An employee is scheduled to work 40 hours per week at a base rate of $18.50 per hour. In addition to the 40 scheduled hours, the employee is asked to work 8 hours of overtime for one week due to staffing shortages. If overtime is paid at a rate of 1.5 times the base rate, how much will the employee earn for the week? (use $xxx.Xx format)

Answer:

h = 504, k = 65, t = -1

Step-by-step explanation:

56 = h/9

h = 56 x 9

h = 504

k/5 - 10 = 3

k/5 = 3 + 10

k/5 = 13

k = 13 x 5

k = 65

3t + 5 = 2

3t = 2 - 5

3t = -3

t = -3/3

t = -1

slope is just "how much up or down" for one step to the right.

its clearly negative here

only -3 seems to be remotely plausible looking at the graph in your screenshot

Answer:

The slope is [tex]-3[/tex]

Step-by-step explanation:

The slope of a line, [tex]m[/tex], that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To find the slope of a line, choose two points that it clearly passes through.

In the given graph, the line clearly passes through points (2, 2) and (0, 8).

Let:

[tex](x_1, y_1)\implies (2, 2)\\(x_2, y_2)\implies (0, 8)[/tex]

Substitute into the slope formula:

[tex]m=\frac{8-2}{0-2}=\frac{6}{-2}=\boxed{-3}[/tex]

Therefore, the slope of the line is -3.

Answer:

x + 90 + (x minus 10)= 180° can be used to find the value of x.

Answer:

A) X+90+ (x-10) - 180

C) 2x+80 = 180

D) x+90 = 2x+40

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

According to Euclidian theorem

x^2 = 144*(400-144)

x^2 = 144*256

x^2 = 36864 find the root of both

x = 192

Step-by-step explanation:

R^2*3,14=12^2*3,14=452,16 làm tròn đến phần  mười gần nhất là450

Answer:

70.875 [tex]km^{2}[/tex]

Step-by-step explanation:

Using the equation of area of trapezium

[tex]\frac{1}{2} * (a+b)h[/tex]

Put the value into the equation

[tex]\frac{1}{2}(4.8+5.7)*13.5[/tex]

Simplify the equation and you will get:

[tex]2.4*13.5=70.875 km^{2}[/tex]

So, the answer is 70.875km^2

Answer:I’m not sure

Step-by-step explanation: try and use the scientific demos

Answer:

Step-by-step explanation:

On first day , the video was viewed = 320 times .

We are given that Each day since then, the number of views was 25% more than the day before. This means the likes are increasing 1.25 per day .

So, this situation forms G.P.

Where common ratio r = 1.25

First term = f(1) = 320

Formula of nth term in G.P. =

So, nth term of the given situation :

Where f(n) denotes the number of views on nth day .

So, the number of views Vera's video got on the nth day =

Step-by-step explanation:

Answer:

10.875 total, 1.5 times each are below.

Step-by-step explanation:

1.5 (1 1/2) x 1.5 = 2.25

0.5 (2/4) x 1.5 = 0.75

0.125 (1/8) x 1.5 = 1.875

4 x 1.5 = 6

2.25 + 0.75 + 1.875 + 6 = 10.875 total

Answer:

x = 136

Step-by-step explanation:

x and 44 are same- side interior angles and sum to 180° , that is

x + 44 = 180 ( subtract 44 from both sides )

x = 136

Answer:

Step-by-step explanation:

Because those 2 lines are parallel, then 2x + 10 and 2x - 30 are same side interior and are supplementary. Therefore,

2x + 10 + 2x - 30 = 180 and

4x - 20 = 180 and

4x = 200 so

x = 50

Answer:

x = 50

Step-by-step explanation:

Two Parallel lines and an transversal.

Given angles are co - interior angles and they are supplementary.

2x + 10 + 2x - 30 = 180

2x + 2x + 10 -30 = 180   {Combine like terms}

4x - 20 = 180  

4x = 180 + 20     (Add 20 to both sides}

4x = 200              {Divide both sides by 4}

x = 200/4

x = 50

The first stuation is not true because when we look at X which marks it's number and then collect all number is not like B Data. For example, set a has 5x*10+7x*20+2x*30+......... and for set B has 2x*20+8x*70 +.......... the two set hasn't same point

Answer: 210

percent * base = amount

.6 * base = 126

base = 126/.6

x = 210

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

-10x+4y ≥-4

Plug in (0,-1)

-10(0) +4(-1) ≥-4

-4 ≥ -4

This is a true statement so the point is a solution

Answer:

Yes

Step-by-step explanation:

Substitute x = 0 and y = -1

Then

[tex] - 10(0) + 4( - 1) \geqslant - 4 \\ - 4 \geqslant - 4[/tex]

Answer:

is it your homework?

Step-by-step explanation:

Let ages of Seema and her mother be “5x” years and “12x” years respectively.

Difference between ages is 21 years

Hence,

12x - 5x = 21

7x = 21

x = 3

Therefore,

Age of Seema = 5 × 3 = 15 years

Age of her mother = 12 × 3 = 36 years

Ratio of ages after three years = ( 15+3 ) / (36+3 )

= 18 / 39

= 6 / 13

= 6 : 13

Answer:

x=4

Step-by-step explanation:

Answer:

59.5

Step-by-step explanation:

Half dozen = $4.25

Full Dozen = 2 X (4.25)

= 8.5

7 Dozens price = 7 X 8.5 =

= $59.5

Answered by Gauthmath

9514 1404 393

Answer:

  8

Step-by-step explanation:

The matrix being multiplied is the same in all cases, so we can "collect terms" in the usual way.

  3A +5A = (3+5)A = 8A . . . . . . where A represents the 2×2 matrix

The missing number is 8.

since in a cube length, width and height are equal,

h = 6

w = 6

l = 6

and volume is 6³ = 216cm³

hope it helps :)

Answer:

Right 3, Down 4

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) = (x + 3)^2 - 4[/tex]

Required

The transformation from f(x) to g(x)

When a function is translated up by h units, the rule is:

[tex](x,y) \to (x + h,y)[/tex]

So, we have:

[tex]f'(x) = (x + h)^2[/tex]

By comparison, h = 3. So:

[tex]f'(x) = (x + 3)^2[/tex]

When a function is translated down by h units, the rule is:

[tex](x,y) \to (x,y - h)[/tex]

So, we have:

[tex]g(x) = f'(x) -h[/tex]

By comparison, h = 4. So:

[tex]g(x) = (x + 3)^2 - 4[/tex]

Hence, the transformation is: 3 units right and 4 units down

Answer:

He has 4/35 of with money left

Step-by-step explanation:

1 - 3/5 - 2/7 = 4/35

This basically answers the question

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Annual interest rate (i)= 0.055

Initial investment (PV)= $10,000

Number of years (n)= 7

To calculate the future value (FV), we need to use the following formula (except in d):

FV= PV*(1+i)^n

a.

Semiannual interest rate= 0.055/2= 0.0275

Number of semesters= 7*2= 14

FV= 10,000*(1.0275^14)

FV= $14,619.94

b.

Quarterly rate= 0.055/4= 0.01375

Number of quarters= 7*4= 28

FV= 10,000*(1.01375^28)

FV= $14,657.65

c.

Monthly interest rate= 0.055/12= 0.0045833

Number of months= 7*12= 84

FV= 10,000*(1.0045833^84)

FV= $14,683.18

d.

To calculate the future value using continuous compounding, we need to use the following formula:

FV= PV*e^(n*i)

FV= 10,000*e^(7*0.055)

FV= $14,696.14

2 occurred 3times

[tex]\\ \sf\longmapsto S=6\times 3=18[/tex]

[tex]\\ \sf\longmapsto |S|=18[/tex]

Now

[tex]\\ \sf\longmapsto E=No\:of\:times\: 2\:occured[/tex]

[tex]\\ \sf\longmapsto |E|=3[/tex]

we know

[tex]\boxed{\sf P(E)=\dfrac{|E|}{|S|}}[/tex]

[tex]\\ \sf\longmapsto P(E)=\dfrac{3}{18}[/tex]

[tex]\\ \sf\longmapsto P(E)=\dfrac{1}{6}[/tex]

Answer:

1-[tex]\frac{2 }{\pi }[/tex] = 1- .64 = .36 = 36%

[tex](4\sqrt{2}) ^{2} = 32\\[/tex]

[tex]\pi 4^{2}[/tex]= 16[tex]\pi[/tex]

[tex]\frac{32}{16\pi }[/tex]= [tex]\frac{2 }{\pi }[/tex]

Step-by-step explanation:

[tex]6 \sqrt{7} (1 - x)[/tex]

Answer:

x = [tex]\frac{a(k-r)}{7}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{7x}{k-r}[/tex] ( multiply both sides by (k - r) )

a(k - r) = 7x ( divide both sides by 7 )

[tex]\frac{a(k-r)}{7}[/tex] = x

Answer:

65.3%

Step-by-step explanation:

what we want: p(2)+p(3)+p(4)

[tex]P(2)={5\choose2}*.4^2*.6^3\\P(3)={5\choose3}*.4^3*.6^2\\P(4)={5\choose4}*.4^4*.6\\P(2)+P(3)+P(4)= .6528[/tex]

which equal 65.28%

which rounds to

65.3%