Suppose that a new employee starts working at ​$7.72 per hour and receives a 5​% raise each year. After time​ t, in​ years, his hourly wage is given by the equation y=$7.72(1.05)t. Find the amount of time after which he will be earning​ $10.00 per hour.

After what amount of time will the employee be earning​ $10.00 per​ hour?

Answer:

I had the same question and the answer is x = 11, m∠Q = 55°

The value of x is 11 and measure of <Q is 55 degree.

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.

We have,

m∠P = 125° and m∠Q = (5x)°.

and, P and Q are supplementary angles.

Using the property of Supplementary Angle

<P + <Q = 180

125 + 5x= 180

5x = 55

x= 11

Thus, the measure of <Q

= 5x

= 55 degree

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Answer:

There is enough statistical evidence to suggest that the department's claim is not true

Step-by-step explanation:

The mean weekly sales μ₀ ≤ 2,400 packages

The period over which the weekly sales were measured = Over the last 6 months

The number of stores in the sample, n = 61 stores

The sample mean, [tex]\overline x[/tex] = 3,593

The sample standard deviation, s = 4919

The significance level = 7% = 0.07

The critical value approach

The null hypothesis, H₀; μ ≤ μ₀

The alternative hypothesis, Hₐ; μ > μ₀

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

We get;

[tex]t=\dfrac{3,593-2,400}{\dfrac{4,919}{\sqrt{61}}} \approx 1.894[/tex]

With df = n - 1 = 61 - 1 = 60 at 7% significant level, from a graphing calculator the critical-t,  = 1.495598

The p-value at the test statistic is between 0.01 and 0.005

Given that the p-value is less than the significant level, and the test statistic is larger than the critical-t we reject the null hypothesis, that the mean weekly aerosol sale is less than 2,400 packages.

Therefore, there is sufficient statistical evidence to suggest that the departments claim is not true and the mean sales of Aerosols have increased to more than 2,400 packages

Answer: 5.4

Step-by-step explanation:

The volume of the pyramid is 23.375 ft^3.

We have,

Volume = (1/3) * Base Area * Height

In this case, the base of the pyramid is a square, and the perimeter of the base is given as 10.7 ft.

The perimeter of a square is equal to 4 times the length of one side.

Let's denote the length of one side of the square base as s.

And,

4s = 10.7

Solving for s:

s = 10.7 / 4 = 2.675 ft

Base Area = s^2

Plugging in the value of s:

Base Area = (2.675 ft)^2 = 7.156 ft^2

Now,

Volume = (1/3) * Base Area * Height

Volume = (1/3) * 7.156 ft^2 * 9.8 ft

Volume = 23.375ft^3 (rounded to six decimal places)

Therefore,

The volume of the pyramid is 23.375 ft^3.

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Answer:

3.7

Step-by-step explanation:

Acellus

Answer:

b. x=48

Step-by-step explanation:

just try each one until you get an answer that equals to 180 degrees

Answer:

the answer is b.X=48....

Answer:

y = -⅓x - 5

Step-by-step explanation:

the slope of g(x) = 3

=> the slope of the line perpendicular

to g(x) = -1 /3

so,

the line is :

y +5 = -⅓(x-0)

y = -⅓x - 5

On comparison to slope intercept form

Perpendicular lines have slopes negative reciprocal to each other

Slope of perpendicular line=-1/3

Equation

Answer:

60

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

[tex] \sqrt{300 } = 17.32[/tex]

Round to the nearest whole number which is 17.

Answer:

Vertical angles

Step-by-step explanation:

I just think that's the answer

have a great rest of ur day though

Answer:  89 will go in the box

This means the exact distance between the two given points is [tex]\sqrt{89}[/tex] which approximates to roughly 9.4339811

===========================================================

Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\[/tex]

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Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get [tex]\sqrt{89}[/tex] as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

Step-by-step explanation:

m L 1 = 130° (alternate interior angles)

m L 2 = 180°- m L 1 (supplementary)

= 180° - 130° = 50°

Vertical angles are supplementary

m<2

m<1

Answer:

200

Step-by-step explanation:

If the waiters surveyed 50 customers and half of the customer's favorite meat was chicken, then if 400 pieces of meat were ordered 200 pieces should be chicken.

If [tex]\frac{50}{chicken}[/tex] = [tex]\frac{50}{25}[/tex] = [tex]\frac{1}{2}[/tex], then [tex]\frac{400}{chicken}[/tex] = [tex]\frac{400}{2}[/tex] = [tex]2[/tex]

I hope that makes sense :)

Answer:

I believe C

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

mean : added up the values and divide the result by the number of the values

Mr Jones = (5 + 6.25 + 5.75 + 6.50 + 8)/5 = $6.30

Mrs Jones = (5.50 + 7 + 6.25 + 5.75 + 7.75)/5 = $6.45

The difference between the two mean is 15 cents or $0.15

Answer:

it´s 3,000

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

I think the correct answer is 31

Respuesta:

12.04 pero puede ser 12

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + 9^2 = c^2

64 + 81 = 145^2

√145 = 12.04 = 12

2 out of 50 are defective.

Divide 2 by 50: 2/50 = 0.04

Now multiply the total quantity by that:

2000 x 0.04 = 80

80 are likely to be defective.

Answer:

The area of the composite area is 400 square millimeters.

Step-by-step explanation:

The area of the composite figure ([tex]A[/tex]), in square millimeters, is found by multiplying the area of the equivalent rectangle, in which a semicircle of the original rectangle is move to the opposite side of the figure, so that quantity of area is conserved:

[tex]A = w\cdot h[/tex] (1)

Where:

[tex]w[/tex] - Width, in millimeters.

[tex]h[/tex] - Height, in millimeters.

If we know that [tex]h = w = 20\,mm[/tex], the area of the composite figure is:

[tex]A = (20\,mm)\cdot (20\,mm)[/tex]

[tex]A = 400\,mm^{2}[/tex]

The area of the composite area is 400 square millimeters.

Answer:

A

Step-by-step explanation:

There isnt enough information given.

Hope it helps u

Please mark as the brainliest

Step-by-step explanation:

A because you divide shshehxyhdjdhxhdhd

Answer:

Solution given:

-6(3x-⅔)

distribute it

-18x+6*⅔

-18x+4 is a required answer.

Answer:

Option B

Step-by-step explanation:

Quadratic equation given in the question is,

[tex]x^2+4x+2=0[/tex]

By comparing this equation with the standard quadratic equation,

[tex]ax^2+bx+x=0[/tex]

[tex]a=1,b=4[/tex] and [tex]c=2[/tex]

By using quadratic formula to get the roots of the given quadratic equation,

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

By substituting the values of a, b and c in the formula,

[tex]x=\frac{-4\pm\sqrt{4^2-4(1)(2)}}{2(1)}[/tex]

[tex]x=\frac{-4\pm\sqrt{16-8}}{2}[/tex]

[tex]x=\frac{-4\pm\sqrt{8}}{2}[/tex]

[tex]x=\frac{-4-\sqrt{8}}{2},\frac{-4+\sqrt{8}}{2}[/tex]

[tex]x=-3.414,-0.5857[/tex]

[tex]x=-3.41,-0.59[/tex]

Therefore, Option B will be the answer.

Answer:

Step-by-step explanation:

A grocer purchased 80kg of rice at rs90 per kg and sold at rs 99 per kg. 1)Find his profit/loss. 2)Find his profit/loss percent

Answer:

y + 1 = -14(x - 2)^2y = -14(x - 2)^2 - 1

Step-by-step explanation: