Help w/ 5**sqrt(3) 5**sqrt(27), finding investment amounts

Violagirl

Junior Member
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Mar 9, 2008
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1. Simplify the expression using the same base.

5**sqrt(3) 5**sqrt(27)


The answer I got was 5**4sqrt(3) Is that right?

2. $10,000 is invested in each of two accounts, both paying 6% annual interest. The first account, interest compounds quarterly, and the second account, interest compounds daily. Find the difference between the accounts after 21 years.

I got the first part but for the second part when setting up the formula, A=P(1+r/k)^kt, what number would you want to use as k for when it says the interest compounds daily?

So far, I know it'd be set up as A=10,000(1+.06/k)^k(21). What would k be?
 
Re: Help with two problems

Not sure what "5**sqrt(3) 5**sqrt(27)" means... possibly...
\(\displaystyle 5^{\sqrt{3}}\cdot 5^{\sqrt{27}}\)

If so, you are correct.

As for the second problem, MOST people use 360, but some may still use 365. I guess it depends on your text book.
 
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