The future value of the annuity after the end of 5 years is $552.56.
Given that, r =5%= 0.05, 5 years = 5 yearly payments, so n = 5, and P = $100.
The formula to find the annuity formula [tex]FV=\frac{P \times ((1+r)^{n}-1 )}{r}[/tex].
Now, [tex]FV=\frac{100 \times ((1+0.05)^{5}-1 )}{0.05}[/tex]
⇒FV = 100 × 55.256
⇒FV = $552.56
Therefore, the future value of the annuity after the end of 5 years is $552.56.
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