The amount that Noah pays to the credit union after 180 days will be $5143.85.
Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
We have
P = $5,000
r = 0.114 / 12 = 0.0095
n = 3
A = 5000(1 + 0.114)³
A = $5143.85
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