Jasmine invests $2,658 in a retirement account with a fixed annual interest rate of 9% compounded continuously. What will the account be after 15 years

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Answer:

$10,253.04

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]

P = principal amount

r = interest rate (decimal)

t = time (years)

First, change 9% into a decimal:

9% -> [tex]\frac{9}{100}[/tex] -> 0.09

Next, plug the values into the equation:

[tex]A=2,658e^{0.09(15)}[/tex]

[tex]A=10,253.04[/tex]

The account will have $10,253.04