Answer:
$32
Step-by-step explanation:
To find the commission, multiply the rate by the sales:
commission = 5% × $640 = $32
He made $32 in commission.
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<em>Additional comment</em>
Many calculators and all spreadsheets can work with percentages directly. If yours can't, or if you can't do this arithmetic mentally, you can use the equivalent decimal or fraction for 5%.
5% = 5/100 = 0.05 = 1/20
Then 5% × $640 = $640/20 = $64/2 = $32.
Let, the amount of sales = x
Then, commission from sale will be: x * 0.02
So, Equation would be: 500 + 0.02x
Hope this helps!
Answer:
![f(d(x)) = \frac{9}{5}|x^{100}| + 32](https://tex.z-dn.net/?f=f%28d%28x%29%29%20%3D%20%5Cfrac%7B9%7D%7B5%7D%7Cx%5E%7B100%7D%7C%20%2B%2032)
Step-by-step explanation:
The function d(x) takes a value of x in degrees centigrade and provides the number of degrees that a container of water at that temperature x is far from the boiling point of water.
The function f(d) takes a value d in degrees centigrade and returns a value d(x) in degrees fahrenheit.
Therefore, by doing f(d(x)) we are introducing the function d(x) within the function f(d).
So the range of d(x) now is the domain of f(d(x))
This means that the function f(d(x)) shows the <em>number of degrees Fahrenheit</em> that a water container at a<em> temperature x in degrees Celsius</em> is far from the boiling point of water.
![f(d(x)) = \frac{9}{5}|x^{100}| + 32](https://tex.z-dn.net/?f=f%28d%28x%29%29%20%3D%20%5Cfrac%7B9%7D%7B5%7D%7Cx%5E%7B100%7D%7C%20%2B%2032)
The total weight of Mason is 177
<em><u>Solution:</u></em>
Given that, Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day
Mr.Mason drinks 118 ounces each day
Let "x" be the total weight of Mr.Mason
Therefore, we can say,
Two third of body weight = Amount of gatorade drank in ounces per day
Two third of x = 118
![\frac{2}{3} \text{ of } = 118\\\\\frac{2}{3} \times x = 118\\\\2x = 118 \times 3\\\\2x = 354\\\\x = \frac{354}{2}\\\\x = 177](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%5Ctext%7B%20of%20%7D%20%3D%20118%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7D%20%5Ctimes%20x%20%3D%20118%5C%5C%5C%5C2x%20%3D%20118%20%5Ctimes%203%5C%5C%5C%5C2x%20%3D%20354%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B354%7D%7B2%7D%5C%5C%5C%5Cx%20%3D%20177)
Thus total weight of Mason is 177
Dy/dx = (ycos(x))/(1 + y²)
(1 + y²)/y dy = cos(x) dx
(1/y + y) dy = cos(x) dx
Integrating:
ln(y) + y²/2 = sin(x) + c
ln(1) + 1/2 = sin(0) + c
c = 1/2
Thus,
ln(y) + y²/2 = sin(x) + 1/2