In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)°, what is the value of x?
O 51
0 29
026
O 25

Answers

Answer 1

The value of x, if In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)° is 25, so correct option is D.

What is triangle?

One of the fundamental shapes in geometry is represented by the symbol Δ and consists of three connected vertices.

Given:

In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)°

Calculate the value of x as shown below,

The sum of triangles will be equal to 180°,

mZD + mZE  +  mZF = 180

4x + 2x - 3 + x + 8 = 180

7x = 180 - 5

x = 175 / 7

x = 25

Therefore, the value of x, if In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)° is 25.

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Related Questions

In the league, the Leos play 8 games. Their win to loss ratio is 5:3. The Tigers play 11 games. Their win to loss ratio is 7:4. a) Which team has the better record? Explain.

Answers

Answer:

The Tiger has the better record, because the Leo won 5 games out of 8 and the Tiger won 7 games out of 11. When we change both denominator to the same number, the Leo's is 55/88 and the Tiger is 56/88, so the Tiger has the better record

Linda was selling tickets for the school play. She sold 10 more adult tickets than children tickets and she sold twice as many senior tickets as children tickets. Find an expression for the total number of tickets sold by Linda.

Answers

Answer:X+(X+10)+(2X)

Step-by-step explanation:

Lets say X is the amount of children tickets sold.

So she sold some kid tickets and we get an X

So X

and then she sold ten more than X tickets to adults

So now we have

X+(X+10)

And then she sold twice as many senior tickets than kids tickets

so now we have

X+(X+10)+(2X)

hope that helped at all!

Anita started making sugar cookies for her friends at 9:55 A.M. It took her 1 hour and 15 minutes to make the dough and 40 minutes to bake all of the cookies. Then, Anita spent 15 minutes decorating the cookies with icing and sprinkles. What time was it when Anita finished making the cookies?

Answers

The time when Anita finished making the cookies is 12.05 pm.

How to calculate the time?

From the information illustrated, Anita started making sugar cookies for her friends at 9:55 A.M, it took her 1 hour and 15 minutes to make the dough and 40 minutes to bake all of the cookies and then, Anita spent 15 minutes decorating the cookies with icing and sprinkle.

It should be noted that the time that she finishes will be the addition of the time given. This will be:

9.55 + 1.15 + 40 + 15

= 9.55 + 1.15 + 55

= 9.55 + 2.10

= 12.05

The time is 12.05 pm

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a rectangle is constructed with its base on the diameter of a semicircle with radius 12 and with its two other vertices on the semicircle. what are the dimensions of the rectangle with maximum​ area?

Answers

As describes in geometry the area of the rectangle = 288cm

what is geometry ?

The area of mathematics known as geometry is concerned with the characteristics of the surrounding space as well as the shapes of individual objects and their spatial relationships.

solution

radius of semicircle = 12

diameter will be = 24 and this is the length of rectangle s given in the question

area of the rectangle  = l*b

                                     = 24*12

area of the rectangle = 288cm

Hence the area of the rectangle = 288cm

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number of days absentprobability 00.60 10.20 20.12 30.04 40.04 50.00 what is the standard deviation of the number of days absent?

Answers

The standard deviation of the number of days absent is found as 1.1616.

Define the term standard deviation?The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

For the stated question-

Number of Days Absent/Probability

0 -  0.601 - 0.202 - 0.123 - 0.044 -  0.045-  0.00

Thus, the mean is found as;

Mean = (0x0.60) + (1x0.20) + (2x0.12) + (3x0.04) + (4x0.04)

Mean = 0.72

Standard deviation σ = (0-0.72)² x 0.60 + (1-0.72)² × 0.20 + (2-0.72)² × 0.12 + (3-0.72)²  × 0.04 + (4-0.72)² × 0.04

Standard deviation  = 1.1616

Thus, the standard deviation of the number of days absent is found as 1.1616.

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The complete question is-

A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month.

Number of Days Absent/Probability

0 0.60

1 0.20

2 0.12

3 0.04

4 0.04

5 0.00

What is the standard deviation of the number of days absent?

find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 70 cm. what is the maximum​ volume?

Answers

The dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 70 cm will be r=0.0.7 m and h=0.08 m.

The maximum volume of  right circular cylinder of maximum volume that can be inscribed in a sphere of radius 70 cm will be 2640.4 m³.

How to find volume of Right Circular Cylinder?

Right cylinders are cylinders with axes that are perpendicular to the bases.

Volume of a Right Circular Cylinder= πr²h  

where,

r = radius of the base

h = height of right circular cylinder

Maximum volume of right circular cylinder that can be inscribed in a sphere will be,    

                  [tex]\pi r^{2} h-\frac{\pi }{4} h^{3}\\\\= \frac{4\pi r^{3} }{3\sqrt{3} }[/tex]

given that, radius=70cm=0.0.7 m

so,

       [tex]Maximum\ volume=\frac{4\pi r^{3} }{3\sqrt{3} } \\\\= \frac{4\pi (70)^{3} }{3\sqrt{3} }\\\\=2640.4\pi \ m^{3}[/tex]

Using volume of right circular cylinder,

                [tex]h=\frac{2r}{\sqrt{3} }\\\\ h = \frac{2(0.07)}{\sqrt{3} }\\\\h= 0.08\ m[/tex]

Hence, The dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 70 cm will be r=0.0.7 m and h=0.08 m.

The maximum volume of  right circular cylinder of maximum volume that can be inscribed in a sphere of radius 70 cm will be 2640.4 m³.

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Kelli walks no more than 25 dogs on Mondays. Ms. Lincdan has 5 dogs that Kelli walks. The inequality shown can be
used to find x, the number of dogs Kelli can walk on Monday in addition to Ms. Lincoln's dogs.
x + 5 ≤ 25
Which inequality represents all possible values of x?
A x ≥ 20
B x ≤ 20
C x ≥ 30
D x ≤ 30

Answers

The answer is B , x is greater than or equal to 20

if angles of a triangle are congruent then are the sides also congruent

Answers

Answer:

  yes

Step-by-step explanation:

You want to know if the sides are congruent in a triangle with congruent angles.

Law of sines

The Law of Sines tells us the sides of a triangle are proportional in length to the sines of the opposite angles.

If the angles are congruent, their sines are equal, and the sides are congruent.

Congruent angles

A triangle with congruent angles has all angles 60°. Such a triangle is called an equilateral triangle. The name "equilateral" refers to the fact that the sides are the same length.


If you invest $1,500 at 3% annual compound interest for 30 years, how much
interest would you earn? Round your answer to two decimal places.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

sus

the number of complex numbers z such that |z – 1| = |z + 1| = |z – i| equals

Answers

By using the concept of complex number, it can be calculated that

There is only one complex number which satisfies  |z – 1| = |z + 1| = |z – i|  

What is a complex number?

Any number of the form a+ib where, a and b are real numbers and           i = [tex]\sqrt{-1}[/tex] are called complex number.

Let z = x + iy

[tex]|z - 1|^2 = |z + 1|^2 = |z - i|^2[/tex]

[tex]|x + iy - 1|^2 = |x+iy + 1|^2 = |x+iy - i|^2\\(x-1)^2+y^2 = (x+1)^2+y^2 = x^2+(y -1)^2[/tex]

So the point (x, y) is equidistant from (1, 0), (-1, 0) and (0, 1)

(0, 0) is the only point which is equidistant from (1, 0), (-1, 0) and (0, 1)

z = 0 is the only complex number which satisfies  |z – 1| = |z + 1| = |z – i|

There is only one complex number which satisfies  |z – 1| = |z + 1| = |z – i|  

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A line join A (3,2) and B (3,-3) on a half centimetre grid. P i a point on the line AB uch that AP:PB =3:2
ue the x tool to plot point P

Answers

The co-ordinates of the point P that divides the line segment AB in the ratio 3:2 are (3,0)

What is Line Geometry?

A line is an endlessly long object with no breadth, depth, or curve in geometry. Lines are thus one-dimensional objects, even if they can exist in two, three, or higher dimensions. In ordinary language, the term line can also refer to a line segment with two points denoting its endpoints.

Solution:

To find the co-ordinates of point P we wil use section formula

(x,y) = (m*x2 + n*x1 / m+n), (m*y2 + n*y1 / m+n)

(x,y) = (3*3 + 2*3)/5 , (3*2 + 2*(-3))/5

(x,y) = 15/5 , 0/5

(x,y) = 3,0

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PLEASE HELP ASAPPP. WILL GIVE BRAINLIEST AND 5.0 STAR RATING.

Answers

Answer:

0.40

Step-by-step explanation:

.04 x 10 = .40

Answer: $0.40

Step-by-step explanation: The sales tax will be 4% of the selling price

The end price will be 10.40

Work out 2.151 x 10²

Answers

Answer:

215.1x

Step-by-step explanation:

2.151x(102)

=2.151*x*100

=215.1*x

=215.1x

Answer:

The answer would be 215.1x

Step-by-step explanation:

2.151 x 10^2 = 215.1x

10^2 = 100

Then multiply 100 and 2.151x

100 x 2.151x = 215.1x

analyze the solution to the system to determine whether there is a catapult arm length that aiden and natalie can both use to launch their tennis balls the same distance. explain your reasoning.

Answers

There is no catapult arm length that Aiden and Natalie can both use to launch their tennis balls the same distance.

From the graph,

x axis represents the arm length of the catapult and the y axis represents the distance.

The point at which the catapult arm length that Aiden and Natalie can both use to launch their tennis balls the same distance is the intersecting point of the both line

The coordinates of the intersecting point = (-30, 90)

Here arm length represents -30, but the arm length cannot be a negative value

Therefore, there is no arm length that gives equal distance

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Answer:

There is no catapult arm length that Aiden and Natalie can both use to launch their tennis balls the same distance.

Step-by-step explanation:

The length of a rectangle is 5 more than twice the width. The perimeter is 130 in. What is the area?

Answers

Answer:

900

Step-by-step explanation:

l = 2w + 5

2(2w + 5) + 2w = 130

4w + 10 + 2w = 130

6w + 10 = 130

6w = 120

w = 20

l = 2(20) + 5

l = 40 + 5

l = 45

130 = 2(45) + 2(20)

130 = 90 + 40

130 = 130

A = l × w

A = 45 × 20

A = 900

Could you please give me brainliest for this? Thank you!

An airplane is preparing to land at an airport. It is 40,600 feet above the ground and is descending at the rate of 3,300 feet per minute. At the same​ airport, another airplane is taking off and will ascend at the rate of 2,500 feet per minute. When will the two airplanes be at the same altitude and what will that altitude​ be?
" They will be at the same altitude in ? ​minutes, when their altitude will be ? feet. "

Answers

Answer:

2.5x103

Step-by-step explanation:

find the f-test statistic to test the claim that the population variances are equal. both distributions are normal. the standard deviation of the first sample is 2.1971 7.32 is the standard deviation of the second sample.

Answers

the f-test statistic to test the claim that the population variances are equal is F test = 2.54

We are given two samples

Standard deviation of the first sample = 2.1971

Standard deviation of the second sample = 7.32

F test statistic = Variance of the Larger sample/ Variance of the smaller sample

Variance = (Standard deviation)²

Variance for the first sample = 2.1971²

= 4.8272

Variance for the second sample = 7.32² = 53.5824

F test = 53.5824/4.8272

= 11.100

Therefore, the F test approximately = 11.100

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Trey believes there is a correlation between the number of texts sent in class and gpa. he collected data and found that the line of best fit for the data can be modeled by the equation y = 4.0 − 0.5x. identify the slope and the type of association. the slope is −4.0, which indicates a negative correlation. the slope is −0.5, which indicates a negative correlation. the slope is 4.0, which indicates a positive correlation. the slope is 0.5, which indicates a positive correlation.

Answers

Answer:

The slope is -0.5, which indicates a negative correlation.

Step-by-step explanation:

y = mx + b

Is a slope-intercept form of the equation.

The y represents the distance of the line from the y-axis. (if u were to graph the problem)

M represents the slope of the line.

An the value of b is equal to y when x = 0

The equation that was given is y = 4.0 - 0.5x, which wasn't written the normal way, like  y = mx + b, they just switched the spots from y = mx + b, to y = b + mx.

So the slope is the 0.5. (which is also -0.5)

Trust me, I took a test and it had this answer, and I got it right.

Answer:

B- -0.5

Step-by-step explanation:

-.05 is a negative correlation

Negative Correlation definition- Is a  situation or an event where two variables move in the opposite direction

(Plus I also Took the test and got it right)

Please help me ASAP!!
Create a graph of this situation.
Show that the equation (y = mx + b) of this graph equals an= -30 + (n - 1)5

Answers

The equation (y = mx + b) of this graph is equal to the equation for this arithmetic sequence aₙ =  a₁ + (n - 1)d

How to calculate an arithmetic sequence?

Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:

aₙ =  a₁ + (n - 1)d

Where:

d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.

For the 10th term, the equation for the arithmetic sequence is given by;

a₁₀ =  a₁ + (n - 1)d

15 =  a₁ + (10 - 1)d

15 =  a₁ + 9d

For the 14th term, the equation for the arithmetic sequence is given by;

a₁₄ =  a₁ + (n - 1)d

35 =  a₁ + (14 - 1)d

35 =  a₁ + 13d

Next, we would determine the common difference as follows;

a + 9d = 15

a + 13d = 35

-4d = -20

Common difference, d = -20/-4

Common difference, d = 5.

For the first term of this arithmetic sequence, we have;

a + 9d = 15

a + 9(5) = 15

a = 15 - 45

First term, a = -30

Finally, we would write an equation for the nth term of an arithmetic sequence as follows;

aₙ =  a₁ + (n - 1)d

aₙ =  -30 + (n - 1)5

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ten points labeled a, b, c, d, e, f, g, h, i, j are arranged in a plane in such a way that no three lie on the same straight line. (a) how many straight lines are determined by the ten points?

Answers

Total number of straight lines are 45 and it can be found out using combination.

What is combination?

A combination could be a choice of things from a collection that has distinct members, such the order of choice doesn't matter.

Main body:

Total points = 10

we need to find no three lie on the same straight line.

so , to find we can select 2 lines out of 10 and assume packing them together so  no 3 points lie on a line .

selection of 2 points out of 10.

C(10,2) = ¹⁰C₂

           = 10!/2!8!

           = 10*9/2

           = 45 lines.

Hence ,Total number of straight lines are 45 .

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simplify the expression 8s−11s+6

Answers

8s-11s= -3s

The simplified answer is -3s+6

A new car is purchased for 22600 dollars. The value of the car depreciates at 11. 5% per year. To the nearest tenth of a year, how long will it be until the value of the car is 5200 dollars?.

Answers

When the car is acquired for $22600 and depreciates at an 11.5% rate, it will take 6.7 years for its worth to reach $5200.

What is percent?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Here,

Cost of car=$22600

Rate of depreciation=11.5%

After n years, value of car=$5200

Annual depreciation expense=22600*11.5%

=$2599

Value of the Car = Purchase cost - (Annual depreciation expenses * n)

5200=22600-(2599*n)

2599n=22600-5200

2599n=17400

n=6.695

n=6.7 years

The number of years until the value of the car is 5200 dollars at depreciation rate of 11.5% when purchased at 22600 dollars will be 6.7 years.

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a runner is participating in half marathon he has run 12 of the 15 miles course what percent of the course has he run so far?

Answers

He has run 75% of the course

hana is 4 year older than her brother. 2 years ago, her brother’s age was ¾ of her age. how old will her brother be in 5 years?

Answers

hana is 4 year older than her brother. 2 years ago, her brother’s age was ¾ of her age then brother age will be 19 years

The concept of age describes how old a person is at a particular point in time. It is defined as the measure of the time elapsed from date of live birth to a specific point in time, usually the date of collection of the data

Hana is 4 years older then her brother

let x be brother present age

and x+4 be the hana present age

2 year ago

hana was x+2

and brother was x-2

according to the question

x-2= 3/4 * ( x+2)

x= 14

after 5 years he will be 19 years

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17/-2n=-8.5 (with steps please)

Answers

Hope this helps you

Linda received a $25.00 gift card for a photo center. She used it to buy prints that cost 25 cents each. The remaining balance, B (in dollars), on the card after
buying x prints is given by the following.
B=25.00-0.25x
What is the remaining balance on the card if Linda bought 30 prints?

Answers

Answer:$17.50 remaining

Step-by-step explanation: 0.25 x 30 = 7.50

7.50 - 25.00 = $17.50 remaining

Answer:

$17.5

Step-by-step explanation:

B = 25 -0.25(30)

B = 25 - 7.5

B = 25.0 - 7.5

B = $17.5

recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice, how much grape juice would you need for 15/4 quarts of sparkling water

Answers

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

15/8 quart of grape juice is needed for 15/4 quart of sparkling water.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The recipe for sparkling grape juice calls for 1(1/2) quart of sparkling water and 3/4 quart of grape juice,

This means,

1(1/2) quart of sparkling water = 3/4 quart of grape juice

3/2 quart of sparkling water = 3/4 quart of grape juice

Multiply 15/6 on both sides.

15/6 x 3/2 quart of sparkling water = 15/6 x 3/4 quart of grape juice

15/4 quart of sparkling water = 15/8 quart of grape juice

Thus,

15/8 quart of grape juice is needed for 15/4 quart of sparkling water.

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question professor liu gave the same quiz to the students in her morning class and in her afternoon class. the average (arithmetic mean) score for the two classes combined was 84. which class had more students?

Answers

From the given average the number of students are more in the afternoon quiz as compare to the morning quiz .

As given in the question,

Combined average score of the two classes = 84.

Average score of students in the morning quiz = 80

Let 'x' be the number of students in the morning quiz

80 = ( Sum of all number of students in the morning quiz) / x

⇒  Sum of all number of students in the morning quiz = 80x __(1)

Average score of students in the afternoon quiz = 86

Let 'y' be the number of students in the afternoon quiz

86 = ( Sum of all number of students in the afternoon quiz) / y

⇒  Sum of all number of students in the afternoon quiz = 86y __(2)

Average score of combined classes = ( 80x + 86y ) / (x + y)

⇒ 84 = ( 80x + 86y ) / (x + y)

⇒ 84x + 84y = 80x + 86y

⇒4x = 2y

⇒ y = 2x

Number of students in the afternoon are double  the number of students in the morning.

Therefore, from the given averages afternoon class has more number of students than morning class

The complete question is :

Professor Liu gave the same quiz to the students in her morning class and in her afternoon class. The average (arithmetic mean) score for the two classes combined was 84. Which class had more students?(1) The average score for the students in the morning class was 80

(2) the average score for the students in the afternoon class was 86

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If the function f (x) is the absolute value of 3 more than the value of x. Select all the true statements.

The x-intercept of the function is 3.

The range of the function is (f (x) f(x) E R).

The function is positive in the interval -3 < x < 00.

The function is increasing in the interval -3 < x < [infinity]0.

The function is negative in the interval -[infinity]o < x < -3.

The function is decreasing in the interval -[infinity]o < x < -3

Answers

Answer:

The function is positive in the interval -3 < x < ∞.The function is increasing in the interval -3 < x < ∞.The function is decreasing in the interval -∞ < x < -3.

Step-by-step explanation:

You want to identify the true statements about the function f(x) = |x+3|.

Graph

A graph of the function is attached. It shows the function is decreasing to the left of x = -3, increasing to the right of that point, and has an x-intercept at x = -3. The function is positive everywhere.

The true descriptions are ...

The function is positive in the interval -3 < x < ∞.The function is increasing in the interval -3 < x < ∞.The function is decreasing in the interval -∞ < x < -3.

Could someone help me understand what v is

Answers

The value of v in the triangle is 15 degrees.

How to find the angle of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

The exterior angle theorem is used to find the value of v.

Therefore,

31 + 4v + 44 = 9v

31 + 44 = 9v - 4v

75 = 5v

divide both sides by 5

v = 75 / 5

v = 15

Therefore,

v = 15

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a marketer is scheduling creatives for their upcoming campaign in campaign manager 360. what is one thing they need to do to ensure an ad will run every time? 46. the sled is pulled up a higher hill that is less steep than the original hill described before question 44. how does the speed of the sled at the bottom of the hill (after it has slid down) compare to that of the sled at the bottom of the original hill? A 60kg board that is 6mm long is placed at the edge of a platform, with 4m of its length extending over the edge. The board is held in place by blocks of masses M1M1 and M2M2 placed with their centers of mass on either end. If M2=30kg M2=30kg , what is the minimum value of M1 needed to keep the board from falling off the platform?30kg50kg60kg70kg90kg If units of a certain commodity are produced, then the marginal cost is dc/da = 9x^2+4x+15x ^1/4 + 10. Suppose the total cost of producing the 1st unit is 100. Calculate the total cost of producing the first 16 units. (calculus 1) 3. The function h(x) is a transformed function of f(x) = |x|. The transformation is as follows: 3 units vertical shift down, 2 units horizontal shift right.a. Write the transformed equation, h(x).b. Graph f(x) and h(x) on the same coordinate plane. Be sure to label the functions f(x) and h(x). This must be graphed by hand or by using the tools in Word. You may not use a web-based graphing program. What percentage of 2000 is 1200 cascio et al., (2017) conducted a study where they found an interaction effect between sensitivity to social exclusion and socio-economic backround in predicting conformity. what was the finding? true or false? because they are natural, herbs are much safer to use for medicinal purposes than pharmaceutical drugsNeed ASAP Which equation has the solution x = 5? Select each correct answer. Responses 324x=12 32 minus 4 x equals 12 25x+4=9 25 over x end fraction plus 4 equals 9 x5+5=6 x over 5 end fraction plus 5 equals 6 182x=9 18 minus 2 x equals 9 11 + 6x = 22 (fill in the blank) this service may be the most important service on the internet, because many people who have no other use for the internet use it. in march, before most consumers begin shopping for summer products, a shoe factory offers retailers a seasonal discount on sandals. what are the purposes of this pricing tactic? (choose every correct answer.) the unemployment rate is currently 6% higher than the natural rate of unemployment. the current quantity of output is greater than potential output. the natural level of output is $3 trillion. Members of which major political party are more likely to support increasing taxes on the wealthy to reduce budget deficits?. Ellis company issues 6. 5%, five-year bonds dated january 1, 2021, with a $250,000 par value. The bonds pay interest on june 30 and december 31 and are issued at a price of $255,333. The annual market rate is 6% on the issue date. The caste system of ancient India described how people were divided into what How many moles of propane react when 294 g of CO2 form? C3H8+5O2 ->3CO2+4H2O ? 1 mol C3H8 ] 20 students selected macaroni and cheese and 16 students chose the cajun potato barrels. each student was asked to rate the item they chose on a scale from 1 (extremely dislike) to 9 (extremely like). which of the following prevents this study from being a well-designed experiment? adams inc. began the year with $495,000 in the equipment account. during the year they sold equipment that had originally cost $50,000 for $20,000. the ending balance in the equipment account was $650,000. which of the following statements are true? If a company has $2,000,000 invested in buildings, equipment, and other assets and desires to earn a return on investment of 30%, the company will need to earn a net income of $600,000 assume a simplified banking system subject to a 10 percent required reserve ratio. if there is an initial increase in excess reserves of $90,000 and all possible loans are made, the money supply: