Rhonda bought a new laptop for $600

Question

. The laptop depreciates, or loses, 10%
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 $blank.

Answer 1

To find the value of Rhonda's laptop after two years, we can use the formula:

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

Where:

• \( P = 600 \) (the original value)
• \( r = 0.10 \) (the rate of depreciation written as a decimal)
• \( t = 2 \) (the number of years)

Now, we substitute the values into the formula:

\[ A = 600(1 - 0.10)^2 \]

Calculating \( (1 - 0.10) \):

\[ 1 - 0.10 = 0.90 \]

Now raising it to the power of 2:

\[ 0.90^2 = 0.81 \]

Now we multiply by the original value:

\[ A = 600 \times 0.81 = 486 \]

So the value of the laptop in two years will be:

\[ A = 486 \]

Thus, in two years, the laptop will be worth $486.