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Rus_ich [418]
2 years ago
13

Please help! - - - - -

Mathematics
1 answer:
Jlenok [28]2 years ago
5 0
The answer has to be in y-intercept form. Which is y=mx+b and b can also be neg. y=mx-b. The m is your slope and b is your y-intercept. So A’s slope counting from 3 on the y axis to 1 on the x-axis which is down 2 over 1 so it will be -2/1. And your y intercept is 3. The equation is y=-2x+3. For B its the same thing but no graph. Remember that slope is RISE over RUN. So since the number is on the bottom of the line the rise is 4 and the run is 1. So in this case 10 is your y-intercept. Which means you equation is y=4x+10.

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Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collect
mars1129 [50]

Answer:

If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".

Step-by-step explanation:

Note: The data needed to estimate costs using the high-low method is merged together. It is therefore sorted before answering the question as follows:

Month          Machine Hours          Electricity Costs

January              2,000                           $18,950

February            2,400                           $22,100

March                 1,400                            $14,050

April                   2,600                            $24,100

May                    3,300                            $28,800

June                   2,800                           $23,100

July                    3,600                            $25,300

August               3,000                            $23,300

September         1,500                             $16,600

October             3,200                             $27,100

November         4,200                             $32,100

December         3,700                             $28,300

The explanation of the answer is now provided as follows:

Step 1: Calculation of variable cost per hour

From the data above, the highest Machine Hours and Electricity Costs occur in November, while the lowest occur in March. Therefore, we have:

Variable cost per hour = (Highest Electricity Costs - Lowest Electricity Costs) / (Highest Machine Hours - Lowest Machine Hours = ($32,100 - $14,050) / (4,200 – 1,400) = $18,050 / $2,800 = 6.44642857142857

Rounding to 2 decimal places as required, we have:

Variable cost per hour = $6.45

Therefore, the variable-cost components using the high-low method is $6.45.

Step 2: Calculation of total fixed cost

The formula for calculating the total cost is given as follows:

Total cost = Total Fixed Cost + Total Variable Cost ................. (1)

Where;

Total Variable Cost = Variable cost per hour * Machine hours at a particular Electricity Costs

Using highest levels of activity and substitute into equation (1), we have:

$32,100 = Total Fixed Cost + ($6.45 * 4,200)

Total Fixed Cost = $32,100 - ($6.45 * 4,200) = $32,100 - $27,090 = $5,010

Therefore, the fixed-cost components using the high-low method is $5,010.

Step 3: Derivation of the cost equation for electricity costs

The cost equation for electricity costs can be obtained based on the total cost function given in equation (1) above, where:

Total Fixed Cost = $5,010

Total Variable Cost = Variable cost per hour * Machine hours = $6.45 * Machine hours

Substituting the values into equation (1), we have:

Total cost = $5,010 + ($6.45 * Machine hours)

Therefore, if the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".

8 0
3 years ago
In the last election, 3/8 of the voters in Afton voted for the incumbent mayor. if 424 people voted in Afton the last election,
Ilya [14]
159 people voted for the incumbent mayor 
4 0
3 years ago
Determine an interest rate less than 15%, a period of investment greater than two years, and a regular payment that will result
Alborosie
13%, 5 years, 2500 could most likely maybe be the answer a question
7 0
2 years ago
The owner of Sack of Suds paid his cashier $60 when he was actually owed only $42. What was the
OLga [1]

Answer: 42.9%

Step-by-step explanation:

Percent error is the difference between the measured and known value, which is divided by the known value, and then multiplied by 100%.

Percent error = (Estimated number- Actual number)/Actual Number × 100.

= (60 - 42)/42 × 100

= 18/42 × 100

= 0.429 × 100

= 42.9%

5 0
3 years ago
The stem and leaf plot below could not represent which of the following ​
mario62 [17]

Answer:

Your answer would be D. The height of NBA basketball players in meters

Step-by-step explanation:

It makes sense for the to be 1-9 inches of rain, a plant 1-9 inches, a phone book 1-9 pounds, but there is not a lot of Basketball players that are only one meter tall. ☺ That would be able impossible.

5 0
2 years ago
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