painting is purchased for $250. If the value of the painting doubles every 5 years, then its value is given by the function V(t) = 250 • 2t/5, where t is the number of years since it was purchased and V(t) is its value (in dollars) at that time. What is the value of the painting ten years after its purchase?
You mean you can't insert 10 for t and calculate?
no
To find the value of the painting ten years after its purchase, we substitute t = 10 into the given formula V(t) = 250 • 2^(t/5).
So, we have V(10) = 250 • 2^(10/5).
First, simplify the exponent: 10/5 = 2.
Substituting this into the formula, we get V(10) = 250 • 2^2.
Now, calculate 2^2 = 4.
So, V(10) = 250 • 4 = 1000.
Therefore, the value of the painting ten years after its purchase is $1000.