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Mathematics 9 Online
OpenStudy (anonymous):

CALCULUS HELP NEEDED Problem posted in screenshot

OpenStudy (anonymous):

OpenStudy (anonymous):

I have no idea sorry

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

no prob sweetie!

OpenStudy (aum):

\[ f(t) = Q_0a^t \\ f(6) = Q_0a^6 = 470.5 ~~~ \text{----- (1) }\\ f(8) = Q_0a^8 = 1698.4 ~~ \text{----- (2) }\\ \] Divide (2) / (1). What do you get?

OpenStudy (anonymous):

0.277

OpenStudy (anonymous):

so you round to the one decimal place, 0.3, so thats the answer?

OpenStudy (aum):

If you divide (2) by (1) you get: \[\large \frac{Q_0a^8}{Q_0a^6}= \frac{1698.4}{470.5} = 3.61\\ \large a^2 = 3.61 \\ \large a = \sqrt{3.61} = 1.9\]

OpenStudy (aum):

\[a = 1 + r = 1.9 \\ r = 1.9 - 1.0 = 0.9\] Growth rate = .9 x 100 = 90%

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