A) Commission made last week is $ 288
B) Commissions earned in a year,treating a year as having exactly 52 weeks is $ 14976
<em><u>Solution:</u></em>
From given,
Commission rate = 4 %
Last week,she sold $7,200 worth of stocks
<em><u>A. ) How much commission did she make last week?</u></em>
Therefore,
Thus commission made last week is $ 288
B)
Given that,
If she were to average that same commission each week
To find the commissions earned in a year, treating a year as having exactly 52 weeks
Therefore,
Thus commissions earned in a year,treating a year as having exactly 52 weeks is $ 14976
Answer:
The answer is below
Step-by-step explanation:
The volume of the cylinder with radius (r) and height (h) is given as:
Volume = πr²h
17 = πr²h
h = 17 / πr²
Let k represent the cost of the side and 2k the cost of the bottom.
The area of the side = 2πrh, hence the cost of the side = k(2πrh)
The area of the top and bottom = 2πr², hence the cost of the top and bottom = 2k(2πr²)
The total cost (T) = cost of side + cost of the top and bottom
T = k(2πrh) + 2k(2πr²)
T = 2kπ(rh + 2r²)
Put h = 17/πr²
T = 2kπ (r×17/πr² + 2r²)
T = 2kπ(17/πr + 2r²)
The minimal cost is at dT/dr = 0
![\frac{dT}{dr} =0=\frac{d}{dr} [2k\pi(\frac{17}{\pi r} +2r^2)]\\\\4r-\frac{17}{\pi r^2} =0\\\\4r=\frac{17}{\pi r^2}\\\\r^3=\frac{17}{4\pi }=1.35\\\\r=\sqrt[3]{1.35}\\\\r=1.1\ m\\\\h=\frac{17}{\pi r^2} =\frac{17}{\pi (1.1)^2} \\\\h=4.42\ m](https://tex.z-dn.net/?f=%5Cfrac%7BdT%7D%7Bdr%7D%20%3D0%3D%5Cfrac%7Bd%7D%7Bdr%7D%20%5B2k%5Cpi%28%5Cfrac%7B17%7D%7B%5Cpi%20r%7D%20%2B2r%5E2%29%5D%5C%5C%5C%5C4r-%5Cfrac%7B17%7D%7B%5Cpi%20r%5E2%7D%20%3D0%5C%5C%5C%5C4r%3D%5Cfrac%7B17%7D%7B%5Cpi%20r%5E2%7D%5C%5C%5C%5Cr%5E3%3D%5Cfrac%7B17%7D%7B4%5Cpi%20%7D%3D1.35%5C%5C%5C%5Cr%3D%5Csqrt%5B3%5D%7B1.35%7D%5C%5C%5C%5Cr%3D1.1%5C%20m%5C%5C%5C%5Ch%3D%5Cfrac%7B17%7D%7B%5Cpi%20r%5E2%7D%20%20%3D%5Cfrac%7B17%7D%7B%5Cpi%20%281.1%29%5E2%7D%20%5C%5C%5C%5Ch%3D4.42%5C%20m)
6,3,2,1 there is your answer bud have a great day
Answer:
$43.20
Step-by-step explanation:
He had $294 at first then he spent $24.20 on a plate of pasta, $5.05 on a slushie and gave $59.45 to his sister
so the money left is
294 - 24.20 - 5.05 - 59.45 = 205.3 this is twice of what his sister has so the sister has 102.65
102.65 - 59.45 = 43.20 is the money ahe had at first
Answer:
Same-side interior angles
Step-by-step explanation:
