Derrick had to paint two of his bedroom walls

Mr. Jones has 6 employees whose gross pay totals $3060. Assuming 7.05% social security withholding, how much total should he wit

Mademuasel [1]

Since we are already given with the total gross pay of the 6 employees, the amount that Mr. Jones should withhold from them for the social security tax that needs to pay will just be the product when $3,060 is multiplied by 7.05%. The answer should be $215.73.

3 0

3 years ago

Read 2 more answers

The line y =3x-5 meet x-axis at the point M.

dusya [7]

y = 3x - 5 meets the x-axis at the x-intercept, and that happens when y = 0

$\bf \stackrel{y}{0}=3x-5\implies 5=3x\implies \cfrac{5}{3}=x~\hspace{5em}\stackrel{M}{\left( \frac{5}{3},0 \right)}$

3y + 2x = 2, meets the y-axis when x = 0, and that'd be the y-intercept

$\bf 3y+2(\stackrel{x}{0})=2\implies 3y=2\implies y=\cfrac{2}{3}~\hspace{5em}\stackrel{N}{\left( 0,\frac{2}{3} \right)}$

so let's find the equation of the line with points M and N in standard form, bearing in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

$\bf M(\stackrel{x_1}{\frac{5}{3}}~,~\stackrel{y_1}{0})\qquad N(\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{2}{3}}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{~~\frac{2}{3}-0~~}{0-\frac{5}{3}}\implies \cfrac{2}{3}\cdot -\cfrac{3}{5}\implies -\cfrac{2}{5}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=-\cfrac{2}{5}\left( x-\cfrac{5}{3} \right)\implies y=-\cfrac{2}{5}x+\cfrac{2}{3} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15y=-6x+10}\implies \stackrel{\textit{standard form}}{6x+15y=10}\implies 6x+15y-10=0$

3 0

3 years ago

helpppp plsss What shape is created by the rotation around the given axis "a"? Prism Cone Pyramid Sphere

coldgirl [10]

Answer:

Option (2)

Step-by-step explanation:

From the picture attached,

When the given shape is rotated about the axis 'a',

Triangle ABC forms a 3-D figure of a cone.

Segment AB is the diameter of the circular base and CD is the height of the cone.

Therefore, Option (2) CONE will be the answer.

3 0

2 years ago

Roberto deposited $5,000 into an account with 4.2% interest, compounded monthly.

Marina86 [1]

Answer:

$50,581.9

Step-by-step explanation:

8 0

3 years ago

A train leaves Boston at noon going to NYC at a speed of 60 mph. Two hours later, an express train leaves NYC going to Boston at

lana66690 [7]

Train A: Speed of 60 mph. (1 mile per minute)

Train B: Speed of 90 mph. (1.5 miles per minute)

after 2 hours: (2:00)

Train A has gone 120 miles. (half-way mark)

Train B has gone 0 miles.

Hour 2:48: (2:48)

Train A has gone 168 miles.

Train B has gone 72 miles.

72 ----><---------------168

At 2:48 P.M the two will meet. 72+168=240

I hope this helps! :)

4 0

2 years ago