Question

exponential and logarithmic functions progress the progress of the problem may be uneven because questions can be worth more or less (including zero) depending on your answer rhonda bought a new laptop for $8800. 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

Explanation:

Step1: Substitute the values into the formula

Given \(P = 800\), \(r=0.2\), \(t = 2\). The formula is \(A=P(1 - r)^t\).
Substitute the values: \(A = 800\times(1 - 0.2)^2\).

Step2: Simplify the expression inside the parentheses

\(1-0.2=0.8\). So the formula becomes \(A = 800\times0.8^2\).

Step3: Calculate the exponent

\(0.8^2=0.64\). Then \(A = 800\times0.64\).

Step4: Perform the multiplication

\(800\times0.64 = 512\).

Answer:

\(512\)