Answer:
$934.30
Explanation:
We have been given that Alfred invest $60 a month in annuity that earns 4% APR and is compounded monthly. We are asked to find the future value of Alfred's account after 5 years.
, where,
,
,
.
![r=4\%=(4)/(100)=0.04](https://img.qammunity.org/2020/formulas/mathematics/high-school/t5rxqjv5ggg8c18bqxy30w2mg4s1lolxva.png)
![FV=\$60\cdot (1+0.04)^(12*5)](https://img.qammunity.org/2020/formulas/mathematics/high-school/3xykp1nrbfmvuhui280nvyhi0en2r8blvx.png)
![FV=\$60\cdot (1.04)^(70)](https://img.qammunity.org/2020/formulas/mathematics/high-school/v7xauum6ymmxun59dgwtu4h1gphzg9xfrl.png)
![FV=\$60\cdot 15.57161835](https://img.qammunity.org/2020/formulas/mathematics/high-school/jaeq4fl973ey9sduogyz6vsnpbrs1ni79t.png)
![FV=\$934.2971](https://img.qammunity.org/2020/formulas/mathematics/high-school/69yo99a89ie8zijppbh7nkler9wk1fe6o5.png)
![FV\approx \$934.30](https://img.qammunity.org/2020/formulas/mathematics/high-school/thuwyr7pkloafvmz4ghqib1w9yvz47y2tq.png)
Therefore, the future value of Alfred's account in 5 years would be $934.30.