Answer:
C. m(h) = 5.25h; $11.81
Step-by-step explanation:
Answer: Crystal will earn $11.81.
Step-by-step explanation:
Since we have given that
Cost per hour mowing lawns = $5.25
Let the number of hours be 'h'.
Let the amount of money be 'm'
So, According to question, we get
Here h = 2 hours and 15 minutes
So,
So, Crystal will earn if she works for 2 hours and 15 minutes will be
Hence, Crystal will earn $11.81.
Answer:
x = 15 cm
Step-by-step explanation:
Use Pythagorean thm:
9² + 12² = x²
81 + 144 = x²
225 = x²
√225 = √x²
15 = x
Hope this helped :)
Answer: at least, 2931 board feet
Step-by-step explanation:
Let x represent the number of board-feet of lumber yards that is produced and sold in a day
The lumber yard has fixed costs of $3810.30 per day and variable costs of $0.91 per board-foot produced. It means that the cost of producing x board-feet of lumber yards is
0.91x + 3810.3
Lumber sells for $2.21 per board-foot. It meas that the revenue from selling x board feet of lumber yard is 2.21x.
Profit = Revenue - total cost
In order to make profit, Revenue must be greater than total cost. Therefore,
2.21x ≥ 0.91x + 3810.3
2.21x - 0.91x ≥ 3810.3
1.3x ≥ 3810.3
x ≥ 3810.3/1.3
x ≥ 2931
The number of board-feet of lumber yard that must be sold to make profit is at least 2931
Answer:
The most likely solution sought is 13:
Beginning with 3: subtract 9, add 18, subtract 8, add 16, subtract 7, add 14, etc. Each time, reduce the number subtracted by one, and double that number to add.
So, beginning with 3: 3-9 = -6, -6+2(9) = 12, 12-8 = 4, 4+2(8) = 20, 20-7 = 13, etc.
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Step-by-step explanation:
Answer:
B. x ≈ 13/8
Step-by-step explanation:
We assume that one iteration consists of determining the midpoint of the interval known to contain the root.
The graph shows the functions intersect between x=1 and x=2, hence our first guess is x = 3/2.
Evaluation of the difference between the left side expression and the right side expression for x = 3/2 shows that difference to be negative, so we can narrow the interval to (3/2, 2). Our 2nd guess is the midpoint of this interval, so is x = 7/4.
Evaluation of the difference between the left side expression and the right side expression for x = 3/4 shows that difference to be positive, so we can narrow the interval to (3/2, 7/4). Our 3rd guess is the midpoint of this interval, so is x = 13/8.
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The sign of the difference at this value of x is still negative, so the next guess would be 27/16. It is a little hard to tell what the question means by "3 iterations." Evaluating the function for x=13/8 will be the third evaluation, so the determination that x=27/16 will be the next guess might be considered to be the result of the 3rd iteration.
