document.write( "Question 59748: Use the compound interest formula A=P(1+r/n)^nt to answer the following questions. In the formula, A is the amount of money in the savings account, P is the principle, r is the interest rate, t is the time that the money is in the account, and n is the number of times the money is compounded per year. Write each answer to the following questions in a complete sentence.\r
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document.write( "a. What will be the amount in the account if $800 is invested at 2.4% compounded monthly for 5 years?\r
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document.write( "b. What amount should a person place in an account if she wishes to have $1500 in 4 years if the money is compounded quarterly at an interest rate of 3.5%? \n" );
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Algebra.Com's Answer #41337 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A=P(1+r/n)^nt [Use the compound interest formula] \n" ); document.write( "A=The amount of money in the savings account \n" ); document.write( "P=The principle \n" ); document.write( "r=The interest rate converted to a decimal \n" ); document.write( "t=The time that the money is in the account \n" ); document.write( "n=The number of times the money is compounded per year \n" ); document.write( ". \n" ); document.write( "Write each answer to the following questions in a complete sentence. \n" ); document.write( "a. If the principle amount is $800 at 2.4% interest compounded monthly for 5 years the total amount will be $901.89. \n" ); document.write( "A = 800 [ 1 + ((.024)/(12)) ]^((12)(5)) \n" ); document.write( "A =901.89 \n" ); document.write( ". \n" ); document.write( "b. If a person wishes to have $1500 in 4 years and it is compounded quarterly at an interest rate of 3.5%, she must invest $1304.83. \n" ); document.write( "A=P(1+(r/n))^(nt) [Solve for P] \n" ); document.write( "P=(1/[1+(r/n))^(nt)] [Plug-in the values] \n" ); document.write( "P = (1500) / {[ 1 + ((.035)/(4)) ]^((4)(4))} \n" ); document.write( "P=1304.8316 \n" ); document.write( ".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |