1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Genrish500 [490]
3 years ago
10

A store pays $20 for a hat. to make a profit the store prices the hat 60% higher. later a sale reduce the price by 10%. finally,

a clearance sale reduces the sale price by 40%. what is the clearance price?
Mathematics
1 answer:
Maslowich3 years ago
6 0

The clearance price of hat is $17.28

Step-by-step explanation:

Price paid by store = $20

Increment = 60% of price paid

Increment = \frac{60}{100}*20 = \frac{1200}{100}

Increment = $12

Increased price = 20+12 = $32

Sale = 10%

Discount amount = 10% of increased price

Discount amount = \frac{10}{100}*32=\frac{320}{100}

Discount amount = $3.2

Sale price = 32 - 3.2 = $28.8

Clearance sale = 40%

Discount of clearance sale = 40% of sale price

Discount = \frac{40}{100}*28.8=\frac{1152}{100}

Discount = $11.52

Clearance price = sale price - Discount of clearance sale

Clearance price = 28.8 - 11.52 = $17.28

The clearance price of hat is $17.28

Keywords: percentage, subtraction

Learn more about subtraction at:

  • brainly.com/question/729447
  • brainly.com/question/7297385

#LearnwithBrainly

You might be interested in
The weights of bags of grasecks chocolate candies are normally distributed with a mean of 4.3 ounces and a standard deviation of
skelet666 [1.2K]

Answer: 0.2743

Step-by-step explanation:

Let X be a random variable that represents the weight of bags of grasecks chocolate candoes.

X that follows normal distribution with, Mean = 4.3 ounces, Standard devaition = 0.05 ounces

The probability that a bag of these chocolate candies weighs less than 4.27 ounces :P(X

=P(z

Hence, the required probability = 0.2743

7 0
2 years ago
What are the importance of knowing the theorems on midline, trapezoid and kite​
lutik1710 [3]

Answer:

It is important because it allows you to calculate the surface area of a trapezoidal prism

Step-by-step explanation:

7 0
3 years ago
I need help on this question ​
Musya8 [376]
1. added four to both sides
2. divided both sides by two
3 0
2 years ago
Read 2 more answers
Classify the triangle.<br>A. equilateral<br>B. scalene<br>C. isosceles
natima [27]

Answer:

It's a isosceles triangle........

I hope this is right....

6 0
3 years ago
Read 2 more answers
An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr
Tanzania [10]

Answer:

x  = 0.67 cm

Step-by-step explanation:

Let call  " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x       and   D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x)  = ( 8 - 2x ) * ( 3 - 2x ) * x     ⇒  V(x)  = ( 24 - 16x - 6x + 4x²) * x

V(x)  =  4x³ - 22x² + 24x

Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then    V´(x) = 0       ⇒   12x² - 44x + 24 = 0    ⇒  3x² -  11x + 6 = 0

We got a second degree equation solving for x

x₁,₂  = [11 ± √ 121 - 72 ] / 6

x₁  = ( 11 + 7 ) / 6         x₁  =  3   we dismiss this solution since according to problem statement  one side would become negative

Then

x₂  =  (  11 - 7 ) / 6    ⇒    x₂  =  4/6      ⇒   x₂  =  0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x)  = 12x - 44  < 0

Sides of the box

L = 8 - 2x    ⇒  L = 8 - 2*(0.67)   ⇒  L  = 8  - 1.34    ⇒  L = 6.66 cm

D = 3 - 2x   ⇒   D = 3 - 2* (0.67) ⇒  D = 3 - 1.34    ⇒   D = 1.66 cm

Heigh  =  x  = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

5 0
3 years ago
Other questions:
  • The school cafeteria has 285 cartons of juice in stock. Each day a total of 60 cartons are sold. If the x is the number of days
    9·1 answer
  • Foil pattern (8k+6)(k-5)
    11·1 answer
  • Use the expansion of (4x+3)^3 to find the exact value of (4.02)^3
    11·1 answer
  • If a graph of the quadratic function is givin,how do you find the vertex
    6·1 answer
  • A scale drawing of Joshua’s rectangular room is 4 inches by 5 inches. The scale is 1 inch = 4 feet. Enter the Area, in square fe
    12·2 answers
  • (5.23x + 3.76) − (3.67x − 6.39)
    9·1 answer
  • One student can paint a wall in
    5·1 answer
  • Please help i asked million times .
    6·2 answers
  • kevin uses a coupon for 75% off one item. he only pays $3.00 for a train set. how much money was the train set originally?
    12·1 answer
  • Which law would you use to simplify the expression...​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!