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A car that has an original value of $52,500 depricates $10000 in the first year and there original cost per year. What is its value after 8 years?
Read Solution (Total 13)
-
- $13100
1st year depreciation amount = 10000
next 7 year's depreciation amount = 7 * 8% original cost price
= 7*8/100 * 52500
=29400
Total depreciation amount = 39400
Value after 8 years = $13100
- 10 years agoHelpfull: Yes(45) No(0)
- After first year , it depreciates 10000
So we have to calculate for 7 years from 1st year
p=52500
n=7
r=8%
p(1 - r/100)^n = 52500(1 - 8/100)^7
52500(92/100)^7 => 52500 [ 23/25 ]^7
=>29286.9
Approximately $29287
So 7 years from 2nd year the cost depreciates to $29287
ALready $10000 had depreciated in the 1st year
So amount after 8 years = $29287 - $10000 => $19287
Ans : $19287
- 10 years agoHelpfull: Yes(38) No(33)
- A car that has an original value of $52,500 depricates $10000 in the first year and there after at the rate of 8% of the original cost per year. What is its value
after 8 years? - 10 years agoHelpfull: Yes(13) No(3)
- A car that has an original value of $52,500 depricates $10000 in the first year and there after at the rate of 8% of the original cost per year. What is its value after 8 years?
Sol:-
value of car after 1 year = 52500-10000 = 42500
8%of(original cost)=(8/100)*52500 = 4160
cost after 8 years(means 7 years afer the 1st year) = 42500-(7*4160)= $13380 - 10 years agoHelpfull: Yes(7) No(9)
- @SARASWATHY How did you get the valueof r =8 ?
please explain.... - 10 years agoHelpfull: Yes(5) No(1)
- Abe Question toh sahi likh!
A car that has an original value of $52,500 depricates $10000 in the first year and there original cost per year. What is its value after 8 years? - 8 years agoHelpfull: Yes(2) No(1)
- depreciation amount after 1st year= $10000
therefore, the value of the car becomes (52500-10000) = $42500 after 1 year
now after 1 year the cost price depreciates @ 8% of the original cost i.e, $ 52500 per year for 7 years .
i.e, the depreciation amount after 7 years is = 7*{(8/100)* 52500}
= 7* 4200
= $ 29400
therefore the value of the car after 8 years = 42500-29400
= $13100
so, the ans is $13100 - 7 years agoHelpfull: Yes(2) No(0)
- by
fv=pv(1+r)^n - 10 years agoHelpfull: Yes(1) No(2)
- pls send ans
- 10 years agoHelpfull: Yes(1) No(1)
- wats the correct solution?
- 10 years agoHelpfull: Yes(1) No(0)
- use p/(1-r/100)^n formula
- 9 years agoHelpfull: Yes(1) No(3)
- Don't know
- 6 years agoHelpfull: Yes(1) No(0)
- original value=52500
after first year:- 52500-10000=42500
now this value will get depriciated for the next 7 years
so,final value:-
as per the formula P'=P(1-r/100)^n
= 42500 * (1-8/100)^7
= 42500 * 0.5578
= $23706.5 - 7 years agoHelpfull: Yes(0) No(2)
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