Peter put $8,000 into a savings account that pays 6% interest, compounded continuously. After five years, Peter will have $ 8,001.35 10,798.53 21,744.00 160,634.32 in the account.Hint: Use the formula A = Pert, where A is the amount after t years, P is the amount invested, r is the rate of interest, t is the time period, and e = 2.718. Use a calculator to compute your answer

Answers

Answer 1

Answer: We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e^(r t ). We know that r = 0.06; t = 5; e = 2.71 and P = $8,000. A = 8,000 * 2.718^( 0.06 * 5 ) = 8,000 * 2,718^( 0.3 ) = 8,000 * 1.3488158 = 10,798.53. Answer: B. $10,798.53.

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Select one of the factors of 5x2 + 7x + 2. A. (5x – 2) B. (x + 2) C. (5x + 1) D. None of the above

Answers

5 x² + 7 x + 2 =
= 5 x² + 5 x + 2 x + 2 =
= 5 x ( x + 1 ) + 2 ( x + 1 ) =
= ( x + 1 ) ( 5 x + 2 )
Answer:
D ) None of the above.

5 x² + 7 x + 2 =

= 5 x² + 5 x + 2 x + 2 =

= 5 x ( x + 1 ) + 2 ( x + 1 ) =

= ( x + 1 ) ( 5 x + 2 )

Answer:

D ) None of the above.

Which of the following lists does not include all the factors of the number?10: 1, 2, 5, 10
5: 1, 5
4: 1, 2, 4
21: 1, 21

Answers

21: The factors of 21 are 1,3,7,21

A retail store is buying a 500 count for a device and another 200 count for another version of the same device that costs $100 less than the original. What is the maximum cost of the original device, given that the store did not go over the budget of $155,000?(1 point)no more than $150

less than $250

less than $150

no more than $250

Answers

Answer: no more than 250

Step-by-step explanation:

Answer less than 250

Step-by-step explanation:

What is f(x) = 7x2 + 42x written in vertex form?

Answers

Answer:

$\boxed{\boxed{y = 7(x+3)^2-63}}$

Step-by-step explanation:

The general vertex form of parabola is,

$y=a(x-h)+k$

where,

(h, k) is the vertex of the parabola.

The given function is,

$\Rightarrow f(x) = 7x^2 + 42x$

$\Rightarrow y = 7x^2 + 42x$

$\Rightarrow y = 7(x^2 + 6x)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3-3^2)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3)-7\cdot 3^2$

$\Rightarrow y = 7(x+3)^2-7\cdot 9$

$\Rightarrow y = 7(x+3)^2-63$

This is vertex form the given function.

Hello,

y=7x²+42x
==>y=7(x²+2*3*x+9)-63
==>y=7(x+3)²-63

Write
45%
as a fraction in simplest form.

Answers

9/20 because you would get it as a decimal first and it would be .45 then put 100 at the end and then reduce and you end up with 9/20

As a fraction it would be 45/100 and in simplest form it is 9/20

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent the number of magazines and b represent the number of books.

Answers

Number of magazines = m
Number of books = b

The cost of one magazine = $3.95
The cost of one book = $8.95

3.95m + 8.95b = 47.65

Answer: is c. 3.95m+8.95b=47.65

Step-by-step explanation:

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