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        The cost of attendance at State College is $19,500 for the first year. Devise a periodic savings plan that will allow you to make small deposits for 5 years at a simple interest rate of 1.5% and save enough to pay for the first year at the college.

 Nov 18, 2016
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Are you assuming the deposits are made at the end of the year ($3784.74) or the beginning of the years (3728.81)

   it makes a difference in how it is calculated as you can see......

 

 

IF made at BEGINNING of year, use:

 

F= A   (((1+ i)^(n+1) -1 ) / i )-1)    i=interest in decimal (.015)   n= years(5)   A = annual deposits   F= 19,500

 

 

You CAN brute force it

19500 = A ( 1.015^5 +1.015^4 + 1.015^3 +1.015^2 + 1.015)    Then solve for A  = 3728.81

 Nov 19, 2016
edited by ElectricPavlov  Nov 19, 2016

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