Mathematics, 23.07.2019 23:00 CalCDanG

Two cell phone companies have different rate plans. runfast has monthly charges $10 plus $4 per gig of data. b a & d’s monthly charge is $6 plus $6 per gig of data. which company has the better deal for customers that don’t us much data? how do you know? be sure to include how your response relates to the point of intersection.

Answers: 1

Show answers

Answers

BA&D's plan is better for those who use less data. The intersection point of the two plans is (2, 18), which means that both plans cost $18 when you use 2G of data. Anything using more data than that is less expensive with BA&D's plan.

To find the intersection point,
6+6g=10+4g

We cannot have a variable on both sides, so we will subtract 4g from both sides:
6+6g-4g=10+4g-4g
6+2g=10

Subtract 6 from both sides:
6+2g-6=10-6
2g=4

Divide both sides by 2:
2g/2 = 4/2
g = 2

This is the point where the plans cost the same. If we try a number smaller than 2 in both plans,
6+6(1) = 6+6 = 12
10+4(1) = 10+4 = 14

BA&D's plan is less.

Answer from: Quest

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the (original price) is $420.

0.7x = 420

equation image indicator

x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

Answer from: Quest

it will be a cylinder. with a diameter of 8 and 4 single pieces high

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 19:30

Order the measurements from the least to the greatest. 2,720 ml , 24.91 l , 0.0268 kl

Answers: 1

Answer

Mathematics, 21.06.2019 22:20

Which graph has figures that can undergo a similarity transformation to justify that they are similar? (obviously not the third one)

Answers: 2

Answer

Mathematics, 21.06.2019 23:00

Someone answer this asap for gabriella uses the current exchange rate to write the function, h(x), where x is the number of u.s. dollars and h(x) is the number of euros, the european union currency. she checks the rate and finds that h(100) = 7.5. which statement best describes what h(100) = 75 signifies? a. gabriella averages 7.5 u.s. dollars for every 100 euros. b. gabriella averages 100 u.s. dollars for every 25 euros. c. gabriella can exchange 75 u.s. dollars for 100 euros. d. gabriella can exchange 100 u.s. dollars for 75 euros.

Answers: 1

Answer

Mathematics, 22.06.2019 02:00

Gables properties corp. is leasing office building with an area of 49b^2+70b+25. what is the shape of the building? a) rectangle b) square

Answers: 3

Answer

You know the right answer?

Two cell phone companies have different rate plans. runfast has monthly charges $10 plus $4 per gig...

Questions