Question

Can someone please help? :) Thank you!


A city has a population of 350,000 people. Suppose that each year the population grows by
8.5%. What will the population be after 9 years?
Round your answer to the nearest whole number.

Answer 1

Use the formula
\[\large\rm Population = Initial * (1+rate)^{Years} \]

Answer 2

Okay :) Thank you! This might sound silly.. but what would i put where it says "Initial" ?
It would be 350,000 = ? * (1 + 8.5%) ^9
Right ?

Answer 3

Initial will have 350000

Answer 4

And population is the answer that you will calculateUse the formula
\[\large\rm Population~after~years = Initial~ Population* (1+rate)^{Years}\]

Answer 5

Oh, so you would plug it all in and it would equal your answer. So it would look like 350,000 * (1 + 8.5%)^9 which would equal the answer i need. Right?

Answer 6

yes

Answer 7

Not quite. The population's initial value is 350,000
So it would be
P = 350,000 * (1+rate)^years

P is your end result after 9 years. Before the 9 years begins, you have 350,000 people.

Rate is the decimal equivalent of your increase percentage. Since you have 8.5%, you divide that by 100, to get .085

So you'd have P = 350,000 * (1.085)^9 (for 9 years)

This is the classic Pert calculation (used to be called Bert) which is a formula for compound increases. You can use this for bank accounts, population values, cell colony growth, and so much more!

Answer 8

thats right is compound interest so you have to mjultiply the mmout at the begginning of each year by .085 ant then add that tho the ammout this becoumes the ammout to multiply for the next year by .085

Answer 9

Sorry my reply was a little late XD you got that exactly right while I was typing, but there's some more info on the equation itself! :D

Answer 10

you can lookup compound interest on khan academy and see if you get what to do it realy helps

Answer 11

Wait ... okay i got a little confused just now lol so is the equation right or no ?

Answer 12

It is right

Answer 13

Okay thank you ! You all helped very much. (: I am just super slow lol

Answer 14

No problem

Answer 15

Have a beautiful day !

Answer 16

You too!

Answer 17

Thank you :)