Question

in Covina, California, the population is 42,000. The population increases 11% every year. Determine how long it will take to reach 94,00

Answer 1

Answer:

8 years

Step-by-step explanation:

hello,

after x years the population will be

$42,000(1+11\%)^x = 42,000(1.11)^x$

and we are searching x so that this is equal to 94,000

so it comes

$ln(42,000)+xln(1.11)=ln(94,000)\\x = \dfrac{ln(94,000)-ln(42,000)}{ln(1.11)}=7.719...$

So we need 8 years to reach 94,000

hope this helps