Answer:
$20,225.23
Step-by-step explanation:
You want the future value of a $15,000 deposit that earns 3% interest compounded quarterly for 10 years.
The account value is given by the formula ...
[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]
where principal P earns interest at rate r compounded n times per year for t years.
Here, this becomes ...
[tex]A=15000(1+\dfrac{0.03}{4})^{4\cdot10}=15000\cdot1.0075^{40}\approx20225.229[/tex]
The amount after 10 years will be $20,225.23.