Answer:
$183.7125
Step-by-step explanation:
Given,
Original investment, A = $ 5,175.00
In first year,
The total investment = $ 5,175.00
The amount is increased by 9 %,
Thus, the final amount at the end of first year,
@@MATH_TOKEN_0@@
@@MATH_TOKEN_1@@
@@MATH_TOKEN_2@@
@@MATH_TOKEN_3@@
In Second year,
The total investment = $ 5640.75,
The amount is decreased by 5 %,
Thus, the final amount at the end of second year,
\(A_2=5640.75(1-\frac{5}{100})^1\)
\(=5640.75(1-0.05)\)
\(=5640.75(0.95)\)
\(=\$ 5358.7125\)
Hence,
\(\text{Total Gain}=A_2-A\)
\(=5358.7125-5175\)
\(=\$183.7125\)
