document.write( "Question 837584: You put $5000 in a savings account which earns compound interest at a rate of .5% per month. If you don't make any deposits or withdrawls, how much will you have in your account in 30 years? \n" ); document.write( "
Algebra.Com's Answer #504689 by mxgirl22(39)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You put $5000 in a savings account which earns compound interest at a rate of .5% per month. If you don't make any deposits or withdrawls, how much will you have in your account in 30 years? \n" ); document.write( "-------------------------------------------\r \n" ); document.write( "\n" ); document.write( "1st.) Get important information out of the question.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "$5000 deposited into savings \n" ); document.write( "0.5% interest rate: compounded per month \n" ); document.write( "30 years\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------\r \n" ); document.write( "\n" ); document.write( "2nd.) Use equation: A=P(1+r/n)^nt\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P=Starting amount \n" ); document.write( "n=Number of times it's compounded \n" ); document.write( "r=(Interest)Rate \n" ); document.write( "t=Time\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------\r \n" ); document.write( "\n" ); document.write( "3rd.) Using equation from above, plug in the values you got from the problem. Change the percent into decimal form. Also n=12 since it's compounded monthly.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "**Side note- I like to take care of exponents first on this type of problem since it's easy to make mistakes on this.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A=P(1+r/n)^nt \n" ); document.write( "A=$5000[1+(0.005/12)]^(12)(30) \n" ); document.write( "A=$5000[1+(0.005/12)]^360 \n" ); document.write( "A=$5000[1+(0.000416667)]^360 \n" ); document.write( "A=$5000[1.000416667)]^360 \n" ); document.write( "A=$5000[1.161797946] \n" ); document.write( "A=$5808.989729\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------- \n" ); document.write( "4th.) In 30 years you will have $5808.98 in your savings account.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |