document.write( "Question 1195633: Suppose you invest $150 a month for 3 years into an account earning 7% compounded monthly. After 3 years, you leave the money, without making additional deposits, in the account for another 25 years. How much will you have in the end? \n" ); document.write( "
Algebra.Com's Answer #828393 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! P=m((1+(r/n))^nt-1/(r/n); r/n=.07/12; nt=12*3=36 \n" ); document.write( "P=150(1.00583333)^36-1/0.00583333 \n" ); document.write( "round only at end \n" ); document.write( "=$5989.52 \n" ); document.write( "now for that over the next 25 years, use P=5989.52(1.0058333333)^300 \n" ); document.write( "=$34,392.50 is the answer. \n" ); document.write( "rough check: \n" ); document.write( "rule of 70 says double in 10 years. \n" ); document.write( "25 years is two doublings and more. but not 3. \n" ); document.write( "Two doublings is almost $24,000. Three would be $48,000. This answer is reasonable. \n" ); document.write( " |