Answer:
Price before tax: $ 50.00
+ Sales tax (8.5%): $ 4.25
Total price including tax: $ 54.25
Step-by-step explanation:
A sales tax is a tax that is levied on the purchase of goods and services. Except for Alaska, Delaware, Montana, New Hampshire, and Oregon, all states in the United States and the District of Columbia charge a state sales tax when you buy goods or pay for services. Alaska, like many other states, allows local governments to levy local sales taxes. Certain kinds of goods are exempt from sales tax in some states. In Massachusetts, for example, there is no sales tax on ordinary supermarket goods. There are also extra tax surcharges in several states. Restaurants and motels in the hospitality business sometimes levy a tax rate greater than the state sales tax rate. Expected sales tax rates and potential tax surcharge rates should be checked with your state and area.
Sales Tax Calculation Formulas
Sales tax rate = sales tax percent / 100Sales tax = list price * sales tax rateTotal price including tax = list price + sales tax, orTotal price including tax = list price + (list price * sales tax rate), orTotal price including tax = list price * ( 1 + sales tax rate)James ordered a $10.20 meal and Mark ordered a $9.50 meal. If the sales tax is 7% and they leave a 15% tip on the price of the meal including tax, then what was the tota!?
Answer:
The total cost of the meal is $24.24
Step-by-step explanation:
Step 1: Combine the two meal costs.
10.20 + 9.50 = 19.70
Sales tax is 7%, so multiply 19.70 by 0.07 then add the sum to 19.70
19.70 * 0.07 = 1.379
19.70 + 1.379 = 21.079
They leave a 15% tip on the meal, including tax, so take 15% of 21.079 or 21.079 * 0.15, which equals 3.16185
Add 3.16185 to 21.079
This equals 24.24085
Round down to $24.24
Alannah picked out 10 apples that cost a total of $5. On her way to the checkout counter, she decided she really wanted 12 apples. If all the apples are the same price, how much will Alannah pay for 12 apples? Explain how each child came up with their answer?
6 dollars for 12
Step-by-step explanation:
if she paid 5 dollars for 10, you would do 10/ 5 which would get you 2 dollars per apple so she would pay 6dollars for 12 apples
Are a 10-degree angle and a 65-degree angle complementary
angles?
Are a 40-degree angle and a 50-degree angle
complementary angles?
Are a 140-degree angle and a 40-degree angle
supplementary angles?
Are a 120-degree angle and a 60-degree angle
complementary angles?
Answer:
Complementary angles means sum of angles must to 90 degrees.
Supplementary angles means sum of angles must be 180 degrees.
1.
10 degree + 65 degree = 75 degree
10 degree + 65 degree ≠ 90 degree
So, 10-degree angle and a 65-degree angle are
not complementary angles.
2.
40 degree + 50 degree = 90 degree
So, 40-degree angle and a 50-degree angle are
complementary angles.
3.
140 degree + 40 degree = 180 degree
So, 140-degree angle and a 40-degree angle are
supplementary angles.
4.
120 degree + 60 degree = 180 degree
120 degree + 60 degree ≠ 90 degree
So,120-degree angle and a 60-degree angle are
not complementary angles
Round 0.675 to the nearest tenth
Answer:
0.70
Step-by-step explanation:
it’s 0.70 because the 0.675 is rounded
The 7 is more than 5 so it’s closer to 8 which that you round up the 6 to a 7 and the same thing with 5. So that is how I know it’s 0.70 after rounding it.
Answer:
0.70
Consider the rounding rule for each place.
6 ≈ next tenths
7 ≈ next tenths
5 ≈ next tenths
This is because...
Below 5? Round down.5? Round up.More than 5? Round up.Does the pair of ratios form a proportion?
85 , 42
18 9
Answer:
Not Proportional
Step-by-step explanation:
85:42 :: 18:9
85 x 9 = 42 x 18
765 = 776
They are not equal, so they cant be proportional.
what is the mean age of a girl on the swimming team?
Answer:
15Step-by-step explanation:
what is the mean age of a girl on the swimming team?
adding the number of girls together and then dividing by the number of girls
(15 + 17 + 19 + 12 + 14 + 18 + 12) : 7 =
107 : 7 = 15.28 (you can round at 15)
Could you help me with this for 50? points.
HELP PLS
The function of F is defined by f(x)=x+2
find F(n-4)
The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
f(x) = x + 2
The value of f(n - 4) is given as:
f(n - 4) = n - 4 + 2 = n - 2
The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2
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Can you please help me with number 5 asap? Thank you! : )
Step-by-step explanation:
the manufacturing costs are defined by
m(x) = 25x + 150
the selling revenue is defined by
s(x) = 50 + 30x = 30x + 50
clearly, the selling amount is bigger than the manufacturing amount (also supported by the fact that 30x > 25x). otherwise the company is going bankrupt in no time.
so,
a)
the profit is (as usual) revenue minus manufacturing :
p(x) = 30x + 50 - 25x - 150 = 5x - 100
b)
x = 150
p(150) = 5×150 - 100 = 750 - 100 = $650
since the result is positive, yes, they are making a profit. and it is $650.
Answer:
5.a) p = 5x - 100
b)p = $650
Step-by-step explanation:
5.a)
Revenue minus cost:p - Profit
p - Profitc - Cost
p - Profitc - Cost - revenue
p = r - c
p = (30x + 50) - (25x + 150)
p = 5x - 100
b) The company will make profit.
p = 5x - 100
p = 5(150) - 100
p = 750 - 100
p = $650
or
p = (30×150 + 50) - (25 × 150 + 150)
p = $650
How many solutions over the complex number system does this
polynomial have?
3x6x³4x² + 3x+52=0
Answer:
For this case we have the following polynomial.
We note that the polynomial graph cuts only the vertical axis at one point.
The graph has no other cut points on the x axis
Therefore, the polynomial has:
6 complex solutions
0 real solution
Step-by-step explanation:
Draw a line representing “rise” and line representing the “run of the line state the slope of the line .state the slope of the line in the simplest form.
Answer:
slope 4/5
Step-by-step explanation:
The attachment shows the rise in green (4 grid squares), and the run in red (5 grid squares). The slope is the ratio rise/run.
__
The slope is rise/run = 4/5.
What is the coefficient of x after simplifying the expression?
7y + 4x + 4 - 2x +8
Answer:
The coefficient of x is 2.
Step-by-step explanation:
1) Add the numbers
7y + 4x + 4 - 2x + 8
7y + 4x + 12 - 2x
2) Combine like terms
7y + 4x + 12 - 2x
7y + 2x + 12
3) Rearrange items
7y + 2x + 12
2x + 7y + 12
Find the equation of the line passing through the points (−4,−7) and (−4,−6).
Your answer should take the form x=a or y=a, whichever is appropriate.
Answer:
y=x-7
Step-by-step explanation:
Rise over run
-6-(-7)
---------- = 0
-4-(-4)
Point Slope form
y+7=0(x+4)
Y=MX + B
y=x-7
The equation of the line passing through the points (−4,−7) and (−4,−6) in the form of a will be a + 4 = 0.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The equation of the line passing through the points (−4,−7) and (−4,−6) will be
y + 6 = [(−6 + 7) / (−4 + 4)] (x + 4)
y + 6 = (1/0)(x + 4)
x + 4 = 0
Put x = a, then the equation will be
x + 4 = 0
a + 4 = 0
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A firm pays $52 for a car seat and wants a 34% markup for operating expenses as well as a 6% markup for profit. However, customers think the car seats are ugly, so they are not selling. Management reduces the price of each car seat by $25 to get rid of them.
Answer:
See Below
Step-by-step explanation:
Initial cost = $52
Markup for operating expenses = 34%
$52 + 34% = $52*1.34 = $69.68
Markup for profit = 6%
69.68 + 6% = 69.68*1.06 = 73.86 (rounded)
a) The selling price is $73.86
b) The reduced price is:
$73.86 - $25 = $48.86
c) The percent of markdown:
25/73.86*100% = 33.85% (rounded)
d) The absolute loss:
$69.68 - $48.86 = $20.82
Sequence of 2,-6,-14,-22 determine the n term
Answer:
[tex]a_{n}[/tex] = - 8n + 10
Step-by-step explanation:
the sequence has a common difference between consecutive terms , that is
- 6 - 2 = - 14 - (- 6) = - 22 - (- 14) = - 8
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 2 and d = - 8 , then
[tex]a_{n}[/tex] = 2 - 8(n - 1) = 2 - 8n + 8 = - 8n + 10
I really need help with this.
Answer:
300 cm cubed or 300 cm^3
Step-by-step explanation:
(b x h ) / 2 = Area of triangle
5 x 12 = 60
60 / 2 = 30
Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.
30 x 10 = 300 cm cubedor 300 cm^3
Answer:
1/2BA*2+l*w
1/2*12*5*2+10*13+12*10+10*5
=360cm
A rug had a length of 9 feet and a width of 3 feet what is the perimeter of the rug
Answer:
24 ft
Step-by-step explanation:
to find the perimeter of rug is you have to add 9+9+3+3= 24
which is the graph of f(x)=3√x
Answer: The first graph
Step-by-step explanation:
It's the first one. I don't know how to explain, haha.
Please help me for the 2nd part
there isn’t an image provided I can’t help unless you give an image
You may use k to represent the constant of variation in your working if necessary.
Answer:
r = 1.6
Step-by-step explanation:
given r varies directly with m² and inversely as n then the equation relating them is
r = [tex]\frac{km^2}{n}[/tex] ← k is the constant of variation
to find k use the condition r = 18 when m = 6 and n = 4 , then
18 = [tex]\frac{k(6)^2}{4}[/tex] = [tex]\frac{36k}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
72 = 36k ( divide both sides by 36 )
2 = k
r = [tex]\frac{2m^2}{n}[/tex] ← equation of variation
when m = 2 and n = 5 , then
r = [tex]\frac{2(2)^2}{5}[/tex] = [tex]\frac{2(4)}{5}[/tex] = [tex]\frac{8}{5}[/tex] = 1.6
Isosceles and equilateral triangles
Solve for X
Answer:
11
Step-by-step explanation:
48 = 4x + 4 two of its angles are equal in measurement
- 4 - 4
44 = 4x
---- ----
4 4
11 = x
f(x) = x² + 2x − 3
Find f (2)
f(2) is equal to type your answer...
Answer:
f(2) = 5
Step-by-step explanation:
Given: f(x) = x² + 2x - 3
We are asked to find the value of the function when x = 2.
In the function, substitute 2 as the value of x and simplify:
f(2) = (2)² + 2(2) - 3
f(2) = 4 + 4 - 3
f(2) = 8 - 3
f(2) = 5
When x is equal to 2, the value of the function is 5.
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The pool company has learned that, by pricing a newly released Fun Noodle at $5, sales with reach 8000 Fun noodles per day during the summer Raising the price to $6 will cause the sales to fall to 5000 fun noodles per day
I need help on these 2 questions how did I get it wrong? and for question 3 I'm not supposed to have the = sign so what am I supposed to replace it with?
Answer:
3.
m + 7 ≥ 20
Subtract 7 on both sides,
m ≥ 20 - 7
m ≥ 13
The answer is m ≥ 13.
( you need to include both > and =, that is ≥ )
4.
2.1x = 23.1
Divide 2.1 on both sides,
x = 23.1 / 2.1
x = 11
Answer:
For problem #3, we are given [tex]m+7\geq 20[/tex] so we would just subtract 7 from both sides to get rid of the 7 on the left and that would end up subtracting 7 from 20 also leaving us with [tex]m\geq 13[/tex].
For problem #4, we are given [tex]2.1x=23.1[/tex] so we would just divide both sides by 2.1 which would get rid of the 2.1 on the left and that would also make us divide 23.1 by 2.1 leaving us with [tex]x=11[/tex].
Hope this helps! Let me know if you have any questions
Find the value of D of a square and the sides are 4 n 4 n 4 n 4 and D is diagonal
Answer:
D = 4√2Step-by-step explanation:
Formula:
In a square with sides each of length ‘a’ :
The diagonal D of the square = a√2
…………………………………………………………
The square ,in our example has 4 sides all of Length 4 ,then
D = 4√2
HELPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!
Based on the picture below what would the genotypes of the parent plants be? Use the other questions to help you answer this.
Thank you so much.
Answer:
ant sorry you no entendía
Which of the following sets does not contain any irrational numbers?
PICTURE OF SETS SHOWN BELOW.
Thank you so much
17. A farmer sells com to a restaurant and a grocery store. One week, the farmer sells a combined
total of more than 120 bushels.
Which graph best represents the solution set for all possible combinations of x, the number of
bushels sold to the restaurant, and y, the number of bushels sold to the grocery store, for the
week?
The graph best represents the solution set for all possible combinations of x and sold to the grocery store, for the week is option D.
Which graph describes the possible combinations sold?
A graph can be described as a pictorial representation of data. The bushels of corn sold is greater than 120. Thus, the shaded area should be above the line and the line should be a straight line.
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Simplify: (12j2)5(25j3)2.
Simplified
[tex](2^3\cdot3\cdot5^3j^5)[/tex]
Step-by-step explanation:
[tex](((12 \cdot (j2)) \cdot 5) \cdot 52j3) \cdot 2[/tex]
[tex](((22\cdot3j2) \cdot 5) \cdot 52j3) \cdot 2[/tex]
[tex]((22\cdot3\cdot5j2) \cdot 52j3) \cdot 2[/tex]
[tex]2^(^2^+^1^) = 2^3[/tex]
[tex](2^3\cdot3\cdot5^3j^5)[/tex]
