MATHEMATICS COLLEGE

Which function is continuous?
Which function is continuous? - 1

Answers

Answer 1
Answer:

The answer is D. Cost of U.S. postage as a function of the weight of the letter.
Answer 2
Answer:

Answer:

The answer is B

Step-by-step explanation:

Did the practice on edge.

Related Questions

Mort is trying to save money to get out of student debt he saves money each month from his paycheck the function below relates money saved x in thousands of dollars to mouth since graduation, y.y=3x-7identifying the slope and intercept and describe what each mean in the context​
Megan’s room is expanded so the width is 150% of 3 meters. What is the new width?
2. picking a number from 1 to 5 and choosingthe color red, white, or blue
9. Solve for x: 2x – y = (3/4)x + 6.​
If x is not equal to zero, what is the value of 4(3x)^2/(2x)^2

Write a problem that uses a fraction greater than 1?

Answers

Answer:

3/2+3/2=3. Does this help? If not then I sincerely apologize- ^^". Please inform me if this is incorrect or not helpful

Step-by-step explanation:

A photocopier can print 12 copies in 18 seconds. At this rate, how many copies can it print in 42 seconds?​

Answers

28 copies !!!!!!! In 42 second

Answer:

It should be 28 copies

Step-by-step explanation:

If you divide 42 by 18 it gives you 2.33333333

If you multiply 12 by 2.33333333 it gives you 28

A summer camp wants to hire counselors aides to fill its staffing needs at minimum cost

Answers

Answer:

8 counselors and 12 aids

Step-by-step explanation:

minimum number of staff to run camp = 20

Ratio of counselors to aids to work together = 2:3

To get the multiply factor = 20 / (2 counselors + 3 aids) = 20 / 5 =4

minimum number of counselors needed = 4 x 2 = 8 counselors

minimum number of aids needed = 4 x 3 = 12 aids

Complete the sentence.
9 is 18% of

Answers

Answer:

9 is 18 percent of 50

Step-by-step explanation:

9 = 18% x Y

9 =  18

100  x Y

Y = 3 x  100/18

Y = 50%

John has taken out a loan for college. He started paying off the loan with a first payment of $100. Each month he pays, he wants to pay back 1.1 times as the amount he paid the month betore. Explain to Jo howto represent his first 20 payment n sigma notation.Then esplain how to tind the sum of his frst 20 pyments, using complete sentences. Esplain why this series is convergent or divergent

Answers

Since each term of the series is 1.1 times the previous one, the series is geometric. The generic term of a geometric series is
  a_(n)=a_(0)\cdot r^((n-1))

The sum in sigma notation simply adds these terms. The leading factor of 100 can be factored out.
sum=\displayform{100\cdot\sum\limits_(n=1)^(20){1.1^((n-1))}}

The sum can be found by adding the terms or by using the formula for the sum of a geometric series. In the latter case, we have
sum=100\cdot(1.1^(20)-1)/(1.1-1)\approx5727.50

The series is divergent because the common ratio of terms is greater than 1. (Of course, any finite number of terms will have a finite sum.)

Kent Co. manufactures a product that sells for $60.00. Fixed costs are $285,000 and variable costs are $35.00 per unit. Kent can buy a new production machine that will increase fixed costs by $15,900 per year, but will decrease variable costs by $4.50 per unit. What effect would the purchase of the new machine have on Kent's break-even point in units?

Answers

0riginal break even point:

285000/ 60/35 = $166,250

New break even point = new fixed costs / ( selling price - variable cost/ selling price)

New break even point = 285,000 + 15,900. / ( 60-( 35-4.50)/60

300,900 / 60-30.50/60 = $612,000

The new break even point increases.

Final answer:

With the new machine, Kent Co.'s break-even point in units would decrease, from 11,400 to 10,200 units. Despite increasing fixed costs, the new machine drives down variable costs, effectively lowering the total number of units needed to cover costs.

Explanation:

The concept under consideration here is the break-even point calculation in unit terms. The break-even point (units) is calculated by dividing the total fixed costs by the contribution margin per unit, which is sales price per unit minus variable cost per unit.

Currently, Kent Co.'s break-even point can be found using its original costs:

  • Fixed costs: $285,000
  • Sales price per unit: $60
  • Variable cost per unit: $35
  • Contribution margin per unit: $60 - $35 = $25
  • Break-even point (units): $285,000 / $25 = 11,400 units

If Kent were to purchase the new machine, its costs would alter as follows:

  • New fixed costs: $285,000 + $15,900 = $300,900
  • New variable cost per unit: $35 - $4.50 = $30.50
  • New contribution margin per unit: $60 - $30.50 = $29.50
  • New break-even point (units): $300,900 / $29.50 = 10,200 units

Thus, purchasing the new machine would in fact lower Kent Co.'s break-even point to 10,200 units, thereby improving its cost efficiency.

Learn more about Break-Even Point here:

brainly.com/question/35967655

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