document.write( "Question 1002224: im not sure what ategory this falls under but please help with step by step!!
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document.write( "caroline gets a small business loan for $75,000 to start her hair salon. she will repay the loan with equal monthly payments over 5 years at 8.4% per year compounded monthly.
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document.write( "a) what is carolines monthly loan payment?
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document.write( "b) what is the total amount caroline repays ?
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document.write( "c) how much of the amount repaid is interest?
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document.write( "PLEASE ANSWER I WILL RECOMEND TO EVERYONE!! \n" );
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Algebra.Com's Answer #619231 by Theo(13342)![]() ![]() You can put this solution on YOUR website! i moved it to algebra in finance. \n" ); document.write( "that appears to be a better catgegory for it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the amount of the loan is 75,000. \n" ); document.write( "the annual percentage rate (apr) is 8.4% \n" ); document.write( "the number of years of the loan is 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula for payment of a present value is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "pmt is the payment per time period. \n" ); document.write( "pv is the present value which is also called the loan amount. \n" ); document.write( "r is the interest rate per time period. \n" ); document.write( "n is the number of time periods.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in your problem.....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "pmt is what you want to find. \n" ); document.write( "pv is equal to 75,000 dollars. \n" ); document.write( "r is equal to 8.4 / 100 / 12 = .007 \n" ); document.write( "n is equal to 5 * 12 = 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the time period is in months so you have to translate years into months by multiplying the number of years by 12 to get months. \n" ); document.write( "5 * 12 = 60 as shown above.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are given the interest rate percent per year. \n" ); document.write( "you have to divide that by 100 to get the interest rate per year. \n" ); document.write( "you then divide the interest rate per year by 12 to get the interest rate per month. \n" ); document.write( "8.4 / 100 / 12 = .007 as shown above.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the rest is just replacing the variables in the formula with their respective values.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the following worksheet shows you the calculations required and the result.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can also use an online calculator to get the same result.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "one such calculator can be found here.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://arachnoid.com/lutusp/finance.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with this online calculator, you enter the percent per time period, not the rate.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you would enter .7 rather than .007\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you would make all necessary entries and then you would click on pmt and it will tell you what the payment per time period is.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you also want to make sure that it is set to end of time period payments because that is the default.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you will get what you see below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "answers to your questions are shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a) what is carolines monthly loan payment?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "her monthly payment is 1535.13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b) what is the total amount caroline repays ?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total amount that she repays is the monthly payment * 60 = 1535.13 * 60 = 92,107.8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c) how much of the amount repaid is interest?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the interest she paid is equal to the total amount she paid minus what she owed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that is equal to 92,107.8 - 75,000 = 17,107.8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |