SOLUTION: maurice eftink owns a lawn design business. his lawnmower cost $7,800 and should last for six years. how much must he set aside each year at 6% annual interest to have enough to bu

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Question 1138988: maurice eftink owns a lawn design business. his lawnmower cost $7,800 and should last for six years. how much must he set aside each year at 6% annual interest to have enough to buy a new mower?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+I+=+P%2Ar%2At+
+I+%2B+P+=+7800+
+7800+-+P+=+P%2Ar%2At+
+P%2A%28+1+%2B+r%2At+%29+=+7800+
+P%2A%28+1+%2B+.06%2A6+%29+=+7800+
+P%2A1.36+=+7800+
+P+=+7800+%2F+1.36+
+P+=+5735.29+
+5735.29%2F6+=+955.88+
$955.88/yr
check the math
get a 2nd opinion if needed

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!
maurice eftink owns a lawn design business. his lawnmower cost $7,800 and should last for six years. how much must he set aside each year at 6% annual interest to have enough to buy a new mower?
The answer is NOT $955.88 per year. 
The correct answer is derived after calculating the annual payment of the Future Value of an ORDINARY ANNUITY of $7,800.
The formula is: PMT+=+FV%5Boa%5D%2F%28%281+%2B+i%2Fm%29%5E%28mt%29+-+1+%2A+%28m%2Fi%29%29, where:
FV%5Boa%5D is the future value (FV) of an ORDINARY ANNUITY in the amount of time (years), or the amount that will be available then ($7,800, in this case)
PMT is the payment amount (UNKNOWN, in this case)
i is the interest rate, per year (6%, or .06, in this case)
m is the number of compounding periods per year (1, in this case)
t is the amount of time the money is invested (6, in this case)
Do the calculations and you should get payment or