document.write( "Question 1170456: You borrow $27,000 with a term of two years at an APR of 5%. Use the Estimation Rule for Short-Term Loans to estimate your monthly payment. (Round your answer to the nearest cent.) \n" ); document.write( "
Algebra.Com's Answer #851183 by CPhill(1987)![]() ![]() You can put this solution on YOUR website! Let's break down the Estimation Rule for Short-Term Loans and apply it to this problem.\r \n" ); document.write( "\n" ); document.write( "**Estimation Rule for Short-Term Loans:**\r \n" ); document.write( "\n" ); document.write( "The estimation rule provides an approximate monthly payment for short-term loans. The formula is:\r \n" ); document.write( "\n" ); document.write( "Monthly Payment ≈ (Total Loan + Total Interest) / Number of Months\r \n" ); document.write( "\n" ); document.write( "**1. Calculate the Total Interest:**\r \n" ); document.write( "\n" ); document.write( "* **Loan Amount (P):** $27,000 \n" ); document.write( "* **Annual Percentage Rate (APR) (r):** 5% or 0.05 \n" ); document.write( "* **Loan Term (t):** 2 years\r \n" ); document.write( "\n" ); document.write( "Total Interest = P * r * t \n" ); document.write( "Total Interest = $27,000 * 0.05 * 2 \n" ); document.write( "Total Interest = $2,700\r \n" ); document.write( "\n" ); document.write( "**2. Calculate the Total Loan Amount:**\r \n" ); document.write( "\n" ); document.write( "Total Loan Amount = Loan Amount + Total Interest \n" ); document.write( "Total Loan Amount = $27,000 + $2,700 \n" ); document.write( "Total Loan Amount = $29,700\r \n" ); document.write( "\n" ); document.write( "**3. Calculate the Number of Months:**\r \n" ); document.write( "\n" ); document.write( "Number of Months = Loan Term (years) * 12 \n" ); document.write( "Number of Months = 2 * 12 \n" ); document.write( "Number of Months = 24\r \n" ); document.write( "\n" ); document.write( "**4. Estimate the Monthly Payment:**\r \n" ); document.write( "\n" ); document.write( "Monthly Payment ≈ Total Loan Amount / Number of Months \n" ); document.write( "Monthly Payment ≈ $29,700 / 24 \n" ); document.write( "Monthly Payment ≈ $1237.50\r \n" ); document.write( "\n" ); document.write( "**Therefore, the estimated monthly payment is $1237.50.** \n" ); document.write( " \n" ); document.write( " |