Compound Interest

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Compound Interest

by eclaym2003 » Fri Apr 10, 2009 8:57 am
So I am pretty comfortable with compound interest problems but I am having problems when I put the rate into the formula. (for example: 8 percent) I dont know whether to put the rate in as 0.08 or just 8. I would assume 0.08, but I ran into two problems. One puting the rate in as 0.08 and one putting the rate in as just 8. Here they are:

1.) If money is invested at r percent interest, compounded anually, the amount of the investement will double in approximately 70/r years. If Pat's parents invested $5,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
(Here they plug just 8 in for r... 70/8 = 8.75 and so forth until they solve the problem. The compound interest formula isnt needed here... is that why 8 percent is not plugged in as 0.08?)

2,) Now here is a straight-forward compound interest problem...
Leona bought a 1-year, $10,000 certificate of deposit that paid interest at an annual rate of 8 percent compounded semi-annually. What was the total amount of interest paid on this certificate at maturity? (here I just plug everything in and when I plug in 8 percent into the formua I will only get the right answer if I plug it in as 0.08)

Yeah, I know this seems really long but this has been bugging me for a while and I was hoping that someone had an explanation for this. Any help would be greatly appreciated... thanks!!!
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by milqman » Fri Apr 10, 2009 10:07 am
In that example, you can see that the words they use around the variable tell the story.

In the first one they say that R is the "percent interest" so if R is 8, the percent interest is 8% (they built the 100x multiplier into the formula).

In the second one, they talk about it generically as an interest rate (without using the word percent). If you wanted to talk about it without using the concept of "percent or %", you could, it would be .08. If you wanted to use a fraction, you could, it would be 2/25.

Does that make sense? Use whatever the language of the problem suggests.

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by eclaym2003 » Fri Apr 10, 2009 4:10 pm
Thanks ... that definitely helps. I am going to keep an eye out for that in the future. I am definitely getting more comfortable with these types of questions. I keep all of the ones that I miss or just spend a lot time on in a spiral with detailed explanations. That was just one that I couldn't figure out.

... Thanks again!!!