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Mathematics 13 Online
OpenStudy (anonymous):

Another calc question, want help not answers guys!!!!!

OpenStudy (anonymous):

OpenStudy (anonymous):

for continuous compounding, use \[\large P(t)=P_0e^{rt}\]

OpenStudy (anonymous):

same kind of problem?

OpenStudy (anonymous):

\(P_0\) is what you start with, the "principle" which in this case is \(3000\)

OpenStudy (anonymous):

sort of but not exactly because you are told the rate is \(6\%=.06\)

OpenStudy (anonymous):

use the formula above put \(P_0=3000,r=.06,t=20\) and a calculator to get the answer

OpenStudy (anonymous):

ok hold on

OpenStudy (anonymous):

this problem is very artificial, because no one compounds interest continuously monthly is more the norm, and the formula is different continuous growth is for stuff that happens in nature

OpenStudy (anonymous):

be careful when you put it in the calculator, it is easy to make a mistake use parentheses judiciously

OpenStudy (anonymous):

l\[P(t)=Poe^(rt)--->(3,000)e^(.06*20)=9960.35\]

OpenStudy (anonymous):

?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

well its an answer choice so... awsome , great! thnxs, can u help me with the second one plz?

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

OpenStudy (anonymous):

#7

OpenStudy (anonymous):

it is the same as the first one, except that you know what you have at the end, not at the beginning

OpenStudy (anonymous):

so do u work backwards?

OpenStudy (anonymous):

the ending balance is suppose to be \[20,000\] but the equation does not change, it is \[P_0e^{rt}\] in this case \(r=.05,t=20\)

OpenStudy (anonymous):

set \[P_0e^{.05\times 20}=20,000\] and solve for \(P_0\)

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

\[e^{.05\times 20}=e^1=e\]

OpenStudy (anonymous):

P_0=20,000/e?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

nice hold on!

OpenStudy (anonymous):

i am holding ...

OpenStudy (anonymous):

7357.5?

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

that is what i get too http://www.wolframalpha.com/input/?i=20000%2Fe

OpenStudy (anonymous):

fan me so I can message u!

OpenStudy (anonymous):

k

OpenStudy (anonymous):

message came and went rather quickly

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