a) Simple interest earned by customer in 10 years is $ 675
b) Account balance after 10 years is $ 5175
Solution:
The simple interest is given by formula:
![Simple\ Interest = (p * n * r)/(100)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/odoktfcsw6fist9i9x8d21ec4goty3kpa1.png)
Where,
"p" is the principal
"r" is the rate of interest
"n" is the number of years
a. How much interest will the customer earn in 10 years?
From given,
Principal = p = $ 4500
Simple interest rate = r =1.5 %
n = 10
Substituting the values in formula,
![Simple\ Interest = (4500 * 10 * 1.5)/(100)\\\\Simple\ Interest = 450 * 1.5\\\\Simple\ Interest = 675](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jcmhzuqsrkhmi33snyohwg4tzfso6iiwsl.png)
Thus simple interest earned by customer in 10 years is $ 675
b. What will the account balance be after 10 years ?
Account balance = principal + simple interest
Account balance = 4500 + 675 = 5175
Thus account balance after 10 years is $ 5175