Respuesta :

Hrishii

Answer:

$25,600

Step-by-step explanation:

  • Given: P = $50,000, r = 20% & t = 3 years

  • Formula for depreciation is given as:

  • [tex]A(t) = P\bigg(1-\frac{r}{100}\bigg)^t[/tex]

  • Plugging the values of P, r and t in the above formula, we find:

  • [tex]A(3) = 50,000\bigg(1-\frac{20}{100}\bigg)^3[/tex]

  • [tex]\implies A(3) = 50,000\bigg(1-\frac{1}{5}\bigg)^3[/tex]

  • [tex]\implies A(3) = 50,000\bigg(\frac{4}{5}\bigg)^3[/tex]

  • [tex]\implies A(3) = 50,000\times\frac{64}{125}[/tex]

  • [tex]\implies A(3) =\$ 25,600[/tex]

  • So, after third year it will be worth by $25,600.

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