The way Maria calculates the final price of the book is correct. We know that the book normally sells for $26.50 plus a 10% sales tax. We also know that the students will receive an additional 25% discount. We must understand that the sales tax is applied to the discounted price. So first we will calculate 25% of 26.50 and subtract it from that amount. So the price will then be: (26.50 - 6.625). The price is now $18.34. Then to calculate the tax, it will be (10% * 18.34), so 1.834. We add this amount to the discounted price so: (18.34+1.834) = 20.12.
The final price of the book is $20.12 and Maria can get it and still save a little money
Answer:
Step-by-step explanation:
4/11
9514 1404 393
Answer:
(2x -1) by (x +5)
Step-by-step explanation:
We presume that the dimensions of the parking lot correspond to factors of the polynomial. The factorization is ...
2x^2 +9x -5
= 2x^2 +10x -x -5
= 2x(x +5) -1(x +5)
= (2x -1)(x +5)
Possible dimensions of the parking lot are (2x-1) and (x+5).
Answer:
(r - c)(4) means "The new store will have a profit of $4500 after its fourth month in business" ⇒ 3rd answer
Step-by-step explanation:
George has opened a new store and he is monitoring its success closely
He has found that:
- Store’s revenue each month can be modeled by r(x) = x² + 6x + 10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars
- His expenses each month can be modeled by c(x) = x² - 4x + 5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars
∵ r(x) = x² + 6x + 10
∵ r(x) is the revenue
∵ c(x) = x² - 4x + 5
∵ c(x) is the expenses
- The profit is the difference between the revenue and the
expenses
∴ The profit = r(x) - c(x)
∵ r(x) - c(x) can me written as (r - c)(x)
∴ The profit = (r - c)(x)
∴ The profit = (x² + 6x + 10) - (x² - 4x + 5)
- Remember (-)(-) = (+) and (-)(+) = (-)
∴ The profit = x² + 6x + 10 - x² + 4x - 5
- Add the like terms
∴ The profit = (x² - x²) + (6x + 4x) + (10 - 5)
∴ The profit = 10x + 5
∴ (r - c)(x) = 10x + 5
- Substitute x by 4
∵ x = 4 ⇒ 4 months
∴ (r - c)(4) = 10(4) + 5
∴ (r - c)(4) = 45
∵ r and c are in hundred dollars
∴ The profit = $4500
(r - c)(4) means "The new store will have a profit of $4500 after its fourth month in business"
Answer:
x = - 28
Step-by-step explanation:
Given
2 = - 
x - 6 ( add 6 to both sides )
8 = - x
Multiply both sides by 7 to clear the fraction
56 = - 2x ( divide both sides by - 2 )
- 28 = x
