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Mathematics 21 Online
OpenStudy (destinyyyy):

Help.. Compounded quarterly and continuously

OpenStudy (destinyyyy):

OpenStudy (anonymous):

um..............

OpenStudy (loginusernamed):

Quatrly means every 1/4th of a year the rate goes up?

OpenStudy (destinyyyy):

@Nnesha

OpenStudy (destinyyyy):

I have no clue I usually just go with compound daily and always get it right..

OpenStudy (destinyyyy):

A= P(1 +r/n)^nt A=Pe^rt

OpenStudy (destinyyyy):

@freckles

OpenStudy (freckles):

n is the number of compounds per year since it is being compounded quarterly that means the year has been divided up into 4 compoundings so use n=4 for the quarterly one

OpenStudy (freckles):

for continuous use the last formula you mentioned

OpenStudy (destinyyyy):

Ummm okay

OpenStudy (freckles):

please let me know if you need anymore help

OpenStudy (freckles):

ummm okay sounds like maybe but I'm not sure

OpenStudy (destinyyyy):

I got 31394164.39

OpenStudy (freckles):

for which one?

OpenStudy (destinyyyy):

A= P(1 +r/n)^nt

OpenStudy (destinyyyy):

I have no clue what im doing on this one. Its my last question.

OpenStudy (freckles):

did you replace n with 4?

OpenStudy (freckles):

and r with the rate ?

OpenStudy (freckles):

and t with 2?

OpenStudy (freckles):

P with 11000 was also given

OpenStudy (destinyyyy):

Oh gosh I replaced r with 4 -.-

OpenStudy (destinyyyy):

Now I got 39966.45405

OpenStudy (freckles):

no n is the number of compoundings per year quarterly means the year was divided up into 4 compoundings so n=4

OpenStudy (freckles):

that still seems a bit big

OpenStudy (destinyyyy):

What? O.o

OpenStudy (freckles):

\[n=4 \\ r=.07 \\ P=11000 \\ t=2\] all you do is plug in the formula and evaluate \[P=11000(1+\frac{.07}{4})^{2 \cdot 4}\]

OpenStudy (destinyyyy):

Yup thats what I did

OpenStudy (freckles):

I don't understand how you are entering it into the calculator then

OpenStudy (freckles):

you should be getting a number in the 12 thousands

OpenStudy (freckles):

in the 12000 to 13000 dollar range

OpenStudy (freckles):

can you show me what you enter should be something like this 11000*(1+.07/4)^(2*4)

OpenStudy (destinyyyy):

I dont know. I guessed quarterly and got it right. I got 100% on my test.

OpenStudy (destinyyyy):

Ill try reentering it into my calc.

OpenStudy (freckles):

don't you want to learn to plug in the calculator though so you can get the right answer?

OpenStudy (freckles):

oh ok

OpenStudy (destinyyyy):

Yes thats why I havent closed the question. I only had 30 seconds left so I took a guess. I do what to learn how to solve this one.

OpenStudy (destinyyyy):

.This time I got 12637.69961 I think I might of mistyped numbers of something into my calculator.

OpenStudy (freckles):

also if you can find me a bank for me that let's me put in 11000 and I get like 30 something thousand back in 2 years sign me up :p

OpenStudy (freckles):

that's right for the quarterly one

OpenStudy (freckles):

maybe you were in a hurry because you were being timed

OpenStudy (freckles):

\[A=Pe^{rt} \text{ for the continuous one } \\ A=11000 \cdot e^{.0686 \cdot 2}\]

OpenStudy (destinyyyy):

Near the last 4 minutes yes. I had 20 minutes just to work on this problem but no one was helping.

OpenStudy (destinyyyy):

I got 43375.522

OpenStudy (freckles):

you must be mistyping something again

OpenStudy (freckles):

11000*e^(.0686*2) make sure you have parenthesis around the exponent

OpenStudy (destinyyyy):

Oops I did

OpenStudy (freckles):

oh i see what you did you drop the 0 between the decimal and the 6

OpenStudy (freckles):

I wonder if that is what you did earlier

OpenStudy (freckles):

drop the 0 between the decimal and the 7

OpenStudy (destinyyyy):

12617.63291

OpenStudy (freckles):

yep that is exactly what you are doing

OpenStudy (freckles):

yeah 7 percent is .07 not .7

OpenStudy (freckles):

or 6.86 percent is .0686 not .686

OpenStudy (freckles):

\[A_q=12637.70 \\ A_c=12617.63\] the quarterly one is approximately 20 dollars more

OpenStudy (destinyyyy):

My 0 and . are right next to each other so I click the wrong one all the time its annoying.

OpenStudy (destinyyyy):

Okay thank you!

OpenStudy (freckles):

i guess you will have to look up at the calculator screen to see what it registered next time...then hit backspace it anything needs to be fixed you know when it comes to hitting 0 and decimal maybe not every button I don't know I might check or whatever

OpenStudy (freckles):

but anyways good guess

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