Write 70cents to $1.80 as a fully simplified ratio by first converting to the same units, and then simplifying.

Answers

Answer 1

Answer:

7 : 18

Step-by-step explanation:

1. Convert to the same units (cents)

70 cents = 70 cents

$1.80 = 180 cents

2. Simplify

70 : 180 (divide both by ten)

7 : 18

7 and 18 cannot be simplified any further.


Related Questions

When six basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical​ order? Assume each player has a different name. ​P(shoot free throws in alphabetical ​order)=

Answers

Answer as a fraction = 1/720

Answer in decimal form (approximate) = 0.001388

Answer in percent form (approximate) = 0.1388%

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

Explanation:

Let A = 1 to indicate the number of ways to get the names to line up in alphabetical order.

There are B = 6*5*4*3*2*1 = 720 different ways to arrange the six people. Notice how I started at 6 and counted my way down to 1, multiplying all along the way. This can be shortened to factorial notation to say 6! = 720. Or you could use the nPr permutation formula to get the same result (use n = 6 and r = 6).

Once you have the values of A and B, we form the fraction A/B = 1/720 which is the probability of getting the names in alphabetical order.

If you need the answer in decimal form, then use your calculator to find

1/720 = 0.001388

which converts over to 0.1388%

Suppose you roll a fair six-sided die 25 times. What is the probability that you roll 5 or more 6’s on that die?

A. 0.3883

B. 0.5937

C. 0.5

D. 0.4063

Answers

Answer:

D. P(5+ 6's) = 0.4063

Step-by-step explanation:

Binomial distribution.

For the distribution to be applicable, the experiment must

1. Have a know and constant number of trials

2. Probability of success of each trial remains constant (and known if available)

3. Each trial is a Bernoulli trial, i.e. with only two outcomes, success or failure.

4. Independence between trials.

Let  

n = number of trials  = 25

p = probability of success of each trial  = 1 / 6

x = number of successes  (0 ≤ x ≤ n)  = 5

C(n,x) = number of combinations of picking x identical objects out of n

Applying binomial distribution

P(x,n) = probability of x successes in an experiment of n trials.

= C(n,x) * p^x * (1-p)^(n-x)

For n = 25 trials with probability of success (roll a 6) = 1/6

and x = 5,6,7,8,...25

It is easier to calculate the complement by

P(5+ 6's) = 1 - P(<5 6's)

= 1 - ( P(0,25) + P(1,25) + P(2,25) + P(3,25) + P(4,25) )

1- (

    P(0,25) = C(25,0) * (1/6)^0 * (5/6)^25 = 0.0104825960103961

    P(1,25) = C(25,1) * (1/6)^1 * (5/6)^24 = 0.05241298005198051

     P(2,25) = C(25,2) * (1/6)^2 * (5/6)^23 = 0.1257911521247532

    P(3,25) = C(25,3) * (1/6)^3 * (5/6)^22 = 0.1928797665912883

    P(4,25) = C(25,4) * (1/6)^4 * (5/6)^21 = 0.2121677432504171

)

= 1 - 0.59373

= 0.40626

= 0.4063 (to 4th decimal place)

Two rectangles are similar. One has a length of 12 cm and a width of 9 cm, and
the other has a width of 8 cm. Find the length of the second rectangle. Round to
the nearest tenth if necessary.
A 12.3 cm
B 6 cm
C 10.7 cm
D 8 cm

Answers

Answer:

10.7

Step-by-step explanation:

Let x be the missing side.

The rectangles are similar. Wich means:

● 8/9 = x/12

Cross multiply

● 9x = 8×12

● 9x = 96

Divide both sides by 9

● 9x/9 = 96/9

● x = 10.666

Round it to the nearest unit

● x = 10.7

-3 = k/12 help please

Answers

Answer:

-36 = k

Step-by-step explanation:

-3 = k/12

Multiply each side by 12

-3*12 = k/12 *12

-36 = k

Answer: k= -36

Step-by-step explanation:

[tex]-3=\frac{k}{12}[/tex]

multiply both sides by 12

[tex]\frac{12k}{12}=12\left(-3\right)[/tex]

12*(-3)=-36

[tex]\frac{12k}{12}=12\left(-3\right)[/tex]

k=-36

draw a graph of 2x - 3y = 6​

Answers

Answer:

Slope:[tex]\frac{2}{3}[/tex]

y-intercept:-2

Step-by-step explanation:

30 points and brainliest for the right answer :) I would like to know how to do this, so an explanation would be nice :P Thanks for the help!

Answers

Answer:

Below

Step-by-step explanation:

● (a)

Let's determine the difference between the outputs of any two inputs that are one unit apart.

Let m be that difference.

2 and 3 are one unit apart since when you substract 2 from 3 you get 1.

● 3-2 = 1

Let's calculate m.

The output of 2 and 3 are respectively 45 and 53.

● m = 53 - 45

● m= 8

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's determine the difference between the outputs of any two inputs that are 2 units apart.

Let m' be that difference

3 and 1 are 2 units apart since when you substract 1 from 3 you get 2.

● 3-1 = 2

The outputs of 1 and 3 are respectively 37 and 53.

● m'= 53-37

● m' = 16

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's determine the difference between the outputs of two inputs that are 3 units apart.

Let m" be that difference

0 and 3 are 3 units apart since when you substract 0 from 3 you get 3.

● 3-0 = 3

Let's calculate m":

The outputs of 0 and 3 are respectively 29 and 53

● m" = 53-29

● m" = 24

■■■■■■■■■■■■■■■■■■■■■■■■■■

● m = 8

● m'= 16

● m" = 24

Notice that all these values are multiples of 8.

● 8 = 8×1

● 16 = 8×2

● 24 = 8×3

Notice that each time the difference m is multiplied by the units that are between the inputs.

This is explained by the fact that the function is a linear one.

When the input interval grows the difference between the outputs grows two.

Answer:

Step-by-step explanation:

find the equation of the linear function   in the form of y=mx+b

m=y2-y1/x2-x1 =-3+11/-4+5=8

y=8x+29 ( when x=0, y=b=29)

out put  : -3 and -11 -3-(-11)=8 which is 1 unit

out put : 21 and 5 21-5=16   which is 2 unit (2*8)

output :53 and 29 53-29=24 which is 3 units (3*8)

ratio of change = f(b)-(f(a)/b-a

at point -3 and -11 : f(-3)-f(-11)/-4+5=-3+11/1=8

at point 21 and 5 : 21-5/-1+3=16/2=8

the graph always increasing and always equal 8

What is the perimeter of the figure shown?

Answers

Answer:

[tex]\boxed{16 units}[/tex]

Step-by-step explanation:

Hey there!

Well since all the sides are congruent and there are 8 sides we can make the following expression,

P = 2*8

P = 16

Hope this helps :)

Answer:

16

Step-by-step explanation:

The sides of this figure are equal to each other .

the permiter is the sum of the sides

The figure has 8 sides.

● P = 8 × 2

● P = 16

The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the cost to rent a car is $27.50 per day, but the insurance is only an additional $3.99 fee. Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

Answers

Answer:

d=4

Step-by-step explanation:

Agency 1:

Total cost of renting a car=24.50d + 15.99

Agency 2:

Total cost of renting a car=27.50d + 3.99

Where, d=No. of days of renting the car

Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

The equation is by equating agency 1 and agency 2 equation

24.50d + 15.99 = 27.50d + 3.99

Collect like terms

24.50d - 27.50d = 3.99 - 15.99

-3d = -12

Divide both sides by -3

d= -12 / -3

=4

d=4

Check

Agency 1:

24.50d + 15.99

= 24.50(4) + 15.99

= 98 + 15.99

= 113.99

Agency 2:

27.50d + 3.99

= 27.50(4) + 3.99

= 110 + 3.99

= 133.99

Answer:

24.5d + 15.99 = 27.5d + 3.99


Step-by-step explanation:

The other person who answered this question was correct, they just explained it all the way through and since you guys skim through everything instead of reading, I'll put the answer. :)

Find the total surface area.

Answers

Answer:

160cm²

Step-by-step explanation:

To find the surface area of this prism, you just need to add up the areas of each side. To simplify the calculations a bit, we can take multiples of the sides which are the same. For example, here we have two equal trapezoids on each end, so we can multiply the area by two when adding.

The work is in the attachment.

For the function F defined by F(x)=x2−2x+4, find F(5). For the function F defined by F ( x ) = x 2 − 2 x + 4 , find F ( 5 ) . A. 32 32 B. 39 39 C. 19 19 D. 4

Answers

Answer:

C. 19

Step-by-step explanation:

Given the function defined by F(x)=x²−2x+4, in order to get f(5), we will have to simply substitute x = 5 into the formula given as shown;

F(5) = 5²-2(5)+4

F(5) = 25 - 10 + 4

F(5) = 15 + 4

F(5) = 19

Hence, for the function F defined by F(x)=x²−2x+4, F(5) = 19

What is the slope of the line that passes through the points (-10, 8) and
(-15, – 7)? Write your answer in simplest form.

Answers

Answer:

[tex]slope=3[/tex]

Step-by-step explanation:

Use the following equation the find the slope:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope". Insert the known values:

[tex](-10_{x1},8_{y1})\\\\(-15_{x2},-7_{y2})\\\\\\\frac{-7-8}{-15-(-10)}\\\\\frac{-7-8}{-15+10}[/tex]

Solve:

[tex]\frac{-7-8}{-15+10}=\frac{-15}{-5}[/tex]

Simplify. Two negatives make a positive:

[tex]\frac{-15}{-5}=\frac{15}{5}[/tex]

Simplify fraction by dividing top and bottom by 5:

[tex]\frac{15}{5}=\frac{3}{1} =3[/tex]

The slope is 3.

:Done

The slope of the line that passes through the points (-10, 8) and  (-15, -7) is 3 and thsi can be determined by using the point-slope formula.

Given :

The line that passes through the points (-10, 8) and  (-15, -7).

The following steps can be used in order to determine the slope of the line that passes through the points (-10, 8) and  (-15, -7):

Step 1 - The slope formula when two points are given is:

[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope and [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.

Step 2 - Substitute the known terms in the above formula.

[tex]\rm m = \dfrac{-7-8}{-15+10}[/tex]

Step 3 - Simplify the above expression.

[tex]\rm m = \dfrac{15}{5}[/tex]

m = 3

For more information, refer to the link given below:

https://brainly.com/question/2514839

solve for x 7x - 3/4 = 6x - 5/8

Answers

Answer: x=0.125 or 1/8

Step-by-step explanation:

[tex]7x-\frac{3}{4}=6x-\frac{5}{8}[/tex]

add 3/4 on both sides

[tex]7x-\frac{3}{4}+\frac{3}{4}=6x-\frac{5}{8}+\frac{3}{4}[/tex]

[tex]7x=6x+\frac{1}{8}[/tex]

subtract 6x on both sides

[tex]x=\frac{1}{8}[/tex]

Answer:

x = 1/8

Step-by-step explanation:

7x - 3/4 = 6x - 5/8

7x - 3/4 + 3/4 = 6x - 5/8 + 3/4

7x = 6x + 1/8

7x - 6x = 6x + 1/8 - 6x

x = (6x - 6x) + 1/8

x = 1/8

Find the value of tetha in 2 cos 3 tetha = 1

Answers

Answer:

Step-by-step explanation: 2cos3 theta=1. Cos 3theta=1/2. Since cos 60°= 1/2. Therefore cos 3theta=cos 60°. Theta=20°.

can we chat girl in comment

2(cos 3theta) = 1
Cos 3theta = 1/2 = cos(60)
Theta = 60/3 = 20

the fastest land dwelling creature is the cheetah. fact or
opinion


Answers

Answer:

True.

Step-by-step explanation:

Cheetahs can reach speeds of 109.4–120.7 km/h (68.0–75.0 mph), and some have been recorded at over 80mph. The cheetah can accelerate from 0 to 96.6 km/h (60.0 mph) in under three seconds, though endurance is limited.

The second fastest land animal is the Pronghorn antelope at 98kph (60mph).

Answer:

It is a Fact because it can run 70mph or 112kph

Express 0.00013745 to 3 significant figures.​

Answers

Answer:

0.000137

To 1 significant figure: 0.0001

To 2 significant figures: 0.00014

To 3 significant figures: 0.000137

To 4 significant figures: 0.0001375

To 5 significant figures: 0.00013745

0.000137.

Hope it helps ❄️

Azila is a salesgirl for a cosmetic product. Her salary is RM375 per week with 5% commission of her weekly sales. What is the least value of a product that Aliza must sell if she targets a minimum salary of RM550 for a particular week?​

Answers

Answer:

RM3,500

Step-by-step explanation:

Salary=RM375 per week

5% commission per week

If she target a minimum of RM 550.

Let x=minimum Sales

RM550=RM375 + 5% of x

RM550=RM375 + 0.05x

RM550 - RM375=0.05x

RM175=0.05x

Divide both sides by 0.05

RM175/0.05=0.05x/0.05

RM3,500=x

For Azila to earn a minimum of RM550 in a week, her salary will be RM375 plus 5% commission on the sales of RM3,500 value of product.

Check:

5% of RM3,500

=0.05*3,500

=RM175

Plus

Salary of RM375

RM175 + RM375=RM550

you have decided to hire a disc jockey for your party. the second dj you interviewed has 3 times as many songs as the first dj. the third dj had half as many songs as the second dj. write an expression to represent the number of songs the third has if the first dj had r songs. explain how you arrived at your answer

Answers

Answer:

The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.

Step-by-step explanation:

Answer:

The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.

Step-by-step explanation:

just did

Solve D = ABC for C.

Answers

Answer:C=d/ab

Step-by-step explanation:

D=abc

D/ab=abc/ab (both side divided by ab)

Ab cancel by ab and c= d/ab remains

The solution of the given equation D = ABC for C will be D/(AB).

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

D = ABC

The value of the above equation for C will be as,

D = (AB)C

C = D/(AB)

Hence "The solution of the given equation D = ABC for C will be D/(AB)".

For more about the equation,

brainly.com/question/10413253

#SPJ2

The volume of a sphere whose diameter is 18 centimeters is
π cubic centimeters. If its diameter were reduced by half, its volume would be
of its original volume.

Answers

Answer:

volume before reducing is 8 times the volume after reducing

Step-by-step explanation:

volume before reducing=

V=4/3πr³=

V=4/3π(9)³=972π cm³

diameter reduced to half=18/2=9 cm

radius=d/2=9/2=4.5 cm

volume of sphere when diameter reduced by 1/2=

V=4/3πr³

v=4/3 (π)(4.5)³=121.5π

volume before reducing is 8 times the volume after reducing

Answer:

The volume of a sphere whose diameter is 18 centimeters is 972  π cubic centimeters. If its diameter were reduced by half, its volume would be 1/8  of its original volume.

Step-by-step explanation:

Correct for plato :)

Please answer ASAP. The question is down below

Answers

Answer:  A

Step-by-step explanation:

Notes: Dividing by a fraction means to multiply by its reciprocal.

           The denominator cannot equal zero.

[tex]\dfrac{5a^3bc}{8ab^3}\div\dfrac{-ab^2}{6a^5b}\cdot \dfrac{2a^2b^3}{3b}\qquad \rightarrow a\neq 0,b\neq 0\\\\\\=\dfrac{5a^3bc}{8ab^3}\cdot\dfrac{6a^5b}{-ab^2}\cdot \dfrac{2a^2b^3}{3b}\\\\\\=\dfrac{5\cdot 6\cdot 2\quad a^3\cdot a^5\cdot a^2\quad b\cdot b\cdot b^3\quad c}{8\cdot -1 \cdot 3\quad a\cdot a\qquad b^3\cdot b^2\cdot b \quad}\\\\\\=\dfrac{-60a^{10}b^5c}{-24a^2b^6}\\\\\\=\dfrac{-5a^8c}{2b}[/tex]

Simplify.
2x (3-1) + 3

O 7
O 8
10
O 11

Answers

Answer:

(2,−6)+(9,9)

(12,−5)⋅(5,6)

(4,4)⋅(4,4)

Step-by-step explanation:

Try one of these answers

Answer:

Let's simplify step-by-step.

2x(3−1)+3

=4x+3

Step-by-step explanation:

2x[3-1]=6x-2x=4x

4x+3

If each of the 4 shelves holds 14 movies, how many movies does Betty have on her shelving unit? Show your work.

Answers

Answer:

62

Step-by-step explanation:

4x + 6

4(14) + 6 (substituting x = 14)

56 + 6

62

10 points please help​

Answers

Answer:

[tex]\frac{14}{55}[/tex]

Step-by-step explanation:

note that

n! = n(n - 1)(n - 2) .... × 3 × 2 × 1

Given

[tex]\frac{8!9!}{5!12!}[/tex]

Cancel the terms from 8! ( 5 × 4 × 3 × 2 × 1 ) with the same terms from

5! ( 5 × 4 × 3 × 2 × 1 ) leaving

8 × 7 × 6 = 336 on the numerator

Similarly

Cancel the terms from 9! and 12!

leaving 12 × 11 × 10 = 1320 on the denominator, thus simplifies to

[tex]\frac{336}{1320}[/tex]

= [tex]\frac{14}{55}[/tex]

If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation?

Answers

Answer:

f(x) = 3x - 14

Step-by-step explanation:

note that y = f(x), thus rearrange the equation making y the subject.

Given

y - 3x = - 14 ( add 3x to both sides )

y = 3x - 14 , that is

f(x) = 3x - 14 ← in functional notation

explanation pls? step by step i get confused on these questions! thank you!​

Answers

Answer:

5xyz

Step-by-step explanation:

10x^2 y^2z and 15xyz^2

Rewriting

2*5*x*x*y*y*z   and 3*5 *x*y*z*z

What is common to both terms

5 x y z

The greatest common factor is 5xyz

Answer:

the GCF is 5(xyz)

Step-by-step explanation:

For the numbers, you want to find the largest number that both of the coefficients can be divided by. I'm not sure if your answer choices include variables, but if they do, its only xyz, nothing can be squared because both equations have different variables squared.

This table represents a quadratic function.
What is the value of “a” in the function’s equation?
A. -1/2
B. 1/2
C. 2
D. 1

Answers

Answer:

I think 1/2 is the ans

Step-by-step explanation:

quadratic function equation

would help

3) Find f(3) for the function below.
f(x) = 2x² – 3x

Answers

Answer:

9

Step-by-step explanation:

f(x) = 2x² – 3x

Let x=3

f(3) = 2 * 3^2 - 3*3

     = 2 *9 - 9

     = 18-9

      = 9

Answer:

f(3) = 9

Step-by-step explanation:

[tex]f(x) = 2x^2 -3x\\ f(3) = ?\\\\ f(3) = 2(3)^2 -3(3)\\ f(3) = 2(9) - 9\\ f(3) = 18- 9\\ f(3) = 9[/tex]

This rectangle has side lengths r and s.
For each expression, say whether it gives the perimeter of the rectangle, the area of the
rectangle, or neither.
1. rts
2. r.s
3. 2r + 2s
4.72 +82

Answers

Answer:

1.) Neither

2.) Area

3.) Perimeter

4.) Neither

Step-by-step explanation:

Given that the lengths of the rectangle are r and s

The perimeter of the rectangle will be:

Perimeter = 2r + 2s

Perimeter = 2(r+s)

While the area will be:

Area = r × s

Area = rs

For each expression, say whether it gives the perimeter of the rectangle, the area of the

rectangle, or neither.

1. rts = neither

2. r.s = Area of rectangle

3. 2r + 2s = Perimeter of rectangle

4.72 +82 = neither.

Let f(x) = 7x − 13. Find f−1(x)

Answers

Step-by-step explanation:

let f(x)=y

y=7x-13

y+13=7x

y+13/7=x

f-1(x)=x+13/7

The number 16 has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below: __^4 = 16 Find them.

Answers

Answer:

Step-by-step explanation:

Hello, we know that the z complex solutions of

[tex]z^4=1[/tex]

are

1, i, -1, -i

so, the solutions of [tex]z^4=16=2^4[/tex] are

2, 2i, -2, -2i

Thank you

Other Questions
Upton Co. is growing quickly. Dividends are expected to grow at 20 percent for the next three years, with the growth rate falling off to a constant 8 percent thereafter. If the required return is 11 percent and the company just paid a dividend of $1.45, what is the current share price Sharas won huntington middle schools science fair when she was in sixth and seventh grade _____ she got second this year. A.) In fact B.)Similarly C.) However D.) Therefore Florian just graduated from law school and wants to start his own law firm. It is best for Florian to use a _____ organizational structure. A variation of the acetamidomalonate synthesis can be used to synthesize threonine. The process involves the following steps: Ethoxide ion deprotonates diethyl acetamidomalonate, forming enolate anion 1; Enolate anion 1 makes a nucleophilic attack on acetaldehyde, forming tetrahedral intermediate 2; Protonation of the oxyanion forms alcohol 3; Acid hydrolysis yields dicarboxyamino alcohol 4; Decarboxylation leads to the final amino acid. Write out the mechanism on a separate sheet of paper, and then draw the structure of tetrahedral intermediate 2. Kosher Pickle Company acquires all the outstanding stock of Midwest Produce for $12.5 million. The fair value of Midwest's assets is $8.5 million. The fair value of Midwest's liabilities is $1.3 million. Calculate the amount paid for goodwill At dinner, 100 students pass through the cafeteria line and were served meals. 40 fish entrees and 60 pasta entrees were served to the students. A total of 20 students chose neither entree. Assuming all students were served zero, one, or two entrees, how many students were served two entrees 15 lwholes 5 over 8 % of a number is 555 find the number SELF-CHECK 1: Evaluate the expression given. Write the numerical answeras a fraction below. *1 point2 3+5.7Your answer Where was the cultural center for music during the Baroque Period (city and country)- where were the majority of important/influenal Baroque composers live? the following glassware was found in a lab drawer: 12 beakers, 10 flasks and 60 test tubes. what percent of the glassware are test tubes? A fish inside the water 12cm below the surface looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 the radius of circle is The equator is an _____ line that divides the earth into two. A. imaginary B. imaginative C. imaginable D. imagination Ten people were chosen at random and surveyed. The survey asked participants for the number of hours they sleep per night and the amount of their annual income. Letting X represent the number of hours the participant sleeps per night and Y represent the participant's annual income, the surveyor calculated the correlation coefficient between X and Y to be 0.29. Interpret the correlation coefficient calculated by choosing the statement below which correctly describes the correlation between X and Y. A. weak negative correlation B. strong negative correlation C. strong positive correlation D. weak positive correlation Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.2(cos20+isin20))3=__________ How were the native peoples of the Americas living prior to European contact? Simplify: (-2)(-3)+(4)(-8)Simplify: (3)(-6)-18 Leona, an African American, hears one of her white friends use a phrase that has traditionally been used to disparage blacks. She tactfully educates her friend about the history and meaning of the word because while she doesn't wish to be offended, she also knows he meant no harm. Leona is probably using a(n) _____ accommodation strategy. PLS HELPPPPPPPPPPP :p 8*10^3 is how many times larger that 4*10^2? Even within the same study, people responded quite differently to acupuncture, some showing increased flexibility, while others did not.(A) some showing increased flexibility, while others did not(B) with some showing increased flexibility, while others did not(C) with some showing an increase in flexibility and others did not(D) some showing an increase in flexibility, while others not(E) with some showing increased flexibility and others not Karim has two investments, one in Company A, and another in Company B. Karim purchased 3,000 shares in company A at $2.65 per share. Since purchasing the shares, the price per share increased to $2.95 per share, after which point Karim decided to sell, realizing a profit. At the same time, Karim purchased 2,000 shares in Company B at $1.55 per share. Since purchasing the shares, the share price fell to $1.30 per share, after which Karim decided to sell the shares, suffering a loss. Karim is required to pay tax at a rate of 28% on the combined profit from both investments. Calculate how much tax Karim must pay.