Courtney L.

asked • 08/08/18

Exponential Functions

A 529 Plan is a college-savings plan that allows relatives to invest money to pay for a child's future college tuition; the account grows tax-free. Lily wants to set up a 529 account for her new granddaughter and wants the account to grow to $41,000 over 17 years. She believes the account will earn 2% compounded monthly. To the nearest dollar, how much will Lily need to invest in the account now?

          A(t)=P(1+r/n)nt

1 Expert Answer

By:

Lauren H. answered • 08/08/18

Tutor
4.8 (24)

Experienced High School Chemistry Teacher

Courtney L.

i got 41 that doesn’t make sense 
Report

08/08/18

Lauren H.

41,000 = P(1 + .02/12)^12(17)
 
.02/12 = .0017
 
1 + .02/12 = 1.0017
 
41,000 = P(1.00i7)^12(17)
 
12 x 17 = 204
 
41000 = P(1.0017)^204
 
1.0017^204 = 1.414117347
 
41000 = P(1.414117347)
 
41,000/1.414117347 = P
 
P = 28,993.35
Report

08/09/18

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