May someone please help me solve this math problem?

2016-06-24 11:15 am
更新1:

Payments of $16,000 made annually for 10 years at 10% compounded annually

回答 (5)

2016-06-24 11:19 am
Amount, A
= P × (1 + R%)ⁿ
= $16,000 × (1 + 10%)¹⁰
= $41499.88 (to 2 decimal places)

Interest
= A - P
= $(41,499.88 - 16,000)
= $25,499.88
2016-06-24 3:56 pm
41500 accumulation in 10 years
17600 accumulation in 1 year
59100 /2 = 29550 avg.accumulation
295500 total accumulation in 10 years.
2016-06-24 3:49 pm
S=16,000[1 - 1.10^10]/(1 - 1.10)= $254,998.79
2016-06-24 2:32 pm
if you are looking for the future value of an annuity, where $16,000 is deposited once a year for 10 years at 10% interest compounded annually.

FV = PMT[(1 + r/n)^(nt) - 1] / (r/n)

FV = 16000[(1 + .1/1)^(1 * 10) - 1] / (.1 / 1)
FV = 16000(1.1^10 - 1) / .1
FV = 254998.793616
FV = $254,998.79

If you are looking for a loan amount where the payment is $16,000 per year for 10 years compounded at 10% annually

16000 = Pv(r/n) / [1 - (1 + r/n)^(-nt)]
16000 = Pv(.1 / 1) / [1 - (1 + .1/1)^(-1 * 10)]
16000 = Pv[.1 / (1 - 1.1^-10)]
16000 / [.1 / (1 - 1.1^-10)] = Pv
98313.073691274920421695416883383 = Pv
$98,313.07 is the original loan amount
2016-06-24 12:12 pm
Principal amount 16000
Interest rate 10 percent per year = 0.1
Number of times compounded per year 1
Number of years 10
Amount after 10 years = 16000 ( 1 +0.1 / 1)^(10)
= 16000(1.1)^(10)
Amount after 10 years = $ 41499.88 <------
Interest earned in 10 years = $ 25499.88


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