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1CollegeMathematics 5 pointsRhonda bought a new laptop for $800. The laptop depreciates, or loses, 20% of its value each year. The value of the laptop at a later time can be found using the formula A=P(1−r)t AP 1 r t , where P is the original value, r is the rate of depreciation written as a decimal, and t is the number of years since it was purchased. What will the laptop be worth in two years?

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lublana

Given that Value of laptop P= $800

Rate of depreciation r=20%= 0.20

We have to find value of laptop after two years so time t=2

Now plug those values into formula:

[tex] A=P(1-r)^t [/tex]

[tex] A=800(1-0.20)^2 [/tex]

[tex] A=800(0.80)^2 [/tex]

[tex] A=800(0.64) [/tex]

[tex] A=512 [/tex]

Hence the final answer is $512.

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