The future value of the account established by the wealthy uncle will be $3,943.86 after 23 years at the two interest rates.
The future value of an amount is the value obtained in the future after compounding at an interest rate.
The future values after years 9 and 23 can be determined using an online finance calculator as follows:
N (# of periods) = 9 years
I/Y (Interest per year) = 4%
PV (Present Value) = $2,100
PMT (Periodic Payment) = $0
Results:
FV = $2,988.95
Total Interest $888.95
N (# of periods) 14 (23 - 9)
I/Y (Interest per year) = 2%
PV (Present Value) = $2,988.95
PMT (Periodic Payment) = $0
Results:
FV = $3,943.86
Total Interest $954.91
Thus, the future value of the account established by the wealthy uncle will be $3,943.86 after 23 years at the two interest rates.
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