A group of friends went to lunch. The bill before sales tax and tip was $37.50. A sales tax of 8% was added. The group then tipped 18% on the amount after the sales tax was added. What was the amount, in dollars, of the sales tax?
What was the total amount the group paid, including tax and tip?
Sales Tax = $3.00
The total amount paid by the group was $48.15
The amount of the sales tax can be calculated by multiplying the pre-tax bill of $37.50 by the sales tax rate of 8%:
Sales tax = $37.50 * 8% = $3.00
The total amount paid including tax and tip can be calculated by adding the amount of the sales tax to the pre-tax bill and then calculating the tip on the new total:
Total = $37.50 + $3.00 + ($37.50 + $3.00) * 18% = $37.50 + $3.00 + $7.65 = $48.15
So the total amount paid by the group was $48.15.
A hospital near a ski resort records the type of injuries treated during ski season and other seasons and other seasons over a year. the results shown in the table will help determine the medical staff that is required at different times of the year. according to the data in the table, what is the probability that a patient will need to be treated with a broken bone during ski season.
Answer:
The answer is C
Step-by-step explanation:
You have to divide both numerators then the denominater.
So, it would look like: 160 over 90 x 100 over 290
160x100=16 90x290=25 16/25
Find the area of the shaded
NO DOCS,LINKS, FILES ETC
LOTS OF POINTS
WILL MARK BRAINLYEST
Answer:
40.5 m²
Step-by-step explanation:
Area of the shaded = area of the square - area of the triangle
Area of square = s²
s = 9 m
Area of square = 9² = 81 m²
Area of triangle = ½*b*h
b = 9 m
h = 9 m
Area of triangle = ½*9*9 = 40.5 m²
Area of the shaded = 81 - 40.5 = 40.5 m²
Can someone help fast please!!!!
Answer:
yes it is
Step-by-step explanation:
PLEASE HELP!!!!! PLEASE GIVE A EXPLANATION AND SHOW WORK!!!! THANK YOU!!!!
In 2018, the population will grow to over 700,000. The population of a city in 2010 was 450,000 and was growing at a rate of 5% per year. In what year will the population be over 700,000? Show all work.
Answer:
2019
Step-by-step explanation:
2010: 450,000
2011: (5% of 450,000) + 450,000 = 472,500
2012: (5% of 472,500) + 472,500 = 496,125
2013: (5% of 496,125) + 496,125 = 520,931.25
2014: (5% of 520,931.25) + 520,931.25 = 546,977.8125
2015: (5% of 546,977.8125) + 546,977.8125 = 574,326.703125
2015: (5% of 574,326.703125) + 574,326.703125 = 603,043.038281
2016: (5% of 603,043.038281) + 603,043.038281 = 633,195.190195
2017: (5% of 633,195.190195) + 633,195.190195 = 664,854.949705
2018: (5% of 664,854.949705) + 664,854.949705 = 698,097.69719
2019: (5% of 698,097.69719) + 698,097.69719 = 733,002.582049
Basically, take five percent of the population of the year and add it to the population of the previous year. This is the long way of doing it, but you get the population count for each year.
Which of the following equations show the relationship between x and y in the table?
1. y= x+3
2. Y= 3x+1
3. Y=2x+2
4.y=4x
Answer:
y=2x+2
Step-by-step explanation:
you have to substitute x and y in the given equations and which one works
for y=x+3 , 4=1+3 true , 6=2+3 false
for y=3x+1, 4=3*1+3 false
for y=2x+2, 4= 2*1+2 true, 6= 2*2+2 true, 8= 2*3+2 true, 10=2*4+2 true
for y=4x, 4=4*1 true, 6= 4*2 false
If a family has 7 children, in how many ways could the parents have 4 boys and 3 girls as children?
Answer:
add the 3 and 4
Step-by-step explanation:
What IS the approximate length of arc s on the circle below? Use 3.14 for T Round your answer to the nearest
tenth.
Answer:
14.1 inches
Step-by-step explanation:
The formula to be used to find the arc length is Ф = s(arc length) / r(radius)
First we rearrange the formula to find the arc length which would be s = Ф * r
This formula only works in radians so the first step is converting 135° to radians so we would do 135° * π radians/180° which would give us 3π/4
We would then multiply 3π/4 * 6 and get 18π/4, plugging that value into a calculator returns us a value of ≈ 14.137
We then round to the nearest tenth and get an answer of 14.1 inches for the arc length of the circle below
I just need help appreciate it and have a great day
On solving the provided question, we can say that - by doing the fraction we have 3/12 = 1/4
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
balloons is 12
blew up is 1/3
friend blew up is 5
1/3*12 = 4
4+5 = 9
3/12 = 1/4
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What is 1/4 : 3/4 :: 75 : =
Answer:
75 : 225
Step-by-step explanation:
[tex]\frac{\frac{1}{4} }{\frac{3}{4} } :\frac{75}{y}[/tex]
0.25 × y = 0.75 × 75
0.25y = 56.25
0.25y ÷ 0.25 = 56.25 ÷ 0.25
y = 225
HAVE A NICE DAY
WILL GIVE BRAINLST :)
Answer:
1. A
2. C
Step-by-step explanation:
The equation below represents the amount of work required to complete a project, where x represents the number of hours each group member must contribute to the project. How many hours does each group member work on the project? x+45/4=4x 2 hours 4 hours 16 hours 3 hours
The number of hours does each group member work on the project is 4 hours. Therefore, the correct answer is option B.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is x+45/4=4x.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
4x-x=45/4
3x=45/4
x=15/4
x=3.75
x≈4 hours
Therefore, option B is the correct answer.
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Answers are
(-1,3)
(0,2)
(1,2)
(2,-1)
(2,2)
2. What number is a common multiple of
5 and 9?
What is the length of the longest diagonal
Answer:
pi 3.1415926535897932384626433832795
Kim is thinking of a prime number.
It is in between a multiple of 11 and a factor of 48
What number is Kim thinking of?
Answer:
35
Step-by-step explanation:
Irregular polygons has sides that are not equal lenght and angles that are not equal?
TRUE OR FALSE?
Answer:
yeah it's true
Step-by-step explanation:
regular polygon have all equal side and all equal angleIRREGULAR polygon have atleast one unequal side and one unequal angle............THANKS.........
Solve algebraically the simultaneous equations 2x^2-y^2=17 x+2y=1
Here we go...
= 2x² - y² = 17
= 2x² = 17 + y²
= x² = 17 + y²/2
= x = √17+y²/2
= x + 2y = 1
= x = 1 - 2y
___________________
Sry,if i misunderstood the question.. do let me know in the comment section
The population growth of a certain city is given by the function P(t) = 0.9(1.5)^t, where t is time in years. Estimate lim P(t), if it exists.
Answer:
Infinity (∞)
Step-by-step explanation:
Graph the function and observe that the function P(t) increases without bound as x increases.
You stand 25 m from the base of a tree and the angle of elevation from the ground to the top of the tree is 48 degrees. How tall is the tree?
Answer:
ffyftxrrxrrxcvcmuvcyztzxvujgyh
Step-by-step explanation:
✋☝☝✊✋❤❤❤
HELP ME !!
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer:
<1=62
<2=83
<3=35 this is the answer of this question
Please help meeeeeee!!!!!!!!
Answer:
A
Step-by-step explanation:
Hi I don't usually upload pictures but I was too lazy to type so I did it on paper. I had to get the numbers in the parenthesis out so I multiplied the + by everything in the parenthesis following the negative and positive multiplication rules. Then, I combined and subtracted like terms.
Hope this helps !!
-Ketifa
In this figure question attached
Answer:
x = 20°
Step-by-step explanation:
x = 180 - (70 + 90)
x = 180 - 160
x = 20°
Hope this helps!
how do you get 3/8 from 13/8
You can get 3/8 from 13/8 by subtraction. The solution is 10 / 8
How to get 3/8 from 13/8In order to get 3/8 from 13/8 we would have to carry out a subtraction of fractions.
That is we would have: 13/8 - 3/8
take the lcm of the denominator
[tex]\frac{13 - 3}{8}[/tex]
= 10 / 8
Hence when we take 3 / 8 from 13 / 8, the solution that we would have would be from subtraction. This is 10 / 8
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Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
∠GAF ≌ ∠TAE.
∠TAE and ∠FAH are complementary.
∠TAF is obtuse.
Answer: Choice A
angle GAF = angle TAE is the lie (aka false statement)
========================================================
Explanation:
Let's go through each answer choice to see which is true or which is false.
-----------------------------
Choice A
The markers for angles GAF and TAE are different. Both would need to have a single angle marker, or a double angle marker. The differing markers indicates the angles aren't the same.
Also, note that angle TAG isn't a 180 degree angle, or that point G isn't on line TA. We need this to be the the case, so that two vertical angles form. However, such a thing doesn't happen.
So that's why angles TAE and GAF aren't the same measure.
Choice A is the answer. You can stop here if you wanted.
-------------------------------
Choice B
Let
x = measure of angle TAE
y = measure of angle TAH
z = measure of angle HAF
We can see that x+y+z = 180, since angle EAF is a straight angle. The diagram gives y = 90 and z = 50, so,
x+y+z = 180
x+90+50 = 180
x+140 = 180
x = 180-140
x = 40
Angle TAE is 40 degrees. It adds with angle FAH to get 40+50 = 90, showing that the two angles are indeed complementary.
Choice B is a true statement, so we can rule it out.
-------------------------------
Choice C
Angle TAF is composed of angles TAH and HAF
Adding the two angles gets us 90+50 = 140, which is larger than 90.
Therefore angle TAF is obtuse.
Choice C is a true statement, and it can be ruled out as well.
Technically you could have stopped at choice A once you found the lie, but I figured to show why choices B and C could be ruled out.
The dimensions of a rectangular Pyramid are shown in the diagram below what is the volume of the rectangular pyramid in cubic
Answer:
160 in³
Step-by-step explanation:
Volume of rectangular pyramid, V = (Length * width * height) / 3
Length = 10 in ; width = 8 in ; height = 6 in
V = (10 * 8 * 6) / 3
V = 160 in³
Consider the following. 12, 7, 18, 23, 24, 27 Compute the population standard deviation of the numbers. (Round your answer to two decimal place.) (a) Double each of your original numbers and compute the standard deviation of this new population. (Round your answer to two decimal place.) (b) Use the results of part (a) and inductive reasoning to state what happens to the standard deviation of a population when each data item is multiplied by a positive constant k.
Answer:
(a) [tex]\sigma = 7.04[/tex]
(b) [tex]\sigma = 14.1[/tex]
(c) The population standard deviation is multiplied by k
Step-by-step explanation:
Given
[tex]Dataset: 12, 7, 18, 23, 24, 27[/tex]
Solving (a): The population standard deviation
Start by calculating the mean
[tex]\mu = \frac{\sum x}{n}[/tex]
[tex]\mu = \frac{12+7+18+23+24+27}{6}[/tex]
[tex]\mu = \frac{111}{6}[/tex]
[tex]\mu = 18.5[/tex]
The population standard deviation is:
[tex]\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}[/tex]
This gives:
[tex]\sigma = \sqrt{\frac{(12-18.5)^2 + (7 - 18.5)^2 + (18-18.5)^2 + (23-18.5)^2 + (24 - 18.5)^2 + (27 - 18.5)^2}{6}}[/tex]
[tex]\sigma = \sqrt{\frac{297.5}{6}}[/tex]
[tex]\sigma = \sqrt{49.5833}[/tex]
[tex]\sigma = 7.04[/tex]
Solving (b): Double the dataset and calculate the new population standard deviation
The new dataset is:
[tex]Dataset: 24, 14, 36, 46, 48, 54[/tex]
Start by calculating the mean
[tex]\mu = \frac{\sum x}{n}[/tex]
[tex]\mu = \frac{24+ 14+ 36+ 46+ 48+ 54}{6}[/tex]
[tex]\mu = \frac{222}{6}[/tex]
[tex]\mu = 37[/tex]
The population standard deviation is:
[tex]\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}[/tex]
This gives:
[tex]\sigma = \sqrt{\frac{(24-37)^2 +(14-37)^2 +(36-37)^2 +(46-37)^2 +(48-37)^2 +(54-37)^2}{6}}[/tex]
[tex]\sigma = \sqrt{\frac{1190}{6}}[/tex]
[tex]\sigma = \sqrt{198.33}[/tex]
[tex]\sigma = 14.1[/tex]
Solving (c): What happens when the dataset is multiplied by k
In (a), we have:
[tex]\sigma = 7.04[/tex]
In (b), when the dataset is doubled,
[tex]\sigma = 14.1[/tex]
This implies that when the dataset is multiplied by k, the population standard deviation will be multiplied by the same factor:
i.e.
[tex]New \sigma = k * \sigma[/tex]
Given that X≈2 is an approximate solution to x^2+2x-2=5, use the graph to find another approximate solution round your answer to the nearest integer. X≈ ___
The nearest integer that is a solution, gotten through graphing of the quadratic function x² + 2x - 2 = 5, is x = -4
How to find the graphical solution of the functionQuadratic equations when plotted on a graph follows a parabolic path.
To plot the functions there will be table of values that is used in making the graph. The table of values is solved as follows
x² + 2x - 2 = 5 rearranging the equation will result to x² + 2x - 7 = 0
For x = -20, y = (-20)² + 2 * -20 - 7 = 353
For x = 0, y = (0)² + 2 * 0 - 7 = -7
For x = 20, y = (20)² + 2 * 20 - 7 = 433
x y
-20 353
0 -7
20 433
The graph is plotted and attached. From the graph the solution is
x = -3.828, to the nearest integer = -4
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Suppose that $20,000 is invested at 9% interest, compounded annually. After time t, in years, it grows to the amount A given by the function A(t) = $20,000(1.09)
a) Find the amount of time after which there will be $200,000 in the account.
b) Find the doubling time.
After what amount of time will there be $200,000 in the account?
Answer:
Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = [log (200,000) -log (20,000)] / log (1.09)
Years = [5.3010299957 -4.3010299957] / 0.037426497941
Years = 1 / 0.037426497941
Years = 26.7190374471
*************************************************
Finding Doubling Time : (We'll calculate $100 becoming $200)
Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = log (200) -log (100) / log(1.09)
Years = (2.3010299957 -2) / 0.037426497941
Years = .3010299957 / 0.037426497941
Years 8.0432317278
It takes 8.0432317278 years for money to double at 9% per year.
Source:
http://www.1728.org/compint2.htm
Step-by-step explanation:
Below is a dot plot showing how much time customers spent in a store, rounded to the nearest five minutes. Which of the following is a representative sample of this population?
NEED THIS BAD PLEASE HELP ME!!!!!!!
Answer:
D
Step-by-step explanation:
i did a test with the same question
The representative sample of the population displayed by the dot plot is: dot plot D.
What is a Representative Sample of a Population?The representative sample of a population can be described as a subset of a particular population which displays or exhibit similar characteristics of the larger population group.
From the image given, the dot plot that reflects the characteristics of the dot plot of the population is the dot plot in option D.
Dot plot D is a representative sample.
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