SOLUTION: If you need $50,000 eight years from now, what is the minimum amount of money you need to deposit into a bank account that pays 6% annual interest, compounded (give your answers t

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: If you need $50,000 eight years from now, what is the minimum amount of money you need to deposit into a bank account that pays 6% annual interest, compounded (give your answers t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1206586: If you need $50,000 eight years from now, what is the minimum amount of money you need to deposit into a bank account that pays 6% annual interest, compounded (give your answers to the nearest cent):
(a) annually? $ 
(b) monthly? $ 
(c) daily (assuming 365 days in a year)?

Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

Answers:
(a) 31370.62
(b) 30976.20
(c) 30940.39

--------------------------------------------------------------------------

Work Shown for Part (a)

A = P*(1+r/n)^(n*t)
50000 = P*(1+0.06/1)^(1*8)
50000 = P*1.59384807
P = 50000/1.59384807
P = 31370.61865627
P = 31370.62

--------------------------------------------------------------------------

Work Shown for Part (b)

A = P*(1+r/n)^(n*t)
50000 = P*(1+0.06/12)^(12*8)
50000 = P*1.61414271
P = 50000/1.61414271
P = 30976.19540716
P = 30976.20

--------------------------------------------------------------------------

Work Shown for Part (c)

A = P*(1+r/n)^(n*t)
50000 = P*(1+0.06/365)^(365*8)
50000 = P*1.61601065
P = 50000/1.61601065
P = 30940.39015151
P = 30940.39