A wireless carrier offers the following plans that a person is considering. The Family Plan: $90 monthly fee, unlimited talk and text on up to 8 lines, and data charges of $40 for each device for up to 2 GB of data per device. The Mobile Share Plan: $120 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $35 for each device up to a shared total of 10 GB of data. Use P for the number of devices that need data plans as part of their cost.Find the model of the total cost of the Family Plan.Find the model of the total cost of the Mobile Share Plan.Assuming they stay under their data limit, find the number of devices that would make the two plans equal in cost.If a family has 3 smart phones, which plan is more affordable?To earn full credit please identify your variables and expressions you will be using to solve the problem. Show all work/calculations and thinking for each of the 4 parts.

A Wireless Carrier Offers The Following Plans That A Person Is Considering. The Family Plan: $90 Monthly
A Wireless Carrier Offers The Following Plans That A Person Is Considering. The Family Plan: $90 Monthly

Answers

Answer 1

For the family plan:

Let:

y1 = Total cost

a1 = Charge for each device = 40

b1 = Monthly fee = 90

P = Number of devices

So:

The model for the family plan will be given by:

\(\begin{gathered} y1=a1P+b1 \\ y1=40P+90 \end{gathered}\)

For the Mobile share plan:

Let:

y2 = Total cost

a2 = Charge for each device = 35

b2 = Monthly fee = 120

P = Number of devices

The model for the mobile share plan will be given by:

\(\begin{gathered} y2=a2P+b2 \\ y2=35P+120 \end{gathered}\)

We can find the number of devices that would make the two plans equal in cost. Solving for:

\(\begin{gathered} y1=y2 \\ 40P+90=35P+120 \\ solve_{\text{ }}for_{\text{ }}P\colon \\ 40P-35P=120-90 \\ 5P=30 \\ P=\frac{30}{5} \\ P=6 \end{gathered}\)

The number of devices that would make the two plans equal in cost is 6.

If P = 3

\(\begin{gathered} y1=40(3)+90=210 \\ y2=35(3)+120=225 \end{gathered}\)

For 3 devices The family plan cost $210 and for 3 devices the mobile share plan cost $225, Therefore we can conclude that for 3 devices The family plan is more affordable.


Related Questions

Please I’m begging help me I don’t get this question I tried solving it these past 50 minutes ILL GIVE YOU BRAINLINEST

Please Im begging help me I dont get this question I tried solving it these past 50 minutes ILL GIVE

Answers

Answer:

Monday=275

Tuesday=330

thursday=360

Friday=440

Step-by-step explanation:

Add the entire number to itself since its above 100%

then figure out 10% of the number for  monday is 12.5 thats only ten so we gotta figure out 20% so 12.5x2=25

Hence its 125+125+25

250+25

275

This is for monday but this applies on all of them

In week 1 Marcus shot a total of 650 jump shots , if Marcus shot 120% more jump shots in week 2 that would mean he shot 780 jump shots in week 2
780 - 650 = 130 , 650 + 130 = 780
Marcus shot 130 more jump shots in week 2 compared to week 1.
Hope this helped

pls help i will mark brainliest......i have a time limit

pls help i will mark brainliest......i have a time limit
pls help i will mark brainliest......i have a time limit

Answers

Answer:

Hey there!

If angle one is congruent to angle two, all of the above is true.

Let me know if this helps :)

A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?

Answers

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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someone help me pls before i cry okay okay

someone help me pls before i cry okay okay

Answers

Answer:

22%

Step-by-step explanation:

First, determine the total: 2392 total surveys.

Next, determine the number of people who prefer Italian: 526

Solve:

526/2392 (This is will determine the percentage of people who prefer Italian food according to the pie chart)

= 0.2198...

Round

= 22%

Answer:

I'm going to say that it is 28% or 22%

Step-by-step explanation:

so they surveyed 2392 people and only 526 of them said that they would eat Italian food so you would do

2392- 526= 1866 then 526/1866=28%

but if that is wrong then you would just do

526/2392=22%

Which of the following expressions is equal to -1?
sec90°
sin180°
csc270°

Answers

Answer:

csc 270° is the answer.

The usher at a wedding asked each of the 80 guests whether they werea friend of the bride or of the groom. The results are: 59 for Bride, 50 for Groom, 30 for both. Given that the randomly chosen guest is the friend of groom, what is the probability that the guest is the friend of bride, P (bride | groom)

Answers

The probability that can be determined by the randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.

Given information is that, at a wedding, each guest asked the 80 guests if they were a friend of the bride or of the groom.

Probability is measured by the ratio of the number of favorable outcomes to the total number of outcomes of an event.

The total Number of Guests which forms the Sample Space, n(S)=80

Let the event for a friend of the bride=A

Let the event be for a friend of the groom=B

n(A) =59

n(B)=50

Friends of both bride and groom,

So,

n(A∪B)=n(A)+n(B)-n(A∩B)

n(A∪B)=59+50-30

n(A∪B)=79

The number of people or Guests who are the friends of the bride OR of the groom = 79

Thus,

P(A∪B)=n(A∩B)/n(S)

= 79/80

P(A∪B)= 0.9875

Therefore, the probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.

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NEED HELP ASAP

Factor completely

Please show steps

2(x^3+5x^2-2x^2y-10xy)

Answers

Step-by-step explanation:

2(x3+5x2−2x2y−10xy)

=(2)(x3+5x2+−2x2y+−10xy)

=(2)(x3)+(2)(5x2)+(2)(−2x2y)+(2)(−10xy)

=2x3+10x2−4x2y−20xy

=2x3−4x2y+10x2−20xy

What is the distance between -40 and 185

Answers

Answer:

225

Step-by-step explanation:

185-(-40)=

185+40=

225

Answer:   145

Step-by-step explanation:  -40+185=145 Your welcome :)

Mofor has homework assignments in five subjects. He only has time to do two of
them.

Answers

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Does the expression x^3-1 divided by x^2 -1 simplify to x?

Answers

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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równanie zmiany prędkość autokaru poruszającego się po prostym odcinku szosy i rozpoczynającego hamowanie od szybkości 20m/s ma postać v(t)=25-5t. Korzystając z rachunku całkowego wyznacz drogę hamowania autokaru.

Answers

Answer:

s = 22.5 m

Step-by-step explanation:

the equation for the speed change of a coach moving along a straight section of the road and starting braking at a speed of 20 m / s has the form v (t) = 25-5t. Using integral calculus, determine the coach's braking distance.

v (t) = 25 - 5 t

at t = 0 , v = 20 m/s

Let the distance is s.

\(s =\int v(t) dt\\\\s =\int (25 - 5t)dt\\\\s= 25 t - 2.5 t^2 \\\)

Let at t = t, the v = 20

So,

20 = 25 - 5 t

t = 1 s

So, s = 25 x 1 - 2.5 x 1 = 22.5 m

WHICH TWO CHOICES ARE EQUIVALENT TO THE FRACTION BELOW?

WHICH TWO CHOICES ARE EQUIVALENT TO THE FRACTION BELOW?

Answers

Answer:

option B, and D

Step-by-step explanation:

coz when u multiply 2/3 by 2/2, u wud get 4/6,

and when u divide 8/12 by 2/2, u wud agn get 4/6

Answer: 2/3 and 8/12

Step-by-step explanation: When we multiply or divide the numerator and denominator of a fraction by the same number, we get an equivalent fraction.

First write 4/6 in lowest terms by dividing both the numerator and the denominator by 2 to get the equivalent fraction 2/3.

Starting at 4/6 again, if we multiply the numerator and the denominator by 2, we get the equivalent fraction 8/12.

So our two equivalent fractions are 2/3 and 8/12.

It's important to remember the following rule: Whatever you do to the numerator of a fraction, you must also do to the denominator because if you don't, you're changing the value of the fraction.

what is the value of a

Answers

Answer:

The Value of a could be anything, as a represents a variable.

Answer: well if you had a pic i could help but if not then the value of a could be anything

Step-by-step explanation:

jenna is a professional typist. she can type 22,500 words in 5 hours of typing. in one hour, jenna can type blank words. in one minute, she can type blank words

Answers

In an hour, she can write 3,750 words and in one minute she can write 62.5

22,500/5 = 3,750
3,750/60 = 62.5

The point on the number line represents the value of a . What is the value of -a?_____What is the value of l-al? ______

The point on the number line represents the value of a . What is the value of -a?_____What is the value

Answers

The piont given on the number line is (4).

So,

\(a=4\)

The value of,

\(-a=-4\)

The length of a rectangular field is represented by the expression 14x-3x^2+2y . The width of the field is represented by the expression 5x-7x^2+7y . How much greater is the length of the field than the width?

Answers

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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what is 3/4-(-2/9) I need hekppp​

Answers

Graph y = 2.3 - 7.
y

AU
8+
7+
6+
5
CO
3+
2+
1+
MY
-9-8-7 -6 -5 4 -3 -2
1 2 3 4 5 6 7 8 9
Cou
-3
SA
-5-
-6-
-7-
-8
MY
Pra

Graph y = 2.3 - 7.yAU8+7+6+5CO3+2+1+MY-9-8-7 -6 -5 4 -3 -21 2 3 4 5 6 7 8 9Cou-3SA-5--6--7--8MYPra

Answers

Answer:

4b+7h+935*213

Step-by-step explanation:

x+3 6 ≥ x 4 + 1
which value of x is a solution to the inequality?

Answers

Step-by-step explanation:

alesfsia_ryan

soni5_62

Enter the ratio as a fraction in lowest terms.
5 ft to 70 in.

Answers

Answer:

1/14

Step-by-step explanation:

The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14

-2log (6x + 1) = -6.

Answers

the exact form is x = 333/2 the decimal form is x = 166.5

Determine the following ratio

Determine the following ratio

Answers

Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.

Which means that option D is correct.

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i have no idea how to do this

i have no idea how to do this

Answers

Hope this helps
Check out the attached photo
i have no idea how to do this
2x-10= 120
2x=130
Answer:65

help!! i added the attachment

help!! i added the attachment

Answers

P= 1
You do 15p+58=9p+64

Peter jacob and samatha are pilots. Peter flew 26097 miles. Jacob flew 30796 miles.How many more miles did Jacob fly than peter?

Answers

Jacob flew 4,699 more miles than Peter
30796-26097=4,699

What number goes on top?

What number goes on top?

Answers

Answer:

33

Step-by-step explanation:

each upper cell is the sum of the two cells under it. For example 4 and 5 make 9 so 16+17=33

How do you write 1.54 x 103 in a standard form?​

Answers

The answer could possibly be 1540

Sally sells popcorn for $1 and beverages for $2. What will be her total sales if 19 people each buy one bag of popcorn and one beverage?

Answers

Do 19(2)+19(1)

38+19 = $57 total

Answer:

$57

Step-by-step explanation:

multiply the amount of people with the proce amounts so:

19x1= 19 and 19x2=38

then add the two sums. 19+38 which equals to 57.

(or you can do 19+19(2) to get the same answer)

the managers of a company are worried about the morale of their employees. in order to determine if a problem in this area exists, they decide to evaluate the attitudes of their employees with a standardized test. they select the fortunato test of job satisfaction which has a known standard deviation of 24 points. they should sample employees if they want to estimate the mean score of the employees within 5 points with 90% confidence.

Answers

90% confidence interval is 82.11 < μ < 93.89

"Information available from the question"

The complete question is this:

The managers of a company are worried about the morale of their employees. In order to determine whether a problem in this area exists, they decide to evaluate the attitudes of their employees with a standardized test. They select the Fortunato test of job satisfaction, which has a known standard deviation of 24 points.

Due to financial limitations, the managers decide to take a sample of 45 employees. This yields a mean score of 88 points. What is the 90% confidence interval?

Now, According to the question:

We have :

The confidence level = 0.90

The significance level, \(\alpha\) = 0.10

The sample mean, x = 88

The population standard deviation, σ = 24

The sample size, n = 45

Critical value of z using the z - distribution table:

z(critical) = \(z_\alpha\) /2

               =  \(z_0_._0_5\)

               = ±1.645

90% confidence interval:

μ = x ± z. σ/\(\sqrt{n}\)

μ = 88 ± 1.645 x 24 / \(\sqrt{45}\)

μ = 88 ± 5.89

82.11 < μ < 93.89

Hence, 90% confidence interval is 82.11 < μ < 93.89

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It is believed that the machine is underfilling the bags. A 37 bag sample had a mean of 441.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the standard deviation is known to be 18.0.

Answers

Answer:

the decision rule is to reject H0 if Z is < -1.645

Step-by-step explanation:

this question is interested in the decision rule.

H0: u = 449

H1 : u <449

We find the test statistic

Mean bar x = 441

u = 449

Sd = 18

n = 37

Z = barX - u / sd/√n

= 441-449/18/√37

= -8/18/6.083

= -8/2.959

Z = - 2.7036

This is the value of the test statistic

The critical value at 0.05 = -1.645. this is a left tailed test

The decision rule is to reject H0 if Z < -1.645

The test statistic is less than the critical value

-2.7036 < -1.645

So we have enough evidence to reject H0. At 0.05 level we have enough evidence to support claim.

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