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ivanzaharov [21]
2 years ago
8

PLEASE HELP!! I’ll appreciate it!

Mathematics
1 answer:
Sergio039 [100]2 years ago
6 0

Answer:

d

Step-by-step explanation:

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Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resor
34kurt

Answer:

a) Equation for Snow Dome Ski Resort:

I_s = 65+t

Equation for Mt. Winterpark Ski Resort:

I_m = 74+\frac{t}{2}

b) After 19 hours, Snow dome will have more snow.

Step-by-step explanation:

Given that:

Initial snow at Snow Dome Ski Resort = 65 inches

Snowing rate at Snow Dome Ski Resort = 1 inch per hour

Initial snow at Mt. Winterpark Ski Resort = 74 inches

Initial snow at Mt. Winterpark Ski Resort = \frac{1}{2} inch per hour

a) To write equations that show amount of snow at each resort.

Let the time in hours be represented by t.

Snow increased in t hours by snowing at Snow Dome Ski Resort = 1\times t = t inches per hour

Snow increased in t hours by snowing at Mt. Winterpark Ski Resort = \frac{1}{2}\times t = \frac{t}{2} inches per hour

Equation for Snow Dome Ski Resort:

I_s = 65+t

Equation for Mt. Winterpark Ski Resort:

I_m = 74+\frac{t}{2}

b) Time at which Snow Dome has more snow.

Using the above equations, we can write the following inequality:

65+t>74+\dfrac{t}{2}\\\Rightarrow t-\dfrac{t}{2}>74-65\\\Rightarrow \dfrac{t}{2}>9\\\Rightarrow t>18\ hours

After 18 hours have passed, they will have equal amount of snow.

After 19 hours, Snow dome will have more snow.

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0.04(30h) is the part of the expression that represents the amount of tax she must pay. This part shows that 0.04 (4%) is the tax rate, 30 is the amount of money needed to pay per hour (h). Taxes are a percentage of the actual price added on to the actual price, so that means that 30h is the actual price, 30 dollars an hour, and 0.04(30h0 are the taxes she has to pay.

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