Acertain quantity grows exponentially over time. the initial quantity at t = 0 is 100. the quantity grows by a factor of 2.5%. what is the quantity at t = 5?

quantity after 5 years will be 113.14

Step-by-step explanation:

A certain quantity grows exponentially over time.

and the function will represent the growth will be

where a = 100

and growth factor is 2.5%

So the common factor by which the growth will be = 1 + 0.025 = 1.025

After   t = 5 years

f(5) = 100 (1.025)⁵

     = 100 (1.1314)

      = 113.14

Therefore, quantity after 5 years will be 113.14.

1 1/5

step-by-step explanation: