Answer:
The money will gavin have after 5 years is 1616.59$
Step-by-step explanation:
We know that compound interest is given by
![A=P\left(1+(r)/(n)\right)^(n t)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pfiar5076he2fbp6tqyitgotzmj0ay380j.png)
Where A = final amount
P = Principal amount = $1500 (given)
r = interest rate = 1.5% = 0.015
n = no. of times interest applied per time period = given quarterly = 4
t = time period = 5 years
So,
![A=1500\left(1+(0.015)/(4)\right)^(4 * 5)](https://img.qammunity.org/2020/formulas/mathematics/high-school/eytk32i7pe259voz1hmncklhwk5498h2h2.png)
![1500\left(1+(0.015)/(4)\right)^(20)](https://img.qammunity.org/2020/formulas/mathematics/high-school/7kk25db36uywcy4ywjyt5onin4et8su31r.png)
= 1616.59$ which is the money will gavin have after 5 years