A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal?

Answer:

1. 1/2 6/10 2/3 4/5

2. 3/10 1/3 1/2 3/5

3. 1/10 1/5 1/3 2/4

Step-by-step explanation:

Hope this helps! :)

Answer:

so if PT=TQ and TQ=7x-9

PT=5x+3=TQ=7x-9

5x+3=7x-9

minus 5x both sides

3=2x-9

add 9 both sides

12=2x

divide 2

6=x

PT=5x+3

PT=5(6)+3

PT=30+3

PT=33

PT=QT=33

x=6

Step-by-step explanation:

Answer:

g + 3d

Step-by-step explanation:

aaaaaaaaaaaaaaaaaa

An expression for the cost of a seven-line ad is g + 3d.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.

Given:

A local newspaper charges g dollars for a four-line classified ad.

Each additional line costs d dollars.

An expression for the cost of a seven-line ad is,

= g + 3d

Therefore, the expression is g + 3d.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ2

money would she have at the end of vacation = 377,789,318,629,571,617,095.67 dollars.

When interest is applied to a principal amount together with the interest that has already been paid, this process is known as compounding. This means that compounding, sometimes known as the "wonder of compounding," can be thought of as interest on the compound, which has the effect of increasing returns from interest over time.

Current good compounding practices refer to the minimal requirements for the procedures, facilities, and controls used to compound medicine to ensure that it has the identity, and strength, and satisfies the quality and purity requirements it is claimed to have.

She puts in one penny the first day, 2 pennies the second, 4 pennies the third...and so on.

The total sum is thus,

(1, 3, 7, 15, 31, 63, 127)

Which translate to

(2^1-1, 2^2-1, 2^3-1, 2^4-1, 2^5-1, 2^6-1, 2^7-1,..)

So at the end of the 75th day, the total amount is 2^75-1

or

37778931862957161709567 pennies

or

377,789,318,629,571,617,095.67 dollars.

money would she have at the end of vacation =  377,789,318,629,571,617,095.67 dollars.

To know more about compounding visit:

https://brainly.com/question/18958915

#SPJ4

I understand that the question you are looking for is:

Your friend is saving pennies. She puts one penny into her piggy bank the first day, two pennies the second day, four the third day, and so on, doubling the number of pennies added. How many much money would she have at the end of vacation, if she could keep saving at this rate? Vacation lasts 75 days.

The shadow cast by a 400-ft-tall building is increasing at a rate of approximately 100 ft/h when the angle of elevation of the sun is π/6.

Let's consider the situation at a specific moment when the angle of elevation of the sun is π/6. We can assume that the shadow cast by the building forms a right triangle with the building and the ground. The height of the building corresponds to the side opposite to the angle of elevation, and the length of the shadow represents the adjacent side.

The rate at which the angle of elevation of the sun is decreasing is given as 0.25 rad/h. This means that for each hour that passes, the angle decreases by 0.25 radians. Since we're interested in the rate at which the shadow is increasing, we need to find the derivative of the shadow length with respect to time.

Let's denote the length of the shadow as S and the time as t. We know that tan(π/6) = 400/S, as tangent is defined as the ratio of the opposite side (400 ft) to the adjacent side (S). By differentiating this equation with respect to time, we can find the rate at which the shadow is increasing:

\(sec^2(\pi /6) * d(\pi /6)/dt = -400/S^2 * dS/dt\)

Simplifying this expression, we can substitute the given values:

\(1/3 * (-0.25) = -400/S^2 * dS/dt\)

Rearranging the equation to solve for dS/dt, we get:

\(dS/dt = (-1/3 * (-0.25) * S^2) / (-400)\)

Substituting S = 400 ft and simplifying, we find:

dS/dt ≈ 100 ft/h

Therefore, the shadow cast by the building is increasing at a rate of approximately 100 ft/h when the angle of elevation of the sun is π/6.

Learn more about tangent here: https://brainly.com/question/10053881

#SPJ11

Answer:

Number 2

Step-by-step explanation:

Number two. Okay?

Answer:

After Rajesh took 493 stones, you would have 471 stones left.

Step-by-step explanation:

If you started with 964 stones and Rajesh took 493 stones, then you would have 964 - 493 = 471 stones left.

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

for such more question on scale factor

https://brainly.com/question/3381225

#SPJ8

To apply the Gram-Schmidt orthonormalization process, we will first normalize the first vector in the basis.

Let's start with u₁ = (4, 3)

Step 1: Normalize u₁

The normalized version of u₁, denoted as v₁ can be calculated as follows:

v₁ = u₁ / ||u₁||

where ||u₁|| is the magnitude of u₁.

||u₁|| = sqrt(4^2 + 3^2) = 5

Therefore,

v₁ = u₁ / 5 = (4/5, 3/5)

Step 2: Find u₂

To find u₂, we subtract the projection of u₂ onto v₁ from u₂.

u₂ = (1, 0)

proj(v₁,u₂) = (u₂·v₁)v₁ = ((4/5, 3/5)·(1, 0))(4/5, 3/5) = (4/5, 0)

u₂ - proj(v₁,u₂) = (1, 0) - (4/5, 0) = (1/5, 0)

Step 3: Normalize u₂

We now need to normalize u₂ to obtain v₂.

||u₂|| = ||(1,0)|| = 1

v₂ = u₂ / ||u₂|| = (1/1, 0/1) = (1, 0)

Step 4: Find u₃

To find u₃, we subtract the projections of u₃ onto both v₁ and v₂ from u₃.

u₃ = ?

Since there are no more vectors given in the basis b, we cannot find u₃. The given basis only spans a subspace of R² that has dimension 2. An orthonormal basis for that subspace is {v₁, v₂}.

Learn more about vectors from

https://brainly.com/question/28028700

#SPJ11

Answer:

4 1/6 or 4 2/12 pounds

Step-by-step explanation:

Using p-hat formula and probability,

we get

a) Sampling distribution of p-hat = 0.02029286

b)The probability that in a random sample of 500 adults more than 30% do not own a credit card is

=0.3121

c) The probability that in a random sample of 500 adults between 25% and 30% do not own a credit card is 0.6635

We have given that

29% of adults do not own a credit card according to creditcard.com.

a) Sample size (n) = 500 of adults have own credit card

sample proportion, for the adults do not own a credit= 29% = 0.29

Normal distribution exits here with p

= 1-0.29=0.71 and

Standard error (p-hat) =sqrt(p(1-p)/n)

=sqrt(0.71× 0.29/500)

p-hat = 0.02029286

b) Now, more than 30% do not have own credit card.

P(p-hat>0.3) = P((phat- p)/sqrt(p×(1-p)/n) >(0.3-0.29)/sqrt(0.29× (1-0.29)/500))

=P(Z>0.49) =0.3121 (from standard normal table)

c) Sample size (n) = 500 and p-hat lies between 25% to 30% .

P(0.25<phat<0.3)

= P((0.25-0.29)/sqrt(0.29*(1-0.29)/500) <Z< (0.3-0.29)/sqrt(0.29*(1-0.29)/500))

=P(-1.97<Z<0.49)

=0.6635 (from standard normal table)

Hence, we calculated all the required probabilities.

a) p-hat = 0.02029286

b) P(p-hat>0.3) =0.3121

c) P(0.25<phat<0.3) =0.6635

To learn more about Standard error or p-hat , refer:

https://brainly.com/question/12360461

#SPJ4

Complete question:

According to creditcard.com, 29% of adults do not own a credit card.

a. Suppose a random sample of 500 adults is asked, "Do you own a credit card?" Describe the sampling distribution of p-hat, the proportion of adults who own a credit card.

b. What is the probability that in a random sample of 500 adults more than 30% do not own a credit card?

c. What is the probability that in a random sample of 500 adults between 25% and 30% do not own a credit card?

Answer:

\(m = -32\)

Step-by-step explanation:

Let x = days and y = box of cookies

So, we have:

\((x_1,y_1) = (0,228)\) -- When she started

\((x_2,y_2) = (4,100)\) --- After 4 days

Required

Determine the slope

The slope (m) is calculated using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{100 - 228}{4 - 0}\)

\(m = \frac{-128}{4}\)

\(m = -32\)

The slope is -32

Answer:

C. QRT and TRQ

Answer:

\(-50\)

Step-by-step explanation:

In the \(1\text{st}\) month the balance will be \(-50(1) +100\) which is \(50 \). In the \(2\text{nd}\) month, the balance will be \(-50(2) +100\) which is \(0 \). In the \(3\text{rd}\) month, the balance will be \(-50(3) +100\) which is \(-50\).

We can see that for every increase of \(1\) month, the balance of the bank account will decrease by \(50\).

Companies that adopt broadbanding for pay ranges can have variances as great as 400% between the lowest and highest paid employees within the same band.

Broadbanding is a compensation strategy where companies consolidate multiple narrow pay ranges into broader bands. These bands encompass a wider range of jobs and allow for more flexibility in setting compensation.

Within a broadbanding system, the variance between the lowest and highest paid employees in the same band can be as high as 400%. This means that employees within a single band can have significantly different levels of compensation based on factors such as performance, experience, skills, and responsibilities.

The broader pay bands in broadbanding provide organizations with the ability to reward high performers and retain top talent by offering higher compensation within the band. It also allows for more career progression opportunities and reduces the administrative burden of managing numerous narrow pay ranges. However, it's important to note that the actual variance within a broadbanding system can vary from company to company and may depend on factors like industry norms, company size, and overall compensation philosophy.

Learn more about Broadbanding here:

https://brainly.com/question/27820291

#SPJ11

The correct answer for the statement mass production focuses on producing given by option c) a limited variety of products.

Mass production is a manufacturing approach that aims to produce a large quantity of standardized products.

It focuses on the efficient production of a limited range of products, typically in large quantities.

This approach allows for economies of scale, streamlined processes, and cost-effective production methods.

The emphasis is on producing a high volume of identical or similar products rather than customized or specialized items.

Therefore, the focus of mass production in production is represented by option c. a limited variety of products.

Learn more about mass production here

brainly.com/question/31042165

#SPJ4

The elasticity of labor refers to the responsiveness of the quantity of labor supplied to changes in the wage rate. If the elasticity of labor is 0.60, a 15 percent increase in the wage rate will induce a decrease in the quantity of labor supplied, but the extent of this decrease will depend on the magnitude of the elasticity. The correct option is c.

In this case, a 0.60 elasticity implies that a 15 percent increase in the wage rate will result in a 9.0 percent decrease in the quantity of labor supplied. This can be calculated using the formula for elasticity, which is the percentage change in quantity divided by the percentage change in price (or wage rate, in this case):

Elasticity of labor = percentage change in quantity / percentage change in wage rate

0.60 = percentage change in quantity / 15 percent

Percentage change in quantity = 0.60 x 15 percent = 9.0 percent

Therefore, the correct answer is (c) a 9.0 percent decrease in the quantity of labor supplied. This means that as the wage rate increases, workers may be less willing to supply labor, resulting in a decrease in the number of workers willing to work at that wage rate.

To know more about elasticity, refer to the link below:

https://brainly.com/question/30610639#

#SPJ11

Answer:

100998 is the answer.

I hope this help u.

Answer:

100998

Step-by-step explanation:

₁ ₁ ₁ ₁ ₁

99999

+   999

100998

you can also think of it as

99999(+1) + 999(-1)

100000+998

100998

Answer:

5

Step-by-step explanation:

5 is the GCF, because all 3 of those numbers can be divided by 5! Hope this helped!

From all the factors, we can see that 5 is the only common factor, hence the greatest common factor of 20, 30, and 55 is 5

For us to get the greatest common factor of 20, 30, and 55, we need to get their individual factor first as shown:

20 = 5 * 4

30 = 5 * 6

55 = 5 * 11

From all the factors, we can see that 5 is the only common factor, hence the greatest common factor of 20, 30, and 55 is 5

Learn more: brainly.com/question/219464

Total cost of cement that Marcus has to pay is $6.5.

What is volume?

Volume could be a measure of occupied three-dimensional area. it's usually quantified numerically using SI derived units or by numerous imperial or North American country customary units.

Main body:

According to question:

Length of concrete patio = 15 ft

Width of patio = 9 ft

Height of patio = 3 inches

So first we need to convert inches into ft.

we know that ,

12 inches = 1 ft.

3 inches = (1/12)*3

3 inches = 1/4 ft

Volume of concrete patio = l*b*h

volume = 15*9*1/4

            = 33.75 cubic ft.

Now we need to convert feet into yard as cost is given in cubic yard

1 cubic foot  =  0.03704 cubic yards

33.75 cubic foot = 0.03704 * 33.75

                           = 1.2501 cubic yards

So cost of cement = total volume * cost of cement sack

               cost = 1.25 * 5.2

cost = $6.5

Hence the total cost to Marcus is $6.5

To know more about volume click on the link below

https://brainly.com/question/12410983

#SPJ4

Answer:

B, 3

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

took test

Answer:

+ 7

Step-by-step explanation:

To find the nth term rule simply we just have to find the difference between the numbers

Difference between numbers

The difference between all our numbers is 7!

Hope this helps, have a lovely day! :)

Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation:

The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

Learn more about domain of function here: https://brainly.com/question/28934802

#SPJ1

Step 1

Let the length in minutes of Tika's class be m

His class had lasted already for 18 minutes

His class had 37 more minutes to end.

Step 2

Get the equation

Hence the answer is option B ------ ( m - 37 = 18)

If the inflation rate is 180%, the average prices will double in less than one year.

This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate

In this case, the inflation rate is 180%.

Therefore:Years to double = 70/180%

Years to double = 0.389 years

This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).

Learn more about inflation rate at

https://brainly.com/question/31635911

#SPJ11

The height of the tower is 969 feet.

Let CD be the tower and A be the point from a window in the building, a person determines that the angle of elevation to the top of the tower is 42 degrees.

In triangle AED

tan42° = ED/AE

tan42° = h₁/615

h₁ = tan42° × 615

= 553.74

Rounding to the nearest integer

h₁ = 554

In triangle AEC

tan34° = EC/AE

tan34° = h₂/615

h₂ = tan34° × 615

= 414.82

Rounding to the nearest integer

h₂ = 415

Height of tower = EC + ED

= h₁ + h₂

= 554 + 415

= 969

Therefore, the height of the tower is 969 feet.

Learn more about angle of elevation here:

brainly.com/question/21137209

#SPJ4

The probability that more than 210 people will pass in front of his store is 0.2272.

In the question, we are given that a coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00 A.M to 7:30 A.M.

We are asked to find the probability that more than 210 people will pass in front of his store if the mean number of customers during this time is 210.

This experiment follows a Poisson Distribution with a mean (λ) = 200, and the random variable X = 210.

To find the probability that more than 210 people will pass in front of his store, we will find P(X > 200).

P(X > 200) = 1 - P(X ≤ 210).

Now, P(X ≤ 210) can be calculated using the function poissoncdf(200,210) on the calculator.

As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).

The value of poissoncdf(200,210) = 0.77271.

Thus, the value of P(X > 210) = 1 - 0.77271 = 0.22729.

Thus, the probability that more than 210 people will pass in front of his store is 0.2272.

Learn more about Poisson Distribution at

https://brainly.com/question/7879375

#SPJ4

Answer:

c

Step-by-step explanation: