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I need help solving these problems or providing a formula for each would help.?
1. The Flores Family loves to go sailing on the weekends. Mr. Flores has decided to purchase a more spacious sailboat. The sailboat he is interested in buying in 2 years will cost him $20,000. An account at Invest Well Bank earns 6% per year compounded monthly. How much should Mr. Flores deposit in this account at the beginning of each month to be able to pay cash for the sailboat in 2 years?
a) $935.16
b) $747.06
c) $845.78
d) $816.41
e) $786.41
f) None of the above.
2. A school realizes that they need a new copy machine for their main office. The copy machine costs $5,500. After speaking with the financial advisor, they decide to pay 10% of the cost of the machine in cash and finance the rest through their credit union. How much is their monthly payment if the credit union will charge 4% per year compounded monthly for 2 years?
a) $234.95
b) $202.12
c) $18.58
d) $38.58
e) $214.95
f) None of the above.
3. Your brother would like to have $24,000 in 3 years for the purchase of a new car. What monthly payment should he make into an account paying 8% per year compounded monthly to attain his goal?
a) $572.07
b) $622.07
c) $552.07
d) $592.07
e) $582.07
f) None of the above.
4. You borrowed $13,000 from your bank to build a small cabin on your property. The bank will charge 8% per year compounded quarterly. You decide to payoff this loan in 3 years by making quarterly payments. How much are your quarterly payments?
a) $1,269.27
b) $1,249.27
c) $1,239.27
d) $1,219.27
e) $1,229.27
f) None of the above.
Thanks.
2 Answers
- Davis PLv 78 years agoFavorite Answer
1.
PV = present value
FV = future value (maturity value)
Yrs = number of years
APR = annual percentage rate
P/Y = number payment per year
Pmt = payment. use:
- if you are paying into an account (like repaying a loan or savings account),
+ if the account is paying you
i = interest rate in percent per period = APR / (P/Y)
N = number of periods = Yrs * (P/Y)
PV = $.00
FV = $20,000.00
Yrs = 2
APR = 0.06
P/Y = 12
i = 0.06 / (12) = 0.005
N = 2 * 12 = 24
K = (1 + i)^N = 1.12715977620539
Pmt = (PV * K - FV ) /((K-1)/i)
Pmt = -$786.41
2.
5500 - 10%of 5500 = 4950
PV = $4,950.00
FV = $.00
Yrs = 2
APR = 0.04
P/Y = 12
i = 0.04 / (12) = 3.33333333333333E-03
N = 2 * 12 = 24
K = (1 + i)^N = 1.08314295915907
Pmt = (PV * K - FV ) /((K-1)/i)
Pmt = $214.95
3.
PV = $.00
FV = $24,000.00
Yrs = 3
APR = 0.08
P/Y = 12
i = 0.08 / (12) = 6.66666666666667E-03
N = 3 * 12 = 36
K = (1 + i)^N = 1.27023705162065
Pmt = (PV * K - FV ) /((K-1)/i)
Pmt = -$592.07
4.
PV = $13,000.00
FV = $.00
Yrs = 3
APR = 0.08
P/Y = 4
i = 0.08 / (4) = 0.02
N = 3 * 4 = 12
K = (1 + i)^N = 1.26824179456255
Pmt = (PV * K - FV ) /((K-1)/i)
Pmt = $1,229.27
3.
- Anonymous5 years ago
1. 147.41 2. C 3. B 9. e 14. 500.71