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2 years ago

4

A school spent $900 on new desk for the start of the year. that amount included a 6% sales tax . what was the original price of

the desk. before tax

1 answer:

Mariana [72]2 years ago

7 0

6% = 0.06

900 * 0.06 = 54

900 - 54 = 846

The original price of the desk before the tax was $846.00.

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At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all

ankoles [38]

Complete Question

A recent study found that hourly wages earned by employees possessing a master's degree are distributed normally with a mean of $27.50 and standard deviation of $3.50

At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all

employers. If we interpret their claim as a percentile, what hourly wage must they offer employees with master's degrees?

Answer:

The value is $x = \$31.986$

Step-by-step explanation:

From the question we are told that they paid master's graduates more than 90% of all

Generally from the z-table the z-score for 90% is $z = 1.282$

This z-score can be mathematically represented as

$z = \frac{x - \mu }{\sigma}$

Here x is the hourly wage they offer employees with master's degrees

substituting $27.50 for $\mu$ and $3.50 for $\sigma$ we have

$1.282 = \frac{x - 27.50 }{3.50}$

=> $x = \$31.986$

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2 years ago

1 decimeter on the map represents 100 meters on the ground. The scale ratio is 1 to ___.

balandron [24]

1 dm represents 100 m implies that 10 cm represents 100 m, so the scale is 1 : 10, that means that 1 cm is 10 m in the map.

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2 years ago

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Find the measure of APBˆ. A. 130 B. 63 C. 50 D. 230

Daniel [21]

Answer:

65

Step-by-step explanation:

TAB is an isosceles triangle by the point to tangent theorem theorem.

BAT and BAT are congruent because of the isosceles triangle definition.

CAT and ABT are right angles by the tangent theorem.

Thus, CAB and CBA are both 90 - 65 = 25.

ACB is 130 because triangles' angles add up to 180.

APB is one half of ACB by the inscribed angles theorem.

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2 years ago

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

katen-ka-za [31]

Answer:

$\displaystyle y = \frac{1}{3}x$

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 - 4}{9 - 12} = \frac{1}{3}$

Then plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope</em><em> </em><em>Formula</em><em> </em>since you get it done much swiftly that way. It does not matter which ordered pair you choose:

−4 = ⅓[−12] + b

−4

$\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x$

_______________________________________________

−3 = ⅓[−9] + b

−3

$\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x$

**You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

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2 years ago

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A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain point on the polygon. the polygon is

nasty-shy [4]

Answer: D. if a is greater than 1, the image of the polygon is smaller than the polygon

Step-by-step explanation: MARK ME BRAINLIEST!!!!

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2 years ago