Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you 75 cents for selling the first subscription. For each additional subscription sold, the magazine company will pay you 5 cents more than what was paid for the previous subscription. How much will you earn by selling 150 magazine subscriptions?

Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

Answer:

The answer is 22g

Step-by-step explanation:

First combine 12g+4g and you get 16g

Then combine 16g+6 and you get 22g

The relative price is a useful measure for comparing the prices of different products or services, especially in the context of consumer preferences and demand.

Relative price refers to the price of a particular product or service in relation to other goods or services in the market.

It is calculated as the ratio of the price of a given product or service to the price of a reference product or service, commonly referred to as a base good or service.

Let the price of a pair of shoes be $5 and the price of a box of tea be $3.

Then the relative price of a pair of shoes is given by:

Relative price of shoes = Price of shoes / Price of tea

= $5 / $3

= 1.67

Thus, the relative price of a pair of shoes is 1.67.

Similarly,

The relative price of a box of tea can be calculated as follows:

Relative price of tea = Price of tea / Price of shoes

= $3 / $5

= 0.6

Therefore, the relative price of a box of tea is 0.6.

This means that the price of tea is relatively cheaper than that of shoes, as its relative price is less than one.

The relative price of shoes is greater than one, which indicates that shoes are relatively more expensive than tea.

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Answer:

the anwser is A Because is askibg the age of the student

The median of the given set of numbers is -13.5.

To find the median of a set of numbers, you need to arrange them in ascending order and then determine the middle value. If there is an even number of values, the median is the average of the two middle values.

Let's arrange the numbers in ascending order:

-18, -18, -14, -13, 12, 13, 14, 16

The set has 8 elements, so it has an even number of values. The middle two values are -14 and -13. To find the median, we take the average of these two values:

Median = (-14 + -13) / 2 = -27 / 2 = -13.5

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Answer:

ratio = 21:15

Step-by-step explanation:

Paul's sister is 6 years younger than Paul so that means if Paul is 21, 21 - 6 = 15. Your new ratio would be 21:15

21:15 written as simply as possible is 10.5:7.5 or 11:8

I'm sorry if you get it wrong :(

Answer:

7:6 I believe is it's simplest form

Answer:

6

Step-by-step explanation:

4 time one is 1

plug in 1 for m

and you got 4 - -2

witch both negatives make a positive

The area of the drawing as required to be determined in the task content is; 71.25 m².

It follows from the task content that the area of the drawing is to be determined according to the given parameters.

Since the actual rectangular shape has dimensions 95m by 75m. Upon drawing using a scale of 1m to 10m.

It follows that the dimensions of the drawing becomes; 95/10 by 75/10.

Hence, since the dimension of the drawing by evaluation is; 9.5 by 7.5;

The area of the rectangle (A = l × b) is; 9.5 × 7.5 = 71.25 m².

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Answer:

\(x=12(\sqrt2-1)\)

Step-by-step explanation:

The given equation is :

\(\sqrt{2} x-7+x=5\)

Add 7 to both sides of the equation.

\(\sqrt{2} x-7+x+7=5+7\\\\\sqrt{2} x+x=12\)

Taking x common from both sides of the equation.

\(x(\sqrt{2} +1)=12\\\\x=\dfrac{12}{\sqrt2+1}\)

Multiplying both numerator and denominator by \(\sqrt2-1\)

\(x=\dfrac{12}{\sqrt2+1}\times \dfrac{\sqrt2-1}{\sqrt2-1}\\\\=\dfrac{12(\sqrt2-1)}{2-1}\\\\=12(\sqrt2-1)\)

Hence, the value of x is \(12(\sqrt2-1)\).

Answer:

$160

Step-by-step explanation:

Step one:

It costs $100 to rent the bowling alley

plus $4 per person

the expression for the cost is

\(C=100 + 4n\)

where n is the number of people

for n= 15

Step two:

let us substitute

\(C= 100+4(15)\\\\C= 100+60\\\\C= 160\)

First let's calculate the number of students who will buy lunch 5 times next week and it is given by:-

So 175 students will buy lunch 5 times.

Similarly let's find number of students who will buy lunch 4 times

75 students will buy 4 times

Similarly on calculation we get 50 students will buy 3 times, 50 students will buy 2 times , 90 students will buy 1 time.

So total number of lunches that will be sold will be

So total 1,515 lunches will be sold .Hence the correct option is (A).

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

X = 40

Step-by-step explanation:

A triangle has 180 degrees, and considering that triangle ABC is similar to DEF that means that they have the same angles (A=D, B=E, C=F)

180 = 104 + 36 + x

180 = 140 + x

180-140 = x

40 = x

Answer:

Step-by-step explanation:

line 1.

y=3

line 2.

x=-1.2

line 3.

x=3

line 4.

y=-2.6

length=3-(-1.2)=3+1.2=4.2

width=3-(-3)=3+3=6

area=4.2×6=25.2

y ( x) =  \(C_{1} e^{-2x} + C_{2} e^{-2x} + x^{2} - 5 x + \frac{9}{2}\) is the result of solving the subsequent differential equation with unknown coefficients.

One or more functions and [some of] their derivatives are connected by a differential equation. The [first] derivative of the function with respect to the variable is illustrated in the following example. Differentials are a term used to describe the and elements.

given

1/4 y'' + y' + y = x2 − 3x

The auxilary equation is

1/4 \(m^{2}\) + m + 1 = 0

\(m^{2}\) + m + 1 = 0

\(( m- 2)^{2}\) = 0

m = -2 , -2

= A =1 , 2A+ B = -3 , 1/2A + B = 0

A = 1 , B = - 5 , C = 9/ 2

Then the general solution is

y = yc + yp

y ( x) =  \(C_{1} e^{-2x} + C_{2} e^{-2x} + x^{2} - 5 x + \frac{9}{2}\) is the result of solving the subsequent differential equation with unknown coefficients.

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The type of isometry is shown, there are orientations with the same; rotation. The correct answer would be an option (C).

Any isometry in the plane is a miracle combination of a rotation, a reflection, and a translation. In three dimensions, the issue becomes a little more difficult since each isometry is a combination of a translation, a reflection, and a rotation about a particular axis.

The figure on the right is an isometry of the figure on the left.

As per the question,

The type of isometry is shown, there are orientations with the same and rotation.

Hence, the correct answer would be option (C).

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C) the equation can be written as:y = mx + b. D) The slope can be interpreted as a measure of the association between the use of marijuana and other drugs.

c) Write the equation you would use to estimate the percentage of teens who use Other Drugs from the percentage who have used Marijuana.The equation to estimate the percentage of teens who use Other Drugs from the percentage who have used Marijuana is given by the formula:y = mx + bwhere y represents the estimated percentage of teens who use Other Drugs and x represents the percentage of teens who have used Marijuana.

The slope, m, represents the proportion of teens who have used other drugs after using marijuana, and b represents the percentage of teens who use Other Drugs when the percentage who have used Marijuana is 0.

Therefore, the equation can be written as:y = mx + b

Where x represents the percentage of teens who have used Marijuana, m represents the proportion of teens who have used other drugs after using marijuana, and b represents the percentage of teens who use Other Drugs when the percentage who have used Marijuana is 0.

d) Explain in context what the slope of this line means.The slope of this line represents the proportion of teens who have used other drugs after using marijuana. That is, if a certain percentage of teens have used marijuana, the slope of the line estimates the percentage of teens who have used other drugs.

In other words, the slope indicates how much more likely teens are to use other drugs after using marijuana. A positive slope would indicate that more teens use other drugs after using marijuana, while a negative slope would indicate that fewer teens use other drugs after using marijuana.

The slope can be interpreted as a measure of the association between the use of marijuana and other drugs.

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Step-by-step explanation:

2x-6: 6x-4

Use any value to represent x

Let's use 1

2(1)-6: 6(1)-4

2-6 : 6-4

-4 : 2

Write in simplest form by dividing by 2

-2:1

Now do the same in all the answers above, use 1 for the value of x

1. - 2:1 is equivalent

2. 1-3 : 3(1)-2 = - 2:1 Equivalent

3. 3(1) : 1 = 3 :1 not equivalent

4. 4(1) - 12 : 12(1) - 8 = - 8 : 4 (

Simplify by dividing by 4, you get - 2 :1 equivalent

5. 1-1 : 1 - 2 = 0 : - 1 not equivalent

Answer:

Step-by-step explanation:

It's gonna be true in just trust me when i say that im that guy

Answer:

true

Step-by-step explanation:

Answer:

$43.20 is the answer

Step-by-step explanation:

I just did it

Answer:

Step-by-step explanation:

V=1/3 π 10²×9=300 π cm³

Answer:

300pi cm³

Step-by-step explanation:

Use the formula to find the volume of the cone: (pi)r²(h÷3)

Hope this helps :)

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

no, it's 1.2

Step-by-step explanation:

the pH of the solution is approximately 4.27.

To determine the pH of a 4.543 M solution of HCN (hydrogen cyanide) with a Ka of 6.2 x 10^-10, we need to consider the dissociation of HCN into H+ and CN- ions.

The dissociation reaction of HCN can be represented as follows:

HCN + H2O ⇌ H3O+ + CN-

We can assume that the dissociation of HCN is small compared to the initial concentration of HCN, so we can neglect the change in concentration of HCN and assume it remains approximately 4.543 M.

The equilibrium expression for the dissociation of HCN is:

Ka = [H3O+][CN-] / [HCN]

Since the concentration of HCN is the same as the initial concentration, we can substitute it into the equilibrium expression:

Ka = [H3O+][CN-] / 4.543

We can rearrange the equation to solve for [H3O+]:

[H3O+] = (Ka * 4.543) / [CN-]

Given that the concentration of CN- is equal to the concentration of [H3O+] due to the 1:1 ratio of the dissociation reaction, we can substitute the concentration of [H3O+] for [CN-]:

[H3O+] = (Ka * 4.543) / [H3O+]

Now, we solve for [H3O+]:

\([H3O+]^2 = Ka * 4.543\)

[H3O+]^2 = (6.2 x 10^-10) * 4.543

[H3O+]^2 = 2.829 x 10^-9

Taking the square root of both sides:

[H3O+] = √(2.829 x 10^-9)

[H3O+] ≈ 5.321 x 10^-5 M

Finally, to find the pH, we can use the equation:

pH = -log[H3O+]

pH = -log(5.321 x 10^-5)

Using a calculator, the pH of a 4.543 M solution of HCN is approximately 4.27.

Therefore, the pH of the solution is approximately 4.27.

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True. The equation

x = p + tv

describes a line through vector v parallel to vector p.

The equation x = p + tv represents a parameterized line equation, where x, p, and v are vectors, and t is a scalar parameter. In this equation, p represents a point on the line, and v represents the direction or slope of the line.

By adding the scalar multiple tv to the point p, we can obtain various points along the line. The scalar t determines the position of each point relative to the point p. As t varies, the resulting points lie on a line that is parallel to vector p and passes through vector v.

Therefore, the statement is true. The equation

x = p + tv

describes a line through vector v parallel to vector p.

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