A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount, in dollars, the customer pays for the discounted book? Explain and SHOW how you arrived at your answer.

Answers

Answer 1

Answer:

$30.21

Step-by-step explanation:

100% -25%= 75%

Discounted price of the book

= 75% ×$38

= $28.50

Since the customer must pay an additional 6% of the discounted price,

percentage of discounted price paid

= 100% +6%

= 106%

Total amount paid

= 106% × $28.50

= $30.21

_________________________________

Alternative working:

Original selling price= $38

Since the book is discounted 25%,

100% ----- $38

1% ----- $0.38

75% ----- 75 ×$0.38= $28.50

Since the sales tax is based on the discounted price, we let the discounted price be 100%.

100% ----- $28.50

1% ----- $0.285

106% ----- 106 ×$0.285= $30.21

∴ The total amount the customer pays for the discounted book is $30.21.


Related Questions

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = 30

Answers

Answer:

y=(x/2)+5

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept form. To get that, we need y by itself so we have to add 3x to both sides: 6y=30+3x. Now we divide by 6 and rearrange the right side: y=(3x+30)/6.

y = (3x/6)+(30/6) => y = (x/2)+5. We also know that the slope is 1/2 and the y-intercept is 5 because of the slope-intercept equation.

Find the missing angle x. Show your work.

Answers

That is a 90 degree angle.

x+55=90
x=90-55
x=35

The answer is 35 degrees.

Help me with this question

Answers

Answer:

D. The graph of g(x) is the graph of f(x) compressed vertically and then reflected over the x axis.

Step-by-step explanation:

A function shows the relationship between two or more variables.

If a function y = f(x) is reflected over the x axis, the x coordinate remain unchanged, but the y coordinate is negated. Hence the function y = f(x) becomes y = -f(x).

A function y = f(x) is compressed or stretched vertically by a factor k to give y = kf(x). If 0 < k < 1, the function is vertically compressed whereas if k > 1, the function is vertically stretched.

Given the function f(x) = x², the function is vertically compressed by a factor of 2/3 to form a function f(x)' = (2/3)x². The function is then reflected over the x axis to produce a function g(x) = (-2/3)x²

O, R and S are points in the same horizontal plane. /OR/ = 20m and /OS/= 32m.The bearing of R and S from O are 030° and 135° respectively. How Far East of R is S​

Answers

Answer:  roughly 12.6274 meters

The more accurate value is 12.6274169979696, though it's not fully exact.

Round this however you need to.

The exact distance 32*sin(45) - 10 meters.

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

Explanation:

Refer to the diagram below.

I'll use point A in place of point O since the letter 'oh' is very similar looking to the number zero.

Plot point A at the origin (0,0). While at point A, look directly north. Then turn 30 degrees eastward to look at the bearing 030°. Next, move 20 meters along that bearing direction to arrive at point R. Segment AR is 20 meters long.

In the diagram, note how angle RAB is 30 degrees. The side opposite this is BR = m.

We can use the sine ratio to say that

sin(angle) = opposite/hypotenuse

sin(A) = BR/AR

sin(30) = m/20

m = 20*sin(30)

m = 10

-----------------------------------

While still at point A, look directly north and turn 135 degrees clockwise (ie toward the east) and move 32 meters along that bearing. You'll arrive at point S as the diagram shows.

Notice how

angle RAB + angle RAC + angle CAS = 30+60+45 = 135

The remaining angle DAS is 180-135 = 45 degrees.

When focusing on triangle DAS, we can say

sin(A) = DS/AS

sin(45) = n/32

n = 32*sin(45)

n = 22.6274169979696

This value is approximate.

----------------------------------

Subtract the values of m and n

n - m = 32*sin(45) - 10 = exact distance

n - m = 22.6274169979696 - 10

n - m = 12.6274169979696

n - m = 12.6274 = approximate distance

Round it however you need to. I'm choosing to round to four decimal places.

So we see that point S is roughly 12.6274 meters east of point R.

If your teacher wants the exact distance, then stick with 32*sin(45)-10.

What is the square root of 13?

Answers

Answer:

3.605551275

Step-by-step explanation:

Please answer my question step be step

Answers

9514 1404 393

Answer:

  z = 20

  m∠A = 70°

Step-by-step explanation:

Step 0: read and understand the question. Identify the given information and the information requested.

Step 1: consult your knowledge of inscribed quadrilaterals to determine that opposite angles are supplementary.

Step 2: identify angles A and C as being marked with expressions in z.

Step 3: use those expressions and the relation in Step 1 to write an equation.

  A + C = 180°

  (4z -10)° +(10 +5z)°= 180°

Step 4: solve for z.

  9z = 180 . . . . simplify, divide by °

  z = 20 . . . . . . divide by 9

Step 5: use the relation between z and the measure of angle A to answer the question.

  m∠A = (4z -10)° = (4·20 -10)°

  m∠A = 70°

Step 6: check your answer. This can be done by making sure that angle C is supplementary to angle A.

  C = (10 +5z)° = (10 +5·10)° = 110° = 180° -70° ∴ answer checks OK

Six consecutive numbers add up to a total of 69.what is the highest of these numbers?

Answers

Answer:

14

Step-by-step explanation:

9+10+11+12+13+14=69

The [tex]HIGHEST[/tex] of these numbers is [tex]14[/tex]

Let the [tex]CONSECUTIVE[/tex] numbers be : [tex]a, a+1, a +2,a+3,a+4,a+5[/tex]

Taking the sum :

[tex]a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 = 69\\6a + 15 = 69\\6a = 69 - 15\\6a = 54\\a = 54 / 6\\a = 9[/tex]

[tex]HIGHEST[/tex] value = [tex]a + 5 = 9 + 5 = 14[/tex]

Hence, [tex]HIGHEST[/tex] value = [tex]14[/tex]

Learn more : https://brainly.com/question/15974141

Write an equation of the line that has a slope of -3 and y-intercept 7 in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

No. 1 “The printing of more

currency notes will increase inflation.”

A box contains four blue and eight red balls. Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement until a blue ball is drawn. What is the probability that Jack draws the blue ball?

Answers

Answer:

the probability that Jack draws the blue ball is 0.38539

Step-by-step explanation:

Given the data in the question;

box contains

blue balls = 5

red balls = 8

Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement

Now,

on the first attempted;

⇒ ( 8/13) × ( 5/12) = 10/39  

on the second attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143

on the third attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287

on the fourth attempt;

⇒  ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287

so we add everything;  

⇒ 10/39 + 14/143 + 35/1287 + 5/1287

= 0.38539

Therefore, the probability that Jack draws the blue ball is 0.38539

Planes A and B intersect.
Which describes the intersection of line m and line n?
P
m
2
O point w
O point X
Opoint Y
point Z
.
n2
X
Y
W
k
.
V
2
-

Answers

Answer:

I think about point Y ......

If planes A and B intersect, point w describes the intersection of line m and line n.

What is Coordinate system?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.

In the given figure, the planes A and B intersected.

We have to find the point where the line l and line m intersects.

The intersection of a line and a line can be the empty set, a point, or another line.

Two straight lines will intersect at a point if they are not parallel.

The point of intersection is the meeting point of two straight lines.

The lines m and line n are intersected at the point w.

Hence, if planes A and B intersect, point w describes the intersection of line m and line n.

To learn more on Coordinate system click:

https://brainly.com/question/29762404

#SPJ7

Find the volume of a rectangular solid with the given dimensions: length 8 feet, width 17 feet, height 10 feet. What is the volume?

Answers

Answer: 1360 cubic meter

Step-by-step explanation:

Volume of solid= Length*width*height

                          =8*17*10

                          =1360  cubic meter

Suppose a sample of 1390 suspected criminals is drawn. Of these people, 514 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answers

Answer:

The estimate for the proportion of people who were caught after being on the 10 Most Wanted list is of 0.37.

Step-by-step explanation:

Estimate of the proportion of people who were caught after being on the 10 Most Wanted list.

Number of people captured divided by the size of the sample.

We have that:

514 of 1390 people were captured. So

514/1390 = 0.37

The estimate for the proportion of people who were caught after being on the 10 Most Wanted list is of 0.37.

If the spin rate of the CD is 580 rpm what distance is traveled by the piece of dust (in radians) in 2.9 mins

Answers

Answer:

[tex]d=10568.76rads[/tex]

Step-by-step explanation:

From the question we are told that:

Angular Velocity [tex]\omega=580rpm=>60.74rads/sec[/tex]

Time [tex]t=2.9mins=>174sec[/tex]

Generally the equation for distance d is mathematically given by

 [tex]d=\omega*t[/tex]

 [tex]d=60.74*174[/tex]

 [tex]d=10568.76rads[/tex]

7.296÷2.4
full answer please​

Answers

ANSWER:3.04step-by-step Explanation:Expand 7.296/2.4 by multiplying both numerator and the denominator by 1000

7296/2400

Reduce the fraction 7296/2400 to lowest terms by extracting and cancelling out 96

76/25

19.2²/5² = 3 1/25 = 3.04 //

HOPE IT HELPS YOU!!!!!

Ricardo earned $52,000 last year. He just received a 3% salary increase. What is his new yearly salary?

Answers

Answer:  53,560 dollars

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

Explanation:

Having the salary increase by 3% means we can use the multiplier 1.03

Think of it like 100% + 3% = 1 + 0.03 = 1.03

The new salary is 52,000*1.03 = 53,560 dollars

----------------

The slightly longer way to do this is to first figure out how much 3% of 52,000 is

3% of 52,000 = 0.03*52,000 = 1560

Ricardo earns $1560 more dollars on top of the salary of $52,000

So overall his new salary is $1,560 + $52,000 = $53,560

----------------

Personally, I prefer the first method because it's quicker and it allows for multiple percentage increases to chain together. It also could be used to chain in percentage decreases as well.

A company reports the following income statement and balance sheet information for the current year:
Net income $216,060
Interest expense 38,130
Average total assets 2,290,000
Determine the return on total assets. If required, round the answer to one decimal place.

Answers

Answer:

9.4

Step-by-step explanation:

The net income for theis company is $216,060

The average total assets is 2,290,000

Therefore the return on total assets is

= 216,060/2,290,000

= 0.0943×100

=9.4

cách hiếp dâm công an ko bắt

Answers

Answer:

.

Step-by-step explanation:

bbbbbbbbbbbbbbbbbvv

Solve the inequality: 13 + 2 v − 8 + 6 > − 7 − v

Answers

Answer:

V< 6

Step-by-step explanation:

11+2v > -7-v

3v> -18

v<6

Can anyone help me please ????

Answers

Hey there! The topic for this problem is Limit of Function!

As for the question, we are given the quadratic function and we have to find the limit, the value that approaches to a.

[tex] \large \boxed{lim_{x \longrightarrow a} f(x)}[/tex]

We call this, "The limit of f(x) when x approaches a."

Then you may ask, "How do we find the limit of function?". That is a very nice question! The answer to your problem is just substitute x-value in. Although this substitution method only applies when the approaching value doesn't make the denominator to 0. I believe that in the beginning of Limit topic, we learn how to find or evaluate the basic limit that only requires substitution.

So from the question, we receive:

[tex] \large{lim_{x \longrightarrow 2} ( {x}^{2} - 3x - 1)}[/tex]

Next step is to substitute x = 2 in the function.

[tex] \large{lim_{x \longrightarrow 2} ( {2}^{2} - 3(2) - 1)}[/tex]

Evaluate the value.

[tex] \large{lim_{x \longrightarrow 2} ( 4 - 6 - 1)} \\ \large{lim_{x \longrightarrow 2} ( - 3)}[/tex]

Cancel the limit out and there you have it!

[tex] \large \boxed{ - 3}[/tex]

Answer

The limit of quadratic function when x approaches 2 is -3.

Now whenever you learn limit, you must know that limit is when we substitute the approaching value. That means x —> 2 is not x = 2 but x approaches 2.

Regarding the limit, any questions and doubts can be asked through comment and I will get back to you soon!

Thank you for using Brainly and I hope you have a fantastic day! Good luck on the assignment.

Solve:
n = 8
4
O n = 2
0 n = 12
Ô n = 24
0 n = 32

Answers

Answer:

1/4 n = 8

n = 8 * 4

n = 32

so option 4 i.e.

n = 32. is the ans

Answer:

n=32

Step-by-step explanation:

Given :

[tex]\frac{1}{4} n=8[/tex]

Now,

Value of n can be calculated as :

[tex]\frac{1}{4} n=8[/tex]

n=8×4

n=32

Therefore, option (D) is correct.

Which angels are corresponding angles? Check all that apply

Answers

Answer:

Only A and B.

Step-by-step explanation:

Corresponding angles are angles in the same position and are the same size. The others are wrong as they are not the same sizes or are not the same

seventy four lakh nine thousand eleven in numeral form​

Answers

Seventy Four Lakh , Nine Thousand And Eleven=

7409011

Larry is paid 8.5% of all sales plus 4.25% of sales over $6800. Find Larry's gross pay from total sales of $12,200.

Answers

Answer:

$1266.50

Step-by-step explanation:

Larry's gross pay is:

12200*8.5/100 + (12200 - 6800)*4.25/100 = 1037 + 229.50 = 1266.50

We can find Larry's gross pay,

→ 12200×8.5/100+(12200-6800)×4.25/100

→ 1037 +229.50

→ 1266.50

Hence, $ 1266.50 is the solution.

The diagram shows a right-angled triangle.
xo
26 cm
17 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.

Answers

Answer:

Diagram? I don't see a diagram.

Where is the diagram?

Step-by-step explanation:

Write .125 as a fraction reduced to lowest terms.

Answers

Answer:

1/8

Step-by-step explanation:

Hope this helps you! <33

Answer:

1/8

Step-by-step explanation:

We all know 1/2 is 0.5, right?

If you split that in half again, you get 0.25 as 1/4.

If you divide that again by two, you get 1/8 as 0.125

Find the 3rd term in the expansion of (a + b)^7 in simplest form.

Answers

9514 1404 393Answer:

  21·a^5·b^2

Step-by-step explanation:

The k-th term is ...

  C(7, k)·a^(7-k)·b^k . . . . . where k counts from 0 to n

Then k=2 for the third term. The coefficient of it is ...

  C(7, 2) = 7!/(2!(7-2)!) = 7·6/(2·1) = 21

The third term is ...

  21·a^5·b^2

One hundred forty-eight ten thousandth is

Answers

0.0148 hope this helped
one hundred forty-eight ten thousandths is 0.0148

100 Brainly points!!!!

In the figure, polygon ABCD is dilated by a factor of 2 to produce A’B’C’D’ with the origin as the center of dilation.

Point A’ is at _ options > •(2,1), (-2,-2), (1,2), (-2,2)•

& point D is at _ options > (-2,2), (4,-2), (4,2), (-2,-2).

Answers

Answer:

Point A’ is at (-2,-2)

& point D' is at (4,-2)

Step-by-step explanation:

Point A’ => (-1×2, -1×2) => (-2 , -2)

Point D' => (2×2 , -1×2) => (4 , -2)

A is at (-1,-1)

So A' is at

2(-1,-1)(-2,-2)

D is at

(2,-1)

D' is at.

2(2,-1)(4,-2)

Chet has $1200 invested in a bank account modeled by the function P(n) = 1200(1.002)

Answers

Answer:

Answer: 3) R(n) = 1200(1.002)n - 100n

Step-by-step explanation:

After n months, which function represents Chet’s net worth, R(n)?

(1) R(n) = 1200(1.002)n + 100n

(2) R(n) = 1200(1.002)12n + 100n

(3) R(n) = 1200(1.002)n - 100n

(4) R(n) = 1200(1.002)12n - 100n

Answer: 3) R(n) = 1200(1.002)n - 100n

Net worth is the amount of his savings minus his debt,

Everything in the problem is in terms of months, so there is no need to multiply the exponent by 12, which would convert n years into months.

5. A car travels 40 kilometers at an average speed of 80 km/h and then travels 40
kilometers at an average speed of 40 km/h. The average speed of the car for this 80 km

trip is:
A) 40 km/h
B) 45 km/h
48 km/h
D) 53 km/h
E) 80 km/h

Answers

Answer:

D

Step-by-step explanation:

Total distance traveled is 80KM.

Total time taken is 1.5 hrs(0.5+1)

Average Speed = 80/1.5

=53, 3

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