Let x represent the shorter sides, then 2x + 1 would represent the longer sides. There are four short sides and two long sides. The perimeter is 162 cm. The equation: 4x + 2(2x + 1) = 162 4x + 8x + 2 = 162 8x + 2 = 162 Subtract 2 from both sides. 8x = 160 Divide both sides by 8. x = 20 The shorter sides are 20 cm in length. The longer sides are 2x + 1, or 41 cm in length. Check: 4 * 20 + 2 * 41 = 162 80 + 82 = 162 162 = 162, values check.
Answer:
perpendicular slope= 1/4
Step-by-step explanation:
you have to make the equation equal to y so that would be -4x+3=y
and then you just find the negative reciprocal of the slope -4 which would be 1/4
Using a linear function, it is found that Company D would have given you the best deal for 7 hours of moving.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we consider:
- The flat fee as the y-intercept.
- The hourly rate as the slope.
Hence the costs for x hours of moving from each company are given as follows:
For 7 hours, the costs are given as follows:
- A(7) = 50 + 25 x 7 = $225.
- B(7) = 40 + 30 x 7 = $250.
- C(7) = 60 + 20 x 7 = $200.
- D(7) = 150 + 5 x 7 = $185.
Due to the lower cost, Company D would have given you the best deal for 7 hours of moving.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
a) $300 in interest
b) $1800 account total
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 1500(.04)(5)
I = 300
A = P + I
1800 = 1500 + 300
