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2 years ago

10

Car Survey In a survey of 1,900 people who owned a certain type of car, 1,235 said they would buy that type of car again. What p

ercent of the people surveyed were satisfied with the car?

1 answer:

prohojiy [21]2 years ago

5 0

Answer:

65%

Step-by-step explanation:

1235÷1900=0.65
Then you get 0.65 and move the decimal to the right 2 times. And you get 65.

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Simplify the expression

vekshin1

Answer:

the answer is c

Step-by-step explanation:

6 0

3 years ago

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Andru [333]

Answer:

(a)Revenue=580x-10x²,

Marginal Revenue=580-20x

(b)Fixed Cost, =900

Marginal Cost,=300+50x

(c)Profit Function=280x-900-35x²

(d)x=4

Step-by-step explanation:

The price, p = 580 − 10x where x is the number of cakes sold per day.

Total cost function,c = (30+5x)²

(a) Revenue Function

R(x)=x*p(x)=x(580 − 10x)

R(x)=580x-10x²

Marginal Revenue Function

This is the derivative of the revenue function.

If R(x)=580x-10x²,

R'(x)=580-20x

(b)Total cost function,c = (30+5x)²

c=(30+5x)(30+5x)

=900+300x+25x²

Therefore, Fixed Cost, =900

Marginal Cost Function

This is the derivative of the cost function.

If c(x)=900+300x+25x²

Marginal Cost, c'(x)=300+50x

(c)Profit Function

Profit, P(x)=R(x)-C(x)

=(580x-10x²)-(900+300x+25x²)

=580x-10x²-900-300x-25x²

P(x)=280x-900-35x²

(d)To maximize profit, we take the derivative of P(x) in (c) above and solve for its critical point.

Since P(x)=280x-900-35x²

P'(x)=280-70x

Equate the derivative to zero

280-70x=0

280=70x

x=4

The number of cakes that maximizes profit is 4.

5 0

2 years ago

Jordan is cutting a 2 meter by 1 1/4 meter into two pieces by its diagonal line

Airida [17]

Question:

Jordan is cutting a 2 meter by $1\frac{1}{4}$ meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?

Answer:

Area of each piece of paper is $1 \frac{1}{4} \ m^2$ .

Solution:

Length of the paper = 2 m

Width of the paper = $1\frac{1}{4}$ m = $\frac{5}{4}$ m

<em>Area of the rectangle = length × width</em>

$$=2\times \frac{5}{4}$

$$= \frac{5}{2} \ m^2$

<em>Diagonal of a rectangle divides it into two equal parts.</em>

Area of each piece = Area of the rectangle ÷ 2

$$=\frac{ \frac{5}{2}}{2}$

$$=\frac{5}{4} \ m^2$

$$=1 \frac{1}{4} \ m^2$

Area of each piece of paper is $1 \frac{1}{4} \ m^2$ .

7 0

3 years ago

Mika read a 405 page book in 6 hours. how many pages per minute did she read?

Annette [7]

Answer:

1.125 pages per minute

Step-by-step explanation:

Mika read a 405 page book in 6 hours.

6 hours is equivalent to

6 × 60 minutes = 360 minutes

Number of pages read per minute = 405/360

= 9/8 = 1.125 pages

Mika read 1.125 pages per minute.

5 0

3 years ago

Andy is hanging wallpaper in his kitchen. He is able to cover 2 2/5 of the walls in the room using 6 rolls of wallpaper. What is

faltersainse [42]

Answer: The number of rolls of paper is $2\dfrac{1}{2}$ .

Step-by-step explanation: Given that Andy is hanging wallpaper in his kitchen. 6 rolls of wallpaper is used to cover $2\dfrac{2}{5}$ of the walls.

We are to find the number of rolls of paper used per wall.

We will be using unitary method to solve the given problem.

We have,

$2\dfrac{2}{5}=\dfrac{12}{5}.$

Now, number of rolls used to cover $\dfrac{12}{5}$ of the walls = 6.

Therefore, number of rolls used to cover 1 wall is given by

$\dfrac{6}{\frac{12}{5}}=\dfrac{5\times 6}{12}=\dfrac{5}{2}=2\dfrac{1}{2}.$

Thus, $2\dfrac{1}{2}$ rolls of paper used per wall.

3 0

3 years ago

Read 2 more answers