Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

Respuesta :

Answer:

The balance after 15 year is  $831.25 .

Step-by-step explanation:

Formula

[tex]Amount = P (1 + r)^{t}[/tex]

Where P is the principle and r is the rate of interest in the decimal form and t is the time.

As given

Caiden earned $475 from mowing lawns last summer.

He deposited this money in an account that pays an interest rate of 3.8% compounded annually.

Here

P = $475

3.8% is written in the decimal form.

[tex]= \frac{3.8}{100}[/tex]

= 0.038

r = 0.038

t = 15 years

Put in the formula

[tex]Amount = 475 (1 + 0.038)^{15}[/tex]

[tex]Amount = 475 (1.038)^{15}[/tex]

[tex]Amount = 475\times 1.75(Approx)[/tex]

Amount = $831.25

Therefore the balance after 15 year is  $831.25 .

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