Answer:
Example Response: The diagram ought to consist of five columns; one for each 25% segment and an additional one for the total, since 25% represents 1
4
of 100%. There should be 2 rows, one designated for percentages and another for dollar figures.
Step-by-step explanation:
Edg2020
1,107 cc
The scanning consists of 10 intervals:
[0,1.5), [1.5,3), [3,4.5), [4.5,6), [6,7.5), [7.5,9), [9,10.5), [10.5,12), [12,13.5), [13.5,15)
To estimate the volume using the Midpoint Rule, n should be set to 10.
Given that we will use n=5, we will split the range [0,15] into five intervals of lengths 3 each:
[0,3], [3,6], [6,9], [9,12], [12,15] and calculate their midpoints:
1.5, 4.5, 7.5, 10.5, and 13.5.
Next, we will determine the volume V from the five cylinders, where each has a height h=3 and the base area A corresponds to the calculated midpoints' intervals:
Cylinder 1
Midpoint=1.5, corresponding to the 2nd interval
A = 18, V= height * area of the base = 18*3 = 54 cc
Cylinder 2
Midpoint=4.5, corresponding to the 4th interval
A = 78, V= height * area of the base = 78*3 = 234 cc
Cylinder 3
Midpoint=7.5, corresponding to the 6th interval
A = 106, V= height * area of the base = 106*3 = 318 cc
Cylinder 4
Midpoint=10.5, corresponding to the 8th interval
A = 129, V= height * area of the base = 129*3 = 387 cc
Cylinder 5
Midpoint=13.5, corresponding to the 10th interval
A = 38, V= height * area of the base = 38*3 = 114 cc
Thus, the estimated volume is
54 + 234 + 318 + 387 + 114 = 1,107
Response: the equations are
0.02x + 0.07y = 156
y = 300 + x
Step-by-step explanation:
Let x denote the dollar amount from phone sales made by Josiah.
Let y indicate the dollar amount from his computer sales.
Josiah receives a 2% commission on his phone sales total and 7% on his computer sales. He accumulated a total of $156 in commission, leading to the equation
0.02x + 0.07y = 156 - - - - - - - - - - -1
Furthermore, it’s given that Josiah had $300 more in computer sales than in phone sales, expressed as
y = 300 + x
