Answer:
68 weeks
Step-by-step explanation:
1 week costs $11.50.
so, how many such weekly each cycles fit into the price of new machines ?
if they wait to long (to many weeks) they spend in total more money than buying a new machine.
but if they stay still below that max. number of weeks, they have at least the illusion that they are cheaper of with the weekly laundromat investment (but they forget, sooner or later they will need the new machines).
so the break even point is simply
782 / 11.5 = 68 weeks.
after 68 weeks it has cost them exactly the same amount of money, as if they had bought new machines right away at the beginning.
Step-by-step explanation:
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Answer:
see explanation
Step-by-step explanation:
(a)
Given
2k - 6k² + 4k³ ← factor out 2k from each term
= 2k(1 - 3k + 2k²)
To factor the quadratic
Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)
The factors are - 1 and - 2
Use these factors to split the k- term
1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )
1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term
= (1 - k)(1 - 2k)
1 - 3k + 2k² = (1 - k)(1 - 2k) and
2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)
(b)
Given
2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )
= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term
= (x - 2y)(2a + 3b)
Answer:5
Step-by-step explanation:5/3 x 3/1= 15/3= 5
It will be
3 4/14+2 3/14+4 6/14=9 13/14
