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djyliett [7]
3 years ago
8

Martha has $20 to spend on a t-shirt. She has a coupon for 20% off. The t-shirt regularly sells for $22.50 plus 10% sales tax.

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

1 and 3

Step-by-step explanation:

Step 1 is clearly elaborated.  Tax is impliedd on the discounted price.

In step 3, the steps of deductions are skipped.

Like 1 + 10% = 110% and 1 - 20% = 80%

Step 2 is simply wrong. Because the percentages are implied on different values.

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Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

t \propto y^{1/2}

t = k\cdot t^{1/2}

Where:

t - Time spent by the stone, measured in seconds.

y - Height change experimented by the stone, measured in meters.

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First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

k = \frac{t}{y^{1/2}}

If t = 4\,s and y=78.4\,m, then:

k = \frac{4\,s}{(78.4\,m)^{1/2}}

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Then, the expression is t = 0.452\cdot y^{1/2}. Finally, if y = 500\,m, then the time is:

t = 0.452\cdot (500\,m)^{1/2}

t \approx 10.107\,s

The stone would take approximately 10.107 seconds to fall 500 meters.

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