Compare the balance after 25 years of a $10,000 investment earning 6.75% interest compounded continuously to the same investment compounded semiannually.
\[10,000\times e^{.0675\times 25}\] vs \[10,000\times (1+\frac{.0675}{2})^{50}\] then a calulator
So, the answer would be 52574.61826?
i don't know i didn't do it. but you have to compare the two answers
The first equation gave me 5232.481438 The second equation gave me 52574.61826
hmm then something is wrong because first one should be larger than second one
first one http://www.wolframalpha.com/input/?i=10%2C000e^%28.0675*25%29 second one http://www.wolframalpha.com/input/?i=10000%281%2B.0675%2F2%29^50
I don't know what to do now? Are those the answers?
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