Mathematics, 25.12.2019 14:31 matt2167

Acertain tv can be purchased from the manufacturer for $160. a certain online retailer has a standard markup of 30%, and a certain superstore has a standard markup of 40%.

(a) what is the price of the tv when purchased online? what is the price of the tv when purchased at the superstore?
(b) what is the difference between the prices in part (a)? how does this relate to the difference in the markup?

Answers: 2

Show answers

Answers

Answer from: dounutalien

(a)

The price of the TV purchased online is $208

The price of the TV purchased at the superstore is $224

Explanation

To solve this, we are going to use the markup formula solved for price:

Price=markup*cost+cost

where

markup is expressed in decimal form

- For the online retailer:

We know that the the TV can be purchased from the manufacturer for $160, so cost=160 . We also know that its markup is 30%; to express the markup as a decimal, we just need to divide it by 100%, so $markup=\frac{30}{100} =0.3$ . Now we can replace the values in our formula to find the price of the TV at the online retailer:

Price=markup*cost+cost

Price=0.3*160+160

Price=48+160

Price=208

The price of the TV purchased online is $208

- For the superstore:

The cost is the same, so cost=160 . The markup this time is 40%, so $markup=\frac{40}{100}=0.4$ . Let's replace the values to find the price:

Price=0.4*160+160

Price=64+160

Price=224

The price of the TV purchased at the superstore is $224

(b)

Answer

The difference between the prices is $16

The difference relates to the markup in two ways:

- When the markup increases 10% (from 30% to 40%), the price of the TV increases by $16.

- When the markup increases 10% (from 30% to 40%), the price of the TV increases 7.7%.

Explanation

To find the difference of our prices, we just need to subtract the price of the TV purchased at the superstore from the price of the TV purchased online:

$224 - $208 = $16

Now, to find how much the cost increased when the markup increases from 30% to 40%, we are going to divide the result of the difference of the two prices by the price of the TV at the online retailer, and then multiply by 100%:

$\frac{16}{208} *100=7.69$

Which rounds to 7.7%

We can conclude that when the markup increases 10% (from 30% to 40%), the price of the TV increases 7.7%.

We can also conclude that when the markup increases 10% (from 30% to 40%), the price of the TV increases by $16.

Answer from: Quest

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

Answer from: Quest

lockers 1, 4, 9, 16, 25, 40, and 49 are open

i ran through it by the other answer is wrong

Another question on Mathematics

Mathematics, 20.06.2019 18:02

Keith bought a soft drink for 4 dollars and 9 candy bars .he spent a total of 31 dollars .how much did each candy bar cost?

Answers: 1

Answer

Mathematics, 21.06.2019 13:30

Lassify the function as linear or quadratic and identify the quadratic, linear, and constant terms. f(x) = (3x + 2)(−6x − 3) linear function; linear term: −21x; constant term: −6 linear function; linear term: −18x2; constant term: −6 quadratic function; quadratic term: 6x2; linear term: 24x; constant term: −6 quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Answers: 3

Answer

Mathematics, 21.06.2019 18:30

Logan wants to know how many skateboards have defective parts. he inspects 20,000 skateboards and keeps track of the number of defects per board. use his probability distribution table to find the expected value for defects on a skateboard.

Answers: 3

Answer

Mathematics, 21.06.2019 21:20

Sam is a waiter at a local restaurant where he earns wages of $5 per hour sam figures that he also eams about $3 in tips for each person he serves sam works 6 hours on a particular day. if n represents the number of people sam serves that day, which of the following functions could sam use to figure ehis total earings for the do o a. en) = 30 o b. en) = 5n+ 18

Answers: 2

Answer

You know the right answer?

Acertain tv can be purchased from the manufacturer for $160. a certain online retailer has a standar...

Questions