I need help with this^

I Need Help With This^

Answers

Answer 1

Answer:

If it is asking for the order of the letters, it would be: Δ J H E

Explanation:

You have to put the letters in the same order that they were on the first triangle.

Hope this helps!!  :)


Related Questions

I need help with #1 and #2 how do I do this?

Answers

Answer:

2

Step-by-step explanation:

2

Answer:

The answer to your question is below

Step-by-step explanation:

Data

1) AB = 6   BC = 4   AE = 9  ED = ?

Use proportions to solve this problem

              AB / AE = 6/9    (AB + BC) / (AE + ED) = (6 + 4) / (9 + ED)

-Equal both proportions

                              6/9 = 10 / (9 + ED)

-Solve for ED

                             9 + ED = 10(9)/ 6

-Simplification

                             9 + ED = 90/6

                             9 + ED = 15

                                   ED = 15 - 9

-Result

                                   ED = 6

2.-   AB = 12   AC = 16  ED = 5  AE = ?

Use proportions to solve this problem

             AE / AB = AE / 12          AD/AC = (AE + 5) / 16

-Equal both proportions

                          AE/12 = (AE + 5 ) / 16

-Solve for AE

                         16AE = 12(AE + 5)

                         16AE = 12AE + 60

                         16AE -12AE = 60

                                     4AE = 60

                                       AE = 60/4

-Result

                                      AE = 15                          

The lower supports are and the area of the two supports is square meters. The upper arch can be decomposed as one semicircle with radius meters minus a semicircle with radius 3 meters. The area of the archway is (π + 24) square meters

Answers

Answer:

 The lower supports are Congruent Rectangles and the area of the two supports is 24 square meters.

The upper arch can be decomposed as one semicircle with radius 6 meters minus a semicircle with radius 3 meters.

The area of the archway is (13.5 π + 24) square meters.

Step-by-step explanation:

See attachment for the firgure,

In order to determine the area of archway = The area of upper support + area of lower support.

As given, the lower support are two congruent rectangles consists of dimension 3 m × 4 m

Therefore, the area of lower support can be written as,

The area of lower support = 3 × 4 + 3 × 4 = 12 + 12 = 24 square m.

Now, the upper support arch can be decomposed as the two concentric semi circles having radius 3 m and 6 m,

Hence, the area of the upper support = Area of semi circle having radius i.e 6 m - Area of semi circle having radius i.e 3 m

=> π6²/2 - π3²/2= 27π/2= 13.5π square m

Therefore, the area of the archway =  (13.5 π + 24) square meters

Answer:

1. congruent rectangles

2. 24

3. 6

4. 13.5

Step-by-step explanation:

Got it right, have a nice day!

An aquarium Is 8 feet long , 5feet wide , and 5.5 feet deep . What is the volume of the tank ?

Answers

Answer:

220 ft^3

Step-by-step explanation:

Assuming a rectangular tank,

V = l*w*h

   = 8*5*5.5

   =220 ft^3

Name: Joseph Sandoval, single, 1 exemption. Pay Rate: 5? per unit Unit produced: M-900, T-840, W-825, T-905, F-910

Answers

Answer:

1-4380   2-219   3-15.44    4-37.1     5-6.13      7-58.67     8-160.33

Step-by-step explanation:

How are the graphs of the functions f(x) = V16 and g(x) = 3/64 related?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.

Answers

Answer:

Step-by-step explanation:

hello :

*   64 = 4^3   so : g(x) =  (∛4^3)^x = 4^x

*   16=4²        so :  f(x) = (√4²)^x = 4^x

the functions f(x) and g(x) are equivalent

For two days in a row, Windstone rescued tadpoles from a puddle. He rescued 54 on Friday. This is 17 less Then the number he rescued on Saturday. Write and solve a subtraction equation to find how many tadpoles he rescued on Saturday.

Answers

Answer:

71 tadpoles

Step-by-step explanation:

Windstone rescued 54 on Friday.

Let the number rescued on Saturday =x

The number rescued on Friday is 17 less than the number he rescued on Saturday.

This is written as:

54=x-17

To solve for x, we add 17 to both sides of the equation

54+17=x-17+1771=xx=71

Windstone Rescued 71 tadpoles on Saturday

Answer:

71 tadpoles

Step-by-step explanation:

let 't' represent the number of tadpoles he rescued on Saturday.

According to the problem,

Windstone rescued 54 on Friday.

If the number rescued on Friday is 17 less than the number he rescued on Saturday.

The equation to find  the number of tadpoles he rescued on Saturday will be:

t-17 = 54

Further solving for 't'

t= 54+17

t= 71

Therefore, Windstone Rescued 71 tadpoles on Saturday

The distance traveled can be calculated using the formula D
= S. t where s is the speed and t is the total time. Which of
the situations below represent a total distance of 120 km?
Select all that apply.
A) 40 km/hr for 3 hours
B) 60 km/hr for 2 hours
C) 30 km/hr for 4 hours
D) 25 km/hr for 5 hours

Answers

Final answer:

Situations A (40 km/hr for 3 hours), B (60 km/hr for 2 hours), and C (30 km/hr for 4 hours) represent a total distance of 120 km when applying the formula D = S * t. Situation D (25 km/hr for 5 hours) does not represent the required distance of 120 km.

Explanation:

The distance traveled can be calculated using the formula D = S * t where S is the speed and t is the total time. To find out which situations represent a total distance of 120 km, we will apply this formula to each of the given situations.

A) 40 km/hr for 3 hours: D = 40 km/hr * 3 hr = 120 kmB) 60 km/hr for 2 hours: D = 60 km/hr * 2 hr = 120 kmC) 30 km/hr for 4 hours: D = 30 km/hr * 4 hr = 120 kmD) 25 km/hr for 5 hours: D = 25 km/hr * 5 hr = 125 km

After calculating each situation, we can see that situations A, B, and C each yield a total distance of 120 km, while situation D yields a total distance of 125 km, which is not the distance we are looking for.

okay so The top of the slide is 12 feet from the ground and has an angle of depression of 53 degree . What is the length of the slide? Round your answer to the nearest whole number. please help!!!

Answers

Final answer:

To find the length of the slide, you can use trigonometry and the angle of depression. The length can be found using the tangent function, and rounding to the nearest whole number gives an answer of approximately 9 feet.

Explanation:

To find the length of the slide, we can use trigonometry and the angle of depression. We can use the tangent function, which is opposite over adjacent, to find the length of the slide. In this case, the opposite side is the height of the slide (12 feet) and the adjacent side is the length of the slide. So we have:

tan(53 degrees) = opposite/adjacent

tan(53 degrees) = 12/adjacent

To solve for the length of the slide, we can rearrange the equation:

adjacent = 12/tan(53 degrees)

Using a calculator, we can find that the length of the slide is approximately 9 feet when rounded to the nearest whole number.

what is the probablility of flipping a coin tails all three times and all three time you get tails?

Answers

Answer:

If the coin is fair, then the odds of getting heads or tails should be equal, 12. Then 3 tosses of tails will have a chance of 12⋅12⋅12=18. Tossing of the coin is an independent event. The probablility of each event is 12.

Mikes milk shakes had a total of 9 gallons of ice cream they used 3 3/9 gallons this week and 1 1/3 gallons last week how many gallons of ice cream do they have left

Answers

Answer:

Step-by-step explanation:

[tex]3 \frac{3}{9}=\frac{3 \times 9+3}{9}=\frac{30}{9}=\frac{10}{3}\\1\frac{1}{3}=\frac{1\times 3+1}{3}=\frac{4}{3}\\Total~used=\frac{10}{3}+\frac{4}{3}=\frac{14}{3}\\Left~over=9-\frac{14}{3}=\frac{9 \times 3-14}{3}=\frac{13}{3}=4 \frac{1}{3}~gallons[/tex]

Answer: 4

Step-by-step explanation:

[tex]9-(3\frac{3}{9} + 1\frac{1}{3} )\\9-(\frac{30}{9} + \frac{4}{3})\\ 9-(\frac{10}{3}+ \frac{4}{3})\\ 9-(\frac{14}{3} )\\= \frac{(9)(3)-14}{3} \\= \frac{27-14}{3} \\=\frac{13}{3}\\ \\or\\\\4 gallons[/tex]

or

= [tex]4\frac{1}{3}[/tex]

approximately

Toms parents let him choose whether to play his favorite board games for 7/8 hours or 8/8 hours explain which amount of time you think tom should choose and why ?

Answers

8/8 hours because he can play for a longer amount of time

Answer:

8/8

Step-by-step explanation:

8/8 is equal to one, so it would mean he would get to play his favorite board games for a full hour.

7/8 is only about 50 or so minutes, which is less than an hour.

If Tom chooses 8/8 of an hour, he will get to play longer.

Is 24, 45, and 51 a right triangle?

Answers

Answer: The dimensions are that of a right triangle.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

you can solve by checking with the Pythagorean theorem (a^2 + b^2= c^2)

24 and 45 are the legs because the hypotenuse is the largest side so they will be substituted for a and b. if c is equal to 51 then it would be a right triangle

24^2 + 45^2= c^2

576 + 2025 = c^2

2601 = c^2

51 = c

because c = 51 and 51 was the hypotenuse on the triangle previously mentioned 24 45 51 is a right triangle

If x represents the amount Rita earns each week, which expression represents the amount she earns in a year?
x+52
52-

Answers

im sure you would have to multiply in this case so possibly 52(x)

Trent began his math work at 5:29 p.m. He finished at 6:04 p.m. How many minutes did Trent spend on his math homework?

Answers

Answer: I am pretty sure it is 35 min

Step-by-step explanation:

Answer

Trent spent 35 minutes on his work.

Step-by-step explanation:

PLSSSSSSSSSS HELLLPPPPPP!!! ASAP!!!! 6th GRADE MATH!!!!!!!!!! ITS FOR MY COUSIN!!!!!!FIRST TO ANSWER BOTH GETS MARKED BRAINLIEST!!!!

Answers

Answer:

I believe its 15

Step-by-step explanation:

Answer for 12+7+(-4)= 15

Answer for -1.75+(-6.25)+6= -2

I hope this helps

If 5^3b-1 = 5^b-3 what is the value of b?

Answers

Answer:

  b = -1

Step-by-step explanation:

Your equation is ...

  (5^3)b -1 = 5^b -3

This is a mix of exponential and linear terms, and cannot be solved algebraically.

___

We suspect you might mean ...

  5^(3b -1) = 5^(b -3)

We can equate the exponents to find a value for b:

  3b -1 = b -3

  2b = -2 . . . . add 1-b to both sides

  b = -1 . . . . . . divide by 2

Pete is conducting a survey to determine his customers’ overall satisfaction about the quality of his company’s products. He sends out surveys to the 5 customers who have purchased the largest number of items over the past year. Are his results likely to be representative of the population he is trying to analyze? Explain.

Answers

The sample is from the right population, his customers. However, because he is surveying such a small number of people and only asking his best customers (who are probably the most satisfied, or they would not buy so much from him), the results are going to be biased, most likely positive, and not representative of his entire customer base.

No, Because, when to do some sort of analysis (such as this one), you need to take (for example) a Random sample from the population of the problem that is being analyzed.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Pete is conducting a survey to determine his customers’ overall satisfaction about the quality of his company’s products.

Let an example a Random sample from the population of the problem that is being analyzed.

In this example (problem), Pete wants to evaluate overall satisfaction of customers, so he should not send the surveys only to the customers who have purchased the largest number of items, but to the randomly selected customers, in order to obtain representative results of the overall satisfaction.

If he sends the surveys only to the customers who have bought the largest number of items, he will obtain very high satisfaction of customers, as results, of course, and this will not be representative results.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

Which expressions represent the area of the entire shaded
region, including the light and dark shading? Select three
options.
12a cm2
2b cm
(6a - b) cm
(12a + 2b) cm
(6a + b) cm

Answers

Answer:

12a cm2

2b cm2

(6a + b) cm2

Step-by-step explanation:

The complete question is

The figure consists of 12 congruent equilateral triangles. The area of one equilateral triangle is a cm2. The area of the hexagon, shaded slightly darker, is b cm2.

Which expressions represent the area of the entire shaded region, including the light and dark shading? Check all that apply.

12a cm2

2b cm2

(6a - b) cm2

(12a + 2b) cm2

(6a + b) cm2

The picture of the question in the attached figure

we know that

The area of the entire shaded  region is equal to the area of the the light and dark shading

so

step 1

Find the area of the light shading

The area is equal to the area of six congruent equilateral triangles

[tex]A_1=6a\ cm^2[/tex]

step 2

Find the area of the dark shading

The area is equal to the area of the regular hexagon

[tex]A_2=b\ cm^2[/tex]

step 3

1) Find the total area

[tex]A=A_1+A_2=(6a+b)\ cm^2[/tex]

2) Remember that the figure consists of 12 congruent equilateral triangles

so

[tex]A=12a\ cm^2[/tex]

3) The area of the light shading is the same that the area of the dark shading

so

6a=b

therefore

[tex]A=2b\ cm^2[/tex]

Answer: 1 2 5

Step-by-step explanation:

In this question, all lengths are in cm. ABC. 3x-4, 2x+12, 7x-2. Given that AB:AC = 1:2 Show that AC:BC = 2:3

Answers

Answer: AC : BC = 22 : 33 = 2 : 3

Step-by-step explanation:

Since we have given that

AB = 3x-4

AC= 2x+12

BC = 7x-2

And AB: AC = 1 : 2

and To show : AC : BC = 2 : 3

So, it becomes ,

[tex]\dfrac{AB}{AC}=\dfrac{3x-4}{2x+12}=\dfrac{1}{2}\\\\2(3x-4)=2x+12\\\\6x-8=2x+12\\\\6x-2x=12+8\\\\4x=20\\\\x=\dfrac{20}{4}\\\\x=5[/tex]

So, AC: BC becomes:

[tex]\dfrac{AC}{BC}=\dfrac{3x-4}{7x-2}=\dfrac{2(5)+12}{7(5)-2}=\dfrac{22}{33}=\dfrac{2}{3}[/tex]

Hence, proved.

Step-by-step explanation:

First find x:

AB:AC=1:2

2(3x-4)=2x+12

6x-8=2x+12

4x-8=12

4x=20

x=5

Substitute:

AC=2x+12

=(2x5)+12

=10+12

=22

BC=7x-2

=(7x5)-2

=35-2

=33

22/33=2/3

Therefore AC:BC = 2:3

work out the following questions​

Answers

Answer:

work out the following questions

Step-by-step explanation:

a.

[tex] \frac{3}{4} \times \frac{1}{2} [/tex]

[tex] \frac{3}{8} [/tex]

Now

b.

[tex] \frac{4}{7} \times \frac{21}{40} [/tex]

Now here we can see 21 is 3 times of 7 and 40 is 10 times of 4 so

[tex] \frac{3}{10} [/tex]

Hope this helps.

Eight less than twice a number is fourteen.

Answers

Answer:

x = 11

Step-by-step explanation:

2x - 8 = 14

2x = 22

x = 11

Tell me if I am wrong.

Can I get brainliest

Answer:

Let that number be 'x'

Now first part of the question tells us that 8 less than twice a number which is"x".

so twice a number would be 2x

then 8 less than would 2x-8

and the given result of the equation is 14

so the equation iis 2x-8=14

2x=14+8

2x=22

x=22/2

x=11 So the number is 11

Hope you find it helpful

Write 1.7.7.7.7.7 using an exponent

Answers

Answer:

1^7 is the answer you are looking for

Step-by-step explanation:

A home decor store donated a percent of every sale to charity .The total sales were $7,400 so the store donated $148.What percent of $7,400 was donated to charity

Answers

The correct answer is 2%. The store donated 2% of $7,400 to charity.

To find out what percent of $7,400 was donated to charity, we need to divide the amount donated by the total sales and then multiply by 100 to convert it into a percentage.

Let's denote the percent donated as P. The amount donated is given as $148, and the total sales are $7,400. The relationship between the percent donated, the total sales, and the amount donated can be expressed as:

[tex]\[ P \times 7,400 = 148 \][/tex]

To find P, we divide both sides of the equation by 7,400:

[tex]\[ P = \frac{148}{7,400} \][/tex]

Now, we calculate the value of P:

[tex]\[ P = \frac{148}{7,400} = \frac{2}{100} \] \[ P = 0.02 \][/tex]

To express P as a percentage, we multiply by 100:

[tex]\[ P = 0.02 \times 100 \] \[ P = 2\% \][/tex]

I need to find the surface area

Answers

Answer:

389.846

Step-by-step explanation

Sorry if its wrong

PLZZZZZ HELP!!!!! WILL MARK BRAINLIEST. solve for t
–4(t − 12) + 12 = –4

t =

Answers

Answer:

t = 16

Step-by-step explanation:

–4(t − 12) + 12 = –4

-12                     -12

-4(t - 12) = -16

/-4             /-4

t - 12 = 4

+12      +12

t = 16

or

–4(t − 12) + 12 = –4

distribute the -4

-4t + 48 + 12 = -4

simplify

-4t + 60 = -4

-60          -60

-4t = -64

/-4     /-4

t = 16

Answer:

64/3

Step-by-step explanation:

Calculate the portion of skiing in degrees Soccer - 5 hours Jogging - 20 Hours Walking - 10 hours Skiing - 5 hours Football - 10 hours Total - 50 hours

Answers

Answer: The portion of skiing is 36 degrees (36°)

Step-by-step explanation: In order to calculate the value of any of the given variables in degrees, we must calculate it as a fraction of the total and then convert it to a degree measure in relation to a total of 360 degrees. (Please note that a pie chart has a total of 360 degrees measurement for all the variables given)

The variables are;

Soccer - 5

Jogging - 20

Walking - 10

Skiing - 5

Football - 10

Total - 50

Therefore, the fraction that represents skiing is given as

Skiing = 5/50

Skiing = 1/10

Calculating this portion in degrees becomes,

Skiing = 1/10 x 360

Skiing = 36 degrees (36°)

Answer:

x = 36° represents the proportion of hours spent on skiing.

Step-by-step explanation:

Solution:-

- The time taken for various activities is to be represented using a pie chart.

- The individual times for various activities are given:

          Soccer : 5 hours

          Jogging : 20 hours

          Walking : 10 hours

          Skiing : 5 hours

          Football : 10 hours

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

      Total time : 50 hours

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

- An entire pie chart is represented by a circle. Where the angle representation of a complete circle is 360° - mapping the total number of hours taken for all activities.

- So,               360° ............. Total Time = 50 hours

- So we will use direct proportions to evaluate the angle representation for the number of hours spent on skiing for a pie chart:

                      x ................. Skiing time = 5 hours

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

                     50*x = 5*360

                     x = 36°

What is the mean for this data. Plz explain

Answers

Answer:

18

Step-by-step explanation:

Mean is the average of the data.

There is one 7.

Three 9's.

Two 10's

7+9+9+9+10+10=54

There are only 3 numbers with actual data so 6 and 8 don't matter.

54÷3=18

Caitlyn finds that experimental probability of her making a three-point shot is 30%. Out of 500 three-point shots, about how many could she predict she would make?

Answers

Answer: 150 shots.

Step-by-step explanation: Since her three-point shot probably is 30%, we can assume that for any total of three-point shots, only 30% of them will be "correctly shot."

Here are two methods of how to find the answer, depending on how your teacher is teaching you to calculate percentages.

Method A. Proportions

Therefore, let's make a proportion. Out of 500 shots, only 30% will be made.

[tex]\frac{30}{100} =\frac{x}{500}[/tex]

Solve for x, which in a proportion, is done by cross-multiplying and then dividing.

[tex](30 * 500) / 100[/tex]

[tex]= 150[/tex]

Out of all the 500 shots, only 150 can be made by her prediction.

Method B. Simple multiplication

30% is equal to 0.3

Therefore, you multiply [tex]0.3 * 500[/tex], which you get [tex]150[/tex].

What is the volume of this rectangular prism? 6/5cm 8/3cm 15/4cm

Answers

Final answer:

Explanation of how to calculate the volume of a rectangular prism with given dimensions.

Explanation:

The volume of a rectangular prism is calculated by multiplying its length, width, and height.

Given dimensions: length = 6/5 cm, width = 8/3 cm, height = 15/4 cm

Volume = (6/5) cm x (8/3) cm x (15/4) cm = 24 cm³

Determine the length of arc JL. A) 25/ 9 π B) 5 /13 π C) 25 /18 π D) 14 /17 π

Answers

Answer:

Option C is the right choice where length of the arc is 25/18π.

Step-by-step explanation:

Given:

Length of the radius of the circle, [tex]r[/tex] = 2 unit

Angle between the arc, [tex]\theta[/tex] = 125°

We have to find the arc length.

Let the arc length JL be "a" unit.

Formula to be used:

Arc length = (Circumference times angle ) / 360°

Using the above formula and plugging the values.

⇒ Arc length, JL, 'a' = [tex]2\pi r\times (\frac{\theta}{360})[/tex]

⇒ [tex]a=2\pi r\times (\frac{\theta}{360})[/tex]

⇒ [tex]a=2\pi (2)\times (\frac{125}{360})[/tex]

⇒ [tex]a=4\pi \times (\frac{125}{360})[/tex]

⇒ [tex]a=\frac{4\pi \times 125}{360}[/tex]

⇒ [tex]a=\frac{500\pi }{360}[/tex]

⇒ [tex]a=\frac{50\pi }{36}[/tex]

⇒ [tex]a=\frac{25\pi }{18}[/tex]          ... reducing to lowest term.

So,

The length of the arc JL is 25/18π and option C is the right choice.

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What is theapproximate probability that both students that left were a malestudents?A.25%B.26.7%C.28.4%D.50% The __function is the most basic function in a family of functions.A. reciprocalB. parentC. linearD. easy Water flows with an average speed of 6.5 ft/s in a rectangular channel having a width of 5 ft The depth of the water is 2 ft.Part ADetermine the specific energy.Express your answer to three significant figures and include the appropriate units.E =SubmitRequest AnswerPart BDetermine the alternate depth that provides the same specific energy for the same volumetric flow.Express your answer to three significant figures and include the appropriate units. A CERT member finds herself near a possible terrorist incident and sees what she suspects is an explosive device. What should she do? A. Investigate thoroughly to determine the likely type of weapon B. Use a cellular phone to report a suspected explosive device as quickly as possible C. Leave the area and report information to 911 using a land line D. Stay at the incident site to prevent unauthorized access Latisha determined the approximate amount of time each student in her homeroom class spent outside on a sunny day and on a rainy day. The dot plots below show her results.Which measures of center and variability can be used to most accurately compare the two data sets?A.mean and MADB.mean and IQRC.median and MADD.median and IQR Atticus and Heck Tate have a heated argument, as Atticus assumes Heck is ready to cover up Bob Ewells killing as a move to protect Jem. Who is Heck really trying to protect? Why does Heck fight so hard to protect this person? how do you factor 2y^2 +13 +21 Calculate the new molarity that results when 250.mL of water is added to each of the following solutions.a) 125 mL of 0.251 M HCI B) 445 mL of 0.499 M H2SO4 C) 5.25L of 0.101 M HCO3 Ductile deformation results in a change of the shape of solids without breaking them. This can also be said of elastic deformation. Watch both the Elastic Deformation and Ductile Deformation topics in the Reock Deformation Animation, and compare the two types of deformation. How is ductile deformation different from elastic deformation A. Once the stress is removed, rocks that have undergone ductile deformation return to their original shape. B. Ductile deformation can result in tight folds, whereas elastic deformation usually terminates in brittle deformation rather than tight folding. C. Once the stress is removed, rocks that have undergone ductile deformation retain their new shape. D. Ductile deformation results in folds, whereas elastic deformation results in faults. E. Ductile deformation requires internal fracturing of the rock, whereas elastic deformation does not. Which of the following best describes Zachary Taylors position on slavery in new territories during his presidential campaign HELP QUICKLY IN THE NEXT 10 MINS PLEASE WILL GIVE BRAINLIEST Suppose you've just inherited $10,000 from a relative. You're trying to decide whether to put the $10,000 in a non-interest-bearing account so that you can use it whenever you want (that is, hold it as money) or to use it to buy a U.S. Treasury bond. The opportunity cost of holding the inheritance as money depends on the interest rate on the bond.For each of the interest rates in the following table, compute the opportunity cost of holding the $10,000 as money. Interest Rate on Government Bond Opportunity Cost (Percent) (dollars per year) 8 10 What does the previous analysis suggest about the market for money? a) The quantity of money demanded increases as the interest rate rises. b) The supply of money is independent of the interest rate. c) The quantity of money demanded decreases as the interest rate rises.