1) Suppose you buy a laptop costing $1850 at a store charging 12% add-on interest, and you make a $500 down payment.

Answer:

Yes

Step-by-step explanation:

The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.

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Answer:

the 1st 2nd and 5th since if there is even one negative in the fraction it makes the whole fraction negative

Answer:

x<4 and x>1

Step-by-step explanation:

1) 3x-4<8

Add 4 to both sides first to isolate x.

3x-4<8

  +4 +4

3x<12

Divide both sides by 3.

3x<12

/3  /3

x<4

2) 2x+2>4

Subtract both sides by 2 to isolate x.

2x+2>4

   -2  -2

2x>2

Divide both sides by 2.

2x>2

/2  /2

x>1

Hope this helped!! Have an amazing day :3

Answer:

a) x = 798   is the quantity that maximizes the profit

b)po(x) = 401 $/unit

c)P(max ) = 636105 $

Step-by-step explanation:

The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:

R(x) = p(x) * x

R(x) = ( 800 - 0,5*x ) * x

R(x) = 800*x - 0,5*x²

The equation for the profit is:

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

P(x) = 800*x - 0,5*x² - ( 300 + 2*x)

P(x) = 798*x - 0,5*x² - 300

a) P(x) = 798*x - 0,5*x² - 300

Taking derivatives on both sides of the equation:

P´(x) = 798 - x

If P´(x) = 0     then    798 - x = 0

x = 798   is the quantity that maximizes the profit

b) Selling price for the optimal quantity is:

p(x) = 800 - 0,5*x

p(x) = 800 - 0,5* 798

po (x) = 800 - 399

po(x) = 401 $/unit

c) Pmax = ?

P(x) = 798*x - 0,5*x² - 300    by subtitution of  x = 798

P(max) = 636804 - 399 - 300

P(max ) = 636105 $

a) The quantity that will maximize profit is [tex]100 \ units[/tex].

b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.

c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].

A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.

The given demand function,

[tex]P=800-\frac{1}{2}x[/tex]

So, the revenue function is,

[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]

[tex]\Rightarrow[/tex]Average cost is

[tex]\bar{C}=300+2x[/tex]

So, the total cost function is,

[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]

a) Profit function:

[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]

For maximum,

[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]

b) Selling Price:

[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]

c) Maximum Profit:

[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]

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Answer:

10 times bigger

Step-by-step explanation:

because if you do 4 times 300 thats 1200

and if you do 4 times 30 then you get 120

and 120 times 10 is 1200 so there you go.

HOPED THIS HELPED!!!!!!!!! :D

Answer: Total cost for 1 ride = $11. Total cost for 2 rides = $14. Total cost for 3 rides = $17. Total cost for 4 rides = $20. Total cost for 5 rides = $23

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

They killed quite a bit and a lot were left.

Answer:

61

Step-by-step explanation:

==================================================

Work Shown:

a = smallest integer = 35

b = largest integer = 95

c = number of integers between 'a' and 'b' (including both endpoints)

c = b-a+1

c = 95-35+1

c = 61

The +1 is to count the starting value.

Consider the set {1,2,3,4,5}. If we don't have the +1, then we would have 5-1 = 4, but there are actually 5 items here. So we add 1 to fix this.

Answer:

Step-by-step explanation:

18900 divided by 10 = 1890

1890 divided by 2 is 945

945 is 5 percent of 18900

18900 + 945 = 17955

Answer = 19845

Answer:

Step-by-step explanation:

alternate angles are equal

see attached

The measure of ∠1 is 33° .

When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.

According to the question

As given , lines A and B are parallel lines

therefore ,

∠1 = 33°  

∠3 = 57°

they are between parallel line and opposite of transversal line

So, they are alternate interior angles and are equal .

Hence, The measure of ∠1 is 33°  .

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Answer:

area: 153.86

Circumference: 43.96 :D

Step-by-step explanation:

Answer:

c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large

Step-by-step explanation:

The law of large numbers is a statistical law, that states : As sample size grows, the sample mean tends to go closer to whole population mean.

So, the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large

Answer:

-2( 7x+4)

Step-by-step explanation:

-14x - 8

Factor out -2

-2*7x -2*4

-2( 7x+4)

Answer:

Step-by-step explanation:

[tex] - 14x - 8[/tex]

Write -8 as -4×2

[tex] - 14x + 2 \times 4[/tex]

Factor out common term : 2

[tex]2( - 7x - 4)[/tex]

Step-by-step explanation:

you you can state that angles in a triangle add up to 180° and 180 degrees - 90 + 60 is equals to 30 degrees

Answer:

A.

Step-by-step explanation:

Step-by-step explanation:

ummm where is the pic? like bruh

Answer:

48 cm

Step-by-step explanation:

Multiply 4x2x6 and get the answer of 48 cm.

Step-by-step explanation:

The total number of people mentioned in this problem is 15. 15 will be the denominator for the probability in fraction form. The sum of the # of people that include lifeguards and managers will be the numerator.

Therefore, the probability that the person picked is either a manager or a lifeguard is 10/15 [because there are 2 managers and 8 lifeguards; 2 + 8 =10].

Fraction form of probability: 10/15

Decimal form: 0.6 repeated

Percent form: about 66.67%

The probability that person is either a lifeguard or manager is 2/3.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

There are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people.

Total = 2 + 8 + 3 + 2 = 15

So, P(lifeguard) = 8/15, P(Manager) = 2/15.

Then, P ( lifeguard or Manager)

= 8/15 + 2/15

= 10/15

= 2/3.

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Answer:

18%

Step-by-step explanation:

24-18% is 19.68 which means it took away $4.32.

Answer:

3.5 yd is your answer

Step-by-step explanation:

First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.

Divide the amount of inches you have with 12.

126/12 = 10.5

Next, solve for yards. It is given to you that 1 yard = 3 feet.

Divide the amount of feet you have with 3.

10.5/3 = 3.5

3.5 yd is your answer

Answer:

y = 4/5x -1/5

Step-by-step explanation:

4x -5y = 1

-5y = -4x + 1

5y = 4x - 1

y = 4/5x - 1/5

Answer:

Wow that is great

Step-by-step explanation:

is there a question? uhhhmmmmm

Answer:

Letter B

Step-by-step explanation:

Answer:

I belive the answer is B

Step-by-step explanation:

Answer:

it is 0.125

Step-by-step explanation:

......................

Answer:

[tex]f(0)=-2\\f(1)=e-1[/tex]

Step-by-step explanation:

According to intermediate value theorem, if a function is continuous on an interval [tex][a,b][/tex], and if [tex]k[/tex] is any number between [tex]f(a)[/tex] and [tex]f(b)[/tex], then there exists a  value, [tex]x=m[/tex], where [tex]a<m<b[/tex], such that [tex]f(m)=k[/tex]

In the given question,

Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.

Here,

[tex]f(x)=e^x-3+2x[/tex]

Put [tex]x=0[/tex]

[tex]f(0)=e^0-3+2(0)=1-3+0=-2[/tex]

Put [tex]x=1[/tex]

[tex]f(1)=e^1-3+2(1)=e-3+2=e-1[/tex]

Answer/Step-by-step explanation:

Score 1:

3, 7, 5, 4, 5, 6, 7, 8, 6, 5

Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]

Median: order the data from least to the greatest.

3, 4, 5, 5, 5, 6, 6, 7, 7, 8

The median is average of the fifth and sixth data value in the data set

Median = (5 + 6)/2 = 11/2 = 5.5

Mode = value with the highest frequency = 5

Score 2:

34, 54, 17, 26, 34, 25, 14, 24, 25, 23

Mean = sum of all values/10

Mean = 276/10 = 27.6

Median: order the data set from min to max.

14, 17, 23, 24, 25, 25, 26, 34, 34, 54

The median is average of the fifth and sixth data value in the data set

Median = (25 + 25)/2 = 50/2 = 25

Mode = 25 and 34 (both have frequencies of 2)

Score 3:

154, 167, 132, 145, 154, 145, 113, 156, 154, 123

Mean = sum of all values/10

Mean = 1443/10 = 144.3

Median: order the data set from min to max.

113, 123, 132, 145, 145, 154, 154, 154, 156, 167

The median is average of the fifth and sixth data value in the data set

Median = (145 + 154)/2 = 299/2 = 149.5

Mode = 154

Answer:

The final balance is $1,692.94.

The total compound interest is $392.94.

Step-by-step explanation:

1,300 x 0.045=___ x 6