In Covina, California, the population is 47,000. The population increases 18% every year. Determine how long it will take to reach 192,000.

8.5 years

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form)  =18/100 = 0.18

t= years

A = population after t years

Replacing with the values given:

192,000 = 47,000 (1+ 0.18)^t

Solving for t:

192,000/47,000 = 1.18^t

4.08 =1.18^t

ln 4.08 = ln 1.18^t

ln 4.08 =t (ln 1.18)

ln 4.08 / ln 1.18  =t

8.5 years = t

Feel free to ask for more if needed or if you did not understand something.

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

add an image, and i will answer

step-by-step explanation: