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2 answers:
Answer:
Option D is correct.
Step-by-step explanation:
Given: Expenditure in January Month = $ 3365
Expenditure in February Month = $ 3988.50
Expenditure in March Month = $ 4010.02
Expenditure in April Month = $ 4765.87
To find: We need to find average Monthly Expenditures.
Average monthly expenditure =
By rounding fot to nearest hundreths, we get
Average Monthly Expenditure = 4030.10
Therefore, Option D is correct.
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Answer:
(x, y) = (-0.6, 0.8) or (1, 4)
Step-by-step explanation:
Use the second equation to substitute for y in the first.
(x -1)² +((2x +2) -2)² = 4
x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses
5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms
Now we can rearrange the middle term to ease factoring by grouping.
(5x² -5x) +(3x -3) = 0
5x(x -1) +3(x -1) = 0
(5x +3)(x -1) = 0
The values of x that make these factors zero are ...
x = -3/5, x = 1
The corresponding values of y are ...
y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5
y = 2(1) +2 = 4 . . . . . . . . for x = 1
The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).
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A graphing calculator verifies these solutions.
Answer with Step-by-step explanation:
A 3 foot wide brick sidewalk is laid around a rectangular swimming pool.
The outside edge of the sidewalk measures 30 feet by 40 feet.
Length of swimming pool=(30-3-3) feet
=24 feet
Breath of swimming pool=(40-3-3) feet
= 34 feet
Perimeter of swimming pool=2(24+34) feet
(since perimeter of rectangle=2(l+b) where l is the length and b is the breath of the rectangle)
Perimeter of swimming pool=116 feet
Hence, Perimeter of swimming pool is:
116 feet
