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Mathematics 21 Online
OpenStudy (anonymous):

Help pls!

OpenStudy (anonymous):

OpenStudy (chrisplusian):

\[A=pe^{rt}\]

OpenStudy (chrisplusian):

Is that formula familiar?

OpenStudy (anonymous):

so 1679.09=. I dont know where to put the rest

OpenStudy (chrisplusian):

r=rate, t=time{in years}, p=principle, "e" is just a number in the calculator and the "A" is the amount you end up with when you calculate it all.

OpenStudy (chrisplusian):

Your rate is 4% which translates to: .04. Then your principle is: $1679.09, and your time is: 2(2 years).

OpenStudy (anonymous):

oh okay what ?=1679.09^4(2)?

OpenStudy (chrisplusian):

\[1679.09\times e^{.04\times2}\]

OpenStudy (chrisplusian):

make sense?

OpenStudy (anonymous):

whats e?

OpenStudy (jdoe0001):

$$\large{ Balance = Principal \times e^{\color{blue}{rate \times years}}\\ \cfrac{Balance }{e^{\color{blue}{rate \times years}}}= Principal } $$

OpenStudy (chrisplusian):

I am asuming you are allowed to use at least a scientific calculator?

OpenStudy (anonymous):

yes

OpenStudy (chrisplusian):

And I am sorry you are right I just read your question again they are looking for the principle investment so your formula is correct mine is wrong. They are essentially the same just the $1679.09 is the "A" in my formula.

OpenStudy (chrisplusian):

so....

OpenStudy (anonymous):

1679.09= e^4(2)?

OpenStudy (chrisplusian):

\[1679.0=p \times e^{.04\times2}\]

OpenStudy (anonymous):

okay so how do i fine P and e

OpenStudy (chrisplusian):

\[\frac{ 1679.09 }{ e^{.04 \times 2 }}=p\]

OpenStudy (jdoe0001):

e is the "euler constant", so that's a FIXED value, and a long one, it'd be in your calculator :)

OpenStudy (chrisplusian):

Now do you have your calculator in front of you?

OpenStudy (anonymous):

okay yes

OpenStudy (anonymous):

i found an e on the calculator

OpenStudy (chrisplusian):

There is a button on there somewhere that says "e" it may not be directly on a key, it may be above it meaning that you have to push shift first do you see it

OpenStudy (chrisplusian):

Ok then all you have to do is put all that into your calculatorr and it sill give you an answer round as it indicates and you should be good to go. "e" is just a number, something like pi that we use a symbol to represent.

OpenStudy (anonymous):

but the number is 0.58? that doesnt make sence

OpenStudy (chrisplusian):

I got 1550 as a result. double check it with your calculator

OpenStudy (anonymous):

so 1550x4% =62 which 1612

OpenStudy (chrisplusian):

why did you do that?

OpenStudy (chrisplusian):

if \[A=pe^{rt}\]

OpenStudy (chrisplusian):

Then if you decide that p=1550, you must plug that back into the formula with all the other info you have to check , so try using the 1550 with e^.08 and see what you get?

OpenStudy (anonymous):

okay let me try that

OpenStudy (anonymous):

A is 1679.09= 1550^4(2)?

OpenStudy (chrisplusian):

no the rate is a percent.

OpenStudy (chrisplusian):

t use a percent in this case you have to turn it into a decimal.

OpenStudy (chrisplusian):

4%=.04

OpenStudy (anonymous):

0.04

OpenStudy (anonymous):

okay

OpenStudy (chrisplusian):

did that work out?

OpenStudy (anonymous):

well i put in my calculator 1550^.04(2)=1.799

OpenStudy (chrisplusian):

1550xe^.04(2)=1679.09 you forgot to raise "e" to the power

OpenStudy (anonymous):

nvrm i forgot the e

OpenStudy (anonymous):

yeah thanks

OpenStudy (chrisplusian):

your welcome

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