Activity
Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.

Complete the following steps to help Rylee find the net change to her banking account balance.

Part B
Write an expression that represents the net change in Rylee’s bank account balance after paying for fuel at the gas station.

Part C
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for groceries.

Part D
Finally, use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance for her entire shopping trip. Use your answers from parts A through C to guide you.

Part E
Simplify the expression in part D to find the net change in Rylee’s bank account balance. Express your answer as a decimal number.​

Answers

Answer 1
The total charge to her account balance is $83.22
Step-by-step explanation:
We are told that she initially spends $36.50 at the clothing store plus 8% tax.
8% of $36.50 is:
8 / 100 * 36.50 = $2.92
Her total spending at the clothes store is therefore
$36.50 + $2.92 = $39.42
She then spend $25 to refuel her car.
She then bought groceries worth $23.50 and handed over a coupon for a 20% discount on her purchase.
20% discount means 20% of her cost was deducted from what she was supposed to pay and she only paid 80% of the amount she was supposed to pay.
80% of $23.50 is:
80 / 100 * 23.50 = $18.80
Therefore, her total cost (change in her account balance) is:
$39.42 + $25 + $18.80 = $83.22
The total charge to her account balance is $83.22.
Answer 2

Answer:

A)

Rylee bought $36.50 in clothes. This money is leaving her bank account, so represent the amount with a negative sign: -$36.50.

The tax on her purchase is 8%, so the tax amount is 0.08 × -$36.50. The expression that represents the net change in her bank account is -$36.50 + (0.08 × -$36.50).

Further simplify the expression by factoring -$36.50 from both terms:

-$36.50 + (0.08 × -$36.50)

=

-$36.50(1 + 0.08)

=

-$36.50(1.08).

B)

Rylee spent $25 for fuel at the gas station. This money is leaving her bank account, so represent the amount with a negative sign: -$25.

C)

The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign:
-$23.50.

Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is
-$23.50 – (-$23.50 × 0.2).

Further simplify the expression by factoring -$23.50 from both terms:


-$23.50 – (-$23.50 × 0.2)  = -$23.50(1 – 0.2)

             = -$23.50(0.8).

D)

clothing store:

-$36.50(1.08) or -$36.50 + (0.08 × -$36.50)

gas station:

-$25

grocery store:

-$23.50(0.8) or -$23.50 – (-$23.50 × 0.2)

After adding the three expenses:

-36.5 + (-36.5)(0.08) + (-25) + (-23.5) − (-23.5)(0.2) or

(-36.5)(1.08) + (-25) + (-23.5)(0.8).

E)

(-36.5)(1.08) + (-25) + (-23.5)(0.8) = -$83.22

enjoy :)


Related Questions

Find an equation of a line with slope -4 and y-intercept 9. y =

Answers

Answer:

Y= -4X+9

Step-by-step explanation:

solve the equation by the help of the standard equation Y = MX + C

where M is the slope and C is the Y intercept

3. The 7th grade students took a survey about which pizza company the students

preferred: Papa John's, Dominos or Pizza Hut. There are 64 students in the 7th

grade.

If 5 out of 8 students chose Papa John's, how many students chose Papa

John's? How many did not?

Answers

Answer:

40 students choose Papa John's, and 24 did not

Step-by-step explanation:

This question can be solved by proportions, using rule of three.

For each 8 students, 5 chose Papa John's. Out of 64, how many choose?

5 - 8

x - 64

Applying cross multiplication

[tex]8x = 5*64[/tex]

Simplifying by 8

[tex]x = 5*8 = 40[/tex]

40 students choose Papa John's.

In all, there are 64 students, so 64 - 40 = 24 did not

the total cost of a pizza and 3 drinks is $19 the price of the pizza is $10 and each drink is the same price D what is the price of one drink please I need help ​

Answers

Answer:

3

Step-by-step explanation:

9 divide by 3 is 3 itself so the answer is 3

Answer:
The price one drink is $3.

Explanation:

Let $x be the price of one drink.

10 + 3x = 19

3x = 19 - 10

3x = 9

x = 9/3

x = 3

what is 4½ pls anwser​

Answers

Answer:

9/2

Step-by-step explanation:

Answer:

4.5 or 9/2

Step-by-step explanation:

impact of humour in specific language structure​

Answers

Answer:

Summary

Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:

The independent variable is represented by the symbol(s)
1. Y
2. xy
3. Both A and B
4. X
5. None of the above​

Answers

Answer:

4

Step-by-step explanation:

because variable is independent

David's overtime rate is $20. This week, he worked 3 overtime hours. How much will he get paid for overtime?
A. $30
B.$45
C$60

Answers

Answer:

$60

Step-by-step explanation:

3x20=60

It’s 60 because 20x3 is 60

A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended?

Answers

Answer:

Number of children in theater   = 94

Number of students   = 46

Number of adults in theater= 47

Step-by-step explanation:

Total seating capacity in the theater = 187

Let us assume the number of students in the theater = m

and assume  the number of children in the theater = 2k

So, the number of adults in theater = Half of number of children = 2k/2 = k

⇒ Number of ( Adults + Children + students) = 187

⇒ k  + 2k + m =  187, or 3k + m = 187

Step-by-step explanation:

PLS HELP IF YOU ANSWER I WILL GIVE BRAINLIEST ANSWER!

Answers

Townnet I believe im sorry if I’m wrong

For the past three years, Nigel has grown 1 1/5 inches each year. How many total inches has he grown in the past three years?

Answers

Answer: 3.6? I believe is the right answer.

:D

Step-by-step explanation: 1 1/5 times 3 is how I got 3.6

Answer:

3 3/5

Step-by-step explanation:

Nigel would have grown 3 3/5 inches in the past 3 years

( 6/5 x 3/1 )

( =18/5 )

and then you would be simplifying 18/5

and that's how you would get your answer 3 3/5

.......Can I please be marked Brainliest

please thank you:)

What is the x- value of the midpoint between A (-8,-6) and B (0, 6)?

Answers

Answer:

Step-by-step explanation:

Take average of the x-coordinates of A and B.

(-8+0)/2 = -4

x-coordinate of midpoint = -4

The required x value of the midpoint between A(-8, -6) and B (0, 6) is -4.

Given that,
To determine the x value for the midpoint between A (-8,-6) and B (0, 6).

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. Where x coordinate of the graph is called an abscissa and y coordinate of the graph is called ordinate.

What is the midpoint?

The midpoint is that point of the line which has an equal distance from both ends of the line.

the x  value of the midpoint between A(-8, -6) and B (0, 6) is given by,
x = ( x1 + x 2) / 2
x = ( - 8 + 0 ) / 2
x = - 8 / 2
x = -  4

Thus, the required x value of the midpoint between A(-8, -6) and B (0, 6) is - 4.

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ2


1. (a) Find the remainder when 5x2 – 3x + 6 is divided by 2x-1​

Answers

Answer:

The answer is 5/2X - 1/4. The remainder is 23/4.

In rectangle ABCE, AC is the diagonal. BD⟂AC at O. AB = 13, OA=5. Find the length of OD and OB
plz answer with explanation

Answers

Answer:

ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?

The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.

The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5

Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So

[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5

= [7.5*1.5*2*4]^0.5

= 90^0.5 sq cm

Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or

2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get

4*90 = [s1(s1-p)(s1-q)(s1-r)]

360 = s1(s1–11)(s1–6)(s1-AD) … (1)

2s1 = AD + 11 + 6 = AD + 17, or

s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get

360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)

360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)

360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)

= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)

= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)

360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or

-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or

0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or

0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or

AD^3 - 168.5 AD^2 + 6492.5 = 0, or

By trial and error, AD = 6.3272

Check: AD^3 - 168.5 AD^2 + 6492.5

6.3272^3 - 168.5*6.3272^2 + 6492.5

253.3- 6745.6 + 6492.5 = 0.2 as against 0

Hence AD = 6.3272 cm.

Answer:

Assuming you really mean the rectangle is ABCD, not ABDE:

Since DB is perpendicular to AC, it must be square.

If OA = 5, then OB = OC = OD = 5

This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.

5^2 + 5^2 =AB^2 = 7.07, not 13

What is the volume of the prism?

Answers

Answer:

Step-by-step explanation:

These are 2 questions please help me​

Answers

Answer:

Step-by-step explanation:23

Chris received $50,000 from his grandparents as a graduation gift. So, he has decided to invest the money
to pay his living cost at a college, which is $3,000 a year. There are two options: a bond that pays 12% and
a CD that pays 5%. How much should he invest in the bond? [Please round your answer to 2 decimal places.]

Answers

Answer: $7142.86

Step-by-step explanation:

Let the amount to be invested in the bond be represented by y.

Based on this, the amount to be invested in the CD will be: = 50000 - y.

From the information given, yearly interest on bond is 12%, this will be:

= 12% × y = 0.12 × y = 0.12y

Also, interest on CD will be:

= 5% × (50000 - y)

= 0.05(50000 - y)

Then, the equation to get the amount to be invested in bond will be:

0.12y + 0.05(50000 - y) = 3000

0.12y + 2500 - 0.05y = 3000

0.12y - 0.05y = 3000 - 2500

0.07y = 500

y = 500/0.07

y = 7142.8571

y = 7142.86

The amount to be invested in bond will be $7142.86

Joseph invested $6,700 in an account paying an interest rate of 5.2% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,950?

Answers

Answer:

Step-by-step explanation:

A=P(1+r/c)^(ct), where a is final value, P is the initial value or principle, r is the interest rate, and c is the number of compounding periods in a year.

ln(A/P)/ln(1+r/c)=ct so

t =(ln(A/P)/(cln(1+r/c)), given A=13950, P=6700, r=0.052, c=4

t=(ln(13950/6700))/(4ln(1.013))

t=14 years

Answer:

14  

Step-by-step explanation:

ROBERT bought 2 packages of cookies for $6.00. How much would 3 packages of cookies cost?

Answers

Answer:

9.00$

Step-by-step explanation:

6 divided by 2 = 3 so each pakage cost 3$ so it would be 9.00$

A garden table and a bench cost $793 combined. The garden table costs $43 more than the bench. What is the cost of the bench?​

Answers

Answer:

The bench costs $375

Step-by-step explanation:

t + b = 793

t = b+43

(b+43) + b = 793

2b + 43 = 793

2b = 750

b = 375

The bench costs $375

375$ :) im
sorry if its in correct i tried my best

Please help this is due today!

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

perdita is correct

Step-by-step explanation:

perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin

Find the GCE.
10rs, 35rst

Answers

The GCE of 10 and 35 is 5

5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

Answers

Answer:

3/4 a pan

Step-by-step explanation:

2 - 1 1/4 = 3/4

two seperated into fourths would look like this

1/4 1/4 1/4 1/4

1/4 1/4 1/4 1/4

one seperated into fourths would look like this

1/4 1/4 1/4 1/4

so take one and one extra fourth away from two and you're left with

1/4 1/4 1/4

add that together and you have 3/4

HELP ME!!!!!!!!!!!!!!

Answers

Answer:

i wanna say it would be 1,735-3%y

Joe and his friend are going hiking they bring with them a container that holds 1/2 of gallons of water if they share the water equally will fraction of a gallon would each friend get?

A. 1/3
B. 3/2
C. 1/4
D. 1/6

Answers

Answer
C. 1/4
I hope this helps!

One interior angle of a convex polygon (a convex polygon is a polygon where all angles
are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?

Answers

Answer:

7 sides

Step-by-step explanation:

120 + 130x = 180 * (x+1-2)

120 + 130x = 180x - 180

300 = 50x

x = 6

You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.

Answer:

7

Step-by-step explanation:

what is the value of c?

Answers

Answer: C= 26

Step-by-step explanation:

24^2+10^2=26^2

Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >

Answers

Answer:

<

Step-by-step explanation:

hhahaha

Find the percent change from the first value to the second.
40;72 (show how you got your answer for a brainliest)​

Answers

Answer:

80% increase

Step-by-step explanation:

There are two ways to do this

The first way is to set up a percent proportion

[tex]\frac{72}{x}[/tex] = [tex]\frac{40}{100}[/tex]

To find x, we can do:

x = [tex]\frac{72 * 100}{40}[/tex]

x = [tex]\frac{7200}{40}[/tex]

x = 180

72 is 180% of 40

There is an 80% increase.

The second way to do it (the way I find easier) is to use benchmark fractions:

We look at 40 and 72 and realize that (40 * 2) - 8 = 72

So 200% of 40 - 8 = 72

Then, we find out what percent of 40 is 8.

10% of 40 is 4

so that means 20% of 40 is 8 (10% * 2 = 4 * 2)

Then we do:

80 - 8 = 72

200% - 20% = 180%

72 = 180% of 40

Which is an 80% increase

Let me know if you have any questions

find the value of y and (4x+8)°​

Answers

Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

23. A 2y + 2 B 24. B

(3x + 10)

(8x + 5)º

3x + 6

54°

D

С

D

A

Зу - 9 с

ly+4

i) Coordinates of point P

a) (1,1) b) (1,2) c) (2,1) d) (1,0)

ii) Coordinates of point Q

a) (0,-3) b) (-3,0) c) (-3,-3) d) (0,3)

iii) Coordinates of point T

a) (-4,-2) b) (-2,-4) c) (4,-2) d) (-2,4)

iv) (Ordinate of T) – (Abscissa of R)

a) -4 b) 4 c) 0 d) -2

v) (Abscissa of Q) – (Ordinate of S)

a) -4 b) 4 c) 2 d) -2

Answers

Given:

Five points P, Q, R, S ,T on a coordinate plane.

To find:

The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).

Solution:

From the given graph it is clear that the coordinates of given points are

P = (1,1)

Q = (-3,0)

R = (-2,-3)

S = (2,1)

T = (4,-2)

(i)

Coordinates of point P are (1,1).

Therefore, the correct option is (a).

(ii)

Coordinates of point Q are (-3,0).

Therefore, the correct option is (b).

(iii)

Coordinates of point T are (4,-2).

Therefore, the correct option is (c).

(iv)

Ordinate is y-coordinate and abscissa is x-coordinate.

Ordinate of T = -2

Abscissa of R = -2

(Ordinate of T) – (Abscissa of R) = -2 - (-2)

                                                     = -2 + 2

                                                     = 0

Therefore, the correct option is (c).

(v)

Abscissa of Q = -3

Ordinate of S = 1

(Abscissa of Q) – (Ordinate of S) = -3 - 1

                                                      = -4

Therefore, the correct option is (a).

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