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Nesterboy [21]
3 years ago
11

Some banks now use continuous compounding of an amount invested. In this case, the equation that models the value of an initial

investment of P dollars in t years at an annual interest rate of r is given by
A = Pe^rt. Using this equation, find the value in 5 years of an investment of $2000 that earns 7% annual interest.
Mathematics
1 answer:
Elza [17]3 years ago
5 0

9514 1404 393

Answer:

  $2838.14

Step-by-step explanation:

Fill in the values and do the arithmetic.

  A = 2000e^(0.07·5)

  A = 2000e^0.35 ≈ 2838.14

The value of the investment in 5 years will be $2838.14.

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Answer:

70

Step-by-step explanation:

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5 0
3 years ago
Find the new price for the markdown. Round to the nearest cent if necessary. $12.99 marked down 25%
Y_Kistochka [10]
$9.74

I like to do these equations backwards and multiply the first number by the opposite of it. ( think 1- the percent as a decimal) however, you can do this by converting the percent into a decimal and then subtracting that from the original number.

Have a great day!
8 0
3 years ago
Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side
Ede4ka [16]

Answer:

The length of each blue trim is 17.2 inches

Step-by-step explanation:

Given

See attachment for banner

Required

The length of each blue trim

Since all 4 triangles are equal, then the dimension of 1 triangle is:

Side\ 1 = 10

Side\ 2 = 14

The hypotenuse (x) of the triangle blue trim is represented by the blue trim

So:

x^2 = Side\ 1^2 + Side\ 2^2

This gives

x^2 = 10^2 + 14^2

x^2 = 100 + 196

x^2 = 296

Take square root

x = \sqrt{296

x = 17.2in

3 0
3 years ago
Tina is planning to paint a wood box she is using small paint cans that cover 20 square feet of surface area how many cans will
valkas [14]

Answer:

How much is the ouside of the box?

7 0
3 years ago
on the first day of the year, you have $700 in your bank account. you spend $35 per week. your friend starts the year with $450
____ [38]
5weeks
<span>Good! Since you want to find when both of you have the same amount of money, you can set the two expressions representing the money equal to each other. This gives the equation $700 – $35 per week • weeks = $450 + $15 per week • weeks. Solving the equation, you find that you will have the same amount of money in 5 weeks.</span>
7 0
3 years ago
Read 2 more answers
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