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Mathematics 10 Online
OpenStudy (anonymous):

Can I please get some help for a fan and medal?!?!?!

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

Thank you so much! I have been trying to get some help for a while now. Here is the question: The function f(x) = (1.008735)12x models the monthly interest that a bank offers to Dan after x years. Dan converts the function to have x isolated in the exponent. What is the approximate rate of growth?

OpenStudy (anonymous):

i have no idea sorry.....

OpenStudy (anonymous):

Uhhhh sky?

OpenStudy (idek-ok):

11%

OpenStudy (anonymous):

Can you tell me how you got that answer?

OpenStudy (idek-ok):

Yep. "Ask yourself this question: "I need a function that when I put in a value for x, I get a very certain value of y." In this case, you need a function such that when the specific input value of 'x' - or 1 - is plugged in, you get the certain output 'y' value of 8. You also need a function such that when the specific input value of 'x' - or 4 - is plugged in, you get the certain output 'y' value of 64. Look at A. ( f(x) = 4(2)^x ) When x = 1, then 4(2)^1 = 8! We got a return value of 8, which is 'y'. This is a good thing! Let's try this when x = 4. We should get a 'y' return value of 64. When x = 4, then 4(2)^4 = 4(16) = 64, which is our needed 'y' output! The answer, then, is A. [11%]"

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