jklukow61 jklukow61
  • 11-02-2022
  • Mathematics
contestada

A boat costs $92,000.00 and depreciates in value by 15% per year. How much will the boat be worth after 10 years?

Respuesta :

semsee45
semsee45 semsee45
  • 11-02-2022

Answer:

$18,112.45 (nearest cent)

Step-by-step explanation:

Let y = value of the boat

Let x = the number of years

If the boat depreciates in value by 15% each year, then each year that goes by, it is worth 85% of the previous year's value (since 100 - 15 = 85)

85% = 85/100 = 0.85

Therefore, the equation is:  [tex]y = 92000 \times 0.85^x[/tex]

So, when x = 10:

[tex]\implies y = 92000 \times 0.85^{10}=18112.45[/tex]

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