SOLUTION: A company will need $75,000 in 8 years for a new addition. To meet this goal, the company deposits money in an account today that pays 5% annual interest compounded quarterly. Fi

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Question 609164: A company will need $75,000 in 8 years for a new addition. To meet this goal, the company deposits money in an account today that pays 5% annual interest compounded quarterly. Find the amount that should be invested to total $75,000 in 8 years
Found 2 solutions by ewatrrr, MathTherapy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
5% annual interest compounded quarterly.
In General A+=+P%281%2Br%2Fn%29%5Ent
A = Accumulated Amount = 75,000
P= principal = P
r= annual rate = .05
n= periods per year = 4
t= years = 8
A%2F%281%2Br%2Fn%29%5Ent+=P+
75000%2F%281%2B.05%2F4%29%5E32=P+
75000%2F%281.125%29%5E32=P+= $1730.54

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!
A company will need $75,000 in 8 years for a new addition. To meet this goal, the company deposits money in an account today that pays 5% annual interest compounded quarterly. Find the amount that should be invested to total $75,000 in 8 years

P = A%2F%281+%2B+i%2Fm%29%5E%28mt%29, where P = present value; A = future value ($75,000); i or interest (5%, or .05), m = compounding periods per year (4); and t (term, in years) = 8

P = 75000%2F%281+%2B+.05%2F4%29%5E%284%2A8%29

P = 75000%2F%281+%2B+0.0125%29%5E32

P = 75000%2F%281.0125%29%5E32

P = 75000%2F1.488130509

P, or present value, or amount to de deposited today to total $75,000 in 8 years = $highlight_green%2850398.81%29

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