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Mathematics 17 Online
OpenStudy (anonymous):

6x^2 + 12x + 5 = 0

OpenStudy (anonymous):

wolf iv solved this but can you help me with something else

OpenStudy (wolf1728):

well okay

OpenStudy (anonymous):

ok can i just post it here or do i need to submit a new one

OpenStudy (wolf1728):

put it right here

OpenStudy (anonymous):

Use the compound interest formulas A = Pe^rt and A = P to solve. Suppose that you have $11,000 to invest. Which investment yields the greater return over 10 years: 6.25% compounded continuously or 6.3% compounded semiannually? Show your work.

OpenStudy (wolf1728):

A good calculator is located here: http://www.1728.org/compint.htm but I suppose you need it worked out too.

OpenStudy (anonymous):

yes please plus i want to understand how to do something like this my self i just dont have a teacher

OpenStudy (wolf1728):

GEEZ I was trying to atach a graphic and got knocked out of the topic. I'll try again This should be the continuously compounded interest formula.

OpenStudy (anonymous):

ok

OpenStudy (wolf1728):

Total = principal * 2.718281828 ^ (rate * years) 11,000 for 10 years @6.25% continually compounded Total = 11,000 * 2.718281828 ^ (.0625 * 10) Total = 11,000 * 2.718281828 ^ (.625) Total = 11,000 * 1.8682459574 Total = 20,550.71 (I checked this with calculator here: http://www.1728.org/compint.htm

OpenStudy (anonymous):

so thats the answer?

OpenStudy (wolf1728):

Other problem Total = principal * (1 + rate/n)^years*n where n = 2 because it is semi-annual Total = 11,000 * (1+ (.063/2))^10*2 Total = 11,000 * (1.0315)^20 Total = 11,000 * 1.8594506053 Total = 20,453.96 (Rechecked with calculator)

OpenStudy (wolf1728):

The first 1 is for the continuously compounded interest The second 1 is for semi-annual

OpenStudy (anonymous):

out of curiosity where did you get the plug in for e

OpenStudy (wolf1728):

In other words what is "e"?

OpenStudy (anonymous):

yes

OpenStudy (wolf1728):

"e" is the base of natural logarithms and (like PI) can be carried out to millions of digits You'll probably never need more than 2.718281828459

OpenStudy (wolf1728):

Here's what Wikipedia has to say about "e" http://en.wikipedia.org/wiki/E_(mathematical_constant)

OpenStudy (anonymous):

ok so how come for the second problem you didnt use that set of numbers

OpenStudy (wolf1728):

Because the first formula I used is ONLY for continuously compounded interest problems. The second formula I used is for semi-annual, quarterly, monthly, daily compounding

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

thank you

OpenStudy (wolf1728):

Yeah, this compounded interest math gets complicated. In just another day I'll be posting ANOTHER page to my website about compound interest.

OpenStudy (anonymous):

ok

OpenStudy (wolf1728):

u r welcome quick 24

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