Explanation:
Principal (P)=$7869
Rate (R)= 13%
Time (T)= 5 years
Compound Interest (CI)=?
We know that,
CI = P { (1+R/100)^T -1}
= $7869 {(1+13/100)^5 -1}
= $7869 {(113/100)^5 -1}
= $7869 {(1.13)^5 -1}
= $7869 {1.84-1}
= $7869 × 0.84
= $6609.96
Compound Amount= CI+p
= $6609.96+7869
= $14478.96
Therefore, he will have $14478.96 after 5 years.