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
The answer in itself is 1/128 and here is the procedure to prove it:
cos(A)*cos(60+A)*cos(60-A) = cos(A)*(cos²60 - sin²A)
<span>= cos(A)*{(1/4) - 1 + cos²A} = cos(A)*(cos²A - 3/4) </span>
<span>= (1/4){4cos^3(A) - 3cos(A)} = (1/4)*cos(3A) </span>
Now we group applying what we see above
<span>cos(12)*cos(48)*cos(72) = </span>
<span>=cos(12)*cos(60-12)*cos(60+12) = (1/4)cos(36) </span>
<span>Similarly, cos(24)*cos(36)*cos(84) = (1/4)cos(72) </span>
<span>Now the given expression is: </span>
<span>= (1/4)cos(36)*(1/4)*cos(72)*cos(60) = </span>
<span>= (1/16)*(1/2)*{(√5 + 1)/4}*{(√5 - 1)/4} [cos(60) = 1/2; </span>
<span>cos(36) = (√5 + 1)/4 and cos(72) = cos(90-18) = </span>
<span>= sin(18) = (√5 - 1)/4] </span>
<span>And we seimplify it and it goes: (1/512)*(5-1) = 1/128</span>
Answer:
perimeter = 48 in
Explanation:
The perimeter of the shape is the sum of its side lengths.
We are given that the shape is a regular octagon. This means that it has eight equal sides.
Therefore:
perimeter of regular octagon = 8 * side length
Since the side length is given = 6 in, therefore:
perimeter = 8 * 6 = 48 in
Hope this helps :)
Is 40 the correct answer is c
