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

Answer 1

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


Related Questions

can someone help me please?

The base of tyler's cabin is a 56 feet by 78 feet rectangle. What is the area of the base of tyler's cabin?

Strategy:

why did you choose this strategy:

Answers

Answer:  4368 square feet

======================================================

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)In the upper right corner, we have an area of 70*6 = 420In the lower left corner, we have an area of 50*8 = 400In the lower right corner, we have an area of 6*8 = 48

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368

the graph shows the number of calories Natalia burned while running.
What is the slope of the line ?
What does the slope tell you ?​

Answers

Answer:

slope is y=10x.

Slope shows that she is consistently burning 10 calories per minute

Step-by-step explanation:

8^1/6 multiply 2^x = 32^1/2 Work out the exact value of x. WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!

Answers

Answer:

x=2

Step-by-step explanation:

8^1/6 x 2^x = 32^1/2

Divide by 8^1/6

2^x= 32^42/8^y6

2^x=4

but 4= 2^2

2^x= 2^2

x=2

I hope helps you and if you consider and want you can give me a Brainly crown

Answer:

[tex]\huge\boxed{x=2}}[/tex]

Step-by-step explanation:

[tex]8^\frac{1}{6}\cdot2^x=32^\frac{1}{2}\\\\(2^3)^\frac{1}{6}\cdot2^x=(2^5)^\frac{1}{2}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\2^{3\cdot\frac{1}{6}}\cdot2^x=2^{5\cdot\frac{1}{2}}\\\\2^{\frac{1}{2}}\cdot2^x=2^\frac{5}{2}\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\2^{\frac{1}{2}+x}=2^\frac{5}{2}\iff\dfrac{1}{2}+x=\dfrac{5}{2}\qquad|\text{subtract}\ \dfrac{1}{2}\ \text{from both sides}\\\\x=\dfrac{4}{2}\\\\x=2[/tex]

A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?
A. 20 miles
B. 180 miles
C. 200 miles
D. 10 miles
PLS HELP ME LIKE NOW PLS!?!

Answers

Answer:

B

Step-by-step explanation:

9x20=180


Write the slope of a line perpendicular to y=-6x+4. Explain why it is perpendicular

Answers

Answer:

1/6 is the slope since you have to flip it

Step-by-step explanation:

Answer:

The slope of a line perpendicular to the equation is 1/6 or x/6.

This is perpendicular because it is the reciprical of the other equation

Step-by-step explanation:

y=-6x+4.

the slope intercept form is y=mx+b

m is the slope

m=-6

for the equation to be perpendicular then the slope is the reciprical

Knowing this lets find a line perpendicular to this equation

Equation:

y=1/6x+2/3

or

y=x/6+2/3

But his teacher that he needed to measure the height of a building in which his classroom is located he backs away from the building and places a mirror on the ground between him and the wall when he can see the top of the building in the mirror Peter is 2‘9“ away from the mirror and the mirror is 11 feet away from the wall of the building Peter knew his eye level was exactly 5‘6“ off the ground so he was able to calculate the height of the building how tall is the building in feet

Answers

Answer:

IT'S 22 JUST FOUND OUT

Step-by-step explanation:

Emilio has 2 quarters, 4 dimes, 3 nickels and 5 pennies. How much money does Emilio have in all?

Answers

Answer:

$1.10

Step-by-step explanation:

What we know:

Emilio has 2 quarters, 4 dimes, 3 nickels, and 5 pennies.

Quarters = 0.25 * 2

Dimes = 0.1 * 4

Nickels = 0.05 * 3

Pennies = 0.01 * 5

$0.50 + $0.40 + $0.15 + $0.05

$0.90 + $0.20 = $1.10 in total

1, 6, 36, 216, ...

Find the 10th term in the sequence using the explicit formula.

Answers

The answer is 10077696
Because you multiply them by 6

39/9 as a repeating decimal

Answers

Answer:

4.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333

Step-by-step explanation:

just do it

Can someone pls answer these if someone gives me a step by step answer gets brainliest and 100pts

Quadrilateral ABCD has been dilated by a scale factor of -5/3, Quadrilateral A'B'C'D' is an enlargement of the pre-image.

Question 17 options:
True
False

Question 18 (5 points)
Quadrilateral MNPQ has been dilated by a scale factor of 1/2, Quadrilateral M'N'P'Q' is an enlargement of the pre-image.

Question 18 options:
True
False

Answers

9514 1404 393

Answer:

  17. True

  18. False

Step-by-step explanation:

A dilation will be an enlargement when the magnitude of the scale factor is greater than 1.

__

17. The magnitude of the scale factor is 1 2/3, a value greater than 1. The dilation is an enlargement (True).

__

18. The magnitude of the scale factor is 1/2, a value less than 1. The dilation is not an enlargement. The statement is False.

How many students voted for each
participant?

Answers

Answer:

12 people voted for Matthew and 18 people voted for Diana.

Step-by-step explanation:

1. Multiply 30 by 0.4 to get 12.

2. Subtract 12 from your total of 30. The remaining 18 votes belong to Diana.

Which statement is true?


1
3
(
n
+
3
)
=
1
3
n
+
3

1 third times open paren n plus 3 close paren is equal to 1 third n plus 3

1
3
(
n
+
3
)
=
1
3
n
+
1

1 third times open paren n plus 3 close paren is equal to 1 third n plus 1

1
3
(
n
+
3
)
=
1
3
n
+
3
1
3

1 third times open paren n plus 3 close paren is equal to 1 third n plus 3 and 1 third

1
3
(
n
+
3
)
=
1
3
n
+
4
3

Answers

Answer:

the answer is they are the same

Answer:

yes

Step-by-step explanation:

explanation: yes

me: yes

you: yes

others: yes

john cena: no :)

confusion confusion

confusion confusion

x - 9 = 0.7*x + 0.6*x

Answers

Answer:

x = -30

Step-by-step explanation:

[tex]0.7x+0.6x=1x-9\\=>1.3x=1x-9\\=>1.3x-1x=9\\=>0.3x=-9\\=>\frac{3}{10}x =-9\\=>x=\frac{-9*10}{3} =-30[/tex]

may you plz help this is due today plz i will mark you brainlist

Answers

there you go! thoose are the answers

Answer:

1 whole numbers: 15 134 -18 rational numbers:-1/3 2.4:  2 0.09, 1/9 9/10 91%: 10.5 5/4 1 1/5 100%

Step-by-step explanation:

Howie wants to get a $250 loan with a simple interest rate of 4%.

Which expression can be used to find the TOTAL amount that must be repaid on this loan?



1Points
A
250 + 4%

B
250 x 0.04

C
(.04 x 250) + 250

Answers

Answer:

w

Step-by-step explanation:

a

PLEASEEEEEEEEEEE NO ONE IS HELPING ME!!!!!!!!

George was writing a paper for English class. He has already written 1 complete page. He plans on writing his paper at a rate of 2 pages per hour. Show all work and explain your answers clearly. Use complete sentences.

How many pages will George have written after 3 hours?

Answers

Answer:

George would have 7 pages complete

Step-by-step explanation:

Since he has 1 paper complete now and after 3 hours he would have 7 since 3x2=6 and 6+1=7

What’s point B’
What’s point C’
After being dilated by a scale factor 1.5?

Answers

Given:

The given figure is dilated by a scale factor 1.5.

To find:

The coordinates of B' and C'.

Solution:

If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is

[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]

From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).

The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is

[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]

[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]

[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]

[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]

Using this rule, we get

[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]

[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]

[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]

And

[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]

[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]

[tex]C(-2,2)\to C'(-6,-6)[/tex]

Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).

Helpppppppppppppppp ill mark you brainlist write in y=mx+b form

Answers

Answer:

y=3x+2

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

facts: slope is m, and b is y-intercept

y=3x+2

hope this helps!

find the mean median and mode of the data set :15,11,14,10,12,15,15

Answers

Answer:

Mean = 13.14, Median = 14, Mode = 15

Step-by-step explanation:

The mean is the numbers added together divided by the number of numbers

15 + 11 + 14 + 10 + 12 + 15 + 15 = 92

92 / 7 = About 13.14

The median is the middle of the numbers ordered from least to greatest

10 11 12 14 15 15 15

14 is in the middle so that is the median.

The mode is the number showing up the most.

15 shows up 3 times so it is the mode.

16-2<5
solveeeeee itttttt​

Answers

[tex]b-2<5\\b<5+2\\b<7[/tex]

Therefore, the answer is b < 7.

a grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16 which number could be the number of packages of flour tortillas the clerk put on the shelf?​

Answers

23 I think ya that sounds right

Answer:

1222222222

Step-by-step explanation:


What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?

Answers

Answer:

y = -6x + 7

Step-by-step explanation:

In this question, we need to find the equation of a line with the given information.

We know that the line passes through (2, -5).

We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.

To make it simpler to understand, we can change the equation into slope format:

y = -6x + 6

This means that our new line should have a slope of -6.

With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.

Plug in your slope and coordinates to the y = mx + b equation and solve for b:

-5 = -6(2) + b

-5 = -12 + b

Add 12 to both sides.

7 = b

Our y-intercept would be b.

Now, we can plug in all our information to get our new equation:

y = -6x + 7

Your answer would be y = -6x + 7

Write 24 as a product of primes.
Use index notation when giving your answer.​

Answers

Answer:

2^3 * 3

Step-by-step explanation:

Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23

To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.

This is much easier to do than it sounds like in this explanation.

Start with 24.

24/2 = 12

12/2 = 6

6/2 = 3    3 is not divisible by 2, so we move on to 3.

3/3 = 1    We got to 1, so we are done.

The prime factorization is the product of all the prime numbers we divided by which are in bold.

24 = 2 * 2 * 2 * 3

Now we index it:

24 = 2^3 * 3

Find the unit rate. Round to the nearest hundredth, If necessary.
$290 for 12ft

Answers

Answer:

24.17

Step-by-step explanation:

Answer:

$24.17 per feet

Step-by-step explanation:

290/12=24.1666...

24.16666 rounds to 24.17

please help its timed​

Answers

Answer:

A.) f(x) = 45 - 4(x - 1)

Step-by-step explanation:

Help please 25 Points + Brainliest
x=6 y=4 solve 3x^2y+4x/y

Answers

Answer:

114. There is something wrong with the options im 100% sure its 114 talk to your teacher.

The solution is just to substitute

find the quotient. Problem is below

Answers

Answer:

26/9

Step-by-step explanation:

whenever you divide fractions, they turn into a multiplication problem and use the second fraction's reciprocal. so it would look something like this:

13/2 * 4/9

just do straight multiplication

numerators: 13*4 = 52

denominators: 2*9 = 18

52/18 = 26/9


The balance in Alex's bank account is $675. The account
earns 6% simple interest calculated twice per year. If Alex
makes no deposits or withdrawals for 2 full years, the
balance in his account (rounded to the nearest dollar) will
be -
Select one:
O
$852
$715
$837
$756

Answers

Answer:

$852

Step-by-step explanation:

From the given question, the following are given:

Present value, PV = $675

Rate, r = 6% = 0.06

Number of years, n = 2 years

Number of times per year, m = 2

The balance in his account is the future value (FV), so that;

Future value = PV[tex](1+r)^{nm}[/tex]

                     = 675[tex](1+0.06)^{(2*2)}[/tex]

                     = 675 x 1.26248

                     = 852.174

Future value = $852

Thus, the balance in Alex's account would be $852.

riangle ABC is transformed using the rule (x, y) - (-x-3, y + 2). Which set of points describe triangle A'B'C'?
O A (1, 4), B'(-3,-1), C'(-1, -3)
O A (-7, 4), B' (-3,-1), C'(-5,3)
O A(-5, -2), B' (0, 2), C' (2,0)
O A' (4,4), B' (0-1), C' (2, -3)

Answers

The answer for this one would be A becuase

Answer:

b

Step-by-step explanation:

Kia has 4 necklaces , 7 bracelets ,and 5 rings to bracelets

Answers

Answer:

What are you asking?

Step-by-step explanation:

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