Answer:
4x³+8x²-x-2=4x².(x+2)-(x+2)=(4x²-1).(x+2)=(2x-1).(2x+1).(x+2)
Del Gato Clinic's cash account shows a $11,589 debit balance and its bank statement shows $10,555 on deposit at the close of business on June 30. Outstanding checks as of June 30 total $1,829. The June 30 bank statement lists a $16 bank service charge. Check No. 919, listed with the canceled checks, was correctly drawn for $467 in payment of a utility bill on June 15. Del Gato Clinic mistakenly recorded it with a debit to Utilities Expense and a credit to Cash in the amount of $476. The June 30 cash receipts of $2,856 were placed in the bank's night depository after banking hours and were not recorded on the June 30 bank statement.
Answer:
Adjusted bank balance $11,582
Adjusted book balance $11,582
Step-by-step explanation:
Preparation of bank reconciliation statements
DEL GATO CLINIC Bank Reconciliation
June 30
Bank statement balance $10,555
Add: Bank deposit $2,856
Total $13,411
Deduct: Outstanding checks $1,829
Adjusted bank balance $11,582
($13,411-$1,829)
DEL GATO CLINIC Bank Reconciliation
June 30
Book balance $11,589
Add: Error in check $9
($467-$476)
Deduct: Bank charges$16
Adjusted book balance $11,582
($11,589+$9-$16)
Therefore Adjusted bank balance will be $11,582 while Adjusted book balance will be $11,582
Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 17 years?
Answer:
A≈165553.09
Step-by-step explanation:
To the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.
What is continuous compounding?The formula for calculating the amount of money in an account with continuous compounding is:
[tex]A = Pe^{(rt)}[/tex]
where:
A = the amount of money in the account after t years
P = the principal amount invested
r = the annual interest rate (as a decimal)
t = the time in years
e = Euler's number (approximately 2.71828)
Using this formula, we can calculate the amount of money in Samuel's account after 17 years as follows:
[tex]A = 53,000 \times e^{(0.067\times 17)[/tex]
A ≈ $174,529.50
Therefore, to the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.
To know more about continuous compounding follow
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The picture is above I’ll make as brainliest.
Answer: y= -6
Step-by-step explanation:
Answer:
y = -6
Step-by-step explanation:
[tex]y = | - 2| - 8 \\ [/tex]
y = 2 - 8
y = -6
A box of Cookies original cost $2. 15. It is on sale for 15% off. What is the cost of the cookies after discount ?
Answer:
$1.83
Step-by-step explanation:
$2.15 (original price of cookies) - 15% (discount) = $1.83 (rounded since the original total was: 1.8275)
Find each quotient
-7/12 divided by 1/7
Answer:
-4 1/12
i just put it in a calculator
x
+3<4
-7
WHATS THE ANSWER PPL
Answer:
x
12
Step-by-step explanation:
hope it helps
please help what is 400÷56×14÷3
Answer: 33.3_
Step-by-step explanation:
400 divided by 56 equals 17.14_ and 17.4_ multiplied by 14 equals 100 and divided by 3 is equal to 33.3_
Answer: 0.0425
Step-by-step explanation:
PEMDAS
1. 56x14
2. 400/784
3. 0.1275/3
4. 0.0425
I need help with this geometry
this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2
Answer:
have you found the answer I need it to
Need help pleaseeeeeeee
Answer:
B and C
Step-by-step explanation:
Answer:
Transversal/Parallel/Perpendicular
Step-by-step explanation:
What types of lines intersect and are coplanar?
Coplanar Lines
Three types of lines that are coplanar are parallel lines, perpendicular lines, and transversals. These all exist in a single plane, unlike skew lines (which exist in multiple planes). Any two lines in a plane must necessarily either be parallel or intersect.
Help pls. The number of questions that students missed on a 50 question science midterm is represented by the box and whisker plot below.
Which of the following statements is most likely to be true?
A. If the lowest grade of an A is an 88% then about 25% of the students earned an A.
B. About 25% of the students failed the exam.
C. About 75% of the students scored between 80% and 88% and earned a B.
D. If the lowest passing grade is 60% then some students failed the exam.
Answer: Read the step by step to learn and find the answer.
Step-by-step explanation:
We know that to grade something by percentage missing a certain amount of questions effects your grade. Think back to your last test. Maybe you got 3 or 4 wrong and ended up getting an 80 percent. Here we are going based off 50 questions. We know that if we get 19 questions wrong out of 50 we would get a 62%. If we got 14 wrong we would have a 72%. 9.5=81%. 6=88% and 4=92%. We already know the answer is NOT d or c because each section of the box and whisker is 25%. This means that the answer is 100% B. Especially because they asked what was most likely true and none of the other answers matched up.
Factor completely 36x2 + 6x - 6
Answer:
78x - 6 = 72x
Step-by-step explanation:
Greatest common factor of 36 and 6 is 6.
First pull 6 out of each term:
6(6x^2 +x -1)
Now factor the polynomial :
6(3x-1)(2x+1)
Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees
Answer:
I = $ 1,937.50
Step-by-step explanation:
Select two ratios that are equivalent to 2:5
Choose 2 answers.
2:4
2:5
3:6
D 1:1
4:10
Answer:
Step-by-step explanation:
1:1. 4:10
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I will be forever gratefullllajanaamsms smaka
Answer:
slope is 2 and y intercepts at (0,3)
what is the most amount of change you can have in your pocket, but still not be able to give someone exact change for $1.00?
Hint: it is over $1.00 worth of change.
Answer: If you have three quarters, four dimes, and four pennies, you have $1.19, the largest amount of money in coins you could have without being able to make change for a dollar
How many number of terms does 5x^3 have
Answer:
Step-by-step explanation:
5[tex]x^{3}[/tex] has only one term and that is 5[tex]x^{3}[/tex]
Hope this helps
plz mark as brainliest!!!!!
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)? Your answer should be an integer.
===================================================
Explanation:
The remainder theorem says that if we divide some polynomial p(x) over (x-k), then p(k) is the remainder.
The expression x+1 is the same as x-(-1). Comparing this to x-k shows k = -1.
So we'll need to evaluate p(-1)
To do so visually, draw a vertical line through -1 on the x axis. Make sure this vertical line crosses the blue curve at some point, which I'll call point A.
From point A, draw a horizontal line to the y axis. You should reach y = 3.
This is all shown in the diagram below.
In other words, the point (-1,3) is on the blue curve, and p(-1) = 3.
So the remainder is 3.
Answer:
3
Step-by-step explanation:
WHO WANTS BRANLIEST???
Answer: ME
Step-by-step explanation:
PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.
A. On which day did Elsa reach farther: the second or third day?
B. By how much?
Answer:
A) The second day
B) 9/16 inches
A) Elsa reached farther on the second day because -1/16 > -5/8
B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:
-1/16 - (-10/16) = 9/16
Elsa reached 9/16 inches farther on the second day then she did on the first.
Hope this helps and have a great day!
Also stay safe! :))))
3900 people attended a football game. If 25% of the people who attended were teenagers, how many teenagers attended the game?
Answer:
975 teenagers attended the game.
Rewrite in simplest terms: -7(10p-10)+3(-6p-6)
Answer:
−88p + 52
Step-by-step explanation:
Find the slope between the following two points.
(9, 0), (12, -1)
Answer:
[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{-1-0}{12-9}=\frac{-1}{3}=-\frac{1}{3}[/tex]
Hope this helps.
Would you use an equal sign or an inequality symbol in the following situation? Explain how to decide which sign to use
In many states you must be at least 16 years old to obtain a driver's license?
Answer:
You would use an inequality sign because the statement says at least, meaning you have to be above or exactly the age given.
Step-by-step explanation:
You would use an equal sign if it says you must be that exact age, meaning anyone above and under the age of 16 are not allowed to obtain their drivers license.
To make the expression 4x-2 + (2x + 4) equivalent to 2(6x + 7), what must be the value in the box?
[tex]4x - 2 + (2x + 4) = 2(6x + 7) \\ [/tex]
[tex]4x - 2 + 2x + 4 = 12x + 14[/tex]
Simplification
[tex]6x + 2 = 12x + 14[/tex]
Subtract sides 2
[tex]6x + 2 - 2 = 12x + 14 - 2[/tex]
Simplification
[tex]6x = 12x + 12[/tex]
Subtract sides -12x
[tex]6x - 12x = 12x - 12x + 12[/tex]
Simplification
[tex] - 6x = 12[/tex]
Divided sides by -6
[tex] \frac{ - 6}{ - 6}x = \frac{12}{ - 6} \\ [/tex]
[tex]x = - 2[/tex]
It is must be in the box buddy.
And we're done...♥️♥️♥️♥️♥️
On which interval is y = sin(x) strictly increasing?
(Negative pi, negative StartFraction pi Over 2 EndFraction)
(0, pi)
(StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction)
(0, StartFraction pi Over 2 EndFraction)
Answer:
The function is strictly increasing on (0, π/2)
Step-by-step explanation:
We are given the function;
y = sin x
Let's find the derivative;
dy/dx = cos x
Now, Cos 0 = 1
Cos (π/4) = 1/√2
Cos (π/2) = 0
From the above, we can see that as x approaches 0 from (π/2), the value of (cos x) approaches 1. This means it's increasing from 0 to 1.
Thus, the function is strictly increasing on the interval (0, π/2)
Answer:
D. (0, pi/2)
Step-by-step explanation:
If you graph y=sin(X) (I used desmos) then you find that the graph is increasing from 0 to pi/2 :)
3. Corbett’s sold 3 more footballs than basketballs on Saturday. In total, they sold 27 balls. How many of each kind were sold?
4. A hamburger has twice as many calories as a bowl of soup. Together they have 738 calories. How many calories are in each?
5. Carmen’s golf score was 6 strokes less than Lisa’s. Their two scores totalled 168. What was each girl’s score?
6. The sum of two consecutive numbers is 191. What are the two numbers?
Answer:
3.
let basketballs be x
and footballs will be 3 + x
3 + x + x = 27
2x = 27 - 3
2x = 24
x = 12
basketballs were 12 and footballs 15
4.bowl of soup x
hamburger 2x
2x + x = 738
3x = 738
x = 246
bowl of soup 246 calories
hamburger 492 calories
5. lisa x
carmen x - 6
x - 6 + x = 168
2x = 174
x = 87
lisa 87 strokes and carmen 81 strokes
6. first number x
second number x + 1
x + x + 1 = 191
2x = 190
x = 95
first number is 95 and second number is 96
HELP ASAP! TEST QUESTION! p varies directly with q and that p=66 when q=11. What is the value of p when q =2
Answer:
12
Step-by-step explanation:
if p=66 then q=11 that simply means p is 6 times greater than q. so if q=2 then p=12
How can you tell when an equation has no solution or infinite
solutions? Either answer in words or give an example of each
Pls answer this or an example
Answer:
If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.
Kenny takes a cab to the airport. He is charged $2.56 per mile. Kenny pays the driver a total of $59.72 for the trip which includes a tip of $9.8. How many miles did Kenny travel to reach the airport?
Answer:
Kenny traveled 19.5 miles
Step-by-step explanation: