Final answer:
Jody must return a total of $735.84 to the credit union after 2 years when the simple interest is calculated, which is not reflected in the provided options. This suggests the options may contain a typo or a miscalculation.
Step-by-step explanation:
To determine how much Jody will have to repay the credit union at the end of 2 years, we need to calculate the simple interest and then add it to the principal amount of $700.
The formula for calculating simple interest is I = PRT, where I is the interest, P is the principal amount, R is the rate of interest per year, and T is the time in years.
In this case:
- Principal (P) = $700
- Rate (R) = 2.56% or 0.0256 when converted to decimal
- Time (T) = 2 years
Using the simple interest formula:
I = $700 × 0.0256 × 2 = $35.84
To find the total amount to be repaid, we add the interest to the principal:
Total Repayment = Principal + Interest = $700 + $35.84 = $735.84
The closest answer choice to this value is $735.84, which is not listed among the provided options, suggesting there may have been a miscalculation or a typo in the options.