To break even in a manufacturing​ business, income or revenue R must equal the cost of production C. The revenue R from selling x number of computer boards is given by R=40x​, and the cost C of producing them is given by C=30x+1000. Find how many boards must be sold to break even. Find how much money is needed to produce the​ break-even number of boards.

Answers

Answer 1
Answer:

Answer:

To find the number of boards that must be sold to break even, we need to set the revenue equal to the cost and solve for x.

Given:

Revenue R = 40x

Cost C = 30x + 1000

Since the break-even point is when revenue equals cost, we have the equation:

40x = 30x + 1000

To solve for x, we subtract 30x from both sides of the equation:

40x - 30x = 30x + 1000 - 30x

Simplifying:

10x = 1000

Dividing both sides by 10:

x = 100

Therefore, to break even, 100 computer boards must be sold.

To find the amount of money needed to produce the break-even number of boards, we substitute the value of x into the cost equation:

C = 30x + 1000

C = 30 * 100 + 1000

C = 3000 + 1000

C = 4000

Therefore, $4000 is needed to produce the break-even number of boards.

Step-by-step explanation:


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What’s 34 percent of 240? A. 81.6 B. 81 C. 90.6 D. 80

Answers

34 percent of 240 is 81.6
Hello!

To convert a percent to a decimal you divide by 100.

34%/100=0.34

Now we multiply 0.34 by 240.

0.34·240=81.6

Therefore, our answer is A. 81.6

I hope this helps!

Solve the logarithmic equation. be sure to reject any value that is not in the domain of the original logarithmic expressions. give the exact answer. log8(5x + 8) = log8(5x + 5)

Answers

this is the answer: false, because the domain is incorrect

Is 0.789 greater than 0.7 or less then it?

Answers

The answer is 0.789
So that means 0.789 is greater than 0.7
Hope this helps  :)

**WILL GIVE BRAINLIEST**Example 2: Leonardo saw the new sound system he wanted for $2623.95, including taxes. He had to buy it on

credit and had two options:

-

Use his new bank credit card, which has an interest rate of 14.5% compounding daily (Because the this

credit card is new, he has no outstanding balance from the previous month)

Apply for the store credit card, which offers an immediate rebate of $100 on the price, but has an interest

rate of 19.3%, compounded daily.

As with most credit cards, Leonardo would not pay any interest if he paid off the balance before the due date on

his first statement. However, he cannot afford to do this. Both cards require a minimum monthly payment of 2.1%

on the outstanding balance, but Leonardo is confident that he can make regular payments of $110.

Answers

Answer:

assuming 30 day months:

Leonardo can pay up to $110 per month

credit card

daily interest = 14.5% / 360 = 0.040278%

monthly interest = (1 + 0.040278%)³⁰ - 1 = 1.2154%

I prepared an amortization schedule using an excel spreadsheet

It will take Leonardo 29 months to completely pay off his debt. The last payment will only be $37. Leonardo will be able to save $65 on his last payment if he uses his credit card.

store credit

daily interest = 19.3% / 360 = 0.05361%

monthly interest = (1 + 0.05361%)³⁰ - 1 = 1.6209%

principal will be $100 lower, $2,523.95

I prepared an amortization schedule using an excel spreadsheet

It will also take Leonardo 29 months to completely pay off his debt, but the last payment will be $102, which is higher than the $37 that he would need to pay using a credit card.

The movie theater has 250 seats 225 seats were sold for the carriage showing what percent of seats are empty?

Answers

Well 25 seats are available so 25/250 equals 0.1 or
10%

How many solutions are there to the equation below? 6x + 30 + 4x=10(x + 3) a. 0 b. infinetely many c. 1

Answers

Answer:

b

Step-by-step explanation:

given

6x + 30 + 4x = 10(x + 3) ← collect like terms on left side

10x + 30 = 10(x + 3) ← distribute parenthesis by 10

10x + 30 = 10x + 30

since both sides are the same , then any value of x will make the equation true.

The equation has infinitely many solutions