Answer:
The new store will have a profit of $5400 after its fifth month.
(R-C)(x) = (x²+5x+14)-(x²-4x+5) = x²-x²+5x--4x+14-5 = 5x+4x+14-5=9x+9
(Use 5 for x)
(R-C)(5) = 9(5) + 9 = 45+9 = 54
Answer:
100 +3s≥ 160
You must sell as least 20 items
Step-by-step explanation:
You make 100 plus 3 dollars per sale
100 +3s
It must be at least 160
100 +3s≥ 160
Now we need to solve to see how many sales
100 +3s≥ 160
Subtract 100 from each side
100-100 +3s≥ 160-100
3s≥ 60
Divide each side by 3
3s/3≥60/3
s≥20
You must sell as least 20 items
Answer:
Step-by-step explanation:
Substituting y = 4x+1 into 2y = -x-1 gives the equation
2(4x+1) = -x-1
Solve the equation:
8x+2 = -x-1
9x = -3
x = -⅓
Answer:
D. 7.5 inches
Step-by-step explanation:
So, we can find the ratio of the big triangle to the small one by dividing the values of the hypotenuse.
So, 18/6 = 3
Big:small = 3:1
So, using this we can make an equation to find AD.
Let's say ED=x.
AD is basically ED (x) + AE (5).
Since ED is part of the small triangle, and AD is part of the big one, we can use the 3:1 ratio from above.
So,
=3.
Multiply both sides by x, getting x+5 = 3x.
Subtract the x: -x -x
And you get 5=2x, giving you 2.5 = x.
However, we're not done yet, as 2.5 is the value of ED, but we need AD.
Remember, AD is = ED + AE.
So, AD = 2.5 + 5.
Finally, AD = 7.5