brad started a company that develops an app to help people learn foreign languages. currently, the app has…

brad started a company that develops an app to help people learn foreign languages. currently, the app has 42,000 active users. brad recently told investors that he expects the number of active users to increase by 2.5% each month. write an equation for n(t), the number of active users brad expects to have in t months. write your answer in the form n(t) = a(b)^t, where a and b are integers or decimals. do not round. n(t) =

brad started a company that develops an app to help people learn foreign languages. currently, the app has 42,000 active users. brad recently told investors that he expects the number of active users to increase by 2.5% each month. write an equation for n(t), the number of active users brad expects to have in t months. write your answer in the form n(t) = a(b)^t, where a and b are integers or decimals. do not round. n(t) =

Answer

Answer:

$N(t)=42000(1.025)^{t}$

Explanation:

Step1: Identify the initial value

The initial number of active users $a = 42000$.

Step2: Determine the growth - factor

The growth rate is $2.5%=0.025$. The growth factor $b=1 + 0.025=1.025$.

Step3: Write the exponential function

Using the form $N(t)=a(b)^{t}$, we substitute $a = 42000$ and $b = 1.025$ to get $N(t)=42000(1.025)^{t}$.