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Eric borrowed $3,805 from Roger and signed a contract agreeing to pay it back 10 months later with 5.05% simple interest.

After 7 months, Roger sold the contract to Chris at a price that would earn Chris 5.00% simple interest per annum.

Calculate the price that Chris paid Roger.

User Iamsaksham
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Given that Eric borrowed $3,805 from Roger and signed a contract agreeing to pay it back 10 months later with 5.05% simple interest. After 7 months, Roger sold the contract to Chris at a price that would earn Chris 5.00% simple interest per annum.To calculate the price that Chris paid Roger, we shall use the concept of Simple interest formula.Simple Interest = P × r × t, where P is the principal amount, r is the annual rate of interest and t is the time in years. We are also given that Eric will pay the loan amount back after 10 months with an annual interest rate of 5.05%.Since Chris bought the contract after 7 months and the loan would be paid after 10 months, the time period for Chris is 10 months - 7 months = 3 months.P = $3,805, r = 5.05% and t = 3/12 years = 0.25 yearsSimple Interest = 3805 × 5.05% × 0.25 = $48.12So, Eric will have to pay an additional $48.12 as interest after 10 months.To calculate the price that Chris paid Roger, we use the formula of simple interest again.P = $\frac{Simple Interest}{r × t}$$P = \frac{48.12}{5.00% × \frac{3}{12}}$P = $\frac{48.12}{0.125}$P = $384.96$So, Chris paid Roger a price of $384.96 for the contract. Therefore, this is the required answer.

User Alex Zhukovskiy
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