Question

Please help give me an answer?
A country's population in 1993 was 72 million. In 1996 it was 76 million. Estimate the population in 2003 using exponential growth.

Answer 1

easy way or hard way?

Answer 2

Easy :P

Answer 3

lets do the easy way first

Answer 4

put 1993 as year 0
1996 as year 3 and 2003 as year 10

Answer 5

the just calculate
\[72\times (\frac{76}{72})^{\frac{10}{3}}\] and you will have your answer

Answer 6

we can redo this the hard way if you like

Answer 7

Hang on

Answer 8

ok i will check the answer

Answer 9

i can also explain why this simple method works if you like

Answer 10

I'm not getting an answer from that equation...

Answer 11

Sure, I just really need help so I can have a quick answer...

Answer 12

86

Answer 13

just type it in a calculator

Answer 14

i did, I have a messed up calculator though and it gave me errors.. Would you mind helping me on another too..?

Answer 15

you have to be careful with parentheses

Answer 16

sure ask away

Answer 17

A country's population in 1994 was 195 million. In 2002 it was 199 million. Estimate the population in 2016 using exponential growth.

Answer 18

ok we go right to the answer

Answer 19

1994 is 0
2002 is 8
2016 is 22

Answer 20

we compute
\[195\times (\frac{199}{195})^{\frac{22}{8}}\]

Answer 21

The exponent is 22 over what...? I can't read it.

Answer 22

8

Answer 23

answer is 206

Answer 24

is it clear where i am getting these numbers from?

Answer 25

Kind of, yes, I just wish my calculator wasn't messed up.

Answer 26

you have to be careful with the calculator but since you are already on line just use this
http://www.wolframalpha.com/input/?i=195%28199%2F195%29^%2822%2F8%29

Answer 27

I have one last one if you could help me? it's easier than those, but I would just like to make sure. :)

Answer 28

knock yourself out

Answer 29

A culture strand started with 6000. After 4 hours, it grew to 6,600 bacteria. Predict how many bacteria will be present after 10 hours.

Answer 30

yes this is easier. we don't need to adjust for the year.

Answer 31

also
\[\frac{6600}{6000}=1.1\] so put
\[6000\times(1.1)^{\frac{10}{4}}\]

Answer 32

ready for an explanation or is the answer enough?

Answer 33

Hang on I will try that equation.

Answer 34

type it in to wolframalfpha just as i did the last one. very user friendly

Answer 35

7614?

Answer 36

It was a decimal but I rounded it to a whole number. Is that correct?

Answer 37

yup

Answer 38

:D Awesome, thank you so much!

Answer 39

this is not how your math teacher wants you to do it, believe me. but it is the easiest way

Answer 40

Well.. I do not have any math teachers. long story.

Answer 41

let me know if you want either an explanation or the math teacher method

Answer 42

on line? home school?

Answer 43

I have to take and finish a whole years worth of alg 2 and some pre-calc in 3 weeks. I never took any of these classes, but I can't get my scholarship sent to my college without a completion grade. :(

Answer 44

keep coming here then

Answer 45

Thanks :)