rhonda bought a new laptop for $800. the laptop depreciates, or loses, 20% of its value each year. the value…

rhonda 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 $a = p(1 - r)^t$, 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? in two years, the laptop will be worth $_____. the solution is _____.

rhonda 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 $a = p(1 - r)^t$, 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? in two years, the laptop will be worth $_____. the solution is _____.

Answer

Explanation:

Step1: Identify the values of P, r and t

$P = 800$, $r=0.2$, $t = 2$

Step2: Substitute values into the formula

$A=P(1 - r)^t=800\times(1 - 0.2)^2$

Step3: Calculate $(1 - 0.2)^2$

$(1 - 0.2)^2=0.8^2 = 0.64$

Step4: Calculate the value of A

$A=800\times0.64 = 512$

Answer:

512