Can someone pls help me with this question

Can Someone Pls Help Me With This Question

Answers

Answer 1
The answer will be C. -3

Related Questions

I need to find the measure of

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Answer:

so it would be 5+20

Step-by-step explanation:

Pls help with this ASAP :)

Answers

Answer:

No Solution

Step-by-step explanation:

-8x - 2(7+2x) = -6(2x+5)

-12x - 14 = -12x - 30

-14 = -30, False

No Solution

No Solution is the Answer

In DEF, sin D = 24/26 What is cos E?

A. 24 26
B. 10 24
C. 10 26
D. 26 10​

Answers

Answer:

your answer will be option A. 24/26

Step-by-step explanation:

hope it helps....

In [tex]\triangle[/tex] DEF,  [tex]SinD = \frac{24}{26}[/tex] ,  then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .

What are trigonometric ratios ?

Trigonometric ratios are defined as the sides and angles of a right-angled triangle are dealt with in Trigonometry.

We have,

[tex]\triangle[/tex] DEF,

[tex]SinD = \frac{24}{26}[/tex]

We know that,

[tex]SinD=\frac{Perpendicular}{Hypotenuse}=\frac{EF}{ED}[/tex]  and  [tex]CosE=\frac{EF}{ED}[/tex]

Using Pythagoras Theorem,

[tex]P^{2} +B^{2} =H^{2}[/tex]

i.e.

[tex]EF^2+FD^2=EF^2[/tex]

[tex]24^{2} +FD^2=26^2[/tex]

[tex]FD^2=676-576[/tex]

[tex]FD=10[/tex]

But when we look from [tex]\angle E[/tex] for [tex]Cos E[/tex] then,

[tex]CosE=\frac{EF}{ED}[/tex]

so,

[tex]CosE=\frac{24}{26}[/tex]

So, the value of    [tex]CosE=\frac{24}{26}[/tex] is derived using the Trigonometric ratios.

Hence, we can say that In [tex]\triangle[/tex] DEF,  [tex]SinD = \frac{24}{26}[/tex] ,  then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .

To know more about Trigonometric ratios click here

https://brainly.com/question/13724581

#SPJ2

What is the value of x, and what is the missing angle?

NO LINKS, THEY WILL BE REMOVED

Answers

Answer:

x = 14

Missing angles: 33° and 57°

Step-by-step explanation:

(2x + 5) + (3x + 15) = 90° (complementary angles)

Add like terms

5x + 20 = 90

5x = 90 - 20

5x = 70

x = 70/5

x = 14

✔️Plug in the value of x to find each missing angle:

2x + 5 = 2(14) + 5 = 33°

3x + 15 = 3(14) + 15 = 57°

My sister needs help with this problem

Can you post step by step
Thank you!

Answers

Answer:

D.

Step-by-step explanation:

When you replace the x and y in "2x-y" with (4,-2) its going to be 2(4)-(-2) and thats going to make it greater than 3.

If you are just building your payment history, how many points from a perfect score will you possibly miss?
A. 297.5
B. 85
C. 255
D. 127.5

Answers

I think c maybe not sure or choose one who you think it is I am not 100% sure

Answer: 297.5

Step-by-step explanation:

Your credit history is 35% of your credit score. The highest points in credit is 850. Since you have no credit score, you would do (850)(0.35) which equals 297.5

I need a bit of help on this one.
Jason has two bags with 6 tiles each. The tiles in each bag are shown below:
There are 6 squares labeled with number's going from 1 to 6 from left to right
Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 5 from the first bag and an odd tile from the second bag?


3/6
4/6
3/36
4/36

Answers

Answer:

4/36

Step-by-step explanation:

6x6=36/denominator

for second bag we need the highest Expectancies in a questionlike this so it would be 4 but for denominator we dont need highest expectancies we need a correct answer

Find the range, median, and mode of this stem and leaf plot. Please help I have no idea how to do this

Answers

what yung papi said

What is the surface area of the container?
A.
1,228 sq cm
B.
1,636 sq cm
C.
219 sq cm
D.
818 sq cm

Answers

Answer:

the correct answer is B

Step-by-step explanation:

got it right!!!!

2(20 - 3x) = x
[tex]ax {}^{2} + bx + c = 0[/tex]

Answers

Answer:

                   

Step-by-step explanation:

                                                                         

The student body president of a high school claims to know the names of at least 1000 of the 1800 students who attend the school. To test this claim, the student government advisor randomly selects 100 students and asks the president to identify each by name. The president successfully names only 46 of the students. Identify the population and parameter of interest.

Answers

Answer: Population = Total students attend the school.

Parameter = Proportion of students named by president correctly.

Step-by-step explanation:

Population for a particular study is the largest possible group of individuals that are essential to be considered.

Parameter = measure of characteristic in a population.

By the above definition, we have

Population = Total students attend the school(1800).

Parameter = Proportion of students named by president correctly.

write an exponential formula of the form f (t)=a×b^t to represent the following situation. assume t is in years. an investment of $11,500 triples every 14 years. round your values to the three decimal places. f(t)=________​

Answers

Answer

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Explanation

Given

[tex]a = 11500[/tex] -- initial

[tex]b = 3[/tex] ---- every 14 years

Required

The exponential equation

The exponential equation is:

[tex]y =ab^T[/tex]

First, calculate the yearly rate.

Triples every 14 years, implies that:

[tex]b = 3[/tex] -- the rate

[tex]T=\frac{t}{14}[/tex] ---- time

So:

[tex]y =ab^t[/tex]

[tex]y = 11500 * (3)^{\frac{t}{14}}[/tex]

Hence:

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Each day last week, Ms. Wilson walked 3/4 mile. What is the total distance, in miles, that Ms. Wilson walked in four days.

Answers

5.25 oooooooooooooooo

Answer:

3

Step-by-step explanation:

If I’m wrong sorry

But can I get brainlist

Find the Domain and Range

Answers

Answer:

See explanation below

Step-by-step explanation:

Domain =  [tex]-7\leq x\leq infinity[/tex]

Range = [tex]-1<y<infinity[/tex]

Domain refers to the set of x values of the graph, while range refers to the set of y values of the graph.

h(1)=-6 h(2)= 20 h(n)= h(n-2)+h(n-1) What is the value of h(3)?

Answers

9514 1404 393

Answer:

  14

Step-by-step explanation:

Use the formula with n=3.

  h(3) = h(3-2) +h(3-1)

  h(3) = h(1) +h(2)

  h(3) = -6 +20 . . . . . substitute the given values

  h(3) = 14

#The extremities of the diagonal of a square are (1,1 )and (-2, -1).Obtain the two other vertices and the equation of a next diagonal.
#
find the area of the triangle with vertices(1,2),(2,3),and(4,5).what inference can you draw about the points from your upshot?​

Answers

Answer:

(i) (-3/2, 3/2) and (1/2, - 3/2)

6x + 4y = - 3

(ii) Points are col linear

Step-by-step explanation:

Let the coordinates of the point(lower) be (a, b) and that of upper be (x, y).

Using mid point formula,

Mid point of diagonal(using the given points) is:

= ( (-2+1)/2 , (-1+1)/2) = (-½ , 0)

Using (a, b) and (x, y) :

= ( (a+x)/2 , (b+y)/2 ) = (-1/2, 0)

Which means, a+x= -1 & b + y = 0

Therefore, x = - 1 - a & b = - y

Using distance formula, diagonal = √(-2-1)² + (-1-1)² = √13

Knowing the relation in diagonal and side, side = diagonal/√2 = √13/√2 = √(13/2)

Again using distance formula, diagonal = √13

=> √(x - a)² + (y - b)² = √13

=> (-1-a -a)² + (-b - b)² = 13

=> a² + b² + a = 3 ... (1) [solved directly]

Length of side = √(13/2)

=> √(a-(-2))² + (b-(-1))² = √(13/2)

=> a² + b² + 4a + 2b = 3/2 ...(2)

On solving (1) and (2):

a = 1/2 or -3/2, but a lies in 4th quadrant so a > 0, thus, a = 1/2

b = -3/2 or 3/2, but b lies in 4th quadrant so b < 0, b = -3/2

Therefore,

x = - 1 - a = -1 - 1/2 = -3/2

y = - b = - (-3/2) = 3/2

Vertices are (x, y) = (-3/2, 3/2) and (a, b) = (1/2, -3/2)

Equation is just a relation in y and x, for a relation:

Subtract (1) from (2):

3a + 2b = -3/2 => 6a + 4b = - 3

By merely replacing a, b by x, y

6x + 4y = -3 is the required equation

(ii):

Ar. of ∆ = ½ | 1(3 - 5) + 2(5 - 2) + 4(2 - 3) |

Ar. of ∆ = ½ | -2 + 6 - 4 | = 0

As the area of the ∆ is 0, the given points don't form ∆, they are col linear.

30. find the value of x
(7x + 10) (11x - 6)

Answers

This is the answer I hope it’s correct

Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.

Write and solve an inequality which can be used to determine o, the number of outfits Eli can purchase while staying within his budget.
(write the equation that you used to solve this )

Answers

Answer:

Step-by-step explanation:

First of all we have to discover how much he spent.

356.89 + 2(16.70) + 27.47 = $417.76

Now we have to find how much money he saved

640 - 417.76 = $222.24

the total cost of biking outfits must be eqaua or less than $222.24..

We know the price of a single outift so we can write this inequality:

74.08o ≤ 222.24

we can find o by dividing the two members of the inequality:

o ≤ 222.24/74.08  = 3

o≤ 3

this mean that he can buy 1, 2 or 3 outfits

Warren has a container which holds 22 books of the same shape and size. The exact breakdown of his books is shown below:

6 white books
9 purple books
7 green books
Each time, Warren takes out a book at random. He will replace the book and take out another book from the container. What is the probability that Warren takes out a green book in both draws? (3 points)

a
7 over 22 multiplied by 7 over 22 equal 49 over 484

b
7 over 22 multiplied by 6 over 21 equal 42 over 462

c
7 over 22 plus 6 over 21 equal 279 over 462

d
7 over 22 plus 7 over 22 equal 308 over 484

Answers

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(\text{White})=\dfrac{6}{22}[/tex]

[tex]P(\text{Purple})=\dfrac{9}{22}[/tex]

[tex]P(\text{green})=\dfrac{7}{22}[/tex]

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

[tex]P=P(\text{green})\times P(\text{green})[/tex]

[tex]P=\dfrac{7}{22}\times \dfrac{7}{22}[/tex]

[tex]P=\dfrac{49}{484}[/tex]

Therefore, the correct option is (a).

Since Spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since Spring started.

Write a linear equation in slope-intercept form that can be used to approximate the data distribution using the two data points labeled on the best fit line.

Answers

Answer:

y=1x-b is thou answer

Answer:

um yeah i have that question but it isnt right?

Step-by-step explanation:

I dont know why it didnt work :(

In science class, students are learning about organic compounds. An acetic acid
molecule is made of 2 carbon atoms, 2 oxygen atoms, and 4 hydrogen atoms.
What is the ratio of carbon atoms to all atoms in 2 molecules of acetic acid?
A 4:12
B 4:16
C 12:4
D 16:4

Answers

The answer is B) 4 : 16

Explanation:
RATIO FOR 1 MOLECULE OF ACETIC ACID:
2 carbon atoms : 2 oxygen atoms : 4 hydrogen atoms
Since its asking how many for 2 MOLECULES, we double the ATOMS (we multiply all by 2)
RATIO FOR 2 MOLECULES OF ACETIC ACID:
4 carbon atoms : 4 oxygen atoms : 8 hydrogen atoms
The question only asks for the ratio of carbon atoms to ALL atoms. To calculate all atoms, we add 4 + 4 + 8 = 16
So if there are 4 carbon atoms and the sum of all atoms is 16, out final ratio answer is:
B.) 4 : 16
Mark me brainliest please!!

A lawn service owner is testing new weed killers. He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications. Construct a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. what is the upper confidence limit for p

Answers

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that [tex]\pi = 0.89, n = 60[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.9564[/tex]

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Answer:

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that

90% confidence level

So , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564

Step-by-step explanation:

Please help with this I don’t know how to work with slopes

Answers

Answer:

1/2x

Step-by-step explanation:

Slope is

Rise over run  In a fraction the rise is the numerator and the run is the denominator

From getting one point to another

You rise 1 and run 2

Which is the equivalent of 1/2

Answer:

Step-by-step explanation:

(-1, -4) (1, -3)

(-3 + 4)/(1 + 1) = 1/2

Find each trig ratio.

Answers

Answer:

a) 12/13

b) 5/13

Step-by-step explanation:

sin k = 12/13

cos k = 5/13

Please Help!!

Jacqui has 162 trading cards. She buys 25 more trading cards. Then, she puts her trading cards into a binder. Each page of the binder holds 9 cards.
After filling as many pages as she can, Jacqul gives the rest of the trading cards to her brother.
How many trading cards does Jacqui give to her brother?

Enter the answer in the box.
trading cards

Answers

Are you given how many pages are in the binder?

Which situation is a result of focal policy
O A A Corporationis fines for violating regulations.
3. A school gets more money to buy computers,
O C. A bank offers a loan to a small business.
D. A consume hes limites options for food at a store

Answers

Point D
I believe so

The Roman Numeral MCM means​

Answers

Answer:

See explanation below

Step-by-step explanation:

The Roman Numeral MCM means 1900.

The first M is 1000, CM means 900 ==> 1000 + 900 = 1900

HELP Easy math easy points look at the photo

Answers

Answer:

x = 60

Step-by-step explanation:

33 + 87 + 60 = 180

:))

Answer:

x = 60

Step-by-step explanation:

Given the angles in the diagram below, what is mZ2?

Answers

Answer:

98

Step-by-step explanation:

Hello There!

The angle that has a measure of 82 degrees and the angle labeled "2" are supplementary angles.

This meaning that the sum of the two angles is 180

So to find the missing angle (2) we subtract the given angle (82 in this case) from 180

so ∠2 = 180 - 82

180 - 82 = 98

Hence, the answer is 98°

Evaluate(8−3i)(3+2i)​

Answers

Answer:

The answer is 30+7i.

Step-by-step explanation:

Imaginary Number Definition

[tex]\large\boxed{{i=\sqrt{-1}}}[/tex]

Simply evaluate like how you evaluate polynomials. Expand the expression in.

[tex]\large{(8-3i)(3+2i)=[(8*3)+(8*2i)]+[(-3i*3)+(-3i*2i)]}\\\large{(8-3i)(3+2i)=(24+16i)+(-9i-6i^2)[/tex]

Therefore, our new expression when cancelling out the brackets is:

[tex]\large\boxed{24+16i-9i-6i^2}[/tex]

Imaginary Number Definition II

[tex]\large\boxed{i^2=-1}[/tex]

Therefore, substitute or change i² to -1

[tex]\large{24+16i-9i-6(-1)}\\\large{24+7i+6}\\\large{30+7i}[/tex]

Complex Number Definition

[tex]\large\boxed{a+bi}[/tex]

Where a = Real Part and bi = Imaginary Part.

Therefore, it's the best to arrange in the form of a+bi.

Hence, the answer is 30+7i.

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The SEC has issued independence rules that differ from the AICPA's in all of the following areas except:A) working paper documentation.B) provision of other professional services.C) human resource and compensation-related issues.D) required communication. #8: Donovan publishes a magazine of short stories. He keepstrack of the number of copies (y) of the magazine he has soldafter each of the first x days. After 1 day,Donovan had sold 20 copies of his magazine. After 2 days, hehad sold 32 copies of his magazine. He connects these twopoints with a straight line to estimate hisfuture sales. What is the equation of the line Donovan drew?A.Y-20= 12(x - 2)B.Y-32= 12(x - 20)C.Y-2012(x - 1)D.Y-2 = 12(x - 1) What is a parallel sentence example? Explain how to find the value of a line's y-intercept using its point-slope equation. Find the missing fraction _+ 1/16=3/2 6and 3/4 divided by 1 and 1/18 Twice last month, Judy Carter rented a car from a car rental company and traveled around the Southwest on business. The company rents its car for a daily fee, plus an additionalcharge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 450 miles, and the rental cost her $222.00. On her second business trip she drove 200 miles in 3 days, andpaid $139.00 for the rental. Find the daily fee, and find the mileage charge.Daily fee is $, and the mileage charge is $. What will be the nature of roots of quadratic equation 5x 4x 5 0? Why can't humans always use fossil fuels for energy? Is the 3x 1 conjecture? though akbar held discussions with jesuit missionaries, the mughals generally considered europeans to be barbarians and did not import their products. How many grams of NaOH is produced from 120 grams of NaO? The allocation of the cost of a plant asset to expense over its useful life is called:a. productionb. depreciationc. amortizationd. depletion Read the following paragraphs:Yeast makes bread rise. There is active dry yeast and instant yeast. Either can be used. They are processed differently and must be handled differently.Active dry yeast has been heat treated. The outer layers of cells are dead. Dissolve it in liquid with sugar, called proofing, before mixing with the other ingredients. This removes the dead cells and activates the yeast.Instant yeast has been gently dried. Its outer cells are alive. It does not need to be proofed and can be mixed with other ingredients.This essay would benefit from transitional words and phrases. Choose the option below that uses transitions most effectively.A.Yeast makes bread rise. There are two types of yeast commonly used in bread making, active dry yeast and instant yeast. Either type can make good bread, but each has been processed differently and thus must be handled differently.Active dry yeast has been heat treated, and as a result the outer layers of cells are dead. Before mixing this kind of yeast with other ingredients, it must first be dissolved in liquid with some added sugar. This step, called proofing, removes the dead cells and activates the yeast.Instant yeast has been more gently dried. Unlike active dry yeast, its outer cells are still alive. Since it does not need to be proofed, it can be mixed directly into other ingredients.B.Yeast makes bread rise, including active dry yeast and instant yeast. Either can be used, but based on the fact that they are processed differently, they must be handled differently.First, active dry yeast has been heat treated. The outer layers of cells are dead because of it. Dissolve it in liquid with sugar, defined as proofing, before mixing with the other ingredients. This then removes the dead cells, and activates the yeast.Second is instant yeast, which has been gently dried. Its outer cells are alive in consequence. It does not need to be proofed and can be mixed with other ingredients.C.Yeast makes bread rise. For example, there is active dry yeast and instant yeast. Either can be used. They are processed differently, however, and must therefore be handled differently.Active dry yeast has been heat treated. Specifically, the outer layers of cells are dead. First, dissolve it in liquid with sugar, called proofing, before then mixing it with the other ingredients. This removes the dead cells and activates the yeast.Instant yeast has been gently dried. Its outer cells, in contrast to active dry yeast, are alive. At this point, it does not need to be proofed and can be mixed with other ingredients.D.Yeast, such as active dry yeast and instant yeast, makes bread rise. Subsequently, either can be used. Practically, they are processed differently and must be handled differently.For instance, active dry yeast has been heat treated. The outer layers of cells are dead. Dissolve it in liquid with sugar, called proofing, before mixing with the other ingredients. This removes the dead cells and activates the yeast.However, instant yeast has been gently dried. In contrast, its outer cells are alive. It does not need to be proofed and can be mixed with other ingredients. How many types of judges are there? Here is everything you will need for your flvs u.s history module 3 DBA module 3 dba -expansionismpolicy of growing a nation's physical territory or political influence-isolationismpolicy of refraining from involvement in global affairs -imperialismpolicy of creating colonies in weaker natigns in order to generate raw materials and have access to new markets-interventioninvolvement by a foreign power in the affairs of another nation, typically to achieve the stronger power's aims-sphere of influencean area or region over which a country has significant cultural, economic, military or political influence-nationalismdevotion to the interests of one's own nation, desire and plans for national independence-militarismthe policy of making military interest very strong; a political situation in which the military interest dominates government policy -convoygroup of merchant ships sailing under the protection of a group of battleships-conscientious objectorperson who refuses to fight in a war, usually because of religious beliefs-demilitarized zonearea where no military activity is permitted-trench warfarestyle of warfare that relied on a series of opposing dug-in defensive ditches-armisticean agreement to end an armed conflict-demobilizationthe period after an armed conflict when soldiers are sent home and industries reduce or halt their production of war materials-disarmamentthe reduction or disbanding of a nation's army-reparationscompensation paid by a defeated nation-state to the victors after a war-sanctionsa penalty or punishment given for violating a law or directiveThe difference between fourteen points & treaty of versailles fourteen points was wilsons speech for peace of germany and treaty of versailles was to go against wilsons wishes and be harsh towards germany WHAT CONTRIBUTE MPERIALISM Turner's Thesis: an idea advanced by historian Frederick Jackson Turner that argued that Americans should seek a new frontier, one in foreign lands, because this would helpAmericans maintain their inventive and energetic spiritsWHAT CAUSED IMPERIALISMbig stick policy roosevelt corollary All of the following are true about diuretics EXCEPT:A. Athletes use them to flush out traces of banned substances before a drug test.B. Athletes can lose sodium and potassium from increased urine output.C. Athletes use them to meet weight restrictions.D. Athletes use them to block pain. according to the article, which of the following is not a way in which the english language demonstrates a positive bias toward the masculine and a ne a bank receives a demand deposit of $10,000. the bank loans out $5000 of this deposit and increases its excess reserves by $3000. what is the legal reserve requirement? on october 1, black company receives a 10% interest-bearing note from reese company to settle a $15,400 account receivable. the note is due in 6 months. on december 31, black should record interest revenue of