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  • 23-04-2020
  • Mathematics
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Calculate the balance of your account after 15 years. Round your answer to the nearest hundredth.

Calculate the balance of your account after 15 years Round your answer to the nearest hundredth class=

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  • 23-04-2020

Answer:

$13,054.13

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

[tex]A = Pe^{rt}[/tex]

A = total

P = principal amount

r = interest rate (decimal)

t = time (years)

First, lets change 7.25% into a decimal:

7.25% -> [tex]\frac{7.25}{100}[/tex] -> 0.0725

Now, plug the values into the equation:

[tex]A=4,400e^{0.0725(15)}[/tex]

[tex]A=13,054.13[/tex]

Your balance will be $13,054.13

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