All categories

3 years ago

Find an equation of the line slope 2/3; through (-6,3)

1 answer:

4 0

If you are given a point and the slope, use the point-slope formula.
m = 2/3
(x₁, y₁) = (-6, 3)

y - y₁ = m(x - x₁)

y - 3 = 2/3(x + 6)
y - 3 = 2/3x + 12/3
y - 3 = 2/3x + 4
y = 2/3x + 1

The equation of the line is y = 2/3x + 1.

You might be interested in

Yong produces silk and polyester fabrics. Management has compiled the following unit selling price and unit cost information for

monitta

Answer:

$9.05

Explanation:

the information about prices and costs is missing, so I looked it up:

contribution margin per yard for silk = $18 - $4.10 - $2.70 - $3.51 - $0.90 = $6.79

contribution margin per yard for polyester = $10.20 - $0.80 - $2.90 - $3.77 - $0.60 = $2.13

contribution margin per machine hour:

silk = $6.79 x 1/0.75 = $9.05

polyester = $2.13 x 1/0.5 = $4.16

8 0

3 years ago

A bank agrees to lend via simple loan $100 today to Thomas. The agreement is based on that the yearly interest rate is 15%. If T

Ede4ka [16]

Answer:

$404,55 (cumulative) or $250 (american)

Explanation:

This explanation considers a cumulative interest rate in the simplest way. And american amortization system. Consider that there is also French and German systems which works differently depending on the way the loan reimbursed

Cummulative Interest Rate:

Consider this:

If Thomas had to return it in one year he would have to return $115 ($100+15%) which is equal to 100*(1+0.15)

Now, at the begining of the second year, his debt is $115, and at the end its $115+15% = 132,25. Which is equal 100*(1+0.15)*(1+0.15), this is equivalent to 100*(1+0.15)^{2}

The general formula for cummulative interest is C(1+i)^{n}

Where

C = is the loan amount [in this case: 100]

i = is the interest rate [in this case: 0.15]

n = is the number of periods until [in this case: 10]

American System

The american system is quite straight forward:

Thomas should pay $15 every year for 10 years, and with the last payment he should pay $115.

This is because in this system Thomas returns the capital (the amount of the loan) at the end; and each year he only pays the interest .

$15*10 + $100 = $250

7 0

3 years ago

For the quarter ended March 31, 2020, Croix Company accumulates the following sales data for its newest guitar, The Edge: $321,6

jeyben [28]

Answer:

$13,800

Explanation:

Static budget report for the second quarter and for the year to date

PRODUCT LINE: BUDGET; ACTUAL; DIFFERENCE; REMARK

Guitar:The Edge 380,800 394,600

13,800 favorable

Production line = Guitar:The Edge

Budget =$380,800

Actual=394,600

Difference = 13,800

Remark : Favorable

8 0

3 years ago

The price of a large pizza decreased from $18.00 to $14.00. As a result, the quantity demanded of skateboards increased from 330

natta225 [31]

Answer:

a. The percentage change in pizza prices is -25.00%.

b. The percentage change in pizza prices is 5.88%.

c. The cross elasticity of demand for pizza and skateboards is -23.53%.

We follow these steps to arrive at the answer.

<h3>a. Percentage change in price of pizza</h3>

The percentage change in price of pizza using the midpoint formula is:

$percentage change in price = ({\frac{P_{2} - P_{1}}{Average price})*100$

$Average Price = \frac{P_{2} + P_{1}}{2}$

In this question, P₁ is $18 and P₂ is $14

Substituting the values in the formula above we get,

$Average Price = \frac{14 + 18}{2}$

$Average Price = \frac{32}{2}$

$Average Price = 16$

$percentage change in price = (\frac{14 - 18}{16})* 100$

$percentage change in price = (\frac{-4}{16}) * 100$

$percentage change in price = -25$ %

<h3>b. Percentage change in quantity demanded of skateboards</h3>

The percentage change in quantity of skateboards using the midpoint formula is:

$percentage change in quantity = (\frac{Q_{2} - Q_{1}}{Average Quantity})*100$

In this question, Q₁ is 330 and Q₂ is 350

Substituting the values in the formula above we get,

$Average quantity = \frac{Q_{2} + Q_{1}}{2}$

$Average quantity = \frac{350 + 330}{2}$

$Average quantity = 340$

$percentage change in quantity = (\frac{350 - 330}{340})*100$

$percentage change in quantity = (\frac{20}{340})*100$

$percentage change in quantity = 5.8823529$ %

<h3>c. Cross Elasticity of demand of skateboards and pizza</h3>

We calculate the cross elasticity of demand as follows:

$Cross Elasticity Demand = \frac{percentage change in quantity of skateboards}{percentage change in price of pizza}$

$Cross Elasticity Demand = \frac{0.058823529}{-0.25}$

$Cross Elasticity Demand = -0.235294118$

$Cross Elasticity Demand = -23.53$ %

7 0

3 years ago

Q 10.7: Melbee Farms is considering purchasing a new combine that would help them finish their harvesting faster, thus allowing

LUCKY_DIMON [66]

Answer:

Discounted payback period= 3 years 1 month

Explanation:

The discounted payback period is the estimated length of time in years it takes the present value of net cash inflow from a project to equate the net cash the initial cost

To work out the discounted payback period, we will compute present value of the cash inflow and then determine how long it will take for the sum to be equal to the initial cost. This is done as follows:

Year Cash flow DF Present value

0 487,000 × 1 = (487,000)

1 157,000 × 1.07^(-1) = 146,729.0

2 182,000 × 1.07^(-2) = 158965.8

3 202,000 × 1.07^(-3) = 164,892.2

4 213,000 × 1.07^(-4) =162,496.7

Total PV for 2 years = 146729 +158965+164892= 470587.0

Balance of cash flow remaining to equal = 487,000-470587 = 16413.0

Discounted payback period = 3 years + 16413.0 /162,496.7 × 12 months

= 3year , 1.2months

Discounted payback period= 3 years 1 month

5 0

3 years ago