Given:
A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.
Pilot's speed in still air is 315 miles per hour.
To find:
The speed of the wind.
Solution:
Let the speed of wind be x miles per hour.
Speed with wind = 315+x miles per hour
Speed against wind = 315-x miles per hour
We know that,

According to the question,

Divide both sides by 90.

By cross multiplication, we get




Divide both sides by 9.


Therefore, the speed of wind is 35 miles per hour.
The population of Ohio will be 10 million in the year 1970
The population growth of Ohio is represented by the function:

P is the population in millions
t is the number of years since 1900
To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

t = 70 years (to the nearest whole number)
70 years after 1900 will be 1970
Therefore, the population of Ohio will be 10 million in the year 1970
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To solve this problem, you must find a common denominator. First, you multiply the denominators together, then, multiply the numerator of the first fraction by the original denominator of the second fraction and vis-versa.
<span>3*4 = denominator of both
</span><span>2*4 = numerator of first fraction
</span><span>3*3 = numerator of second fraction
</span>
Your fractions should end up being 8/12 cups of raisins and 9/12 cup of almonds. You can now compare these fractions.
<span>Overall, there are 1/12 more almonds than raisins.</span>
The total amount of money Ethan made in a week including commission is $812.5
<h3>Total income</h3>
- Total sales for the week = $1250
- Base salary = $500
- Percentage commission = 25%
Amount of commission earned = 25% of $1250
= 25/100 × $1,250
= 0.25 × 1250
= $312.5
Total earnings = Base salary + Amount of commission earned
= $500 + $312.5
= $812.5
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Make/Model:
Ford E-Series Wagon Van
<span>MSRP: </span>
$28,760
<span>Cost of options: </span>
$5,560
<span>Sales tax: </span>
$2230.80 (this is based on 6.5% interest)
<span>Total cost: </span>
$36550.80
<span>10% down payment: </span>
$3655.08
<span>Amount needed to borrow: </span>
$32895.72
<span>Monthly payment: </span>
$665.62
<span>Total interest paid: </span>
$4,665.51
Total payments:
<span>60 payments of total $39,937.03</span>