Answer:
The amount is $2,742.118
Step-by-step explanation:
Given the principal amount (P) is $1600
Rate of interest (r) = 8 years
Time (n) = 7 years
Compound interest is calculated by the formula,
![A=P\left(1+(r)/(100)\right)^(n)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9q8qrckz2bwboc37gl2n7rvayifk7bano9.png)
Substituting the values,
![A=1600(1+(8)/(100))^(7)](https://img.qammunity.org/2020/formulas/mathematics/high-school/coipdcmofrrwtqoawarpnaoj6i9q9jxrxe.png)
![A=1600 * \left((108)/(100)\right)^(7)](https://img.qammunity.org/2020/formulas/mathematics/high-school/bwyhtu9cy4zexofl8vhh91aiqrm08f0s9q.png)
A = $2,742.118
Therefore, the amount is $2,742.118