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Mathematics 18 Online
EndersWorld:

Modeling exponentials

EndersWorld:

An investment of $75,000 increases at a rate of 12.5% annually. Write the function that models the scenario, and then find the value of the investment after 30 years.

EndersWorld:

I can’t quite remember the formula...

Angle:

formula-compound-interest.png

EndersWorld:

A=75,00p(1+12.5/30)\[^{30}\]

EndersWorld:

That exponent of 30 needs to be beside the formula XD

Angle:

kinda I think we need to write the percent as a decimal that is, 12.5 percent = 0.125

EndersWorld:

Gotcha. So .125/30

Angle:

well "n" in the picture = number of times repeated in a year not the number of years so n = 1

EndersWorld:

\[75,000(1+.125)^\[{30}\]

EndersWorld:

\[75,000(1+.125)^{30}\]

Angle:

good good ^_^ I think this question has two parts the first part is to leave (t) where the 30 is for the time being then the second part is to plug in 30

Angle:

but you've got the idea :)

EndersWorld:

Do I just plug that into a calculator :0

Angle:

yeah, pretty much it's too ugly to do by hand :P

EndersWorld:

Far to ugly, especially with that \[^{30}\]

Angle:

haha yeah

EndersWorld:

Did you plug it in?

EndersWorld:

I wanna see if we got the same. I got 2,568,247.88

Angle:

yup! that's what I got too

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