Question

is the answer 9 im lost can you help me

Answer 1

Solution

Population of the town = 3000

Rate = 4%

Amount = 4700

$A=P(1+r)^n$$\begin{gathered} 4700=3000(1+4\text{ \%\rparen}^n \\ \frac{4700}{3000}=1+0.04)^n \\ 1.567=1.04^n \end{gathered}$

Find log of both side

$\begin{gathered} 1.567=1.04^n \\ ln1.567=ln1.04^n \\ nln1.04=1.567 \\ n=\frac{ln1.567}{ln1.04} \\ n=11.5yrs \end{gathered}$

Therefore the number of years it will take population to reach 4700 = 11.5yrs