tammiahwallace2 tammiahwallace2
  • 09-06-2021
  • Mathematics
contestada

an investment has been losing money at a rate of 4% per year. the value of the investment now is $75,000. what will be the value of the investment im 10 years?

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 13-06-2021

Answer:

Step-by-step explanation:

Use the equation

[tex]A(t)=P(1-r)^t[/tex] because the account is depreciating at a rate of 4%. Filling in:

[tex]A(t)=75000(1-.04)^t[/tex] to get our model.

[tex]A(t)=75000(.96)^t[/tex] Now we fill in 10 for t and solve:

[tex]A(t)=75000(.96)^{10}[/tex] so

A(t) = $49,862.45 in ten years

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