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 .