Answer:
150 miles
Step-by-step explanation:
let m represent miles
$70 + .70m = $40 + .90m
subtract 40 from each side
$30 + .70m = .90m
subtract .70m from each side
$30 = .20m
divide both sides by .20
150 = m
Using translation concepts, we have that:
- The new profit equation is f(x) = (8s/3) - 20, which is a vertical stretch by a factor of 2 of the graph of f(s).
- Selling 300 shirts, the new profit is of $780.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the profit function is given by:
f(s) = 4/3s - 20
To double the function, we multiply the slope by 2, hence the new profit equation is:
f(s) = 8/3s - 20.
This new function is a vertical stretch by a factor of 2 of the graph of f(s).
The new profit selling 300 shirts is given by:
f(300) = (8/3) x 300 - 20 = 8 x 100 - 20 = $780.
More can be learned about translation concepts at brainly.com/question/28373831
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Answer:
36 in
Step-by-step explanation:
T= toucan
M= macaw
T= 2/3M
T= 24
24= 2/3M
72=2M
36= M
Answer:
√(2 + √3)/4
Step-by-step explanation:
Sine 5π/12 = Sine (5π/6)/2
Recall
π = 180°
Thus,
Sine (5π/6)/2 = Sine (5×180 /6)/2
= Sine 150/2
Recall
Sine θ/2 = √(1 – Cos θ)/2
Thus,
Sine 150/2 = √(1 – Cos 150)/2
But, Cosine is negative in the 2nd quadrant. Thus,
Cos 150 = – Cos 30 = –√3/2
Thus,
√(1 – Cos 150)/2 = √(1 – –√3/2 )/2
= √(1 + √3/2 )/2
= √[(2 + √3)/2 ÷ 2]
= √[(2 + √3)/2 × 1/2]
= √(2 + √3)/4
Therefore,
Sine 5π/12 = √(2 + √3)/4
Answer:The 28% rule
The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%. For example, if you make $10,000 every month, multiply $10,000 by 0.28 to get $2,800. Using these figures, your monthly mortgage payment should be no more than $2,800.
Step-by-step explanation:
