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kramer
2 years ago
15

For a ride on a rental scooter , Keith paid an $8 fee to start the scooter plus 6 cents per minute of the ride. The total bill f

or keith ride was $12.32. For How many minutes did keith ride the scooter ?
Mathematics
1 answer:
salantis [7]2 years ago
7 0

Answer:

72 minutes!

Step-by-step explanation:

We can form the linear equation :

y = 0.06x + 8

y = 12.32

12.32 = 0.06x + 8

4.32 = 0.06 x

x = 72

tadah!

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The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0
3 years ago
How many digits are in the repetend of the decimal expansion for 2/41
AleksandrR [38]

Answer:

0.0487804878

Step-by-step explanation:

the answer will be 5 because it starts at 0.

5 0
2 years ago
In the figure to the right, AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3 /10 cm. Find the perimeter of the fig
pentagon [3]

Answer:

The perimeter of the figure = 9.5 cm

Step-by-step explanation:

<em>Note: You probably missed to add the figure, but after a little research I found and am attaching the figure. I have answered your question based on the reference of that figure. But, I hope you would learn the concept so that you could solve any question based on this concept. So, please check the figure.</em>

<em>Solution:</em>

The perimeter of the figure is the sum of all the sides of the given figure as shown in the attached figure.

So, here is the formula to calculate the perimeter.

                <em>Perimeter </em>=<em> AB + DE + BC + AE + BC  </em>

As AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm

Therefore,

<em>Perimeter</em> = 1 3/4  + 1 1/4  + 13/10 + 1 1/5           ∵ AE + BC = 1 1/5

                                   = (130  + 110  + 52 + 88) / 40

                                   = 380/40  

                                   = 9.5 cm

So, the perimeter of the figure is = 9.5 cm

Keywords:  perimeter

Learn more about perimeter of polygon from brainly.com/question/13393967

#learnwithBrainly

5 0
3 years ago
Read 2 more answers
Elena has some bottles of water that each holds 17 fluid ounces.How much water is in 51 bottles.
Kitty [74]
Answer: 867

because
if 1 bottle is 17 fluid ounces
than if you multiply 51 bottels
with 17 fluid ounces it gives you
867 fluid ounces.

51 * 17 = 867
3 0
3 years ago
Read 2 more answers
Your bowl contains 8 red balls, and 9 blue balls, and you draw 4 balls. in how many ways can the selection be made so that at le
kumpel [21]
<span>Your bowl contains 8 red balls, and 9 blue balls, and you draw 4 balls. in how many ways can the selection be made so that at least one of each color is drawn.</span>
5 0
3 years ago
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