Problem

Complete the following, using ordinary interest. (Use Table 7.1)
Note: Do not round intermediate calculations. Round the "Interest" and "Maturity value" to the nearest cent.
\begin{tabular}{|c|r|c|c|r|r|r}
\hline \multicolumn{1}{|c|}{ Principal } & Interest rate & Date borrowed & Date repaid & Exact time & Interest & Maturity value \\
\hline$\$ 585$ & $9 \%$ & June 05 & December 15 & 193 & \\
\hline
\end{tabular}

Answer

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Answer

\(\boxed{Interest = 28.24, Maturity Value = 613.24}\)

Steps

Step 1 :Convert the interest rate from percentage to decimal form: \(R = 9\% = 0.09\)

Step 2 :Convert the time from days to years: \(T = \frac{193}{360} = 0.5361\) years

Step 3 :Calculate the interest using the formula \(I = PRT\): \(I = 585 * 0.09 * 0.5361 = 28.24\)

Step 4 :Calculate the maturity value by adding the principal and the interest: \(Maturity Value = P + I = 585 + 28.24 = 613.24\)

Step 5 :\(\boxed{Interest = 28.24, Maturity Value = 613.24}\)

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