Jerry buys a new cell phone and signs up for a yearly cell phone plan. The cell phone costs $329 and the yearly plan costs 490 per year for every year he uses the cell phone. The only costs associated with the cell phone are the purchase price and the cost of the yearly cell phone plan.

a) Describe the annual cost of the cell phone per year as a function of the number of years he uses the cell phone.

b) What happens to the average price per year the longer Jerry holds onto this plan and explain why?

Answers

Answer 1

Answer:

(329 + 490X) / X = Cost

Thus, the average annual price decreases as the cell phone is used for more years, because the fixed cost (the cost of the value of the cell phone) is divided each time by a greater number of years.

Step-by-step explanation:

Since Jerry bought a new cell phone and signed up for a yearly cell phone plan, and the cell phone costed $ 329 and the yearly plan costs $ 490 per year for every year he uses the cell phone, to determine the annual cost of the cell phone per year as a function of the number of years he uses the cell phone, the following mathematical reasoning must be performed:

(329 + 490X) / X = Cost

So, for example, if the cell phone was used for 3 years, the function would apply as follows:

(329 + 490x3) / 3 = X

(329 + 1470) / 3 = X

1,799 / 3 = X

599.66 = X

Thus, the average annual price decreases as the cell phone is used for more years, because the fixed cost (the cost of the value of the cell phone) is divided each time by a greater number of years.


Related Questions

A box contains 57 red marbles, 40 white marbles, and 70 blue marbles.
If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a simplified fraction or a decimal
rounded to four decimal places.

Answers

I couldn’t simplify it but i got 70/167

a small business estimates that the value V(t) of a copy machine is decreasing according to the function

V(t)=4000(4)^0.13t

where t is the number of year's that have elapsed since the machine was purchased and V(t) is in dollars. ​

Answers

Answer:

ZujADADA

Step-by-step explanation: 1+2=3

1. A bag of 12 oranges costs $2.99. What is the cost per orange?

2. 4 slices of pizza cost $10.50. At this rate, what is the cost of 10 slices of pizza?

3. 4 pieces of candy cost $0.99. At this rate, what is the cost of 7 pieces of candy?

Answers

Answer:

1- $ 0.25.

2- $ 26.25.

3- $ 1.73.

Step-by-step explanation:

1- Given that a bag of 12 oranges costs $ 2.99, to determine what is the cost per orange, the following calculation must be performed:

2.99 / 12 = X

0.249 = X

Thus, the cost of each orange is $ 0.25.

2- Given that 4 slices of pizza cost $ 10.50, to determine what is the cost of 10 slices of pizza at this rate, the following calculation must be performed:

10.5 / 4 x 10 = X

2.625 x 10 = X

26.25 = X

Thus, the cost of 10 slices of pizza is $ 26.25.

3- Given that 4 pieces of candy cost $ 0.99, to determine what is the cost of 7 pieces of candy at this rate, the following calculation must be performed:

0.99 / 4 x 7 = X

0.2475 x 7 = X

1.7325 = X

Thus, the cost of 7 pieces of candy is $ 1.73.

Find the area of this circle. Use 3 for pi

Answers

Answer:

area = 108 cm^2

Step-by-step explanation:

area = Pi(r^2)

using Pi = 3

r = D/2 = 12/2 = 6

area = 3(6^2) = 3(36) = 108 cm^2

Find the value of x.
to
4
42°
60°
-

Answers

Answer:

Step-by-step explanation:

The missing angle of the triangle is 180°-42°-60° = 78°.

x° =  180°-78° = 102°

The gross income, in dollars, that a company makes from
selling x items can be modeled by the expression 3x2 + 2x
+ 4. It costs the company x2 - 3x + 2 dollars to make x
items. Which expression represents the company's profit if
it makes and sells x items?

Answers

Answer:

x sells x

Step-by-step explanation:

$$$$$$$

Simplify the expression by combining like terms:
-3m-8(m+1)

Answers

Answer: -11m-8

Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8

Answer:

16m

Step-by-step explanation:

-3m -8 (m+1) any variable has 1.

-8  (-2m)

16m

Since 2005 the amount of money spent at restaurants in a certain country has increased at a rate of 8% each year. in 2005, about $280 billion was spent at restaurants. if the trend continues, about how much will be spent at restaurants in 2015?

Answers

1.8 x 280billion ok use a calculator

write the sum using summation notation -1+2+5+8+...+44

Answers

Answer:

[tex]\sum_{i=0}^{15} (3i-1)[/tex]

Step-by-step explanation:

for i=0 you have the first term, 3*0-1 = -1

for i=1 you have the second term, 3*1-1 = 2

...

for i=15 you have the last term, 3*15-1 = 44

Find the length below using the triangle given???asap

Answers

Answer:

PV = 8

VT = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

in a 30-60-90° Δ, the ratio of sides, respectively, is 1: [tex]\sqrt{3}[/tex]: 2

if PT = 4 then PV is twice that, or 8

VT = PT·[tex]\sqrt{3}[/tex]

what do you understand by resultant of a force​

Answers

Answer:

When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.

Step-by-step explanation:

Patty buys a carpet that is made up of 9 parallelograms. Each parallelogram has a base of 12 inches and a height of 20 inches.

The area of each parallelogram is
square inches.

The area of the carpet is
square inches.

Answers

Answer:  

Patty buys a carpet that is made up of 9 parallelograms. Each parallelogram has a base of 12 inches and a height of 20 inches.

The area of each parallelogram is  

✔ 240

square inches.

The area of the carpet is  

✔ 2,160

square inches.

WILL MARK BRAINLIEST! Solve for x and each angles measure. Only asking for #5. Thank you!

Answers

Answer:

Step-by-step explanation:

2x + 3x + 135 = 180                            Every triangle has 180 degrees

5x + 135 = 180                                    Subtract 135 from both sides.

5x = 45                                               Divide by 5

x = 9

2x =                  18

3x =                  27

Other angle   135

Total              280

A new bagel store opened. The first day 15 customers entered the store. The number of customers that enter the store triples each day after. Which function represents f(d), the
number of customers that enter on the day

Answers

Answer: it triples by 3 so 15,45, 135

Step-by-step explanation: this is by 3 because it goes on by 15,45,135

Please help please please

Answers

Answer:

8

Step-by-step explanation:

There are less people on the 8.

Glados drew a triangle with the base of 9.6 centimeters. It's area was 30.72 square centimeters. What was it's height (nearest tenth)​

Answers

Answer:

the answer is 98.3cmsquared

Helppppp!!!!
I don’t understand it

Answers

Okay so for 2x-y > 3
Subtract -2 from each side
-y>-2x+3
Divide by -1
And when you divid you gotta switch signs
So it’s y<2x-3

3x-5y less than and equal to 25
Subtract 3
-5y is less than and equal to -3x+25
Then divide by -5
Flip since we divide
Y more than and equal to 3/5x-5
We always flip signs when we divid or multiple
I hope this help
Sorry if I’m wrong

The pet store had food priced at $10 and now is priced at $18. What is the percent markup?​

Answers

Answer:

180%

Step-by-step explanation:

DO THIS FOR BRAINLIEST PLEASE
Joey wants to find out what sport 7th grade girls like the most. He asks "Is basketball your favorite sport?"

This question is biased.


True OR False

Answers

Answer:

True

Step-by-step explanation:

I hope I'm right

Answer:

False

Step-by-step explanation:

No 7th grade girl likes basketball the most unless they're going through their tomboy phase of life.


Could somebody help me with this please

Answers

Answer:

x = 19°

Step-by-step explanation:

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

Forgive me if wrong

X is 19 decrees this is simple!

what if 1/3 years = -------- month

Answers

Answer: 1/3 of a year equals 4 months

Step-by-step explanation: This is because there are 12 months in a year and 1/3 years is 12/3, which is 4

Hope you are having a nice day and please tell me If got anything wrong  

Answer: 4 months

Step-by-step explanation:I believe it would be four months because 12 months in a year divided by 1/3 would be 4 months. Hope this helps!

Understanding Fractions as Division - Item 30582 A recipe calls for 12 cups of blueberries to make 7 jars of blueberry jam. What is true about the number of cups of blueberries in each jar? 7 Each jar has 12 cup of blueberries. Each jar has 1 of 7 cups of blueberrie Each jar has 12 cups of blueberries. Each jar has 1 cups of blueberries.​

Answers

Answer:

C. Each jar has 12/7 cups of blueberries.

Step-by-step explanation:  

12 cups of blueberries ⇒ 7 jars of jam ⇒12 / 7 cups of blueberries ⇒ 7 / 7 jars of jam ⇒12 / 7 cups of blueberries ⇒ 1 jar of jam

The answer options (restored as original):

A. Each jar has 7/12 cup of blueberries. ⇒ incorrectB. Each jar has 1/12 of 7 cups of blueberries. ⇒ incorrectC. Each jar has 12/7 cups of blueberries. ⇒ correctD. Each jar has 1 5/12 cups of blueberries.​ ⇒ incorrect

 

An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that the value would increase by 10% per year. According to the appraiser's estimate about the value of the chairwhich statements are true?

Select ALL that apply

A. Alinear model provides the best of the estimated values.

B. The value will increase by 30% in the first 3 years.

C. After 2 yearsthe value will be $605.

D. The rate of change of the value will decrease over time

E.The value will increase by $50 in the first year

Answers

Answer:

C and E

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

The true statements are (C) After [tex]2[/tex] years the value will be $[tex]605[/tex]  and (E) The value will increase by $[tex]50[/tex] in the first year.

Compound Interest:

Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

In the first year, the value[tex]=[/tex] $[tex]500+500\times \frac{10}{100}[/tex]

                                         [tex]=500\left ( 1+\frac{10}{100} \right ) \\ =\left ( 500\times 1.1 \right )[/tex]

                                         [tex]=[/tex]$[tex]550[/tex]

Change in price=$[tex]50[/tex]

After 2 years, the price is=$[tex]550+[/tex]$[tex]550 \times\frac{10}{100}[/tex]

                                         =$[tex]550\times(1+\frac{10}{100} )[/tex]

                                         =$[tex]550\times(1.1)[/tex]

                                         =$[tex]605[/tex]

After 3 years, the price=$[tex]605+605\times\frac{10}{100}[/tex]

                                      [tex]=605(1+\frac{10}{100} )[/tex]

                                      [tex]=(605\times1.1)[/tex]

                                      [tex]=[/tex]$[tex]665.5[/tex]

Rate of change[tex]=\frac{(665.5-500)}{500} \times100[/tex]%

                        [tex]=\frac{165.5}{5}[/tex]%

                        [tex]=33.1[/tex]%

                        [tex]\neq 30%[/tex]%

According to the problem, an exponential pt model provides the best fit.

Therefore, the true statements are an option C and E.

Learn more about the topic Compound Interest: https://brainly.com/question/26574136

what is dangerous about living for seven days on just one can of sardines?

Answers

Answer:

because you cant survive without enough food.

Step-by-step explanation:

Which number is not a factor of 42?
2 3. 4 7

Answers

Answer:

3

by using divisibility test

Answer: Its 3

Step-by-step explanation: This is because 42 can be divided by 2 4 and 7 and still be a whole number but when you divide 3 by 42 you get 10.5

Hope this helps and have a nice day

6) A garden is 90m long and 50m wide. A path of 5m width is built outside and around it.
Find
(1) the area of the path
(11) the cost of cementing the path at the rate of Rs 250 per mº​

Answers

It’s 837 this is the path

pleaseeee help please​

Answers

Answer: It will be 60m^2

Help please I don’t understand

Answers

88cm^2. area is the coverage of the area inside of a given shape, since some of the frame is cut off for a picture (making it not a full rectangle) you must find the area of the whole frame and find the area of the cutout. after finding those, subtract the cutout from the frame and then you have the area of the frame

if m<1 equals 35 what’s is m<3

Answers

Answer: 159

Step-by-step explanation: 53x3

Answer:

Step-by-step explanation:

m < 1 = 53°

then

m< 3 = m<1 + 90° ( exterior angle of a triangle is equal to the sum of two opposite interior angles )

m<3 = 53° + 90°

       = 143°

hope it will help :)

HELPPP MEEE THE VALUEEEE

Answers

p = 128, making all values equal up to 180
48+42+p-39=180
p = 180 - 48 - 42 + 39 = 129
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