Question

How do I find N?

Answer 1

\[16.13=12(1.03)^{n}\]

Answer 2

16.13=12(1.03)n
16.13=12*1.03n
Then u divide: 12.36 from both sides.
16.13/12.36 = n
1.305 = n


Im not sure, but I think is like that.
Hope it helps...

Answer 3

Thanks.

Answer 4

\(\bf 16.13=12(1.03)^n\implies \cfrac{16.13}{12}=1.03^n\\ \quad \\
\textit{log cancellation rule of }\quad \color{blue}{log_aa^x=x}\qquad thus\\ \quad \\
\cfrac{16.13}{12}=1.03^n\implies log_{1.03}\left(\cfrac{16.13}{12}\right)=log_{1.03}(1.03^n)\\ \quad \\\implies log_{1.03}\left(\cfrac{16.13}{12}\right) = n\)

Answer 5

0.0

Answer 6

well... do you know the log rules? and the change of base rule?

Answer 7

you'd split the rational in 2 log sets, and then apply the change of base rule to each, to use either log base10 or natural log, ln

Answer 8

No, I do not know the LOG Rules. I know the Properties of Exponenents...I am only in ninth grade...

Answer 9

So the asnwe is 5.16?

Answer 10

@jdoe0001

Answer 11

hmmm.

Answer 12

well... makes me wonder why you're given....this exercise, maybe you weren't supposed to use logarithms.

Answer 13

Oh hold on this is the original thingie:


A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days.

f(n) = 12(1.03)n

Part A: When the scientist concluded his study, the height of the plant was approximately 16.13 cm. What is a reasonable domain to plot the growth function? (4 points)

Answer 14

@jdoe0001

Answer 15

hmmm then "n" is not an exponent, just a variable... so @lauluisa was correct

Answer 16

The n is an exponent.

Answer 17

It is just that copying and pasting does not show it.

Answer 18

... ok... well... since you haven't cover logarithms... yet... what you can do is graph it

Answer 19

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIxMigxLjAzKV54IiwiY29sb3IiOiIjRTM0ODI5In0seyJ0eXBlIjoxMDAwLCJ3aW5kb3ciOlsiLTMyLjc1NDQxNTI4MzIwMzA3IiwiMjkuMjM0NDE1MjgzMjAzMDg4IiwiLTcuNDEzNDg2MzI4MTI0OTQ1IiwiMzAuNzMzNDg2MzI4MTI0OTk3Il19XQ--

Answer 20

so go over the y-axis up to 16.13 more or less, and see what "x" or domain, is at that point

Answer 21

you can zoom in/out by using the mouse middle-button btw

Answer 22

So it's about ten days...

Answer 23

yeap

Answer 24

Thanks.

Answer 25

yw