Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic haircut in 1998 and has been raising prices by a steady percentage each year to keep up with inflation.What is the price of a haircut at the salon in 2008? Explain or show your reasoning.
In 2003, the salon charged $19.95 for a basic haircut. Find the cost of the basic haircut in 2013. Explain your reasoning.
Answers
9514 1404 393
Answer:
- $22.12
- $24.51
Step-by-step explanation:
For some growth factor f each year, the growth factor over 20 years is given as ...
f^20 = 1 +0.51 = 1.51
Then the growth factor in 10 years is ...
f^10 = (f^20)^(1/2) = √1.51 ≈ 1.22882
__
a) In the 10 years between 1998 and 2008, the price of a basic haircut would rise to ...
$18 × 1.22882 ≈ $22.12 . . . price in 2008
__
b) In the 10 years between 2003 and 2013, the price of a basic haircut would rise to ...
$19.95 × 1.22882 ≈ $24.51 . . . price in 2013
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The average height of 15 basketball players is an example of: A. Descriptive statistics B. Qualitative data C. Inferential statistics D. A population
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The total of a triangle must be 180 degrees, so since c = z, then z is 35 degrees, add that to the 65 degrees of angle x to get 100, so the angle must be an 80 degrees, so angle y is 80 degrees
Answers
Answers
2x
x + 28
The sum of these must be equal to the perimeter of the flower bed, so
x + 2x + x + 28 = 184
4 x + 28 = 184 Combined like terms
4x = 156 Subtracted 28 from both sides
x = 39 Divided both sides by 4.
So the dimensions are 39 feet, 78 feet, and 67 feet
Final answer:
The problem involves finding the sides of a triangle given the perimeter and conditions for each side. After setting up an equation based on the conditions and solving for x, which is assumed to be the shortest side, the sides of the triangle are found to be 39 feet, 78 feet, and 67 feet.
Explanation:
This is a mathematical problem involving triangles and perimeter. The perimeter of a triangle is the sum of all of its sides. In your case, if we assume the shortest side to be x feet, then the other two sides, according to the question, are 2x feet and x+28 feet. Since the perimeter is 184 feet, these can be added together and set equal to 184, as such:
x + 2x + (x+28) = 184.
Add together like terms:
4x + 28 = 184.
Subtract 28 from both sides:
4x = 156.
Divide both sides by 4:
x = 39 feet.
Therefore, the sides of the triangle are 39 feet, 78 feet (2 * 39), and 67 feet (39 + 28).
Learn more about Triangles & Perimeter here:
#SPJ3
Answers
Answer:
The sum of bill he has to pay is $931,020.
Step-by-step explanation:
Given : Numbers 506,211 and 424,809
To find : Story problem that can be solved by finding the sum of numbers ?
Solution :
Taking an assumptions to create a story,
Ram buys two things i.e. watch and bag from store.
The cost of watch is $506,211.
The cost of bag is $424,809.
Total bill of ram is given by adding the price of the items.
i.e.
Adding the amount,
Therefore, The sum of bill he has to pay is $931,020.
b. b(5; 8, .6)
c. P(3<=X<=5) when n=7 and p = .6
d. P(1 <= X) when n=9 and p= .1
Answers
a.) b(3; 8, .35) = 8C3(0.35^3 * 0.65^5) = 56 x 0.042875 x 0.116029 = 0.2786
b.) b(5; 8, .6) = 8C5(0.6^5 * 0.4^3) = 56 x 0.07776 x 0.064 = 0.2787
c.) P(3 <= x <= 5) = P(3) + P(4) + P(5) = 7C3(0.6^3 * 0.4^4) + 7C4(0.6^4 * 0.4^3) + 7C5(0.6^5 * 0.4^2) = (35 x 0.216 x 0.0256) + (35 x 0.1296 x 0.064) + (21 x 0.07776 x 0.16) = 0.193536 + 0.290304 + 0.2612736 = 0.7451
Answers
2500 times 4%=2500 times 0.04=100
100 times how many years=200
divide by 100 both sides
how many years=2
2 years