Answer:
a) $225.29
Explanation:
We are given
Adan has decided to purchase an $9000 car
he plans on putting 20% down toward the purchase
so,
loan amount = 80% of 9000
![P=7200](https://img.qammunity.org/2020/formulas/mathematics/high-school/jqoeqnv2f516xzvuxvcolz5nhecelr8hgf.png)
financing the rest at 7.9% interest rate for 3 years
so,
r=7.9%=0.079
now, we can find i
![i=(0.079)/(12)](https://img.qammunity.org/2020/formulas/mathematics/high-school/3um1jq53mwcj8oa357s672zxz917pnoht2.png)
i=0.00658
t=3
![n=12* 3=36](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4klbtnvgpbh1w9kxcyeydgo5tdqqy3qxvy.png)
we can use formula
![PMI=P(i(1+i)^n)/((1+i)^n-1)](https://img.qammunity.org/2020/formulas/mathematics/high-school/s1qnsckhdmx0y9ka2cwjrzxfbgx1ywntap.png)
now, we can plug values
![PMI=7200(0.00658(1+0.00658)^(36))/((1+0.00658)^(36)-1)](https://img.qammunity.org/2020/formulas/mathematics/high-school/u2s23cek8z8e1k6lv1jx94kpsb9p6chqc8.png)
now, we can simplify it
![PMI=225.2765](https://img.qammunity.org/2020/formulas/mathematics/high-school/781ymuoa5fawk3kpifaxd2knml9n9ldd26.png)
So,
His monthly payment is $225.2765