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.
One wall of Kevin's living room measures 8 ft by 15 ft. Windows make up 22% of the surface area. What is the window area?
how to draw an area model for 1.1x2.4
Is 774 odd or even number
The product of 10 and the difference of a number x and 14 is 90
Answer:
The product of 10 and the difference of 76 and 14 is 90
Step-by-step explanation:
90 - 14 = 76
76 + 14 = 90
90 - 10 = 80
I really tried to understand and came to this conclusion but I hope it helps I guess!
color and draw to show a way to take apart 7. complete the subtraction sentence
Bryan sells cars. He makes a salary of $500 a week, plus $150 for every car he sells. This week, he wants to make at least $2000. How many cars does he need to sell? Write an equation and solve.
Answer:
He need to sell atleast 10 car to make atleast $2000.
Step-by-step explanation:
Given : Bryan sells cars. He makes a salary of $500 a week, plus $150 for every car he sells. This week, he wants to make at least $2000.
To find : How many cars does he need to sell, Write an equation and solve.
Solution : He makes a salary = $500 per week .
He gets for every car sell = $ 150.
Let us consider the number of cars he need to sell = x.
Total cost for x car = $150 * x.
According to question he wants to make atleast = $2000.
We will use" greater than or equal to "sign for atleast then equation become:
150x + 500 [tex]\geq[/tex] 2000.
Now, we need to solve the inequality for x :
On subtracting by 500 both sides
150x [tex]\geq[/tex] 2000 -500.
150x [tex]\geq[/tex] 1500.
On dividing by 150 both sides ,
x [tex]\geq[/tex] 10.
Therefore, he need to sell atleast 10 car to make atleast $2000.
a square rug has an area 80ft which is the best approximation of the length of one side of the rug.....Explain...If you can show work
A ) 6.4ft
B ) 7.5ft
C ) 8.9ft
D ) 20ft
The length of one side of the square rug is found by taking the square root of the area of the rug, which is 80 square feet. The best approximation for this is 8.9 feet.
Explanation:This problem is about understanding the relationship between the area and the length of a side in a square. In a square, all sides are equal in length, and the area of a square is given by the equation Area = side*side. So, if the area is given, we can find the length of a side by taking the square root of the area.
Here, since the area of the square rug is 80 square ft., we find the length of one side by calculating the square root of 80. The square root of 80 is approximately 8.9ft
So, looking at the options given, the best approximation for the length of one side of the rug is option C) 8.9ft.
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DDraw a model of 5.5 divided by 5
what is the discount rate for a $70 table on sale for $55 select correct answer A 15% B 21.4% c 27.3% D 78.6%
A-6 pack Of Undershirts cost $13.98.This is $3.96 less than the cost Of buying 6 individual shirts. if each undershirt costs the same amount,how much does each undershirt cost when purchased individually
A sofa is on sale for
$442, which is
35% less than the regular price.
What is the regular price?
the regular price of the sofa is $684.61.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, A sofa is on sale for $442, which is 35% less than the regular price.
Thus,
65% of the regular price = 442
The regular price = 445*100/65
Thus, Regular price = $684.61
Therefore, the regular price of the sofa is $684.61.
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Fumi's backyard has an area of 10,359 Sq ft. write this in scientific notation
which parachute has a slower descent: a red parachute that falls 10 feet in 4 seconds or a blue parachute that falls 12 feet in 6 seconds?
what are all the common factors of 24,64 and 88
60 people rode a ferris wheel in 25 min how many can ride in 2 hrs
sophina bought 3 yards of trim to put around a rectangular scarf . She wants the width of the scarf to be a whole number that is at least 6 inches and at most 12 inches. If she uses all the trim , what are the possible dimensions of her scarf? write your answer in inches
of the students in Rosalie's dance class, 29 out of 59 have participated in dance class before. About how many of her students have participated in dance class before?
A)0
B) 1/2
C) 1
D) 2
identify the independent and dependent variables in the following y=4x+1
In the given equation y=4x+1, the independent variable is x, and the dependent variable is y. The independent variable is the cause, and the dependent variable is the effect. Therefore, any change in x will result in a change in y.
Explanation:In the given equation y=4x+1, the independent variable is x and the dependent variable is y. This is because the value of x is not dependent on any other variable, while the value of y depends on x. The variable y is dependent because it changes in response to the value of x.
Conceptually, the independent variable is what you have control over or manipulate, and the dependent variable is what you observe or measure. For example, in the equation y = a + bx, a is the y-intercept, b is the slope, x is the independent variable, while y is the dependent variable that changes according to the value of x.
Simply put, the independent variable is the cause, and the dependent variable is the effect. In the context of this equation, any change in x (independent variable) will cause a change in y (dependent variable).
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What is a conversion factor that you can use to convert gallons into pints?
Please fill out the function table.
Questions are in the photo.
i need help with 64 x 57=
Multiply whit regrouping
59
X 52=
(mary found 2 seashells and jason found 5 seashells on the beach when they cleaned them they discovered thay that 8 were cracked how many seashells dis they find together)plz help
(1) The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy. Lola sold $2030 in ads, Ahmed sold $1540, and Tommy sold $1800. (a) What fraction of the total sales did each salesperson sell? (b) A $100 bonus was awarded to the three salespeople, which they had to share. It was awarded so that each salesperson received the same fraction of $100 as he or she sold of the total sales. How much did each person receive? Round to the nearest whole cent.
Answer: a) Fraction of the total sales did each salesperson sell:-
[tex]\text{Lola}=\frac{203}{537}[/tex]
[tex]\text{Ahmed}=\frac{154}{537}[/tex]
[tex]\text{Tommy}=\frac{180}{537}[/tex]
b) Each person receive=$33
Step-by-step explanation:
Given: The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy.
Sales by Lola= $2030
Sales by Ahmed=$1540
Sales by Tommy=$1800
Thus, the total sales= $2030+$1540+$1800=$5370
Fraction of the total sales did each salesperson sell:-
[tex]\text{Lola}=\frac{\text{Sales by Lola}}{\text{total sales}}=\frac{2030}{5370}=\frac{203}{537}[/tex]
[tex]\text{Ahmed}=\frac{\text{Sales by Ahmed}}{\text{total sales}}=\frac{1540}{5370}=\frac{154}{537}[/tex]
[tex]\text{Tommy}=\frac{\text{Sales by Tommy}}{\text{total sales}}=\frac{1800}{5370}=\frac{180}{537}[/tex]
If $100 bonus was awarded to the three salespeople, then
Each person receive=[tex]\frac{\$100}{3}=33.33\approx\$33[/tex]
A jet flies 510 miles in 2 hours.
a. What is the rate of speed of the jet (MPH)?
b. At this rate, how far can the jet fly in 15 hours?
Sales Tax is percent
a)increase
b)decrease
Discount is percent
a)increase
b)decrease
Tip is percent
a)increase
b)decrease
bailey can hit 42 golf balls in 3 1/2 hours. if she hits golf balls at a constant rate,
Bayley can hit a single golf ball every 5 minutes
Now Bayley can hit 42 golf balls in 3 1/2 hours
Thus converting the 3 1/2 hours in minutes:
3 hours + 1/2 hours = 180 minutes + 30 minutes = 210 minutes
Bayley can hit 42 golf balls in 210 minutes
Thus let's say she takes 'x' minutes to hit one ball
Calculating the value of 'x' using direct proportion theorem:
[tex]\frac{x}{210}=\frac{1}{42}[/tex]
[tex]x*42 = 210[/tex]
[tex]x= \frac{210}{42}[/tex]
[tex]x = 5[/tex]
Thus Bayley can hit 5 golf balls every 1 minute
convert 189 feet per hour to feet per minute.
a^b if a=6 and b=7...............
Find the value of x when 2(x - 3) + 1 = 3x + 4
A) -1
B) -1/5
C) -9/5
D) -9
Answer: -9
Step-by-step explanation: Distribute: 2x - 6 + 1= 3x + 4. Combine like terms on the left side: 2x - 5 = 3x + 4. Subtract 2x from both sides: -5 = x + 4. Subtract 4 from both sides: x = -9.