Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (anonymous):

I have been having major issues trying to figure this out...can someone please try and explain to me? F(20) = 40e ^0.032(20) = ~ 75.9

OpenStudy (asnaseer):

What is it that is confusing you?

OpenStudy (asnaseer):

are you confused as to how the left hand side is equal to the right hand side?\[40e ^{0.032(20)} \approx 75.9\]

OpenStudy (asnaseer):

OK, I saw from your previous posting that you don't understand how the left hand side is equal to the right hand side.

OpenStudy (asnaseer):

Let me try and break it down into steps for you....

OpenStudy (anonymous):

I don't understand how they come up with the answer

OpenStudy (asnaseer):

\[\begin{align} 40e^{0.032(20)}&=40*e^{0.032*20}\\ &=40*e^{0.64}\\ &=40*1.8965...\\ &=75.859...\\ &\approx75.9 \end{align}\]hope that helps...

OpenStudy (anonymous):

so I ignore the f(20)?

OpenStudy (asnaseer):

My guess is that you were given a function of the form:\[f(x)=40e^{0.032x}\]and were asked to evaluate the function at \(x=20\) so that you would then get:\[f(20)=40e^{0.032(20)}\]

OpenStudy (anonymous):

yes, now for e, I would use 2.718?

OpenStudy (asnaseer):

yes you have the correct approximate value for e.

OpenStudy (anonymous):

now when I take 0.64*2.718, I get 1.7344

OpenStudy (anonymous):

I just don't grasp it!

OpenStudy (asnaseer):

you made a mistake there. it is not 2.718*0.64 but \(2.718^{0.64}\)

OpenStudy (anonymous):

ohhhhhhhhhhhhhhhhhh

OpenStudy (asnaseer):

i.e. 2.718 to the power of 0.64

OpenStudy (asnaseer):

don't worry too much if you don't grasp things too quickly. as long as you keep practicing, you will slowly begin to master this subject.

OpenStudy (anonymous):

I still get the wrong answer

OpenStudy (asnaseer):

what do you get?

OpenStudy (anonymous):

I think I got it now

OpenStudy (asnaseer):

:-)

OpenStudy (anonymous):

thank you so much!

OpenStudy (asnaseer):

you are very welcome. I'm glad I could help you.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!