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2 years ago

What is the distance between (2, -1) and (-1, -5) on the coordinate plane? 7 units 6 units 5 units 4 units

1 answer:

3 0

You can use the distance formula:
 $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Plug in the given coordinates:
 $\sqrt{(-5-2)^2 + (-1+1)^2}$

$\sqrt{(7)^2 + (0)^2}$

$\sqrt{49+0}$

$\sqrt{49}=7$

Final answer : 7units

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Steeze Co. makes snowboards and uses the total cost approach in setting product prices. Its costs for producing 10,500 units fol

Feliz [49]

Answer:

$\large \boxed{1.\, \$239.81; 2.\, 12.5 \, \% ; 3. \$\,270}$

Step-by-step explanation:

Assume the costs are as in this table

$\begin{array}{rrrr}\textbf{Variable costs} & \textbf{per Unit} & \textbf{Fixed} & \textbf{Costs}\\\text{Direct materials} & \$ \, 101 & \text{Overhead} & \$\, 471000\\\text{Direct labour} & 26 & \text{Selling} & 104000\\\text{Overhead} & 21 & \text{Administrative} & 326000\\\text{Selling} & 6 & &\\\end{array}$

1. Total cost per unit

(a) Total cost

$\begin{array}{lrcr}\textbf{Item} & & & \textbf{Subtotal}\\\text{Direct materials} & 10500 \times 101 & = & \$ \, 1060500\\\text{Direct labour} & 10500 \times 26 & = &273000\\\text{Unit overhead} & 10500 \times 21 & = & 220500\\\text{Unit selling}& 10500 \times 6 & = & 63000\\\text{Fixed overhead} & & = & 471000\\\text{Fixed selling} & & = & 106000\\\text{Administrative} & & = &324000\\\text{TOTAL} & &= &\mathbf{\$ \, 2518000}\\\end{array}$

(b) Cost per unit

$\text{Total cost per unit} = \dfrac{\text{Total cost}}{\text{No. of units}} = \dfrac{\text{$\$ $2 518 000}}{\text{10 500}}= \textbf{\$239.81}$

2. Markup percentage

$\text{Total sales = total costs + profit} = $2 518 000 + $315 000 =\, \$2 833 000\\\\\text{Unit selling price} = \times \dfrac{\text{Total sales}}{\text{No. of units}} = \dfrac{\text{\$ 2833000}}{\text{10 500}}= \$269.81\\\\\text{Markup percentage} = \dfrac{\text{Selling price - Unit cost}}{\text{Unit cost}} \times 100 \, \%\\\\\\= \dfrac{\text{269.81 - 239.81}}{\text{239.81}}\times 100 \,\% = \mathbf{12.5 \, \%}\\\\\text{The markup percentage is $\large \boxed{\mathbf{12.5 \, \% }}$}$

3. Sales price by total cost method

Assume the markup percentage is 12.5 %.

Sales price = cost + markup percentage × cost

Sales price = $240 + ( 0.125× $240) = $240+ $30 = $270

3 0

2 years ago

You earn $420 per week. You pay social security taxes of 7.65%, federal taxes of 22%, and state taxes of 5.95%. What is your tak

Ad libitum [116K]

7.65+
5.95+
22= 35.6

Multiply 420$
35.6=
149.50$

Minus 149.50 from 420$
=270.48 will be your take home pay

5 0

2 years ago

Read 2 more answers

What’s the correct answer

forsale [732]

1/6.

Only one number plus 4 equals 6, two.

So, 2 is one of the six sides of the dice: 1/6

8 0

2 years ago

Which operation should you perform first when you simplify the expression below?

aalyn [17]

Answer:

A pq eu já não sei mas vou na A! não sei falar inglês, meu irmão leu, mas acho que não leu direito, eu chuto na A

6 0

2 years ago

Read 2 more answers

Simplify x = cos[2 arcsin(3/5)]. -7/25 7/25 4/5

Marina CMI [18]

Answer:

7/25

Step-by-step explanation:

Let $\theta= \arcsin(\frac{3}{5})$ so we have $x=\cos(2\theta)$

As $\cos(2\theta)=\cos^2\theta-\sin^2\theta$ , we'll have $\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2$

To determine $\cos(\arcsin(\frac{3}{5}))$ , construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since $\theta=\arcsin(\frac{3}{5})$ , then $\sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}$ . If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, $\cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$ . This means that $\cos(\arcsin(\frac{3}{5}))=\frac{4}{5}$ .

Hence, $\cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}$

5 0

1 year ago