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3 years ago

11

A rental car agency charges $17 per day plus 7 cents per mile to rent a certain car. Another agency charges $22

1 answer:

SOVA2 [1]3 years ago

4 0

A, I think. Hope this helps.

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A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.

noname [10]

Answer:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

Step-by-step explanation:

Given

$Volume = 128ft^3$

$L = 2W$

$Base\ Cost = \$9/ft^2$

$Sides\ Cost = \$6/ft^2$

Required

The dimension that minimizes the cost

The volume is:

$Volume = LWH$

This gives:

$128 = LWH$

Substitute $L = 2W$

$128 = 2W * WH$

$128 = 2W^2H$

Make H the subject

$H = \frac{128}{2W^2}$

$H = \frac{64}{W^2}$

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

$A = LW + 2(WH + LH)$

The cost is:

$Cost = 9 * LW + 6 * 2(WH + LH)$

$Cost = 9 * LW + 12(WH + LH)$

$Cost = 9 * LW + 12H(W + L)$

Substitute: $H = \frac{64}{W^2}$ and $L = 2W$

$Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)$

$Cost =18W^2 + \frac{768}{W^2}*3W$

$Cost =18W^2 + \frac{2304}{W}$

To minimize the cost, we differentiate

$C' =2*18W + -1 * 2304W^{-2}$

Then set to 0

$2*18W + -1 * 2304W^{-2} =0$

$36W - 2304W^{-2} =0$

Rewrite as:

$36W = 2304W^{-2}$

Divide both sides by W

$36 = 2304W^{-3}$

Rewrite as:

$36 = \frac{2304}{W^3}$

Solve for $W^3$

$W^3 = \frac{2304}{36}$

$W^3 = 64$

Take cube roots

$W = 4$

Recall that:

$L = 2W$

$L = 2 * 4$

$L = 8$

$H = \frac{64}{W^2}$

$H = \frac{64}{4^2}$

$H = \frac{64}{16}$

$H = 4$

Hence, the dimension that minimizes the cost is:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

8 0

2 years ago

Needed help asap please and thank you so much !

Novosadov [1.4K]

Step-by-step explanation:

based on the story told I expected completely different questions.

but for the actually asked question the whole thing about gaining our not gaining weight is competent irrelevant. ignore it.

so, all we need to do is looking at the row totals.

27.4% of the participants took 1 vitamin.

49.5% of the participants took more than 1 vitamin.

so, 49.5% + 27.4% = 76.9% of all participants are taking vitamins in some form.

therefore, the second answer option is correct.

8 0

1 year ago

What point is a solution of x+2y<4

Alja [10]

Subtract x
2y<-x+4
divide 2
y<-x/2+4
find line and shade down , including (0,0)

any point there is a solution
(1,1)
(1,-1)
(0,0)
(-pi,pi)

7 0

3 years ago

Read 2 more answers

Given the graphs of f(x) = -x + 2 and g(x) = 5x – 4, what is the solution to the equation f(x) = g(x)?

Stels [109]

Answer:

c) 1

Step-by-step explanation:

f(x) = g(x)

-x+2 = 5x-4

+x +x

2 = 6x -4

+4 +4

6 = 6x

(divide both sides by 6)

1 = x

7 0

3 years ago

Read 2 more answers

Which scatterplot demonstrates a non-linear relationship between x and y?

stiks02 [169]

Answer:

D, or the bottom right.

Step-by-step explanation:

8 0

2 years ago