Charles will have $184 in 7 years.
Solution:
Given,
Initial deposit: $100 (P)
Interest percentage: 12% (I)
Total number of years: 7 (T)
To find,
Amount after 7 years (A)
Formula,
![A=P(1+r t) \rightarrow(1)](https://img.qammunity.org/2020/formulas/business/middle-school/38eag1ms9abx1ycxwxuhlccxurn2jqzesj.png)
First, converting 12 percent to a decimal , we get
![r = (R)/(100) = (12)/(100) = 0.12 \text{ per year}.](https://img.qammunity.org/2020/formulas/business/middle-school/owc0tup7kvjiwj2ty0slh4yl7iwo7zqcq5.png)
Substituting the values in equation (1) we get,
![A = 100(1 + (0.12*7)) = 184](https://img.qammunity.org/2020/formulas/business/middle-school/3qyvct2v4mloo9u5jhifczfy6fd49s11cl.png)
A = $184.00
The total amount accrued, principal plus interest, from simple interest on a principal of $100.00 at a rate of 12% per year for 7 years is $184.00.