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The percent of the original price, the new price is given as 86.9%
<u>Solution:</u>
Given, In August, Ralph bought a new set of golf clubs that cost $565.
The cost of the clubs was marked up to $650 in October.
We have to find which proportion can be used to find what percent of the original price the new price is, if p represents the unknown percent?
The formula is normally partial/whole equals to percentage/100. In this case $565 is partial because the price increased.
So it will be,
Whenever you get results like these, you just need to round to the nearest hundredths place, which is 86.9%.
Hence, the percentage is 86.9%
By def. of the derivative, we have for y = ln(x),
Substitute y = h/x, so that as h approaches 0, so does y. We then rewrite the limit as
Recall that the constant e is defined by the limit,
Then in our limit, we end up with
In Mathematica, use
D[Log[x], x]