Answer:
$857 billion
Step-by-step explanation:
Since 2006, the amount of money spent at restaurants in a certain country has increased at a rate of 5% each year. In 2006, about $580 billion was spent at restaurants.
2014-2006=8 so 2014 is 8 years from 2006
If the trend continues, the amount of money spent at restaurant in 2014 will be (1.05)^8 times that of the amount in 2006:
$580*(1.05)^8 = $856.9
About <u>$857</u> billion will be spent at restaurants in 2014 if the trend continues.
Answer:
C.H. Weaver M.D. updated 10/2020 What is the Carcinogenicity antigen (CEA)? CEA is an antigen (small protein) that is found on the surface of many types of cancer cells and high levels of CEA can be detected in the blood of some patients with cancer and the developing fetus.
Step-by-step explanation:
Answer:
70 cabinets in method 1 and 24 cabinets in method 2.
Step-by-step explanation:
Let in method 1 they refinish x cabinets and in method 2 they refinish y cabinets.
Now, given that method 1 and method 2 takes 1 hour and 1.5 hours respectively and the material costs for method 1 and method 2 are $6 and $4 respectively.
If they plan to spend 106 hours in labour and $516 in material for refinishing cabinets, then
x + 1.5y = 106 ...... (1) and
6x + 4y = 516 ....... (2)
Now, solving equations (1) and (2), we get
6 (106 - 1.5y) + 4y = 516
⇒ 5y = 636 - 516
⇒ y = 24 cabinets
From equation (1) x = 106 - 1.5y = 106 - 36 = 70 cabinets. (Answer)
Answer:
y = (x - 5)(4x + 1)
Step-by-step explanation:
The given function y = 4x^2 -19x - 5
Here we have to find the AC method.
Identify the value of A, B and C
A = 4 , B = -19 and C = -5
AC = 4*-5 = -20
Now find the facotr -20 such that when we add those two factors, we have to get the value of B. That is B = -19
Factors are -20 and 1
1 * -20 = -20
1 + (-20) = -19
y = 4x^2 -19x - 5
This can be written using the factors
y = 4x^2 - 20x + 1x - 5
Now let's factor by group the first two terms, then second two terms.
y = 4x (x - 5) + 1(x - 5)
y = (x - 5)(4x + 1)
That's the answer.
Hope this will helpful.
Thank you.
