jarrettbuckel19 jarrettbuckel19
  • 25-01-2018
  • Mathematics
contestada

A boat costs $15,750 and decreases in value by 5% per year how much will it be worth after 14 years?

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AadanV
AadanV AadanV
  • 25-01-2018
5%x14=70%
15,750x.70= 11,025
15,750-11,025= 4,725
Answer Link
Riia
Riia Riia
  • 18-08-2018

In case of depreciation, we have to use the following formula

[tex] P(t) = P_{0)(1-r)^t [/tex]

P(t) is the price after t years.

r is the rate of depreciation.

t is the number of years.

And P0 is the initial price .

On substituting the given values, we will get

[tex] P(t)= 15750(1-0.05)^{14}
\\
P(t) = 15750(0.95)^{14}
\\
P(t) = $7680.88 [/tex]

Answer Link

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