Richard can read 1/4 of a book in 4/5 of an hour.At this rate ,how much can richard read in one hour

Answers

Answer 1

Assuming that Richard always reads with the same rate, there is a direct proportion between the time spent reading and the portion of book read:

[tex] \text{portion}_1 : \text{time}_1 = \text{portion}_2 : \text{time}_2 [/tex]

So, we can set up and solve the following proportion:

[tex] \dfrac{1}{4} : \dfrac{4}{5} = x : 1 \iff x = \dfrac{\frac{1}{4}}{\frac{4}{5}} = \dfrac{1}{4}\cdot \dfrac{5}{4} = \dfrac{5}{16} [/tex]


Related Questions

Simplify each expression using the order of operations. Then, match the expression (term) on the left with its solution (definition) on the right.

Match Term Definition

42 + 3 − 2(3) A) 18

22 ⋅ 8 ÷ 2 + 2 B) 44

(42 + 16) + 12 C) 75

8 ⋅ 32 + 3 D) 13

Answers

The second one is true
Final answer:

Using the order of operations, none of the provided expressions match with the given definitions (18, 44, 75, 13). It seems there's a mistake in the definitions.

Explanation:

This question requires you to use the order of operations, sometimes remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

For 42 + 3 − 2(3), first perform the multiplication: 2*3 = 6. Then add and subtract from left to right: 42+3-6 = 39. So it matches with none of the options given.For 22 ⋅ 8 ÷ 2 + 2, perform the multiplication and division from left to right: 22*8 ÷ 2 + 2 = 88+2 = 90. So it matches with none of the options given.For (42 + 16) + 12, handle the operations in the parentheses first: (42 +16) = 58. Then add 12: 58+12 = 70. So it matches with none of the options given.For 8 ⋅ 32 + 3, perform the multiplication first: 8*32 = 256. Then add 3: 256+3 = 259. So it matches with none of the options given.

It appears there may be a mistake in the definitions, as none of the terms match with their respective definitions.

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Yuki bought a pound of confetti for 12 dollars. What is the price in dollars for each ounce of confetti

Answers

1 pound = 16 ounces.

Divide by the cost by the number of ounces:

$12 / 16 ounces = 0.75 per ounce.


The cost per ounce is $0.75  (75 cents per ounce)

Please help asap 28 pts

Answers

the correct answer is C
x=-4 x=2
let me know if you need the work

In your own words, describe what the word inclusive means. (mathmateics defenition)

Answers

It means when you are containing part a whole.

endpoints of an interval

To model 15 – 11 on a number line, begin at _______ and travel 11 units to the left.

Answers

The answer is 15 cause you start at 15 and go from there


15 is the correct answer to the fill-in-the-blanks in this problem.

100 points, please help? explanations are appreciated (: ill give brainliest too

Answers

your answer would be C because 3x-1=26 because -1 and you're solving a math problem -1 would change to positive to cancel out the -1 add 1 to 26 which would be 27 then you would get 3x=27 which would then lead to 3/27 which is 9.

3x = 27 is your answer


The addition of equality states that "if you add on one side, you must add the same number to the other side."


This is true, for you add 1 to each side (doing the opposite of PEMDAS to isolate the x)



C is your answer


Hope this helps

The diagram shows a sphere with center O and a radius of 6 inches that has been cut by a plane. The cross-section formed by the plane is shaded.




Which shape is a possible representation of the cross-section?

Answers

Final answer:

The cross-section of a sphere, cut by a plane, is always a circle, and the radius of this circle would be the same as the sphere, which is 6 inches.

Explanation:

Given the description of the scenario in the question, the cross-sectional shape of the sphere formed after a plane cuts it is a circle. A spacer is always a circle when cut by a plane, no matter what direction the cut is made. If we think of the sphere as Earth, no matter where you slice it, you’ll get a circle. The diameter of this new circle would be identical to the diameter of the sphere, and hence, it’s got a radius of 6 inches.

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the graph of a polynomial has four turning points what is the least possible degree of this polynomial ?

a.3
b.4
c.5
d.6

Answers

answer : 5

For example

The quadratic equation has 1 tuning point. The degree of quadratic polynomial is 2

Cubic polynomial can have 2 turning points. The degree of cubic polynomial is 3

From this we conclude that if a polynomial has 'n' turning points, then the least possible degree is n+1

the graph of a polynomial has 4  turning points, so the least possible degree is

4+1 = 5

5 is the least possible degree of this polynomial

Final answer:

The least possible degree of a polynomial that has four turning points is 5.

Explanation:

In mathematics, specifically in polynomial function, the degree of a polynomial can be linked to its turning points. The turning point of a function is the high point (peak) or low point (trough) of a graph. The degree of the polynomial is one more than the maximum number of turning points. So, if a graph of a polynomial has 4 turning points, the least possible degree of that polynomial would be 5. Therefore, the correct answer is (c) 5.

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Find the value of x and y

Answers

We have the equations:

x + 3 = 15 and 3y - 1 = 2x - 4

x + 3 = 15    |-3

x = 12

Put the value of x to the second equation:

3y - 1 = 2(12) - 4

3y - 1 = 24 - 4

3y - 1 = 20     |+1

3y = 21    |:3

y = 7


Answer: x = 12 and y = 7.

Sofia measures the length of her car as 16 feet.

What is the greatest possible error?
____ feet

What is the margin of error?
_____ to ______ feet

Answers

Hello!

Sofia measures the length of her car as 16 feet.


What is the greatest possible error?

____ feet


What is the margin of error?

_____ to ______ feet


Answers:

A. 0.5 feet

B. 15.5 to 16.5

Sofia measures the length of her car as 16 feet So she measures the car to the nearest foot.

The rounding error can be +/- 0.5 feet

The greatest possible error is 0.5 feet

The margin of error is 15.5 to 16.5 feet


Kimberly's curtain company is making curtains for a local hotel. She wants each curtain to be 24 inches long. At the fabric store, fabric is sold by the foot. If Kimberly's curtain company wants to make 71 curtains, how many feet of fabric will she need?
1 inch =
1
12
foot

Answers

the curtains are 2 feet long. if they want to make 71 curtains, wouldn't it be 71×2 or 142 feet?

Answer: She will need 142 ft of curtain.

Step-by-step explanation:

Hi, first we have to convert the length of the curtain from inches to foot.

Since 1 inch = 1/12ft  

For 24 inches:

24 inches x 1/12 = 2 ft

Since the company wants to make 71 curtains, we have to multiply the length of each curtain (2ft) by 71.

2ft x 71 = 142ft

She will need 142 ft of curtain.

Feel free to ask for more if needed or if you did not understand something.

1.703 1.037 1.37 1.073 in order from least to greatst

Answers

1.037
1.073
1.37
1.703

Hope this helps !
Final answer:

The numbers 1.703, 1.037, 1.37, 1.073 ordered from least to greatest are 1.037, 1.073, 1.37, 1.703. This is done by comparing digits from the thousandths place and onwards.

Explanation:

To arrange the numbers 1.703, 1.037, 1.37, 1.073 in order from least to greatest, we should first compare them to the thousandth place. If the thousandths are equal, we then move to the hundredths place, and so on until the numbers can be distinguished. Let's apply this to your example:

1.037: This has the smallest thousandths digit, 0.1.073: This has the next smallest thousandths digit, 3.1.37: Although you may instinctively think that 1.37 is smaller than 1.703, remember that there's an implied 0 at the end. Therefore, it's really 1.370, making it the third largest number.1.703: This number has the greatest thousandths digit, 7.

This means the order from least to greatest is 1.037, 1.073, 1.37, 1.703.

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f(x) = {(1, 4), (2, 3), (5, 8), (4, 7)} Is f^-1(x) a function and why?

Yes, each element in the range has only one domain value.
Yes, each element in the domain has only one range value.
No, there are only a limited number of ordered pairs and can’t be determined.
No, we don’t know the original function and therefore can’t make the determination.

Answers

yes, each element in the range has only one domain value

Answer:

a) Yes, each element in the range has only one domain value.

Step-by-step explanation:

To be a function a relation between two sets must follow at least one basic condition.

* All elements of the Domain must have its counterpart into the Range.

The question asks if an inverse function of this given one is still a function. Let's check it below.

That's why it's

a) Yes, each element in the range has only one domain value.

Which ordered pair comes from the table?
x y
3 4
4 4
5 2
6 5
A. (4, 3)
B. (5, 6)
C. (6, 5)
D. (2, 5)

Answers

The answer would be C

Answer:

Option C is correct

(6, 5)  ordered pair comes from the table

Step-by-step explanation:

For this, we must indicate which of the ordered pairs shown belongs to the given table.

x y

3 4

4 4

5 2

6 5

The ordered pair is in the form of (x, y).

Option A:

(x, y) = (4, 3)

This pair is not found in the given table.

Option B:

(x, y) = (5, 6)

This pair is not found in the given table.

Option C

(x, y) = (6, 5)

This pair is  found in the last row of the given table.

Option D:

(x, y) = (2, 5)

This pair is not found in the given table.

Therefore,  (6, 5)  ordered pair comes from the table

During a particular year, 77 graduating boys chose to attend a 4-year college, while 34 boys attended a 2-year college; 83 girls chose a 4-year college, and 33 attended a 2-year college. What conclusion can be drawn?

A) If you are a boy in this group, you are more likely to attend a 2-year college than a 4-year college..
B) If you are a girl in this group, you are more likely to attend a 2-year college than a 4-year college..
C) If you are a girl in this group, you are more likely to attend a 4-year college than a 2-year college..
D) Knowing if a person attended a 4-year college will help determine gender.

Answers

C) If you are a girl in this group, you are more likely to attend a 4-year college than a 2-year college..

The girls who are likely to attend 2-year college are 39.76% and who are likely to attend a 4-year college are 60.24%. That is option C is correct.

What is the conclusion?

It is a process of making an important decision.

Given

During a particular year, 77 graduating boys chose to attend a 4-year college, while 34 boys attended a 2-year college.

83 girls chose a 4-year college, and 33 attended a 2-year college.

How to give a conclusion?

The boys who are likely to attend 2-year college are 44.16% and who are likely to attend a 4-year college are 55.84%.

Similarly,

The girls who are likely to attend 2-year college are 39.76% and who are likely to attend a 4-year college are 60.24%.

Then, option C is correct.

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What system of linear inequalities is shown in the graph? 35 points

Answers

[tex]y < 2x - 3[/tex]
[tex]y \geqslant \frac{ - 1}{2}x + 2[/tex]

Joe bought a box of laundry detergent that contains 195 scoops. Each load of laundry uses 2 1/2 scoops. How many loads of laundry can he do with this box? The box of detergent was $19.99. How much is he playing for each load that he washes?

Answers

Answer:

a)   Number of laundry he can do with this box  = 78 laundries.

b)   Price he paying for each load =  0.256 $

Explanation:

 Total scoop contained in detergent box = 195 scoops.

 Scoops used by each load of laundry = [tex]2\frac{1}{2} =\frac{2*2+1}{2} =\frac{5}{2}[/tex] scoops = 2.5 scoops

 Number of laundry he can do with this box = 195/2.5 = 78 laundries.

 Price of detergent box = 19.99 $

 Price he paying for each load = Total price/ Number of loads

                                                   = 19.99/78

                                                   = 0.256 $

Simplify step by step 1/3+6(2/3−1/6)2

Answers

To solve this problem you must apply the proccedure shown below:

1- Solve the substraction in the parenthesis and square it:

[tex]\frac{1}{3}+6(\frac{1}{2})^2\\\frac{1}{3}+6(\frac{1}{4})[/tex]

 2- Apply the distributive property and solve the addition:

[tex]\frac{1}{3}+\frac{6}{4}\=\frac{11}{6}[/tex]

The answer is: [tex]\frac{11}{6}[/tex]

[tex]\frac{1}{3} +6(\frac{2}{3} - \frac{1}{6})^2[/tex]

first we simplify the parenthesis

To simplify the fractions inside the parenthesis , we make the denominators same

[tex]\frac{1}{3} +6(\frac{2*2}{3*2} - \frac{1}{6})^2[/tex]

[tex]\frac{1}{3} +6(\frac{4}{6} - \frac{1}{6})^2[/tex]

[tex]\frac{1}{3} +6(\frac{3}{6})^2[/tex]

Simplify the fraction 3/6

[tex]\frac{1}{3} +6(\frac{1}{2})^2[/tex]

Now we square 1/2

[tex]\frac{1}{3} +6(\frac{1}{4})[/tex]

Multiply 6 inside the parenthesis

[tex]\frac{1}{3} +\frac{6}{4}[/tex]

[tex]\frac{1}{3} +\frac{3}{2}[/tex]

Now make the denominators same to add fractions

[tex]\frac{1*2}{3*2} +\frac{3*3}{2*3}[/tex]

[tex]\frac{2}{6} +\frac{9}{6}[/tex]

[tex]\frac{11}{6}[/tex]

A scientist builds a Mars rover that can travel 4.9 centimeters per second on flat ground. If the rover continues at the same rate, how many centimeters will it travel in 15 1/2 seconds?

Answers

Do do this, you use the distance formula: time * speed = distance

So you do, 4.9 * 15.5 = 75.95

So, the rover will travel 75.95 centimeters in 15.5 seconds at a speed of 4.9 cm./s

The correct answer would be 75.95 centimeters

I'll Mark The First To Answer And Work Shown Brainliest!!!!!!!! PLEASE HELP ASAP

In 2005, there were 12,000 students at Beacon High. In 2010, there were 12,250. What is the rate of change in the number of students?
a. 250/yr
b. 50/yr
c. 42/yr
d. 200/yr

Answers

Answer:

The answer is A 250/yr

Step-by-step explanation:


The answer is not A it is B. 2010-2005 is 5 and 12,250 -12000 is 250. you must divide 250 by 5 to get your answer of 50.

Use the substitution method to solve the system of equations. Choose the correct ordered pair.


2y + 4x = 18

2y – 3x = 4


A. (6, –3)

B. (5, –1)

C. (2, 5)

D. (3, 3)

Answers

Answer:

Option C is right answer.

Step-by-step explanation:

Given two equations as

2y + 4x = 18

2y – 3x = 4

We have to use substitution method.

From first equation find the value of y.

2y = 18-4x

Or y = 9-2x

Substitute this in II equation.

2(9-2x)-3x =4

18-4x-3x =4

-7x = 4-18 = -14

Divide by -7

x =2

Since y = 9-2x, substitute x=2 to get y

y = 9-2(2) = 5

Answer is (2,5)

To verify:

Substitute (2,5) in the given two equations to check.

2(5)+4(2) = 18 is right

2(5)-3(2) = 4 is also right.

Hence solution is (2,5)


Answer:

C. (2,5)

Step-by-step explanation:

You can peel 4 potaoes in 10 minute. How long will it take you to peel 14 potatoes?

Answers

It will take 35 minutes to peel 14 potatoes

Hope this helps :)

Answer:

It will take 35 minutes to peel 14 potatoes

Step-by-step explanation: Brainly?

What is the probability the person is a clown, given they are a boy? (30 pts)

Answers

According to the table given:

Total number of students are = 20

Total number of boys are = 13 , out of which, 3 will be clowns, 2 will perform acrobats and 8 will be elephant trainers.

So, we have to find the the probability that the person(a boy) is a clown. The probability will be = [tex]\frac{3}{13}=0.230[/tex]

Hence, answer is 0.230

Answer:

The probability the person is a clown, given they are a boy is:

                            0.23077

Step-by-step explanation:

Let A denote the event that the person is a boy.

Let B denote the event that the person is a clown.

Then  A∩B denote the event that the person is a boy and is a clown.

Let P denote the probability of an event.

Hence, from the table that is given to us we get:

  P(A)=0.65

  P(A∩B)=0.15

We are asked to find the  probability the person is a clown, given they are a boy i.e. we are asked to find: P(B|A)

We know that:

    [tex]P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}[/tex]

Hence, from the given values we have:

     [tex]P(B|A)=\dfrac{0.15}{0.65}\\\\\\P(B|A)=\dfrac{15}{65}\\\\\\P(B|A)=\dfrac{3}{13}=0.23077[/tex]

         Hence, the probability is:

                  0.23077

Which steps transform the graph of

y•x^2 to y = -2(x - 2)^2 + 2


Translate 2 units to the left, translate down 2 units, stretch by the factor 2


Translate 2 units to the right, translate up 2 units,stretch by the factor 2


Reflect across the x-axis, translate 2 units to the left, translate down 2 units, stretch by the factor 2

Translate 2 units to the right, reflect across x-axis, stretch by the factor 2, and translate up 2 units

Answers

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of [tex]y = x ^ 2[/tex] into [tex]y = -2(x - 2) ^ 2 + 2[/tex] the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let [tex]y = f (x-2)[/tex] then [tex]y =(x-2) ^ 2[/tex] Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do [tex]y = -f(x)[/tex] Then [tex]f (x) = -(x-2) ^ 2[/tex]

3) Stretch according to factor 2.

For this we do [tex]y = 2f(x)[/tex]

Then we have [tex]f(x) = -2 (x-2) ^ 2[/tex]

4) Move up the graph in two units:

We do [tex]y = f(x) +2[/tex]

Then [tex]y = -2(x-2) ^ 2 +2.[/tex]

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

Final answer:

To transform the graph from y • x^2 to y = -2(x - 2)^2 + 2, you need to translate 2 units to the right, reflect across the x-axis, stretch by the factor 2, and translate up 2 units.

Explanation:

The correct steps to transform the graph of y•x^2 to y = -2(x - 2)^2 + 2 are:

Translate 2 units to the rightReflect across the x-axisStretch by the factor 2Translate up 2 units

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Which are the coordinates of the x-intercept in the equation −4x+5y=20 ?

Answers

For the x intercept, also known as the zero, we set y=0 and solve for x.

-4x = 20

x = 20/(-4)

x = -5

The x axis is the line y=0 so the y coordinate of an x intercept is always 0.

Answer: (-5, 0)

Final answer:

To find the x-intercept of any equation, set y=0 and solve for x. For the given equation −4x+5y=20, setting y=0 results in the x coordinate -5, making the x-intercept of the line (-5,0).

Explanation:

The x-intercept of any equation is the point where the line crosses the x-axis. At this point, the y-value is always zero because it lies on the x-axis. In the case of the equation −4x+5y=20, we can find the x-intercept by setting y=0 and solving for x.

So, substituting y=0 into the equation, we find:
-4x + 5(0) = 20
Simplifying, this becomes -4x = 20. Dividing both sides by -4, we get x = -5.

So, the x-intercept of the line represented by the equation -4x +5y = 20 is (-5,0).

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If the water level at the lake continued to change at the same rate for 3 months in a row, explain how you could estimate the total change in water level at the end of the 3 month period.

Answers

The fraction is 7/8  is really close to 1, so you could estimate that the water level

changes by approximately -5 inches per month. The total change in the water

level at the end of the 3 month period would be approximately -15 inches.

Answer:

If the water level at the lake is decreased by the rate r each month, then the total change in water level at the end of the 3 month period is -3r.

Step-by-step explanation:

It is given that the water level at the lake continued to change at the same rate for 3 months in a row.

Let the water level at the lake is decreased by the rate r each month.

Change in the water level for 1 month period = -r units

Change in the water level for 2 month period = -2r units

Change in the water level for 3 month period = -3r units

So, we conclude that if the water level at the lake is decreased by the rate r each month, then the total change in water level at the end of the 3 month period is -3r.

If a = 5 and b = 7, what is the measure of ∠A? (round to the nearest tenth of a degree)

Answers

With assumptions about it being a *right* triangle and a and b being the legs, the answer is:  

B) 35.5°

What is the equation of the line represented by the table below?

Answers

The answer is choice D.

First, find the slope (m) using the formula: [tex]m=\frac{y_{2}- y_{1} }{x_{2} - x_{1} }[/tex]

[tex]m=\frac{11 - 6}{-1 - 0}[/tex] = [tex]m=\frac{5}{-1}[/tex] = -5

Next, plug in the slope (m) and ONE point (x₁, y₁) into the Point-Slope equation:

y - y₁ = m(x - x₁)

y - 6 = -5(x - 0)

y - 6 = -5x

   y = -5x + 6

Answer: D


PLEASE HELP ASAP!!!!!!! 
Solve the equation below for x. cx-4=7

A.x=11/c
B.x=c/3
C.x=c/11
D.x=3/c

Answers

Answer:

A. [tex]x=\frac{11}{c}[/tex]

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following equation given above:

[tex]cx-4=7[/tex]

2. The negative four will pass as a positive four to the rigth member.

3. Te sum of 7 and 4 will be divided by [tex]c[/tex], as following:

[tex]cx=7+4\\cx=11\\x=\frac{11}{c}[/tex]


Answer:

I think that the answer is A. x=11/c

Step-by-step explanation:

To prepare for wedding, aiden bought 60 candles. He paid $0.37 for each candle.How much did aiden spend on candles?

Answers

$22.20

multiply the amount of candles bought by the cost of each candle

= 60 × $0.37 = $22.20


Other Questions
PLEASE HELP!!! WILL GIVE LOTS OF POINTS IF ANSWERED!!!Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.a3x+4y12=0Answer:The slope intercept form is __The slope is __The y intercept is ( __ , __) The revolutionary government saw enemies of the Revolution everywhere. It passed laws that allowed it to arrest citizens on very little evidence. Soon, no one felt safe. Thousands of innocent prisoners were executed-some nobles, some priests, and some the ordinary "commoners" of France.A) TrueB) False Model of the plant cell In the past two weeks, Sue earned $513 at her part-time job. She worked a total of 54 hours. About how much did Sue earn per hour? Solve for t.5t70Help Please What is the value of k? eight is greater than or equal to the sum of a number and 3 Five friends are chipping in for a birthday gift for their teacher. David and Jakob each con tribute $13. Stephanie Kate and Janice each contribute eight dollars. What percentage of the total did the girls contribute Suppose the roots of a polynomial are 3 4 , 7 8 , 3 8 , and 1 9 . Which choice is a factor of the polynomial?A)(x +3/4)B) (x + 3/8)C) (x - 7/8)D) (x - 1/9) How can the author use connotation to give the following sentence a more emotional tone.The woman was overjoyed when her grandmother gave her a beautiful pin. A. Change Pin to heirloomB. change overjoyed to thrilled C. changed woman to brideD. change gave to handed Write a number that is 100 times smaller than 7,000 Do questions 1 and 2 (View picture for question 1 )1. Milton wants RST to be similar to KLM. where should he place S? A.(1,3) B.(1,6) C.(2,3) D. (2,6)2. Evaluate 3 - 4(x + 2) when x = 0 Cellular respiration, as well as other body processes, produces wastes. These wastes must be eliminated from the body in order for the body to maintain homeostasis. What is the primary organ system responsible for eliminating from the body? A jet ski rental company charges a $100 rental fee, plus $20 per hour. Write and dole an equation to determine how many hours you can rent the jet ski for it if you have a budget of $175.Solve the word problem Please answer ASAP!!What is the importance of the point of view in a narrative?A)It dictates the outcome of the storyB)It determines what the conflict of the story is and how it will be told C)It doesn't really matter to the overall meaning of the story or its purpose D)It determines how much information will be revealed to the audience What is the apparent solution to the system of equations graphed above?(3,2)(2,3)(0,-3)(0,2) what was muhammads role in establishing and spreading islam (CO 4) Forty-nine percent of US teens have heard of a fax machine. You randomly select 12 US teens. Find the probability that the number of these selected teens that have heard of a fax machine is exactly six (first answer listed below). Find the probability that the number is more than 8 (second answer listed below). an $1000 investment is made in a trust fund that pays 12% compounded monthly. how long will it take the investment to double? Ayayai Corp. prepares monthly cash budgets. Here are relevant data from operating budgets for 2017. January February Sales$360,700$401,600 Purchases120,800131,300 Salaries84,20081,600 Administrative expenses70,90073,000 Selling expenses78,10086,000 All sales and purchases are on account. Budgeted collections and disbursement data are given below. All other expenses are paid in the month incurred except for administrative expenses, which include $1,000 of depreciation per month. Other data. 1.Collections from customers: January $331,800; February $378,100. 2.Payments for purchases: January $106,100; February $141,100. 3.Other receipts: January: collection of December 31, 2016, notes receivable $18,000; February: proceeds from sale of securities $5,400. 4.Other disbursements: February $12,700 cash dividend. The companys cash balance on January 1, 2017, is expected to be $47,000. The company wants to maintain a minimum cash balance of $55,410.