Answer and Explanation:
The computation is shown below;
Given that,
Principal = P = $2000
As we know that
Future value (FV) = P × (1 + R)^n
here,
R = Rate of interest,
N = no of years
Now
A) N = 5, R = 5% = 0.05
FV = $2,000 × (1.05)^5
= $2,553
The Interest earned is
= $2,553 - $2,000
= $553
B) N = 10, R = 5% = 0.05
FV = $2,000 × (1.05)^10
= $3,258
The Interest earned is
= $3,258 - $2,000
= $1,258
C) N = 5, R = 10% = 0.10
FV = $2,000 × (1.10)^5
= $3,221
D) Option A
As in the part B the time period is 10 years as compared with the part A i.e. 5 years having the interest rate same
Also the cumulative interest would be greather than double as compared with part A
