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<span>(t) = 0 gives
</span><span>-24t + 60 = 0
</span><span>t = 2.5
</span><span>For this t, the second derivative s"(t) = -24 is negative. And so, s(t) is maximum for t = 2.5.
</span><span>Maximum height is S = -12(2.5)^2 + 60(2.5) +8 = 233ft</span>
Answer:
y = 2m-5
Kim's age now is y = 2m-5
Step-by-step explanation:
Let m represent martas age now and y represent Kim's age now
Given;
Five years ago Kim's age was twice as great as martas age.
(y-5) = 2(m-5)
Solving for y;
y-5 = 2m-10
y = 2m-10+5
y = 2m-5
Kim's age now is y = 2m-5
The gross profit margin is calculated using the following rule:
gross profit margin = total profit / total sales
Now, we need to get the values of total profit and total sale:
total profit = <span>9*8-(40+8)=24$
total sales = 9*8 = 72$
Now, we will substitute in the above equation:
gross profit margin = 24/72 = 1/3 = 0.3333334
% = 0.33333334*100 = 33.3334%</span>
logc(x^2-1) - (logc^5+logc^x) is the right answer.