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Oduvanchick [21]
2 years ago
7

One freezer costs $623.95 and uses 90 kilowatt hours (kwh) of electricity each month. A second freezer costs $500 and uses 100 k

wh of electricity each month. The expected life of each freezer is 12 years. What is the minimum electric rate in cents per kwh for which the 12-year total cost (purchase price + electricity costs) will be less for the first freezer?

Mathematics
1 answer:
lutik1710 [3]2 years ago
8 0

The minimum electric rate in cents per kwh for which the 12-year total cost will be less for the first freezer is 8.61 cents

<h3>How to calculate the rate?</h3>

Let x =  minimum electric rate (Cents/kWh)

Total months in 12 years is 12*12 = 144 m

1st freezer

Total cost over 12 years is

623.95 (cost) + (90 kWh/m)*(144 m)(x/100 $/kWh)

= 623.95 + 129.6x

2nd freezer

Total cost over 12 years is

500 + 100*144*(x/100)

= 500 + 144x

For the 1st freezer to cost less over 12 years,

623.95 + 129.6x < 500 + 144x

123.95 < 14.4x

8.61 < x

The minimum rate is 8.61 cents per kWh

Learn more about rate on:

brainly.com/question/25537936

#SPJ1

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Answer:

Week 1 =3.03

Week 2 =2.99

Week 3=2.9

Week 4=2.83

Step-by-step explanation:

Computation for the multifactor productivity measure for each of the weeks shown for production of chocolate bars.

Using this formula

Week Multifactor productivity measure = (Output / Total Cost)

Where:

Output represent Quantity produced

Total cost represent Labor cost + Material cost + Overhead

Let plug in the formula

Week 1= 30,000/(40*12*6)+[(40*12*6)1.5]+(450*6)

Week 1 =30,000/(2,880)+(2,880*1.5)+2,700

Week 1 =30,000/(2,880+4,320+2,700)

Week 1=30,000/9,900

Week 1 =3.03

Week 2= 33,600/(40*12*7)+[(40*12*7)1.5]+(470*6)

Week 2 =33,600/(3,360)+(3,360*1.5)+2,820

Week 2=33,600/(3,360+5,040+2,820)

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Week 3= 32,200/(40*12*7)+[(40*12*7)1.5]+(460*6)

Week 3 =32,200/(3,360)+(3,360*1.5)+2,760

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Week 4= 35,400/(40*12*8)+[(40*12*8)1.5]+(480*6)

Week 4 =35,400/(3,840)+(3,840*1.5)+2,880

Week 4=35,400/(3,840+5,760+2,880)

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Therefore the multifactor productivity measure for each of the weeks shown for production of chocolate bars is :

Week 1 =3.03

Week 2 =2.99

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4 0
2 years ago
Ms. Ruiz bought 12 packages of plates for the party. Each package contains 15 plates. She bought 10 packages of small plates and
RideAnS [48]

Answer:

a)  150 plates

b)  30 plates

c)  180 plates

Step-by-step explanation:

Given that:

She bought twelve (12) packages of plates for the party in which each package contains 15 plates.

Out of the 12 packages;

10packages are small plates & 2 packages are large plates.

a) The number of small plates she bought = 10 × 15 = 150 plates

b) The number of large plates she bought = 2 × 15 = 30 plates

c) The total number of plates she bought all together is:

= number of small plates bought + = number of large plates bought

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3 years ago
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Answer:

x= {2+ i}/2 , {2- i}/2 = C

Step-by-step explanation:

4x² - 8x +5 = 0

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x= {8+4 i}/8 , {8-4 i}/8

x=4 {2+ i}/8 , {2- i}/8

4 divides 8

x= {2+ i}/2 , {2- i}/2 = c

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Answer: 1/2= 5/10

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so planet X is 1/5 of a light-year closer

Step-by-step explanation:

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Step-by-step explanation:

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