Question

A quantity with an initial value of 510 grows exponentially at a rate of 7% every 2 decades. What is the value of the quantity after 5 decades, to the nearest hundredth?

Answer 1

603.99

Explanation:

I took one for the team. Here’s the explanation.

Growing by 7% > r = 0.07

Grows every two decades: exponent of t/2

Function: f(t)=510(1+0.07)t/2(write t/2 as an exponent)

Plug in t=5

f(5) = 510(1+0.07)5/2(exponent)

=603.989822062483
rounded to 603.99