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zmey [24]
3 years ago
10

Patrice user a $15 gift certificate when she purchased a pair of sandals. After 8% sales tax was applied to the price of the san

dals, the $15 dollars was deducted. Patrice had to pay a total of $12 for the sandals. How much did the sandals cost before tax?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0

Answer:

The sandals cost before tax $25.

Step-by-step explanation:

Let us assume that the sandals cost before tax $x.

So, after giving an 8% tax the price will be x(1 + \frac{8}{100}) = 1.08x.

If the $15 gift certificate on that after tax price and the final cost of the sandals becomes $12, then

1.08x - 15 = 12

⇒ 1.08x = 27

⇒ x = $25

Hence, the sandals cost before tax $25. (Answer)

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lutik1710 [3]

Answer:

y=75x+150

Step-by-step explanation:

Let y represent the number of monitors sold.

Given:

x is the number of years since 1990.

So, for the year 1990, x=0.

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Monitors sold in 2000 are 900. So, at x=10,y=900

Thus, the two points are (0,150) and (10,900).

The slope of a line with points (x_{1},y_{1}) and (x_{2},y_{2})  is given as:

Slope, m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

For the points (0,150) and (10,900), the slope is given as:

Slope, m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ m=\frac{900-150}{10-0}\\ m=75

Now, the y-intercept is the point where x=0. So, the point (0,150) has x value as 0.

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Equation of a line in slope-intercept form is given as:

y=mx+b

Where, m is the slope and b is the y intercept.

Here, m=75 and b=150.

Therefore, the equation that represents the above data is given as:

y=75x+150

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