A certain 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?
Answer:
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:
[tex]Price=markup*cost+cost[/tex]
where
[tex]markup[/tex] is expressed in decimal form
- For the online retailer:
We know that the the TV can be purchased from the manufacturer for $160, so [tex]cost=160[/tex]. We also know that its markup is 30%; to express the markup as a decimal, we just need to divide it by 100%, so [tex]markup=\frac{30}{100} =0.3[/tex]. Now we can replace the values in our formula to find the price of the TV at the online retailer:
[tex]Price=markup*cost+cost[/tex]
[tex]Price=0.3*160+160[/tex]
[tex]Price=48+160[/tex]
[tex]Price=208[/tex]
The price of the TV purchased online is $208
- For the superstore:
The cost is the same, so [tex]cost=160[/tex]. The markup this time is 40%, so [tex]markup=\frac{40}{100}=0.4[/tex]. Let's replace the values to find the price:
[tex]Price=0.4*160+160[/tex]
[tex]Price=64+160[/tex]
[tex]Price=224[/tex]
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%:
[tex]\frac{16}{208} *100=7.69[/tex]
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 $16.
Answer:
a) The price online of the TV is 208$
And in the superstore, it is 224$
b) The difference between the prices is $16.
208 - 224 = 16
The market difference is related as follows:
When the markup increases by 10% (from 30% to 40%), the price of the TV increases by $16.
What does x equal? 3(14x-15)=-72
The ordered pairs (1, 16), (2, 25), (3, 36), (4, 49), and (5, 64) represent a function. What is a rule that represents this function?
Also, how do I know how to find the rules of functions?
Answer:
The rule representing the function is [tex]f(x)=(x+3)^2[/tex].
Step-by-step explanation:
We are given,
The ordered pairs for the function are (1, 16), (2, 25), (3, 36), (4, 49), and (5, 64).
It is required to find the rule representing the function.
Now, we see that,
[tex]16=(1+3)^2[/tex]
[tex]25=(2+3)^2[/tex]
[tex]36=(3+3)^2[/tex]
[tex]49=(4+3)^2[/tex]
[tex]64=(5+3)^2[/tex]
From the pattern,we get the function is [tex]f(x)=(x+3)^2[/tex].
Hence, the rule representing the function is [tex]f(x)=(x+3)^2[/tex].
Nadia charges $6.50 an hour for babysitting. She babysits 16.50 hours the first week of the month and 22 hours the second week of the month.Suppose Nadia raises her rate by $0.65 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?
list all of the factors of 72
At Southside Middle School, 30% of the students play an instrument. There are 310 students. How many students play an instrument? 93 students 130 students 217 students 290 studentsAt Southside Middle School, 30% of the students play an instrument. There are 310 students. How many students play an instrument?
Answer:
93 students
Step-by-step explanation:
We need to calculate the 30% of 310 students.
We can calculate with a direct rule of 3. If the 100% is 310 students, how many students are the 30%?
[tex]100 -\!\!\!-\!\!\!- \text{310 students}\\ 30 -\!\!\!-\!\!\!- \text{x students}[/tex]
We use the formula of the direct rule of 3:
[tex]x = \frac {30 * 310}{100} \\ \\ x = \frac {9,300}{100}\\[/tex]
x = 93
93 students play an instrument at Southside Middle School.
Dominic, Ralf and Peter have just eaten a HUGE Christmas meal. Dominic now weighs half as much as Ralf, and Peter weighs three times as much as Dominic. Together they weigh 720 pounds. How much does Dominic weigh?
Jordan has 4/5 as many DVDs as Joseph. If Jordan has 56 DVDs, then how many does joseph have?
Can someone help me out here . Thanks!
A family is tracking its spending habits. Over the past year, the grocery bill has ranged from $110 to $170.
Suppose you were going to plot these points on a coordinate grid.
(a) What is a good scale to use for the y-axis? Explain your reasoning.
(b) What is a good interval to use for the y-axis? Explain your reasoning.
Answer:
A. $10
B. 12 points
Step-by-step explanation:
Let, the x-axis represents the number of months and y-axis represents the money for the grocery.
Now, as we have the range of the grocery bills from $110 to $170.
Thus, taking the scale of $10 on y-axis will give us 7 intervals in which the changes in the grocery bills can be viewed.
Hence, a scale of $10 is a good scale.
Further, as y-axis represents the number of months. Thus, taking 12 months will be sufficient to plot the graph and show the changes in the grocery bills.
Hence, 12 points representing months are sufficient.
simplify and plz show work on a piece of paper
A bakery used 475 pounds of apples to make 1000 apple tarts. each jar contains the same amount of apples. how many pounds of apples are used in each tart.
Jamal is planting seeds for garden nursery.he plants 9 seeds In each container.if Jamal has 296 seeds to plant ,about how many containers will use?
Chelsea earns $30 per day plus $5 for every sale that she makes at her job. On thursday ,she wants to earn at least $60
What is another way to write 300+20+5
What is the answer to 5/6 - 3/12=
which parachute has a slower descent a red parachute that was 10 feet in 4 seconds or a blue parachute that falls 1
2 feet in 6 seconds
Gina hiked down a canyon and stopped each time she descended ½ mile to rest. She hiked a total of 4 sections. What is her overall change in elevation?
Lee,Shawn, and Jade share a box of 754 beads. The ratio of Lee's share of beads to Shawn's share of beads is 4:3. The ratio of Shawn's share of beads to Jade's share of beads is 9:5. How many beads does Lee have?
On a scale drawing with a scale of 1 cm: 3 m , the height of a tree is 5 cm. How tall is the actual tree?
350 yards to 420 yards
The range from 350 yards to 420 yards is of 70 yards.
To understand the range from 350 yards to 420 yards, it is important to recognize that this involves simple subtraction and addition within a specific interval. The interval is calculated as follows:
The lower limit: 350 yardsThe upper limit: 420 yardsThe range between these two distances is:
Lower Limit: 350 yardsUpper Limit: 420 yardsTo find the difference, which represents the span or range between these two points, simply subtract the smaller number from the larger number:
420 yards - 350 yards = 70 yards
Thus, the range between 350 yards and 420 yards is a total of 70 yards.
Lie needs 15 pieces of string 1/2 of an inch long. She cut a 6 inch piece of string into pieces that are each 1/2 of an inch long. How many more pieces of string does she need?
Mr.Mason's height is at most 4 inches mire than twice his daughters height Mr.Mason's height is 70 inches.
deshawn deposited $6500 into a bank account that earned 11.5percent simple interest each year . he earned $4485 in interest befour closing the account. if no money was deposited into or withdrawn from the account, for how many years was the money in the account round the answer to the nearest whole year
The money was in the account for 6 years.
Explanation:To find the number of years the money was in the account, we can use the formula for simple interest: I = P * r * t, where I is the interest earned, P is the principal (initial amount), r is the interest rate, and t is the time in years. We are given that Deshawn earned $4485 in interest and the interest rate is 11.5%. Let's plug in these values and solve for t:
4485 = 6500 * 0.115 * t
Simplifying the equation gives us:
t = 4485 / (6500 * 0.115) ≈ 6.1337
Rounding to the nearest whole year, we can conclude that the money was in the account for 6 years.
According to the us census bureau 3/25 of all adults in the us visited a zoo in 2007 what percent of all adults in the us visited a zoo in 2007
which is a solution of the inequality y < x - 8
A solution to the inequality 'y < x - 8' is any point where the y-value is less than the x-value minus 8. An example solution is the point (10, 1). To find all solutions, one would graph the boundary line y = x - 8 and shade the region below it, without including the line itself.
Explanation:The question 'which is a solution of the inequality y < x - 8' falls within the subject of Mathematics, specifically under the topic of inequalities in algebra. A solution to this inequality is any ordered pair (x, y) where the y-value is less than the x-value minus 8. For example, if x is 10, then y must be less than 2 to satisfy the inequality, such as the point (10, 1).
To visualize this, you would graph the line y = x - 8 and then shade the region below this line on a coordinate plane. The shaded region represents all the points where the y-coordinate is less than the x-coordinate minus 8, thus showing all the potential solutions to the inequality. Points on the boundary line are not included since the inequality is strictly less than, not less than or equal to.
Lilah completed the division problem below.
7.84 divided by 2
Select True or False for each statement.
A. The first step of the division is to multiply 7.84 and 2 by 10
B. The quotient will be a whole number.
C. The quotient multiplied by 2 will equal 7.84
D. The first digit of the quotient will be in the ones place.
E. The quotient will have two decimal places.
estimate then find the product 48x38
A bathtub holds about 2 hectoliters of water. If 25 liters of water are let down the drain, how many liters of water are still in the bathtub?
Need help with this problem thx!!!!!!