Rewrite in simplest radical form! Show your work.
2 answers:
First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.
Now that the fraction in the denominator is taken care of, we can reduce the denominator.
. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.
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The table can be filled in as follows:
After 3 days, Kim's savings already exceeds Ben's, and is increasing at a faster rate. The appropriate descriptor is ...
... Kim will save more than Ben
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An exponential function increases faster than any polynomial function. (A linear function is a polynomial function.)
If Kim keeps up her savings for 28 days, her account balance will exceed the US Gross National Product of more than $20 trilliion. (Exponential functions tend to increase very rapidly!) Meanwhile, Ben's savings will be $89 on day 28.
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Please note the discrepancy in the problem statement. The verbiage says "days", but the table shows "years".