Answer :

Given:

Monthly charge = $40

Loan amount = $840

Let's find the annual interest rate.

To find the annual interest rate, apply the Simple interest formula.

[tex]r=\frac{100\ast interest}{\text{Principal}\times time}[/tex]

Where:

r is the rate

Interest is the store charge = $40

Principal is the loan amount = $840

Here, the time is 1 month.

Let's convert thr time to years, where 1 year = 12 months.

1 month = 1/12 year

Thus, we have:

[tex]\begin{gathered} r=\frac{100\times40}{840\times\frac{1}{12}} \\ \\ r=\frac{100\times40}{840\times0.83} \\ \\ r=\frac{4000}{70} \\ \\ r=\text{ 57.14\%} \end{gathered}[/tex]

Therefore, the annual interest rate is 57.14%

ANSWER:

57.14%

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