Exeter has a materials standard of 1 pound per unit of output. Each pound has a standard price of $25 per pound. During July, Exeter paid $138,000 for 5,040 pounds, which it used to produce 4,780 units. What is the direct materials price variance?

Answers

Answer 1

Answer:

$19,595 unfavorable

Explanation:

The computation of direct material price variance is shown below;

= (Actual price - Standard price) × Actual quantity used

Given that;

Actual price = $138,000/4,780 units

= $28.87 × 1 pound

= $28.87 per pound

Actual quantity used = 4,780 units

Standard price = $25 per pound

= ($28.87 per pound - $25 per pound) × 4,780 units

= ($3.87 per pound) × 5,040 pounds

= $19,595 unfavorable

The direct material price variance is unfavorable because actual price is more than standard price.


Related Questions

Grey, Inc., uses a predetermined rate to apply overhead. At the beginning of the year, Grey budgeted its overhead costs at $220,000, direct labor hours at 55,000, and machine hours at 20,000. Actual overhead costs incurred were $233,250, actual direct labor hours were 62,000, and actual machine hours were 15,000. If the PDOH rate uses machine hours as the cost driver, what is the total amount credited to the overhead account control account

Answers

Answer:

$165,000

Explanation:

Calculation for what is the total amount credited to the manufacturing overhead account for the year for Grey

First step is to calculate Predetermined overhead rate using this formula

Predetermined overhead rate = Estimated overhead costs / Estimated machine hours

Let plug in the formula

Predetermined overhead rate = $220,000 / 20,000 machine hours

Predetermined overhead rate= $11

Second step is to calculate Total amount credited to the factory overhead account for the year for Grey

Using this formula

Total amount credited to the factory overhead account for the year for Grey = Predetermined overhead rate × Actual machine hours

Let plug in the formula

Total amount credited to the factory overhead account for the year for Grey= $11 × 15,000 machine hours

Total amount credited to the factory overhead account for the year for Grey = $165,000

Therefore the Total amount credited to the factory overhead account for the year for Grey will be $165,000

Rory Company has a machine with a book value of $101,000 and a remaining five-year useful life. A new machine is available at a cost of $116,000, and Rory can also receive $83,000 for trading in its old machine. The new machine will reduce variable manufacturing costs by $17,000 per year over its five-year useful life. Calculate the incremental income. (Any losses or outflows should be entered with a minus sign.)

Answers

Answer:

Incremental Income $52,000

Explanation:

The computation of the incremental income is shown below:

Reduction in variable manufacturing costs ($17,000 × 5) $85,000

Cost of the new machine -$116.000

Cash received from trade in old machine $83,000

Incremental Income $52,000

The machine should replacement as there is an increase in income by $52,000

Sandra goes into her favorite shoe store where they are holding a special sales promotion. The salesperson explains to Sandra that if she purchases one pair of shoes, she would receive a free pair of socks. Which type of sales
promotion is this?
NEED ASAPPP ITS AN EXAM..

Answers

Answer:

Premium

Explanation:

A premium type of sales promotion is this. Thus, option B is correct.

Who is a salesperson?

The salesman is in charge of welcoming clients, guiding them toward the merchandise they need, and counting up transactions. You need to be a great communicator if you want to succeed in sales. A successful salesman achieves sales goals while being courteous and helpful to consumers.

The salesman is in charge of welcoming clients, guiding them toward the merchandise they need, and counting up transactions. You need to be a great communicator if you want to succeed in sales. A successful salesman achieves sales goals while being courteous and helpful to consumers.

With the confirmation of purchase, you can receive a reward for nothing or for minimal shipping as well as a handling fee. Therefore, option B is the correct option.

Learn more about salesperson, here:

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What is the standard deviation of a stock that has a 10% chance of earning 18%, a 10% chance of making 11%, a 40% chance of making 5%, and a 40% chance of making 22%?
A. 7.95%.
B. 13.70%.
C. 7.78%.
D. 13.05%.

Answers

Answer:

A. 7.95%.

Explanation:

Calculate the expected rate of return for the investment as follows:

[tex]\begin{aligned}

\text { Expected rate of return } &=(\text { Probability } \times \text { Rate of return })+(\text { Probability } \times \text { Rate of return })+\\

&(\text { Probability } \times \text { Rate of retum }) \\

=&(0.40 \times 15 \%)+(0.50 \times 10 \%)+(0.10 \times-3 \%) \\

=& 0.06+0.05-0.003 \\

=& 0.107[/tex]

Calculate the standard deviation of the investment as follows:

[tex]\begin{aligned}

\text { Standard deviation }=&\left\{\begin{array}{l}

\text { Probability } \left.\times(\text { Return }-\text { Expected return })^{2}\right)+ \\

\text { (Probability } \left.\times(\text { Return }-\text { Expected return })^{2}\right)+ \\

\text { (Probability } \left.\times(\text { Return }-\text { Expected return })^{2}\right)

\end{array}\right.[/tex]

=[tex]\sqrt{\left(0.40 \times(0.15-0.107)^{2}\right)+\left(0.50 \times(0.10-0.107)^{2}\right)+} \\

=\sqrt{0.0007396+0.0000245+0.0018769} \\

=\sqrt{0.002641} \\

=0.05139066063011[/tex]

Select the correct answer.
Which type of temporary group is formed to address a specific situation in an organization?

A. interest group
B. secondary group
C. self-managed group
D. task group
E. command group

Answers

Answer:

D. Task group

Explanation:

Task groups form to accomplish a specific task.

Answer:

D task group

Explanation:

Bryant Company has a factory machine with a book value of $93,500 and a remaining useful life of 6 years. It can be sold for $30,600. A new machine is available at a cost of $534,000. This machine will have a 6-year useful life with no salvage value. The new machine will lower annual variable manufacturing costs from $556,800 to $460,200. Prepare an analysis showing whether the old machine should be retained or replaced.

Answers

Answer:

Bryant Company

Analysis of old and new machines:

                                           Old Machine       New Machine

Annual depreciation costs   $10,833               $89,000

Savings from variable

  manufacturing costs             0                      $96,600

Net savings                          ($10,833)                $7,600

Explanation:

a) Data and Calculations:

Book value of old machine = $93,500

Remaining useful life = 6 years

Salvage value = $30,600

Depreciable amount of old machine = $62,900 ($93,500 - 30,600)

Annual Depreciation cost of old machine = $10,483 ($62,900/6)

Cost of new machine = $534,000

Useful life = 6 years

Depreciable amount of new machine = $89,000 ($534,000/6)

Reduction in variable manufacturing costs = $96,600 ($556,800 - $460,200)

Savings from new machine = $7,600

b) Conclusion: The old machine should be replaced.  It costs more to retain the old machine than it costs to replace it.  There will be a net gain of $7,600 from the new machine, from the reduction of the variable manufacturing costs from $556,800 to $460,200.

A production line is to be designed for a product whose completion requires 21 minutes of work. The factory works 400 minutes per day. Can an assembly line with five workstations make 100 units per day?

a. yes, with exactly 100 minutes to spare
b. no, but four workstations would be sufficient
c. no, it will fall short even with a perfectly balanced line
d. yes, but the line's efficiency is very low
e. cannot be determined from the information given

Answers

Answer:

C. no, it will fall short even with a perfectly balanced line

Explanation:

In this question, if a factory has a work time that is 400 minutes per day. The required units per day is a 209 units. With 5 available workstations.

Then we would calculate the time cycle as

400 x 5/100

= 400x0.05

= 20minutes/unit

So In conclusion, if the time required is more than 20 minutes, that is 21 minutes, it is going to fall short with a perfectly balanced line. Hence option c.

The correct option is c.

c. no, it will fall short even with a perfectly balanced line

The following information should be considered:

An assembly line having with five workstations that can't make 100 units per day.Because it will fall short even with a perfectly balanced line

Therefore, we can conclude that the correct option is c.

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Short Company purchased land by paying $22,000 cash on the purchase date and agreed to pay $22,000 for each of the next seven years beginning one-year from the purchase date. Short's incremental borrowing rate is 10%. On the balance sheet as of the purchase date, after the initial $22,000 payment was made, the liability reported is closest to: (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided.)

Answers

Answer:

The liability reported is closest to $107,105.21.

Explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the the liability reported  =?

P = Annuity payment = $22,000

r = Student's desired return rate = 10%, or 0.10

n = number of years = 7

Substitute the values into equation (1) to have:

PV = $22,000 * ((1 - (1 / (1 + 0.10))^7) / 0.10)

PV = $22,000 * 4.86841881769293

PV = $107,105.21

Therefore, the liability reported is closest to $107,105.21.

Suppose we have a bond issue currently outstanding that has 20 years left to maturity. The coupon rate is 8% And coupons are paid semiannually. The bond is currently selling for $828 per $1,000 bond. What is the cost of debt?
a. 8%
b. 9%
c. 10%
d. 11%
e. 12%

Answers

Answer:

c. 10%

Explanation:

The Yield to Maturity(YTM) of the Bond is the cost of the debt. So, we need to find the YTM first.

Here i will use a Financial Calculator to enter and compute the YTM as follows :

N = 20× 2 = 40

PMT = ($1,000 × 8%) ÷ 2 = $40

PV = $828

P/YR = 2

FV = 1,000

I or YTM = ?

Thus the cost of the Bond is 10%

The seller agrees to pay the listing real estate agent a commission of 5%. The property is listed at $400,000, the buyer offers and seller agrees on price of $380,000 and it closes at that price. The buyer obtains a loan of $300,000. The property is tax assessed at $350,000. The commission most likely paid to the real estate agent is:__________
A. No commission is owed because it did not sell at the list price
B. $17,500
C. $20,000
D. $19,000

Answers

Answer:

C. $20,000

Explanation:

Note that we are talking about the listing commission. Listing commission will be calculated on the listed price.

So, the listed price will be = 400,000 * 5%

= $20,000

Thus, the commission most likely paid to the real estate agent is $20,000

What type of mortgage requires fixed monthly interest payments for 3 to 5 years whereupon full payment of the mortgage principal is due?

Answers

Answer:

Balloon Payment Mortgages

Explanation:

Mortgages are simply loans to persons or businesses to get/purchase homes, land, or other real property.

A balloon payment mortgage is a a type of mortgage known for its ability to not fully amortize over the term of the note, thereby leaving a balance due at maturity. Its last or final payment is called a balloon payment because of its notable large size. This type of mortgages are more more common in commercial real estate than in residential real estate. the above statement of it that it require fixed monthly interest payments for 3 to 5 years whereupon full payment of the mortgage principal is due is correct.

1. Working with Numbers and Graphs Q1 Last year, Raphael bought a bond for $10,000 that promises to pay him $900 per year. This year, he can buy a bond for $10,000 that promises to pay $1,000 per year. If Raphael wants to sell his old bond, what is its price likely to be

Answers

Answer:

$9,000

Explanation:

Last year, Raphael bought a bond for $10,000 that promises to pay him $900 per year

Interest rate = $900/$1000 * 100 = 9%

This year, he can buy a bond for $10,000 that promises to pay $1,000 per year.

Interest rate = 1,000/10000 * 100 = 10%

If Raphael wants to sell his old bond, he has to lower its price in order to compensate for rise in interest rate. The bond, which he would sell, should pay 10% interest PA

=>> 900/10% * 100 = $9,000

So, the bond price is likely to be $9,000

The Treasury bill rate is 6%, and the expected return on the market portfolio is 10%. According to the capital asset pricing model:________

Answers

Answer: See explanation

Explanation:

Your question is not complete. Here is the completed question:

The Treasury bill rate is 6%, and the expected return on the market portfolio is 10%. According to the capital asset pricing model, what is the risk premium?

The risk premium will be the difference between the market portfolio and the treasury bill rate. This will be:

= 10% - 6%

= 4%

To determine the dutiable status of goods, it is necessary to know their classification, country of origin, and details pertaining to:___________.a. Perishable/non-perishable status.b. Partially or fully manufactured goods.c. Raw materials to be used in production.d. Value.

Answers

Answer:

d. Value

Explanation:

The dutiable goods are subjected to duties. Dutiable goods may be defined as the goods and products on which tax have to be paid when they brought to a country from other countries.

In order to known the dutiable status of any goods, it is very important to know the classification of the good, the place of their origin and all the details relating to its value.

An aging of a company's accounts receivable indicates that $8400 are estimated to be uncollectible. If Allowance for Doubtful Accounts has a $3800 credit balance, the adjustment to record bad debts for the period will require a:_____.
1. debit to Bad Debts Expense for $1,800.
2. debit to Bad Debt Expense for $2,200.
3. credit to Allowance for Doubtful Accounts for $3,000.
4. debit to Bad Debts Expense for $2,000.

Answers

Answer:

Debit to Bad Debts Expense for $4,600

Explanation:

Based on the information given we were told that the company's accounts receivable shows the amount of $8400 which was estimated to be uncollectible which means that If Allowance for Doubtful Accounts has the amount of $3800 as credit balance, the adjustment to record bad debts for the period will require a Debit to Bad Debts Expense for $4,600 calculated as

Bad Debts Expense=Accounts receivable-Allowance for Doubtful Accounts

Bad Debts Expense=$8,400-$3,800

Bad Debts Expense=$4,600

Use this information to answer the question. All numbers are in millions.
Population of the nation 125
Size of the labor force 75
Number of employed workers 50
Number of unemployed workers 25
What is the unemployment rate for this nation?
a. 5 percent
b. 20 percent
c. 25 percent
d. 33 percen

Answers

Answer:

25 percent

Explanation:

Franklin corporation issues $97,000, 8%, 5-year bonds on January 1, for $101,370. Interest is paid semiannually on January 1 and July 1. If Franklin uses the straight-line method of amortization of bond premium, the amount of bond interest expense to be recognized on July 1 is:________.
a. $4,317
b. $7,760
c. $3,443
d. $3,880

Answers

Answer:

c. $3,443

Explanation:

Date     Account Titles                              Debit      Credit

Jan 1     Cash                                              101370

                  Bond payable                                          97000

                  Premium on issue of bonds                    4,370

                   (101370-97000)

Jul 1        Interest expenses (3680 - 437)  3,443

              Premium on issue on bond         437

              (4379/5 * 6/12)

                     Cash (97,000*8%*6/12)                          3,800

A time draft is a negotiable instrument, which means that it:_______
a. is also known as a bill of lading.
b. has no value given the deferred nature of the document.
c. can be sold to an investor.
d. cannot be transferred.
e. is generally not preferred in international transactions.

Answers

Answer:

c. can be sold to an investor.

Explanation:

The time draft would permits the draft bearer having two options that involved to sell it at a discount prior to the maturity time or hold it till maturity in the case when the amount is fully paid

Therefore as per the given situation, the time draft means that it could be sold to an investor

hence, the correct option is c

ANd, the rest of the options are wrong

The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $50 per share for months. The price of a 3-month put option with an exercise price of $50 is $4. If the risk-free interest rate is 10% per year, what must be the price of a 3-month call option on C.A.L.L. stock at an exercise price of $50 if it is at the money

Answers

Answer:

$5.18

Explanation:

Calculation for call option

Using this formula

Call option=Put option + Exercise price-[Exercise price/(1+Risk-free interest rate)^Time

Let plug in the formula

Call option= 4 + 50 - [50/(1+.10)^1/4]

Call option= 4 + 50 - [50/(1.10)^1/4]

Call option= $5.18

Therefore what must be the price of a 3-month call option on C.A.L.L. stock at an exercise price of $50 if it is at the money is $5.18

In addition to candidates who have the technical skills required of the position, what else do employers look for

Answers

Answer:

a personality that fits with their work environment

Explanation:

The second most important trait that employers look for is a personality that fits with their work environment. In almost all jobs the candidate will be working with a varied number of other employees in the company. The employers want to make sure that the candidate's personality matches the personality of the other employees so that they make sure that the candidate will be a good fit in the company and get along with the rest of the employees. This will almost guarantee that the candidate will work as efficiently as possible.

How do i get as much mony as bill gates todey?

Answers

Answer:

be very famous

Explanation:

be white
why do i need to have 20 letters

Jasmine's Boutique has 2,000 bonds outstanding with a face value of $1,000 each and a coupon rate of 9 percent. The interest is paid semiannually. What is the amount of the annual interest tax shield if the tax rate is 34 percent?A. $58,500B. $60,750C. $60,100D. $62,250E. $61,200

Answers

Answer:

E. $61,200

Explanation:

total interest expense = 2,000 bonds x $1,000 per bond x 9% = $180,000

the interest shield is the amount of taxes saved by paying interest expense

interest shield = total interest expense x tax rate = $180,000 x 34% = $61,200

this means that the company will be able to reduce its income taxes by $61,200 because it paid interests on their bonds

Susan won $2,000 at the blackjack tables on her birthday. Her winnings are an example of:________.
a. an in-kind transfer.
b. transitory income.
c. life-cycle income.
d. permanent income.

Answers

Answer:

B. Transitory income.

Explanation:

As the name sounds, it is seen to be a form of income that is said to be anticipated. This form of income does not play key roles in the standard of living of the said person. This income is clearly a short-lived kind as it cannot hold a person or family towards a certified period of time. Also in many cases, economists are seen to believe that people base their consumption on their permanent income, therefore, inequality in consumption is one gauge of inequality of permanent income; making consumption less effectective, as transitory changes in income, they are more equally is current income.

In the Assembly Department of Hannon Company, budgeted and actual manufacturing overhead costs for the month of April 2020 were as follows.
Budget Actual
Indirect materials $16,000 $14,300
Indirect labor 20,000 20,600
Utilities 10,000 10,850
Supervision 5,000 5,000
All costs are controllable by the department manager.
Prepare a responsibility report for April for the cost center.

Answers

Answer:

Hannon Company

Assembly Department

Responsibility Report

For the month of April 2020:

                               Budget       Actual      Variance

Indirect materials   $16,000    $14,300     $1,700  F

Indirect labor           20,000     20,600         600  U

Utilities                     10,000      10,850          850  U

Supervision               5,000       5,000         0       No effect

Total                      $51,000   $50,750      $250  F

Explanation:

a) Data and Calculations:

                               Budget       Actual      Variance

Indirect materials   $16,000    $14,300     $1,700  F

Indirect labor           20,000     20,600         600  U

Utilities                     10,000      10,850          850  U

Supervision               5,000       5,000         0       No effect

Total                      $51,000   $50,750      $250  F

b) The Assembly Department's responsibility report is a the budget analysis that compares its actual and budgeted amounts of controllable costs for the month of April, 2020.  The purpose of this report is to assign responsibility, improve performance, and hold a department or center responsible for its activities.

thinking strategically about industry and competitive conditions in a given industry involves evaluating such considerations as

Answers

Answer:

E. how often sellers alter their prices, how sensitive buyers are to price differences among sellers, whether the item being purchased is a good or a service, and whether buyers buy frequently or infrequently.

Explanation:

Options are "A. cultural, lifestyle, and demographic changes, B. the birth of new industries, new knowledge, and disruptive technologies, C. weather, climate change, and water shortages, D. interest rates, exchange rates, unemployment rates, inflation rates, and economic growth, E. how often sellers alter their prices, how sensitive buyers are to price differences among sellers, whether the item being purchased is a good or a service, and whether buyers buy frequently or infrequently."

Thinking strategically about industry and competitive conditions in a given industry involves evaluating such considerations as how often sellers alter their prices, how sensitive buyers are to price differences among sellers, whether the item being purchased is a good or a service, and whether buyers buy frequently or infrequently.

The strategy decision making about the industry and competitive conditions involve evaluating the prices, buyer sensitivity to the prices, serviceability & frequency.

The firm should shut down if the market price is:___________.
A. above $8.
B. above $6.30 but less than $8.
C. above $4.50 but less than $6.30.
D. less than $4.50.

Answers

Answer: D. less than $4.50.

Explanation:

In the short run, a business should shutdown if the market price is below the Average Variable costs as because at this point, only losses are being made if the company stays in action.

If price is below the variable cost, it is best to shutdown so that the company can stop incurring the variable costs and incur the fixed cost alone. The lowest Average Variable cost is $4.50 for this good and so if the price falls below $4.50, the should shutdown.

A coupon on a 2-liter bottle of Pepsi, offering $1.00 off on a bag of potato chips, is which type of coupon:_____

a. cross-ruffing
b. scanner-delivered
c. response-offer
d. instant-redemption

Answers

Answer: a. cross-ruffing

Explanation:

Cross-ruffing coupons are coupons that are offered to a person buying a good on another good to encourage them to buy that other good as well. These are usually offered on goods produced by the same company or companies that have a relationship with each other.

They are a brilliant marketing ploy to result in one relating goods to another to boost sales. Offering a coupon on a bag of potato chips upon buying a bottle of Pepsi is there a cross-ruff coupon.

A one year call option has a strike price of 50, expires in 6 months, and has a price of $4.74. If the risk free rate is 3%, and the current stock price is $45, what should the corresponding put be worth?
A) $12.74.
B) $10.48.
C) $5.00.
D) $9.00.
E) $8.30.

Answers

Answer:

$9.90

Explanation:

Using Put Call Parity Equation:

C + X/(1 + r)^t + S + P

Call price + PV of exercise price = Spot price + Put price

4.74 + 50/(1.03)^0.30 = 45 + P

4.74 + 50/1.00891 = 45 + P

4.74 + 49.5584 = 45 + P

P = 4.74 + 49.5584 - 45

P = 9.2984

P = $9.90

Thus, the Price of Put Option with $50 exercise price = $9.90

A project that cost $80000 with a useful life of 5 years is being considered. Straight-line depreciation is being used and salvage value is $5000. The project will generate annual revenues of $24350. The annual rate of return is:_______
a. 17%
b. 50.3%
c. 16%
d. 15%

Answers

Answer:

22%

Explanation:

Net income = Annual cash flow - Depreciation

Net income = 24350 - (80,000-5,000 / 5)

Net income = 24350 - 15,000

Net income = $9350

Average investment = Beg. value + End. Value / 2

Average investment = 80,000 + 5,000 / 2

Average investment = $42,500

Annual rate of return = Net income / Average investment * 100

Annual rate of return = $9350 / $42,500 * 100

Annual rate of return = 0.22 * 100

Annual rate of return = 22%

Answer:Annual Rate of Return =22%

The correct option is not given

Explanation:

Annual Rate of Return = Net Income / Average Investment x 100

Net Income= Annual Cash flow - Depreciation

Straight-line depreciation =Cost - salvage value / useful years

= 80,000 - 5,000 / 5

75,000/5= $15,000

Net Income=$24,350 - $15,000

               =$9,350

Average Investment= Initial investment + salvage value / 2

$80,000 + 5000 / 2

= $85,000/ 2

$42,500

Annual Rate of Return =$9, 350/ $42,500 x 100

= 0.22 x100

=22%

Phyllis makes a deal with her niece Stephanie that if Stephanie gave up gambling for two years, Phyllis would pay Stephanie $5,000. Stephanie gave up gambling for the required two years. Does this deal have valid consideration

Answers

Answer:

Yes .

Explanation:

I think so because Stphanie did what Phyllis asked , now she should get her well deserved $5,000 .

Other Questions
30 POINTS While the average prisoner costs $20,000 to house, those in maximum security can cost up to $80,000 per year.TrueFalse There is a multitude of evidence that supports how life has changed over time due to variation in the gene pool of different species. Which of the following choices below represents a scientific theory that explains these changes? *A. As environments and ecosystems change over time, those that acquire suitable traits are more likely to survive and reproduce and the gene pool changes because organisms must adapt to survive and reproduce.B. As environments and ecosystems change over time, those with variations for traits that are more successful in the new conditions are more likely to survive and reproduce, thus changing the allele frequency in the gene pool.C. Because the environments and ecosystems show little change over time, organisms are already adapted for surviving in their given habitats for which they are made.D. Because the environments and ecosystem show little change of time, the organisms that choose to adapt to different environments will migrate and become suited for new habitats. How do i (F)ind the (R)atio in the( E ) probl(E)m ...points what was the purpose of the first colonial congress. Please answer this..True or False: You can execute a Right Face from the position of Parade Rest? Please I need helpppA)the vertex is (0,15)B)h=2 and k=3 C)h=3 and k=2D) (2,3) can be used as the extra pointE) the value in the equation is positive F) the value in the equation is negative When people make sacrifices, which of the following must be true?A. They give something upB. They hope to make moneyC. They have faith in themselves D. They offer someone an apology How did Spain mess itself up if cost of price is 3685 sr and selling price 3996 then what is the profit. Yknow if you see this cedric I hope you know I hate you now!Whats 800000000000.989 times 78.902 Find the first four terms of the sequence given by the following.an = 42-8(n-1), n=1, 2, 3.... If we know the area of this base, we'll know how many cubes can fill the bottom layer. We can find the area of the rectangleby multiplying the length times the width. Help me out.The base of the prism is a rectangle with a length of 6 inches and a width of 4 inches.Find the area of the base.3 inches4 inches(width)4 inches6 inches6 inches(lenght)Area = length x widthsquare inches Find the output y, when the input,x, is 6 I will give brainliest for the first person who gets this question correctWhat was included in the original Pepsi-Cola recipe?A coke from coalB) saltpeterC) digestive enzymeD) heroin help me plz ITS URGENT The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance of 249,001. If he is correct, what is the probability that the mean of a sample of 36 cars would be less than 3245 miles i have 10 minss Type the correct answer in each box. If necessary, use / for the fraction bar(s).Find the solution for this system of equations.12x + 15y = 34-6x + 5y = 3x = y = what other ancient civilization was very similar to the maya glyph writing system However, heavy the burden may be, you cannot ______ your responsibilities as the head of this household. (a). alienate(b). acclimate (c). abdicate (d). abets (e). abhor HELP FAST WILL MARK BRAINLYEST