Marcus buys a pair that cost $35.99 plus 5.5% tax. Tai buys a pair of shoes that cost $ 39.99 plus 9% tax. Tai uses a coupon off her purchase. What is the difference in the total cost to the nearest cent that Marcus and Tai pay for their shoes?

Answers

Answer 1

Answer:

The difference is $5.62

Step-by-step explanation:

The total cost Marcus will pay is

35.99 + 5.5% of 35.99

= 35.99 + 0.055(35.99) = 35.99 + 1.97945 = 37.96945

The total cost Tai will pay is;

39.99 + 9% of 39.99

= 39.99 + 0.09(39.99) = 43.5891

The difference between the total costs will be;

43.5891 - 37.96945 = 5.61965

To the nearest cent, this is 5.62


Related Questions

Which equation represents a line which is parallel to the line 3x + 8y = - 40 ?

Answers

I am not really sure that this is the right answer
It’s just an attempt

What is the equation of the graphed polynomial below?
1
y = (-x + 2)2(-x + 3) 3
y = -(x + 2)2(x - 3)3
y = (x + 2)²(x - 3)2
y = (x - 2)*(x - 3)2

Answers

Answer:

D. y=(×-2)^3(×-3)^3

Step-by-step explanation:

the x and y axis interception

For any linear function f(x) = mx + b, when does 5f(x) = f(5x)?

a) always
b) when b = 0
c) when b = 5/4
d) when b = 5

Answers

Answer:

B

Step-by-step explanation:

does anyone know what's on the flvs 5.06 dba for Mrs. sujeily Witherspoon....have dba at 11:15

Answers

I'd go back through the lesson and take notes of steps in the last pages they give the review of the lesson, help full and a time saver. other than that I would try to write down all definitions and words listed in the module, but if you want to have a complete list of every thing go to the home page and get the guided notes, you can fill them out when looking back at the lesson.

if you have a short time to gather notes just go through and right down what you can, you can always keep the glossary open when doing a DBA. hope anyone who see's this does well :)

sorry I couldn't help much i was unaware of the course you are taking

find the angle represented by x ( round the nearest tenth of a degree) A 16.2 B 16.4 c17.1 d17.4

Answers

Answer:

B. 16.4°

Step-by-step explanation:

reference angle = x = [tex] \theta [/tex]

Side length opposite to x = 20 ft = opp

Adjacent side length = 68 ft = adj

Apply the following trigonometric ratios formula:

[tex] tan(\theta) = \frac{opp}{adj} [/tex]

Plug in the values into the formula

[tex] tan(x) = \frac{20}{68} [/tex]

[tex] tan(x) = 0.2941 [/tex]

[tex] x = tan^{-1}(0.2941) [/tex]

[tex] x = 16.3886 [/tex]

x = 16.4° (nearest tenth)

Answer:

B. 16.4

Step-by-step explanation:

A rubber tree is 95 inches tall and growing at a rate of 4 inches per year. A cactus is 40 inches tall and growing at arate of 5 inches per year. After how many years will the rubber tree be shorter than the cactus tree

Answers

The rubber tree starts off at 95 in and increases 4in per year. We can write this as 95 + 4y (y representing the number of years) the cactus tree starts off at 40 in and increases 5 in per year so we can write is as 40 + 5y. We want to find out y when the cactus is taller so
95+4y < 40+5y And we solve for y
Subtract 40 from both sides
55+4y < 5y
Subtract 4y from both sides
55 < y
Y is any number over 55 but we need the year when the cactus will be taller
So in 56 years the cactus will be taller.

The resultant of the vectors a = 3i - 2j and b = pi - 2pj is parallel to the vector c = 2i - 3j.
a) Find the value of p
b) Find the resultant of vectors a and b.

Please help me with this question, thank you ​

Answers

Part (a)

The resultant vector is the vector formed by adding the two vectors a and b. So we effectively add the corresponding components.

You can use the parallelogram law as a visual alternative.

Adding a and b leads to

a+b = (3i-2j) + (pi-2pj)

a+b = (3i+pi) + (-2j-2pj)

a+b = (3+p)i - (2+2p)j

Define vector d to be d = a+b so we can use it later below.

Recall that parallel vectors point in the same direction. This means the ratio of their components or coordinates are equal.

We can say the following

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

(3+p)/(2) = (-(2+2p))/(-3)

Let's solve for p

(3+p)/(2) = (-(2+2p))/(-3)

(3+p)/(2) = (2+2p)/3

3(3+p) = 2(2+2p) .... cross multiply

9+3p = 4+4p

4p+4 = 3p+9

4p-3p = 9-4

p = 5

Answer:  p = 5

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

Part (b)

Since p = 5, from part (a), we can determine vector b

b = pi - 2pj

b = 5i - 2*5j

b = 5i - 10j

Then add vectors a and b to get

a+b = (3i-2j) + (5i - 10j)

a+b = (3i+5i) + (-2j - 10j)

a+b = (3+5)i - (2+10)j

a+b = 8i - 12j

Or we can say

a+b = (3+p)i - (2+2p)j  .... from part (a)

a+b = (3+5)i - (2+2*5)j ... plugging in p = 5

a+b = 8i - 12j

Note the ratio of the components of vector d and vector c are such

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

8/2 = -12/(-3)

4 = 4

This helps confirm the answer

You could also graph the vectors c = 2i - 3j and d = 8i - 12j to note the two lines produce the same slope -3/2. We can see that -12/8 = -3/2. Lines of the same slope are parallel lines

Answer:  8i - 12j

a.

The value of p is 5

Since vector a = 3i - 2j and vector b = pi - 2pj, the resultant of vectors a and b is R = a + b

= 3i - 2j + pi - 2pj

= (3 + p)i - 2(1 + p)j

Since R is aparallel to vector c = 2i - 3j, it implies that the cross product of R and c is zero.

The cross product of two vectors a and b is a × b = absinФ where a and b are the magnitudes of a and b and Ф is the angle between them.

So, R × c = [(3 + p)i - 2(1 + p)j] × [2i - 3j]

= (3 + p)i × 2i + (3 + p)i × (-3j) + (-2(1 + p)]j × 2i + (-2(1 + p)]j×(-3j)

= 0 - 3(3 + p)k - 4(1 + p)(-k) + 0

= -3(3 + p)k + 4(1 + p)k

= [-3(3 + p) + 4(1 + p)]k

= [-9 - 3p + 4 + 4p)]k

= [-9 + 4 - 3p + 4p)]k

=  [-5 + p]k

[-5 + p]k = RcsinФ.

Since R and c are parallel, Ф = 0°

So, Rcsin0° = Rc × 0 = 0

So,   [-5 + p]k = 0

-5 + p = 0

p = 5

The value of p is 5

b.

The resultant of vectors a and b is R = 8i - 12j

Since p = 5 and the resultant of vectors a and b is R = (3 + p)i - 2(1 + p)j

Substituting the value of p = 5 into r, we have

R = (3 + p)i - 2(1 + p)j

R = (3 + 5)i - 2(1 + 5)j

R = 8i - 2(6)j

R = 8i - 12j

So, the resultant of vectors a and b is R = 8i - 12j

Learn more about resultant of vectors here:

https://brainly.com/question/14358602


Which of them is true?

A. [ -18]< 6
B.[ -6] < [ -8]
C.[8]<[-6]
D.[-6] < -8 ​

Answers

the answer is A
positive > negative

Answer:

B. |-6| < |-8|

Step-by-step explanation:

The absolute value will always make the number positive. B is the only option in which (once absolute value is used) will make a true statement.

|-6| < |-8| = 6 < 8

( 6 is less than 8 )

HELP QUICKLY!!!

what is the y intercept of the line

Answers

Answer:

-23

Step-by-step explanation:

the equation of the line is y=-2/3x-23 so the b in the equation (y=mx+b) is the y int so that is -23

19 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio of new books to used books

Answers

Answer:

1:8

Step-by-step explanation:

You subtract 19 and 8, and you get 11 then you put them in ration form

Step-by-step explanation:

Andy divided his one-third jar of equally between 2 projects. What fraction of a jar of paint did Andy use for each project? Explain how to draw a model to find the answer.

Answers

Answer:

1/2 of the 1/3 jar of paint is used for each project

Step-by-step explanation:

The larger of two numbers is two more than five times the smaller number.if the sum of the two numbers is 80 find both number

Answers

Answer:

the smaller number is 13 and the larger number is 67

A manufacturer has invested $120,000 in a new product and wants to set a price to earn a $80,000 profit. The variable cost per unit is $20 and the company sells the units at $100.

Answers

Answer: 500

Step-by-step explanation:

The remainder of the question is:

How many units does the company need to sell to reach the target profit?

The required sales to break even will be calculated as:

= (Fixed cost + Required profit) / ( Price per unit - Variable cost)

= (120000 - 80000) / (100 - 20)

= 40000/80

= 500

The company needs to sell 500 units.

somebody please help

Answers

Answer:

729

Step-by-step explanation:

hope it helps

Answer: 27/2 = 13 1 2\

also 729

On the coloring sheet, thd a ratio
is equivalent to 3/10.

Answers

Answer:

Equivalent ratios:

3 : 10   6 : 20   9 : 30   12 : 40   15 : 50   18 : 60   21 : 70   24 : 80   27 : 90   30 : 100   33 : 110   36 : 120   39 : 130   42 : 140   45 : 150   48 : 160   51 : 170   54 : 180   57 : 190   60 : 200   63 : 210   66 : 220   69 : 230   72 : 240   75 : 250   78 : 260   81 : 270   84 : 280   87 : 290   90 : 300

( Brainlyst will help my rank <3 )

PLZ HELP
12 yd = ___ ft

Answers

Answer:

12yd = 36ft

Why: For every 1 yard you have 3 feet

2 yards=6 3=9 and so on

Step-by-step explanation:

12 yards = 36 feet

if this answer is correct:

give a like and rate me 5

Based on the work shown to the left, which of
these values are possible solutions of the
equation? Check all of the boxes that apply.

Answers

Answer:

sorry i cant answer without the picture it wont make sense.

Answer:

A, D

Step-by-step explanation:

edge 2021

What is 12.18 x 103 =

Answers

Answer:

1,254.54

Step-by-step explanation:

Answer:

1,254.54

Step-by-step explanation:

x2 + 20x +__________

Answers

Complete the square
x^2 + 20x+100

HELP WILL GIVE BRAINLIEST PLEASE

Answers

Answer:

Lin needs 3 cups of flour and 6 cups of sugar. Noah needs 6 cups of sugar and 4 cups of flour.

Step-by-step explanation:

I want you to figure out how to do.

The distance between A (-4, 2) and B(4, 2) is.

Answers

Answer:

8 spaces away

Step-by-step explanation:

hope this helped :-)

Solve 2c − 8f = 24 for f. Show your work.

Answers

Answer:

f=2 c=4

Step-by-step explanation:

8 times 2 equals 16 plus 2 times 4 equals 24 in total.

can someone help plz ​

Answers

Answer:-3/7
Use two points and then do y-y/x-x

Answer:

6. a) 7/3

7. b) Y=20/3(x)

Help please uh thanks

Answers

12•1
13•6
12/78 divide both numbers by 6 to simplify
Answer- 2/13
2/13 Is the answer to this question :)

Geometry 9th grade will give brainliest

Answers

5< x < 11 Just look at the example and insert your numbers into it.

Step-by-step explanation:

7.90.

Find the interest on an investment of $45,000
compound annually at 5.25% for 6 years
A = P(1 + r)t

Answers

Answer:

The interest on the investment is $16,170.93811

Step-by-step explanation:

The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where

A is the new valueP is the initial valuer is the rate in decimaln is the number of periods in timet is the time

∵ The investment is $45,000

P = 45,000

∵ The interest on the investment is compounded annually at 5.25%

r = 5.25% = 5.25 ÷ 100

r = 0.0525

n = 1 ⇒ compound annually

∵ It is for 6 years

t = 6

→ Substitute them in the rule above

∵ [tex]A=45,000(1+\frac{0.0525}{1})^{1(6)}[/tex]

∴ [tex]A=45,000(1.0525)^{6}[/tex]

A = 61,170.93811

I = A - P, where I is the interest

I = 61,170.93811 - 45,000

I = 16,170.93811

The interest on the investment is $16,170.93811

 A police car drives 230 km in 2 1/2 hours. What is its average speed in kilometers per hour?​

Answers

Answer:

92 km/h

Step-by-step explanation:

22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).

help is appreciated !!!

Answers

Answer:

If the lines BC and DE are parallel, the value of c is c=-2

Step-by-step explanation:

We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints  D(c, -7) and E(5, -3).

Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c

When 2 lines are parallel there slope is same.

So, Slope of line BC =Slope of Line DE

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have:

[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]

Putting values and finding c

[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]

So, If the lines BC and DE are parallel, the value of c is c=-2

The number of tons of wheat the government can afford to buy if it spends total of $100 million, wheat costs $300 per ton, and it must buy 5 fighter planes at $15 million each.

Answers

Total amount, T = $100 million.

Cost of wheat per ton, C = $300 .

Price per fighter plane, c = $15 million.

Now,

Price of 5 fighter planes, P = $( 15 × 5 ) = $75 million.

Amount left = $( 100 - 75 ) = $25 million.

So,

Number of tons of wheat government can buy is :

[tex]n=\dfrac{25\times 1000000}{300}\\\\n = 83333.33\ tons[/tex]

Therefore, number of tons of wheat the government can afford is 83333.33 tons.

Hence, this is the required solution.

how solve these problem plssssss

Answers

Answer:

for the second question , all you have to do is substitute , the first point plotted is x and the second point is b , ploy those points in the equation and remember that to find x we make y= 0 and to find y we make x =0

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