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:
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.
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.
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