Question

A quantity with an initial value of 270 grows exponentially at a rate of 0.1% every 10 decades. What is the value of the quantity after 23 years, to the nearest hundredth

Answer 1

270.06

How to solve:

Write a function:

f(t)=270(1+0.001)^{t/10}

23 years→23/10→2.3 decades

Plug in t=2.3

f(2.3)=270(1+0.001)^{2.3/10}

=270.062076106

≈270.06