The <em>speed</em> intervals such that the mileage of the vehicle described is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h]
<h3>How to determine the range of speed associate to desired gas mileages</h3>In this question we have a <em>quadratic</em> function of the <em>gas</em> mileage (g), in miles per gallon, in terms of the <em>vehicle</em> speed (v), in miles per hour. Based on the information given in the statement we must solve for v the following <em>quadratic</em> function:
g = 10 + 0.7 · v - 0.01 · v² (1)
An effective approach consists in using a <em>graphing</em> tool, in which a <em>horizontal</em> line (g = 20) is applied on the <em>maximum desired</em> mileage such that we can determine the <em>speed</em> intervals. The <em>speed</em> intervals such that the mileage of the vehicle is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h].
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<u>Answer-</u>
<em>The amount will be </em><em>$8944.62</em><em> after 5 years.</em>
<u>Solution-</u>
We know that,
Where,
P = Payment = $50 monthly
r = rate of interest compounded monthly=
n = number of period = 5 years = 5×12 = 60 months
Putting the values in the formula,
Therefore, the amount will be $8944.62 after 5 years.
The birth weight of elephants at the 85th percentile is 262.16 pounds
<h3>What is the standard deviation?</h3>Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
Given that:-
The average birth weight of elephants is 200 pounds = 200
The deviation of 60 pounds. = 60
The birth weight of elephants at the 85th percentile. z = 85%= 1.036
Now from the formula of z-score:-
Hence the birth weight of elephants at the 85th percentile is 262.16 pounds
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