Question

The population of a city is 83,945 and grows continuously at a rate of 1.3% each year. What is the approximate population of the city in 21 years? 110,295 105,626 110,279 106,862

Answer 1

thanks:)

Answer 2

i have a bunch of questions like this one can you tell me the formula for it

Answer 3

"Pert" is the formula P stands for principles. E stands for e. R stands for rate. and T stands for time.

Answer 4

The population of a town is 68,172 and declines continuously at a rate of 3.6% each year. What is the approximate population of the town in 14 years?

112,847

33,813

40,802

41,183


I also have these questions

Answer 5

when it says "continuous" it wants you to use the Pert Formula.

Answer 6

the principle is 68172
rate is .036
and time is 14

Answer 7

rate is -.036

Answer 8

So i know i have to subtract and I know I have to multiply and I think the problem is supposed to go something like this 68172*0.036 ...but now i am not sure what to do with the 14

Answer 9

this is how i did it, correct me if I'm wrong @CGGURUMANJUNATH

68172e^(-.036*14) = your answer

Answer 10

@CGGURUMANJUNATH you aren't doing these problems correctly!

Answer 11

im confused who is doing it right

Answer 12

i am.

Answer 13

do you have a TI-89 calc?

Answer 14

@annasjuice is — these are exponential growth/decay, so you need an exponential (or repeated multiplication) to compute them.

Answer 15

no, I dont have that kind of calculator. I just have the EL-501W

Answer 16

the "Pert" formula isn't multiplication, it's P*e^(-rt) where e is the base of the natural logarithm, approximately 2.71828

That first problem, with the 1.3% growth each year. It's 1.3% of the population at the beginning of the year, so the amount added in the 2nd year is larger than that added in the first, and the amount added in the 3rd year is larger than that added in the second, and so forth. It's just like compound interest.

Answer 17

so I use that formula? y'all have lost me but I think im finding yall

Answer 18

i'm no sure how you can do it without the TI-89 calc. you can download these calc online. and yes, it is the P*e^(rt) formula. but since your problem says, "declines continuously at a rate of 3.6%" it would be like P*e^(-rt).

so,

68172e^(-.036*14) = final answer

Answer 19

do you get it? knowing that formula is important

Answer 20

it helps

Answer 21

ok so i have the formula, So can u show me how to work it

Answer 22

68172e^(-.036*14)
^
multiply this
68172e^(-.504)

since you don't have a calculator...

base e= 2.71828

68172*(2.71828)^(-.504) <-- put this in the calculator and you'll get your answer