Answer:
d. The amount of people in a town increase by 50 people every 5 years.
Step-by-step explanation:
this is because if you were to graph it, it would be a straight line while the other options the line would be curved.
Answer:
Kristi will pay $22.77 for the shirt.
Step-by-step explanation:
First, determine the sales price of the shirt. If the full price is $27.99, a 25% reduction is $7. Subtract the discount from the full price to get a sales price of $20.99 for the shirt.
Next, determine the amount of tax Kristi will pay for the shirt. In her state, the sales tax is 8.5% (0.085). Multiply $20.99 by 0.085 and you will see that the sales tax is $1.78. Add the amount of the tax, $1.78, to the sales price of the shirt, $20.99, and you will get $22.77 as the cost of the shirt after the sales tax is added.
Hey there, we are going to use two formula's, the first formula is A=πr², and the second formula is d=2r. Now, we can solve for a, A=1/4πd²=1/4*π*6²=28.27433cm², Therefore, the answer is 28.26 cm 2
Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :
where;
a = 12; b = -144 and c = 299
Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.
To do this problem you have to create two equations. one would be 18=4x+3y
an the other would be 9=2x+y. in this eqaution X is the number of DVDs and Y is the number of Video games. Then you solve for Y in the second equation and you get y=-2x+9. After that you then input this equation in for the other equation and you will have 18=4x+3(-2x+9). you solve for X in this problem and then you take the answer of x and put it in for x in the other equation.
so, 18=4x-6x+27
subtract 27 and add the 4x and -6x
-9=-2x
x=4.5
after this you put it in the other equation
9=-2(4.5)+y
multiply the -2 and 4.5
9=-9+y
add the 9
y=0
