T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
Answer:
<h2>it will take 30 minutes</h2>
Step-by-step explanation:
obtain a formula
<h3>=> M = $0.10($p)+$25</h3>
<u>insert the value of p dollars</u>
<h3>=> M = $0.10(50) + 25</h3>
<u>multiply 50 by 0.10</u>
<h3>=> M = $5 + 25</h3>
<em> </em><u>add 25 + 5</u>
<h3><em><u>=></u></em> M = $30</h3>
<u>So it takes 30 minutes for international minutes</u> <em><u>Thank </u></em><em><u>You</u></em>
^_^
ANSWER
EXPLANATION
The given expression is
We regroup the numerical parts to get;
Now let us simplify the negative numbers.
We now subtract 19 from 42 to get;
We can't simplify further
Hence the simplest form is:
Answer: 1 inch
Volume of the cylinder = πr²h
Volume of the cone = 1/3πr²h
If the radius are the same for both the cone and the cylinder, then the liquid will reach 1/3 of its height in the cylinder compared to the cone.
Height = 1/3 x 3 inches
Height = 1 inch
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Answer: The height of the cylinder will be 1 inch.
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By my, calculations this means that there is an estimated number of restaurants that receive a Hawaiian pizza order from their menu and that is 7.5. So out of 100 restaurants, there are 7.5 Hawaiian pizza orders.
