Answer:
The number of months it will take for Kaylee to make as much as Donna is 23 months
Step-by-step explanation:
Here we have amount Donna makes = $9.75/hour
Amount Kaylee makes = $4/hour with $0.25 monthly raise
Therefore, number of months, Y before Kaylee makes as much s Donna is given by the following expression;
4 + Y × 0.25 = 9.75
0.25·Y = 9.75 - 4 = 5.75
That means in 23 months, Kaylee will make as much as Donna per hour.
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
