document.write( "Question 1193159: On March 5, 2016, Blake borrowed $79,650 from Equitable Bank at 4.09% p.a; he settled the loan on June 4, 2019.\r
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document.write( "a) How much was the maturity value of the loan?\r
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document.write( "b) How much was the amount of interest charged on the loan? \n" );
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Algebra.Com's Answer #848856 by CPhill(1959)![]() ![]() You can put this solution on YOUR website! **a) Calculate the Maturity Value**\r \n" ); document.write( "\n" ); document.write( "* **Principal Amount:** $79,650 \n" ); document.write( "* **Annual Interest Rate:** 4.09% \n" ); document.write( "* **Time Period:** March 5, 2016 to June 4, 2019 (approximately 3 years and 3 months)\r \n" ); document.write( "\n" ); document.write( "**Calculate the Total Interest:**\r \n" ); document.write( "\n" ); document.write( "1. **Convert the annual interest rate to a decimal:** 4.09% = 0.0409 \n" ); document.write( "2. **Calculate the interest for one year:** $79,650 * 0.0409 = $3,257.85 \n" ); document.write( "3. **Calculate the interest for 3 years:** $3,257.85 * 3 = $9,773.55 \n" ); document.write( "4. **Calculate the interest for 3 months (assuming 30 days per month):** $3,257.85 * (3/12) = $814.46 \n" ); document.write( "5. **Calculate the total interest:** $9,773.55 + $814.46 = $10,588.01\r \n" ); document.write( "\n" ); document.write( "**Calculate the Maturity Value:**\r \n" ); document.write( "\n" ); document.write( "* Maturity Value = Principal + Total Interest \n" ); document.write( "* Maturity Value = $79,650 + $10,588.01 = $90,238.01\r \n" ); document.write( "\n" ); document.write( "**Therefore, the maturity value of the loan is approximately $90,238.01.**\r \n" ); document.write( "\n" ); document.write( "**b) Amount of Interest Charged**\r \n" ); document.write( "\n" ); document.write( "* **The amount of interest charged on the loan is $10,588.01.**\r \n" ); document.write( "\n" ); document.write( "**Note:** This calculation assumes simple interest. If the loan accrued compound interest, the calculations would be slightly different. \n" ); document.write( " \n" ); document.write( " |