Answer:
8 years
Step-by-step explanation:
hello,
after x years the population will be
[tex]42,000(1+11\%)^x = 42,000(1.11)^x[/tex]
and we are searching x so that this is equal to 94,000
so it comes
[tex]ln(42,000)+xln(1.11)=ln(94,000)\\x = \dfrac{ln(94,000)-ln(42,000)}{ln(1.11)}=7.719...\\[/tex]
So we need 8 years to reach 94,000
hope this helps
