# Could someone look this over please?

• Apr 16th 2009, 08:14 AM
ChrisEffinSmith
Could someone look this over please?
Hi everyone, this is a bonus homework assignment that we only get credit for if we get it 100% correct. It's not a quiz, and we were specifically told we were allowed to seek help. I think I've got it all correct, but I have a tendency to overlook simple things or make stupid mistakes (writing the answer in another question's spot, etc...). I'd hate to not get any credit because of something like that, so I'd really appreciate if someone could look this over and point out any mistakes. Thanks in advance!
• Apr 16th 2009, 08:36 AM
Twig
$\displaystyle f(x) = e^{x} \, \mbox{ then } f(x+c) = e^{x} \cdot e^{c}$

$\displaystyle f(3+2) \neq f(3)+2$
• Apr 16th 2009, 08:40 AM
ChrisEffinSmith
Quote:

Originally Posted by Twig
$\displaystyle f(x) = e^{x} \, \mbox{ then } f(x+c) = e^{x} \cdot e^{c}$

$\displaystyle f(3+2) \neq f(3)+2$

Oh geez! Thanks! For some reason I read the question as:

$\displaystyle f(x) = e^{x} \, \mbox{ then } f(x)+c = e^{x}+c$

See what I mean about stupid mistakes? Hopefully that's the only one I made. Thanks!
• Apr 16th 2009, 08:49 AM
Twig

$\displaystyle Q = 5000 \cdot 1.05^{t}$ , where t is time.
• Apr 16th 2009, 08:59 AM
ChrisEffinSmith
Quote:

Originally Posted by Twig

$\displaystyle Q = 5000 \cdot 1.05^{t}$ , where t is time.

Pretty sure, only because I have this in my notes:

"$\displaystyle f(t) = 5e^{.2{t}}$ where 5 is the initial amount, .2 is the % of continuous growth (20%) over t (time)"

and the question asks: "Does $\displaystyle Q=5000e^{.06{t}}$ represent \$5000 continuously compounded at 6%?"

Please let me know if I'm misinterpreting. Thanks!
• Apr 16th 2009, 09:06 AM
Twig
Alright =)

I just became a little suspicious, not exactly sure what "compound" means in swedish either ;) .

The functions lie pretty aligned when graphing them, but the "e-function" running away around t = 150.