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2 years ago

In 56 years Keven will be 9 times as old as he is right now

Mathematics

1 answer:

Aleks04 [339]2 years ago

6 0

Answer:

Keven is 6 and a half or seven right now.

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A box is to be made where the material for the sides and the lid cost $0.20 per square foot and the cost for the bottom is $0.

luda_lava [24]

Answer:

Let the width of the base be x and the height of the box be y. The base is a square so its area is x2. Then the volume of the box is "base area times height", so the volume is V=x2y=40ft3.

The area of the base is x2, so the cost of the base is 0.31x2.

The area of each side is xy, so the cost of each side is 0.05xy, so the cost of all four sides is 4×0.05xy=0.2xy.

The area of the top is x2, so the cost of the top is 0.19x2.

So the total cost is C=0.31x2+0.19x2+0.2xy=0.5x2+0.2xy.

Since x2y=40, we have y=40/x2, so C=0.5x2+0.2x×40x2=0.5x2+8x. This we can optimise using derivatives.

Step-by-step explanation:

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3 years ago

Select the correct answer.

devlian [24]

The answer is c Sam buys gas at a slower rate of 3.4 mile per gallon

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1 year ago

Rachael and Theodore plant a sunflower.

e-lub [12.9K]

Theodore would be closer .6 is what it grows in a week

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1 year ago

The table shows the height of a soccer ball that has been kicked from the ground over time. (For reference: h(t) = 144 – 16t2) T

adoni [48]

Answer : option D

The rate of change is not constant and increases then decreases over time. The height of the ball above ground gets larger until 1.25 seconds and then gets smaller after that time.

Rate of change is nothing but the slope

To find slope we use formula $\frac{Change in height }{change in time}$

Time (seconds) Height (feet) Rate of change

0 -------------------------0

0.5 -----------------------16 -------------------- $\frac{16-0}{0.5-0} =32$

1 ----------------------24 -------------------- $\frac{24-16}{1-0.5} =16$

1.25 -----------------------25-------------------- $\frac{25-24}{1.25-1} =4$

1.5 -------------------------24 -------------------- $\frac{24-25}{1.5-1.25} =-4$

2 ----------------------------16 -------------------- $\frac{16-24}{2-1.5} =-16$

2.5 -------------------------0 -------------------- $\frac{0-16}{2.5-2} =-32$

Rate of change is positive till 1.25 seconds and then it becomes negative. From this it is clear that, the rate of change is not constant and increases then decreases over time. The height of the ball above ground gets larger until 1.25 seconds and then gets smaller after that time.

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2 years ago

Audrey is buying a new car for 32,998 she plans to make a down payment of 4200 if she’s to make monthly payments of 525 for the

Reptile [31]

The answer is 2702. I think idk what APR means

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3 years ago

Read 2 more answers