It is your birthday and you are going to get a new cellphone. The day you buy the phone, you will have to pay the $49 interest fee and a $200 down payment. The remaining balance of the phone will be paid off in 24 equal payments. The total bill is $980, including the interest fee and down payment. Write an equation to solve for p, the required monthly payments

Answers

Answer 1

Answer:

$30.46

Step-by-step explanation:

Total payment = down payment + interest fee + 24 equal payments

980 = 200 + 49 + 24 equal payments

24 equal payments = 24 * p, as we add p 24 times

980 = 249 + 24p

subtract 249 from both sides to isolate p and its coefficient

731 = 24p

divide both sides by 24 to isolate p

p = 30.46


Related Questions

A student concludes that the solution to the equation ( 2×+1+3=0 is×=4

Answers

Answer:

x = -2

Step-by-step explanation:

2x + 1 + 3 = 0

2x + 4 = 0

x = -2

The cost C in dollars of producing a certain item is represented by the equation C = n/2+ 20. where n
represents the number of items produced. The revenue R, in dollars, from selling n items is represented by
the equation R=2n+ 5. For what value of n are the cost and revenue equal?
O 5
O 10
O 15
0 20

Answers

The answer is B 10 don’t forget

Considering the definition of equation, for a value of n of 10 the cost and revenue are equal.

What is equation

A first degree equation is a mathematical equality with one or more unknowns.

Solving an equation consists of finding the value that the unknown must take so that equality is fulfilled.

The steps to solve an equation are as follows:

Group similar terms. That is, proceed to pass the terms containing variables from one side of the expression and the constants from the other side of the expression.Finally, the unknown is solved.

Value of n

The cost C in dollars of producing a certain item is represented by the equation C = [tex]\frac{n}{2}[/tex]+ 20, where n represents the number of items produced.

The revenue R, in dollars, from selling n items is represented by the equation R=2n+ 5.

The cost and revenue are equal. Then:

[tex]\frac{n}{2}[/tex]+ 20= 2n+ 5

Solving:

When a term passes to the other side of equality, its sign changes (if it is positive it becomes negative and vice versa):

20 -5= 2n - [tex]\frac{n}{2}[/tex]

15= [tex]\frac{3}{2}n[/tex]

The X is cleared. Since the term in front of it is multiplying, it goes to the other side of the equation by dividing.

15 ÷[tex]\frac{3}{2}[/tex]= n

10= n

Finally, for a value of n of 10 the cost and revenue are equal.

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PLS HELP!!!
Express each of these numbers, as a product of two fractions
1/15

Answers

[tex]\dfrac 13 \times \dfrac 15 = \dfrac 1{15}[/tex]

The product of the two fraction numbers whose result is 1/15 will be 1/3 and 1/5.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The result of the product of the two fraction numbers is given below.

1/15

The factor of the number 15 is given as,

15 = 3 x 5

Then the expression is written as,

1/15 = 1/ (3 x 5)

1/15 = (1/3) x (1/5)

The multiplication of the two rational numbers whose result is 1/15 will be 1/3 and 1/5.

More about the Algebra link is given below.

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I need help plz I've tried so many ways :(​

Answers

Answer:

Below in bold.

Step-by-step explanation:

0.3. e^3x = 27

Taking logs of both sides:

ln (0.3. e^3x) = ln 27

ln (0.3) + ln e^3x = ln 27

ln e^3x = ln 27 - ln(0.3)

3x = ln 27 - ln 0.3

3x = ln(27/0.3) = ln 90

x = 1/3 ln 90

x = ln (90^1/3)

Approximate value of x:

= 1.499936557

= 1.500 to the nearest thousandth.

PLS SOMEONE HELP ME PLS WITH GEOMETRY

Answers

Answer:

They are congruent by SAS

Step-by-step explanation:

MQ=PN

The angles with markings also go together

The line right in the middle is the second side because of the reflexive property

correct?````````````````````````````

Answers

Yeah you’re already correct

y = 30.078(1.003)*.
Question 1
? Question
Use the exponential model to make predictions about closing prices of this stock. Remember that x
represents the number of weeks since the first data point, so the value of x today would be 260.
Type the correct answer in each box. If necessary, round the answers to the nearest cent.
One week from today, the stock is predicted to close at $
One month from today, the stock is predicted to close at $
One year from today, the stock is predicted to close at $

Answers

Using the exponential function, it is found that:

One week from today, the stock is predicted to close at $65,734.37.One month from today, the stock is predicted to close at $66,327.75.One year from today, the stock is predicted to close at $76,584.35.

The exponential function is:

[tex]y(x) = 30078(1.003)^x[/tex]

x  represents the number of weeks since the first data point, so the value of x today would be 260.

Hence, considering today as an starting point, the function is:

[tex]y(x) = 30078(1.003)^{x + 260}[/tex]

One week from now, we have y(1), hence:

[tex]y(1) = 30078(1.003)^{1 + 260} = 65734.37[/tex]

One week from today, the stock is predicted to close at $65,734.37.

One month from now, we have y(4), hence:

[tex]y(4) = 30078(1.003)^{4 + 260} = 66327.75[/tex]

One month from today, the stock is predicted to close at $66,327.75.

One year from now, we have y(52), hence:

[tex]y(52) = 30078(1.003)^{52 + 260} = 76584.35[/tex]

One year from today, the stock is predicted to close at $76,584.35.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25958656

Answer:

One week from today, the stock is predicted to close at $65,734.37.

One month from today, the stock is predicted to close at $66,327.75.

One year from today, the stock is predicted to close at $76,584.35.

Step-by-step explanation:

If sin ∅ = a/b then prove that (sec ∅ + tan ∅) = √b+a/b-a​

Answers

Given that

Sin θ = a/b

LHS = Sec θ + Tan θ

⇛(1/Cos θ) + (Sin θ/ Cos θ)

⇛(1+Sin θ)/Cos θ

We know that

Sin² A + Cos² A = 1

⇛Cos² A = 1-Sin² A

⇛Cos A =√(1-Sin² A)

LHS = (1+Sin θ)/√(1- Sin² θ)

⇛ LHS = {1+(a/b)}/√{1-(a/b)²}

= {(b+a)/b}/√(1-(a²/b²))

= {(b+a)/b}/√{(b²-a²)/b²}

= {(b+a)/b}/√{(b²-a²)/b}

= (b+a)/√(b²-a²)

= √{(b+a)(b+a)/(b²-a²)}

⇛ LHS = √{(b+a)(b+a)/(b+a)(b-a)}

Now, (x+y)(x-y) = x²-y²

Where ,

x = b and y = a

On cancelling (b+a) then

⇛LHS = √{(b+a)/(b-a)}

⇛RHS

⇛ LHS = RHS

Sec θ + Tan θ = √{(b+a)/(b-a)}

Hence, Proved.

Answer: If Sinθ=a/b then Secθ+Tanθ=√{(b+a)/(b-a)}.

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The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value of b?

Answers

If the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833

The given exponential equation is:

[tex]y=ab^x[/tex]

The function passes through the points (3, 25) and (8, 10)

Substitute x = 3 and y = 25 into the function [tex]y=ab^x[/tex]

[tex]25=ab^3[/tex]............................(1)

Substitute x = 8 and y = 10 into the function [tex]y=ab^x[/tex]

[tex]10=ab^8[/tex].............................(2)

Divide equation (2) by equation (1)

[tex]\frac{10}{25}=\frac{ab^8}{ab^3} \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833[/tex]

Therefore, if the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833

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Which value of a makes the equation true?

Answers

Answer:

a = -2

Step-by-step explanation:

3(a + 1.5) = -1.5

3a + 4.5 (-4.5) = -1.5 (-4.5)

3a = -6

a = -2

Justin is making cookies, using a recipe in which the ratio
of flour to chocolate chips to sugar is 4: 2: 1 for each
batch.
a. If he is using 8 cups of flour how many cups of sugar
does he need?
b. To make 3 batches of cookies, what is the ratio of flour
to chocolate chips to sugar?

Answers

Answer:

Part A - he will need 2 cups of sugar  

Part B - 12 : 6 : 3

Step-by-step explanation:

Part A :

8 divided by 4 is 2

Part B :

Multiply all the numbers by 3

Hope this helped! :)

Based on the above chart, which service profession would you choose to enter into if you wanted to ensure that you would have the larg
increase in wages and job availability?
Chart 4. Numeric change in wage and salary employment, service-
providing industry divisions, 1996-2006
A Information
B Financial activities
C Education and health services
D Professional and Business services

Answers

Answer:

Education and health services

Step-by-step explanation:

It has had the most increase over the years, so it will most likely keep increasing and let you get more wages and job opportunities.

This table shows the median age of
women who were first married in different
years. During which time interval did the
age increase at the greatest rate? What
was the rate of increase for that interval?
Year
1950 1980 1990 1995
2000
Age
20.3
22.0
23.9
24.5
25.1
(yr)

Answers

Answer:

1950-1980

Step-by-step explanation:

...........

Help help help help

Answers

Answer:

-1

Step-by-step explanation:

Find the next two terms in the sequence -3, 0, 3, 6

Answers

9, 12.

The rule is add 3 so yeah lol

Answer:

9, 12

Step-by-step explanation:

the rule is +3 for each step in the sequence

Pedro had $14.90 in his wallet. He spent $1.25 on a drink. How much does he have left?
(a) Estimate the answer by rounding to the nearest whole numbers before subtracting.
(b) Find the difference. Show your work (steps).
(c) Check your answer. Is it reasonable? How do you know? Explain.

Answers

Pedro has $13.65 in his wallet left.

How to find money in Pedro's wallet?

Pedro had $14.90 in his wallet.

He spent $1.25 on a drink.

How much does he have left: 14+90 - 1.25 = 13.65

Pedro has $13.65 in his wallet left.

The difference is $1.95.

Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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Mario and Luigi are in a race in their new cars. Luigi has a 1000 foot head start and he travels at a speed of 4000 feet per minute Mario travels at a speed of 4200 feet per minute.
Write an equation to represent how far Luigi has traveled at any given number of minutes.

Write an equation to represent how far Mario has traveled at any given number of minutes.

If the race ends at 3 minutes, who wins?
How long in minutes would it take for Mario and Luigi to tie the race.

Answers

Answer:

mario lost the race and luigi won

Step-by-step explanation:

x : y = 1 : 5. which is the correct equation?

Answers

Th e correct equation will be y = 5x

How to express ratios and proportions

Ratios is a way dividing two integers. For instance, the ratio of a to b is written as a:b.

Given the ratios expressed as x:y = 1:5

Since ratio means division hence;

x:y = 1:5

x/y = 1/5

Cross multiply

1 * y = 5 * x

y = 5x

Hence the correct equation will be y = 5x

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What isa cookoo bird clock thingie mabob

Answers

Answer:

Step-by-step explanation:

yes that’s how it works

A bag contains 5 milk and 9 dark chocolates.
A sweet is selected at random.
What is the probability of choosing: P(milk)

Answers

Answer:

5/9

Step-by-step explanation:

A sweatshirt was on sale for 32% off and cost $40.80 without tax. What was the original price of the sweatshirt?

Answers

Answer:

The original price of the sweatshirt was $127.50

Step-by-step explanation:

$40.80 / .32(32%) = $127.50

The median weight of 15 dogs in a pet store is 12 pounds. Which action could change the median?

Answers

Answer:

If there was another dog whose weight was greater than or less than 12.

Step-by-step explanation:

12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 4

When we add 4 to the data set we have:

184 ÷ 16 = 11.5

This changed the median.

12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 28

When we add 28 to the data set we have:

208 ÷ 16 = 13

This also changed the median.

By adding dog of  weight other than 12 pounds could change the median.

What is median?

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.

If we add the dog whose weight is more than 12 pounds, median will increase .

If we add the dog whose weight is less than 12 pounds, then median will decrease.

Hence, adding  dog of  weight other than 12 pounds could change the median.

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given that a/b = 2/3 and b/c = 3/7 find A:B:C

Answers

Answer:

2:3:7

Step-by-step explanation:

a/b = 2/3

That gives us a clue that a=2 and b=3

But to make sure it states b/c = 3/7

So A:B:C is

2:3:7

Hope this helps!

(8 pts)
7. Solve the following system using a matrix and converting the matrix to reduced row
echelon form, without introducing any fractions.
3x - 2y + 5z = -7
x – y + 3z = -5
4x + y + z = 6

Answers

Answer:

{x,y,z} = {-22/13,29/13,6/13} 

Write the system as the following augmented matrix:

[tex]\left[ \begin{array}{ccc|c} 3 & -2 & 5 & -7 \\ 1 & -1 & 3 & -5 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]

Swap rows 1 and 2 :

[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 3 & -2 & 5 & -7 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]

Eliminate the x coefficient from the last two rows by add -3 (row 1) to row 2, and -4 (row 1) to row 3 :

[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 0 & 1 & -4 & 8 \\ 0 & 5 & -11 & 26 \end{array} \right][/tex]

Eliminate the y coefficient from the first and last rows by adding row 2 to row 1, and -5 (row 2) to row 3 :

[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 1 & -4 & 8 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]

Eliminate the z coefficient from the second row by adding 4 (row 3) to 9 (row 2) :

[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]

Eliminate the z coefficient from the first row by adding row 3 to 9 (row 1) :

[tex]\left[ \begin{array}{ccc|c} 9 & 0 & 0 & 13 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]

Then the solution to the system is (x, y, z) such that

9x = 13 and 9y = 16 and 9z = -14

or

x = 13/9 and y = 16/9 and z = -14/9

find the value of x ​

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

<AEC =X°

first draw line passing with Eand then ,now

<EAB = 116°

the by (consecutive)

180 = <EAB + <1

<1 = (180 - 116 )

<1=. 64°

now second step,

<ECD = 124°

then ,180 = <ECD + <2

<2= (180 - 124)

<2= 56°

= Now add <1 + <2

= (64+ 56)°

➡x° = 120°

Answer:

Solution given:

Construction:

EF parallel to AB and CD is drawn.

let suppose <AEF=a

and

<CEF=b

now

<EAB+<EAB=180°[being co interior angle]

116°+a=180°

a=180°-116°=64°

again

<DCE +<CEF=[being co interior angle]

124°+b=180°

b=180°-124°

b=56°

Now

we know

x=a+b=64°+56°=120°

Value of x is 120°

what is -5.3125 in The real Number System?

Answers

Answer:

It'd be a rational number

Step-by-step explanation:

Real numbers are a set of numbers containing all of the rational numbers and all of the irrational numbers.

Types of numbers in the rational number "section" are decimals, whole, mixed, and fraction numbers whether they are negative or positive they are rational numbers.

Irrational numbers are numbers that cannot be expressed as the ratio of two integers. So they would be square root, pi and more.

What I 0.00005164 written as a single digit times a power of ten

Answers

Answer:

5.164×10^-5

Step-by-step explanation:

[tex]5.164 \times {10}^{ - 5} [/tex]

1
A football team has a net yardage of -31 yards on a series of plays. The team needs a net yardage of 30
3
yards to get a first down. How many yards do they have to get on their next play to get a first down?
On their next play the team needs to get
yards to get a first down.

Answers

Answer:

Please select all of the things below that were the main issues the Anti Federalists

had with the US Constitution.

Select 3 correct answer(s)

A-They felt that the states did nothing to protect peoples' rights

B-They felt that the state had too much power

C-Many people felt that the representatives of the convention in Philadelphia had

overstepped its authority and that the articles should have been amended

D-They were concerned in giving the national government more power

E-They felt that the Constitution did nothing to protect the peoples' rights

Please hurry I’m soo stressed!!!!!!!

Step-by-step explanation:

1 Which of these objects are made from magnetic materials?

a copper pipe

b plastic paper clip

c steel nail

d glass bottle

e iron bar

g nickel coins

frubber tyre

Given the linear equation y = -3x
identify the initial value and rate of change
Hurry timed test!!

Answers

Answer:

here you go. hope u past the test

Step-by-step explanation:

I hope it's helpful :)

Consider the equation below.



Determine which equation has the same solutions as the given equation.

A.

B.

C.

D.

Answers

Be because I did this it’s just extremely hard to explain how to trust OK open helps
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