$75 before tax. Disc: 10% Tax: 7%, Tip: 20% what's the total PLEASE help

Answers

Answer 1

Answer:

  total: $86.68

Step-by-step explanation:

The value of each change is found by multiplying the base amount by the percentage change. The result is rounded to the nearest cent. Here, we're applying 3 changes. In order to make sure they're rounded properly, we need to apply them in order

__

discount

The discount amount is ...

  discount = bill × 10% = $75.00 × 0.10 = $7.50

The discounted amount is ...

  bill - discount = $75.00 -7.50 = $67.50

__

tax

The tax amount is ...

  tax = discounted bill × tax rate = $67.50 × 0.07 = $4.725 ≈ $4.73

The bill with tax added is ...

  discounted bill + tax = $67.50 +4.73 = $72.23

__

tip

The tip is apparently added to the amount after tax, so the amount of the tip is ...

  tip = taxed bill × 0.20 = $72.23 × 0.20 = $14.446 ≈ $14.45

The bill with tax and tip added is ...

  total bill = $72.23 +14.45 = $86.68

_____

Additional comment

At each stage, the amount can be found by using the multiplying factor (1+p), where p is the percentage change. All three factors applied gives a result of ...

  75×(1-0.10)(1+0.07)(1+0.20) = 75×0.9×1.07×1.2 = 86.67

You will note this differs by a penny from the amount calculated above. That is a consequence of rounding up both the tax and the tip.


Related Questions

solve pls brainliest

Answers

Answer:

4 pt = 8 cups

28 qt = 7 gallons

Step-by-step explanation:

We know, from your chart, that 1 p = 2 c

4 p is four times 1 p

so, to scale up 1 pint to 4 pints, we multiply by 4

to figure out what the corresponding number of cups would be, we also have to multiply that value by 4

if                1 p    =    2 c

then          4 p    =    8 c

               (1 x 4)      (2 x 4)

8 cups

--------

If we have 28 quarts, and we know that 4 quarts is 1 gallon, we can divide 28 / 4 to find how many gallons are in 28 quarts (or, how many gallons can be made of 28 quarts)

28 / 4 = 7

7 gallons

I need this answer quickly please :)

Answers

monkey B

Step-by-step explanation:

f(x) = 16x2 + 32x − 9?

Step-by-step explanation:

c beacuse if you subtract 8 by 2 you get 6 times x

using the equation y^2=-5/4(x-2), find the equation of the directrix

Answers

Answer:

Step-by-step explanation:

since its a horizontal parabola opening to the right we use a formula for the directrix

 x=h-p 4p=5/4 p=5

X= -3 v(h,k)=(2,0)

Solve the following absolute value equation. |2+1 = 3 3 2 = -[ ]

Answers

Answer:

Sorry

Step-by-step explanation:

I not know this one

HELP PLS….Volume of cones
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for and round your final answer to the nearest hundredth.

Answers

Answer:

20.93 units cubed

Step-by-step explanation:

[tex]V = \frac{3.14(2)^{2}(5) }{3} \\V = \frac{3.14(4)(5) }{3}\\V = \frac{62.8 }{3}\\V = 20.93[/tex]

Which is a true statement about the dot plot?
The team never scored exactly 2 goals in a single game.
The team scored exactly 1 goal in 3 games this season.
The most goals the team scored in a single game were 8.
The team scored exactly 3 goals in 4 games this season.

Answers

The statement that is true about the given dot plot is: A. Exactly 2 goals was never scored by the team in a single game.

What is a Dot Plot?

A dot plot is a graphical representation of data using dots to denote the frequency of one data point in a distribution.

In the dot plot given, for number of goals scored per game, the data point 2 has no dot. Therefore, the statement that is true about the dot plot is: A. Exactly 2 goals was never scored by the team in a single game.

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If triangle abc and triangle def are similar, then their corresponding sides are proportional. if , then . answer the following questions what is the hypothesis? what is the conclusion? what is the converse? is it true? if the converse is not true, give a counter-example. what is the inverse? is it true? what is the contrapositive? is it true?

Answers

The answer to the questions are given below.

What are Similar Triangles ?

The triangles which do not have same side length or angles but are similar in appearance are called similar Triangles .

It is given in the question that

If triangle abc and triangle def are similar, then their corresponding sides are proportional.

The hypothesis is

if the triangle abc and def are similar

The conclusion is

that the triangle abc and def are similar and the sides corresponding are proportional.

The converse is

If the sides of two triangles are proportional then two triangles are similar

Yes it is true

Inverse is if the two triangles are not similar then the sides corresponding are not proportional.

Contrapositive statement is if the sides are not proportional then the two triangles are not similar.

Yes , it is true.

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According to the general equation for conditional probability, if P(AB) =
4/5
and P(B) = 5/6, what is P(AIB)?
A.15/16
B.35/36
C.8/9
D.24/25

Answers

Answer:

[tex]\sf D. \quad P(A|B)=\dfrac{24}{25}[/tex]

Step-by-step explanation:

General equation for conditional probability

[tex]\sf P(A \cap B)=P(A)\:P(B|A)[/tex]

As we need to find P(A|B) we can rewrite the equation:

[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]

Given:

     [tex]\sf P(A \cap B)=\dfrac{4}{5}[/tex]

     [tex]\sf P(B)=\dfrac{5}{6}[/tex]

Remember that [tex]\sf P(A \cap B)=P(B \cap A)[/tex]

Substitute the given values into the formula:

[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]

[tex]\implies \sf \dfrac{4}{5}=\dfrac{5}{6}\:P(A|B)[/tex]

[tex]\implies \sf P(A|B)=\dfrac{4}{5} \div \dfrac{5}{6}[/tex]

[tex]\implies \sf P(A|B)=\dfrac{4}{5} \times \dfrac{6}{5}[/tex]

[tex]\implies \sf P(A|B)=\dfrac{24}{25}[/tex]


300% of 7 is what percent of 42?
A. 30%
B. 50%
C. 60%
D. 12.5
Pls show work or don’t answer thanks

Answers

Answer:

B) 50%

Step-by-step explanation:

300% is the same as 3. So to find 300% of 7 you do 3 times 7 and get 21.

Now you need to find _% times 42 = 21. Divide 21/42 to get 0.5. This is the same thing as 50%.

Hope it helps and have a nice day! :)

The temperature, t, in degrees celsius, in a warehouse changes according to the function t(h) = 18 + 4sin(pi/12 (x = 8)).
where h is the number of hours since midnight. at what rate is the temperature changing at 9 a.m.?

Answers

Answer:

  about 1.01 °C per hour

Step-by-step explanation:

We assume the intended temperature function is ...

  t(h) = 18 +4·sin(π/12(h -8))

We are asked for the rate of change when h=9.

__

derivative

The rate of change of temperature with respect to time is the derivative of t(h) with respect to h.

  t'(h) = 4(π/12)cos(π/12(h -8)) = π/3·cos(π/12(h -8))

at 9 am

For h = 9 hours after midnight, the rate of change is ...

  t'(9) = π/3·cos(π/12(9 -8)) = π/3·cos(π/12) ≈ (3.14159)(0.965926)/3

  t'(9) ≈ 1.01152

The rate of change of temperature at 9 a.m. is about 1.01 °C/hour.

Which combination represents the empty set? motor ⋃ manual motor ⋃ bicycle motor ∩ manual motor ∩ bicycle

Answers

The combination that denotes the empty set{∅} is motor ∩ bicycle.

What is a set theory?

Set theory is the mathematical study of well-defined groups of things called elements of the set.

In the given Venn diagram, the elements in the set of Motor, Manual, and Bicycle are as follows:

Motor = {8, 24}Manual = {24, 32}Bicycle = {44}The union of motor and manual i.e. Motor ⋃ Manual = {24}

The combination that represents an empty set {∅} is the intersection that occurred between motor and bicycle and can be expressed as:

= motor ∩ bicycle

This is because there are no set elements overlapping between motor and bicycle, this makes it an empty set{∅}.

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Answer: motor U bicycle

Step-by-step explanation:

Which trigonometric function requires a domain restriction of [0, pi/2) ∪ (pi/2 , pi]

The ANSWER is f(x) = secx ----- PLEASE EXPLAIN THANK YOU!!!!!

Answers

The trigonometric function requires a domain restriction of [0, π/2) ∪ (π/2, pi] is tan x, sec x.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

tan x = (sin x)/(cos x)    

sec x = 1/(cos x)

cos x becomes zero at {-π/2,π/2}

Therefore, the both of the function are undefined at {-π/2,π/2}

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does someone mind helping me with this question? Thank you!

Answers

Answer: 81

Step-by-step explanation:

Since x is given, just substitute the value.

5(10) + 31

50 + 31 = 81

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

The given expression is :

[tex]\qquad \sf  \dashrightarrow \:5x + 1[/tex]

now, plug in the values of x as 10

[tex]\qquad \sf  \dashrightarrow \:5(10) + 31[/tex]

[tex]\qquad \sf  \dashrightarrow \:50 + 31[/tex]

[tex]\qquad \sf  \dashrightarrow \:81[/tex]

So, required value is 81

From your observation : x⁰=​

Answers

Answer:

=1

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words.
The zeros of the function f(x) = -(x+1)(x-3) ( x+ 2) are -1,3, and blank the y-intercept of the function is located at (0, blank)

Answers

Answer:

see explanation

Step-by-step explanation:

f(x) = - (x + 1)(x - 3)(x + 2)

to find the zeros let f(x) = 0 , that is

- (x + 1)(x - 3)(x + 2) = 0

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

the zeros are x = -1, 3 and x = - 2

to find the y- intercept let x = 0

f(0) = - (0 + 1)(0 - 3)(0 + 2) = - (1)(- 3)(2) = - (- 6) = 6

y- intercept is located at (0, 6 )

I kinda need an explanation on how to solve this.

Answers

Answer:

36.

Step-by-step explanation:

There were 10 elephants that were marked.  Only 4 of those were counted.  The other 26 were new elephants.  Because of this, we know that there were 6 other elephants that were not counted.  There were the 30 counted, and the other 6.  Add those and you get 36.

Answer:

  75 elephants

Step-by-step explanation:

This sort of population study assumes that the probability of catching any particular elephant is the same as for any other.

__

We are given that there is a population of 10 painted elephants, of which 4 of them are caught in a sample of 30 elephants. We know the total population of painted elephants is 10/4 = 2.5 times the number caught in the sample. This suggests the total population of elephants is 2.5 times the sample size.

  estimated population = 2.5 × 30 = 75 . . . elephants


In general, when solving a radical equation with square roots, you should first
isolate the __and then square both sides.
A. variable
B. radical
C. operator
D. coefficient

Answers

The correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.

How to solve radical equations?

To solve radical equations, one common technique is to isolate the radical term first, then take both sides of the equation to a power to remove the radical.

Therefore the correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.

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What is the absolute deviation of 4 in this data set?
{6, 22, 14, 9, 11, 4}
02
O 3
07
11

Answers

Answer:

n

6

Mean

11

Average Absolute Deviation (MAD)

4.6667

Step-by-step explanation:

what’s the best necklace length for a 5’0 female?

A. 16 inches
B. 18 inches

Answers

Answer:

18 inches

Step-by-step explanation:

The most frequent chain length for women's necklaces is 18 inches. This size is appropriate for a lady of medium height and weight.

I need help with this problem, please explain​

Answers

Answer:

v = 164.64

Step-by-step explanation:

Your friend forgot to divide 6.8 by two as 6.8 is the diameter not the radius.  The volume equation needs the radius so you divide 6.8 by 2 which equals 3.4 thats what inputed into the volume equation

What percent of 3 is 1.8

Answers

Answer:

60%

Step-by-step explanation:

Step-by-step explanation:

100% = 3

1% = 100%/100 = 3/100 = 0.03

how many % are 1.8 ? well, as many % as 1% fits into 1.8 :

1.8 / 0.03 = 60%

If you exchange 120 dimes
for dollars, then how many
dollars would you get?

Answers

Answer:

12

Step-by-step explanation:

you divide 120 by 10 since dimes are equal to ten cents

To determine how many dimes are in dollars:

  ⇒ must know the rate of conversion

     ⇒ for every dollar, there are 10 dimes

         ⇒  [tex]\frac{1_. dollar}{10_. dimes}[/tex]

Let's solve:

   [tex]120_. dimes * \frac{1_.dollar}{10_.dimes} = \frac{120}{10} *\frac{dimes}{dimes} *dollar=12_.dollars[/tex]

Thus you would get 12 dollars

Answer: 12 dollars

Hope that helps!

         

Does anybody know this? I keep getting different answers that don t make sense. Find the surface area of the cone

Answers


SA of Cone πr^2(circle area)+ rs π
With r^2+h ^2=s^2
Find the the h which is 2.68
Then you plug ur numbers in the formula which equals 76.45ft
Always double check.

Use a net to find the surface area of the cone to the nearest square centimeter. Use 3.14 for л. The surface area of the cone is about cm². (Round to the nearest whole number as needed.) 19 cm 4 cm (The figure is not drawn to scale.)​

Answers

The surface area of the cone rounded to the nearest whole number is; 289 cm².

How to determine the cone surface area?

We are given the parameters:

Radius; r = 4 cm

Slant height; l = 19 cm

Let us first calculate the base area;

The base is a circle and the area formula for a circle is;

A = πr²

Thus;

A = π(4 cm)²

A = 50.24 cm²

Lateral area;

The circumference of a circle is given by the formula;

C = 2πr

C = 2(π)(4 cm)

C = 25.12 cm

This circumference is the arc length of the sector

The area of the sector is;

 A = 1/2hs

where;

h is the radius of the sector.

s is its arc length

Thus;

A = ¹/₂(19 cm)(25.12 cm)

A = 238.64 cm²

The total surface area is;

SA = 50.24 cm² +238.64 cm²

S.A = 288.88 cm² ≈ 289 cm²

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Answer:

  289 cm²

Step-by-step explanation:

The net for the surface area of a cone is a circular sector representing the lateral area, together with a circle representing the area of the base. The arc length of the sector is equal to the circumference of the base.

__

base area

The area of the circular base is given by the area formula for a circle:

  A = πr²

For the given radius, the area is ...

  A = (3.14)(4 cm)² = 50.24 cm²

lateral area

The circumference of the circular base is ...

  C = 2πr = 2(3.14)(4 cm) = 25.12 cm . . . . also the arc length of the sector

The area of the sector is ...

  A = 1/2hs . . . . where h is the radius of the sector, and s is its arc length

  A = (1/2)(19 cm)(25.12 cm) = 238.64 cm²

total surface area

The total surface area is the sum of the base area and the lateral area:

  SA = 50.24 cm² +238.64 cm² = 288.88 cm² ≈ 289 cm²

The surface area of the cone is about 289 cm².

A survey was taken of children between the ages of 7 and 12. Let A be the event that the person rides the bus to school, and let B be the event that the person has 3 or more siblings. A 6-column table has 5 rows. The first column has entries walks to school, bikes to school, rides bus to school, driven to school, total. The second column is labeled 0 siblings with entries 24, 8, 18, 32, 82. The third column is labeled 1 sibling with entries 37, 9, 36, 58, 140. The fourth column is labeled 2 siblings with entries 12, 8, 12, 22, 54. The fifth column is labeled 3 or more siblings with entries 3, 2, 9, 10, 24. The sixth column is labeled Total with entries 76, 27, 75, 122, 300. Which statement is true about whether A and B are independent events

Answers

The statement that is true about whether A and B are independent events is D. A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25.

How to depict the events?

Let A be the event that the person rides the bus to school, then:

P(A) = 75/300

P(A) = 0.25

Let B be the event that the person has 3 or more siblings, then:

P(B) = 24/300 = 0.25

P(A/B)=9/24

P(A/B)=0.375

Since P(A/B)=0.375 is different from P(A)=0.25 the events are not independent.

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Simplify and express your answer in both polar and standard form.
Question 1
(7 cis(45°))²

Q2 below
(-2+2i√3)^5

Answers

Simplifying and expressing each term in standard and polar form are respectively; 49/2 and  -512 - 512i√3

How to express an equation in polar form?

1) We are given the expression;

[7 cos (45)]²

We know that cos (45) in standard form is 1/√2. Thus;

[7 cos (45)]² = (7 * 1/√2)² = 49/2

2) We are given the expression;

(-2 + 2i√3)⁵

Using binomial theorem, we have;

(−2)⁵ + 5(−2)⁴ (2i√3) + 10(−2)³(2i√3)² + 10(−2)²(2i√3)³ + 5 * −2(2i√3)⁴ + (2i√3)⁵

Simplifying each term gives;

−32 + 160i√3 + 960 − 960i√3 −1440 + 288i√3

⇒ -512 - 512i√3

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simplify the following expression 5‐³​

Answers

1/5×1/5×1/5=1/125

$ give me a dollar $

Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 5 x squared minus 3. g (x) = 5 x squared + 3.
a.
both f and g open downward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
b.
both f and g open upward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
c.
both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
d.
both f and g open downward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis

Answers

The similarities/differences observed in the graph is (c) both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis

How to describe the similarities/differences?

The equations are given as:

f(x) = 5x² - 3

g(x) = 5x² + 3

Next, we plot the above equations on the same plane (see attachment)

From the attached graph, we can see that:

Both functions open upwardThe lowest point of f(x) is at y = 3; i.e 3 units above the x-axisThe lowest point of g(x) is at y = -3; i.e 3 units below the x-axis

Hence, the similarities/differences observed in the graph is (c)

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Pleazzzz helpppp meee!!!

Answers

Plug 5 into (9x-58) and plug x into 2x, then multiple 5 by 2(x)

Takeout orders on a typical saturday
hours since noon
(x)
number of
takeout orders
(v)
0
0
12
9
10
11
8
6
7
2
3
4
1
6
14
24
28
30
16
5
6
12
10
3
0

Answers

Value is that you are the most important person to your mom
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