Why is looking at cash flow an important step in a good financial plan?

Answer:

They will have the same amount of sugar in their canisters in 15 days

Step-by-step explanation:

Here in this question, we are concerned with knowing the number of days in which the amount of sugar in both canisters will be the same.

Since we do not know the number of days it will

take, we have to represent it using a variable.

Let the number of days be x days

Now, we are told Li uses 8.4 g per day.

So in x days, the amount user will be 8.4 * x = 8.4x g

Thus, the amount of sugar remaining in her canister after x days will be 128 - 8.4x

For Sue, she uses 12.6 grams each day. So in x days, the amount of sugar used will be 12.6 * x = 12.6x g

So the amount of sugar left in her canister will be 191-12.6x

Since on the xth day , the amount of sugar remaining is same, we can equate the amount of sugar remaining in both canisters. That would be;

128-8.4x =191-12.6x

Collect like terms;

12.6x-8.4x = 191-128

4.2x = 63

x = 63/4.2

x = 15 days

Answer:

Step-by-step explanation:

Sleep Deprivation

In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than were sleep-deprived participants.

(a) Identify the sample used in the study.

(b) What is the sample's population?

(c) Which part of the study represents the descriptive branch of statitics?

(d) Make an inference based on the results of the study?

Solution

A. The samples used is the hours of sleep and math test scores of the volunteers

B. The samples population is hours of sleep and math test scores of people in general

C. The part of the study that represent the descriptive branch of statistics is "three times more likely"

D.Inference: To perform well in a math test, a person should get at least 8 hours of sleep the night before.

The correct answer is D. 6

Explanation:

To know precisely how the number of restaurants in the city decreases over time, it is necessary to determine the 18% of the total of restaurants each year and to subtract this number. The process year per year is shown below:

First-year- 60 restaurants- Find the percentage by writing the known value and using cross multiplication

[tex]60 = 100[/tex] %

[tex]x = 18[/tex]%

[tex]x 100 = 60 x 18[/tex]

[tex]x = \frac{1080}{100}[/tex]

[tex]x = 10.8[/tex]   Number of restaurants that were closed

[tex]60-10.8 = 49.2[/tex] New total

Second-year - 49.2 restaurants- Repeat te process

[tex]x = \frac{49.2x 18}{100}[/tex] Shortened version of the equation. Total of restaurants, multiplied by percentage and divided into 100 (total percentage)

[tex]x = 8.8[/tex]

[tex]49.2 - 8.8 = 40.4[/tex] New total

Third-year- 40.4 restaurants

[tex]x = \frac{40.4 x 18}{100}[/tex]

[tex]x = 7.2[/tex]

[tex]40.4-7.2 = 33.2[/tex]  New total

Fourth-year- 33.2 restaurants

[tex]x = \frac{33.2x 18}{100}[/tex]

[tex]x = 6.3[/tex]

[tex]33.2- 6.3= 26.9[/tex] New total

Fifth-year- 26.9 restaurants

[tex]x = \frac{26.9 x 18}{100}[/tex]

[tex]x = 4.8[/tex]

[tex]26.9-4.8 = 22.1[/tex] New total

Sixth-year- 22.1 restaurants

[tex]x = \frac{22.1x 18}{100}[/tex]

[tex]x= 3.96[/tex]

[tex]22.1-3.9 = 18.1[/tex]

According to this at this rate, it will take at least 6 years for the number of restaurants to be below 20.

Answer:

D. 22.5

Step-by-step explanation:

By the property of intersecting tangent and secant outside of the circle, we have:

x° = 1/2[(4x+5)° - 50°]

2x° = [(4x+5)° - 50°]

2x° = (4x-45)°

2x = 4x - 45

45 = 4x - 2x

45 = 2x

x = 45/2

x = 22.5

The measure of the variable x will be 22.5°. Then the correct option is D.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

We know that half of the difference between the angle (4x + 5)° and 50° will be equal to x°. Then the equation will be

x = [4x + 5 - 50] / 2

Simplify the equation, then we have

2x = 4x - 45

2x = 45

x = 22.5°

The measure of the variable x will be 22.5°.

Then the correct option is D.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ5

Answer:

m = 6

Step-by-step explanation:

We know that m and n vary directly and that m = 3 when n = 2. How would we find m when n = 4? For starters, we can see that the value of n doubled (we know this because 2 doubled is 4), and since m and n vary directly, when n doubles, so does m so the answer is m = 3 * 2 = 6.

Answer:

- 1 -5 \sqrt(2) + 12i

Hoped I helped

Answer:

  y = (x -2)^2 +4

Step-by-step explanation:

Translation (right, up) by (h, k) gives you the function ...

  g(x) = f(x -h) +k

You want f(x) = x^2 to be translated right 2 and up 4, so it becomes ...

  y = (x -2)^2 +4

Answer:

90 degrees, 120 degrees and 150 degrees

Step-by-step explanation:

Given that three adjacent angles are at a point. The ratio of the measurements is 3:4:5. The angles should add to 360.

First add up all the ratio

3 + 4 + 5 = 12

For ratio 3

3/12 × 360 = 90 degree

For ratio 4

4/12 × 360 = 120 degree

For ratio 5

5/12 × 360 = 150 degree

90 + 120 + 150 = 360 degree.

The angles are therefore, 90 degrees, 120 degrees and 150 degrees

Answer:

g(-3) = 0.012

or

D

Step-by-step explanation:

Step 1: Write out function g(x)

g(x) = x⁻⁴

Step 2: Define variable from problem

x = -3

Step 3: Plug in variable

g(-3) = (-3)⁻⁴

g(-3) = 0.012346

g(-3) ≈ 0.012

Answer:

The answer is (e)

Step-by-step explanation:

You know that the total time for one practice is (10+15+10+20+x). You can simplify that by adding like terms to get (55+x). You need that amount multiplied by three because he has 3 practices a week. so therefore you get 3(55+x). You distribute that three to both terms to get the simplest form which is 165 + 3x.

Answer:

[tex]7.5632 *10^{4}[/tex]

Step-by-step explanation:The simplification

1+1×80+5-23+456×47+56784-2647

=1+80+5−23+(456)(47)+56784−2647

=81+5−23+(456)(47)+56784−2647

=86−23+(456)(47)+56784−2647

=63+(456)(47)+56784−2647

=63+21432+56784−2647

=21495+56784−2647

=78279−2647

=75632

Converting 75632 into standard form [tex]7.5632 *10^{4}[/tex]

Answer:

-13

Step-by-step explanation:

{(-4)² + (-2)(-5)} / -2

= {16 + 10} / -2

= 26 / -2

= -13

Answer: $16

Step-by-step explanation:

reduce by 20% means cutting from 100% and leftover with 80% of original

                                            100%-20%=80%

original price: $20×100%=$20

after reduction: $20×(100%-20%)=$16

Answer:

16

Step-by-step explanation:

First find the discount

20 * 20%

20 * .20

4

Subtract this from the price

20 -4

16

The new price is 16

Answer:

Step-by-step explanation:

Let the number of hours for running be x

And the number of hours for lifts be y

Let the total hours for work out be H

Given that

x= 30 min* 6= 180 min =3 hours

y= 20 min *6 =120 min=  2  hours

H= 30(6)+ 20(6)

H= 180+120

H= 3+2

H= 5 hours of work out for the  week

Answer:

Triangle inequality rule states that the sum of eachpair of sides must be greater than the third sides.

240 + 123 > 207 true

240 + 207 > 123 true

123 + 207 > 240 true

A = √(s(s-a)(s-b)(s-c))

s is the semi-perimeter (a + b + c)/2

s = (240 + 123 + 207)/2

s = 285

A = √(285*(285-249)(285-123)(285-207))

A = 12,730 units^2

Step-by-step explanation:

Answer:

solution set={35/3}

Step-by-step explanation:

--3(x+5)=50

3x+15=50

3x+15-15=50-15

3x=35

3x/3=35/3

x=35/3=11.66

solution set={35/3}

hope it will help ^_^

Answer:

  $10.50

Step-by-step explanation:

If 2 pounds cost $4.20, then each pound costs $2.10. Five pounds will cost ...

  $2.10 × 5 = $10.50

Answer:

30.59

is your answer ............

Answer:

P = 150 + 50t

Step-by-step explanation:

Rate per hour = $ 50

Rate for 't' hours = 50 * t = 50t

Initial fee = $ 150

P = Initial fee + rate for t hours

P = 150 + 50t

Answer:

0=150

1=200

2=250

3=300

P= 50t +150

Answer:

[tex] -ax - 20 = -14 [/tex] => [tex] x = -\frac{6}{a} [/tex]

[tex] 4 = \frac{6}{a}x + 5 [/tex] => [tex] x = -\frac{a}{6} [/tex]

[tex] 7 + 2ax = 13 [/tex] => [tex] x = \frac{3}{a} [/tex]

Step-by-step explanation:

[tex] -ax - 20 = -14 [/tex]

[tex] -ax - 20 + 20 = -14 + 20 [/tex]

[tex] -ax = 6 [/tex]

[tex] \frac{-ax}{-a} = \frac{6}{-a} [/tex]

[tex] x = -\frac{6}{a} [/tex]

[tex] 4 = \frac{6}{a}x + 5 [/tex]

[tex] 4 - 5 = \frac{6}{a}x + 5 - 5 [/tex]

[tex] - 1 = \frac{6}{a}x [/tex]

[tex] - 1*\frac{a}{6} = \frac{6}{a}x*\frac{a}{6} [/tex]

[tex] -\frac{a}{6} = x [/tex]

[tex] x = -\frac{a}{6} [/tex]

[tex] 7 + 2ax = 13 [/tex]

[tex] 7 + 2ax - 7 = 13 - 7 [/tex]

[tex] 2ax = 6 [/tex]

[tex] \frac{2ax}{2a} = \frac{6}{2a} [/tex]

[tex] x = \frac{3}{a} [/tex]

Answer:

4 inches

Step-by-step explanation:

on egde 2020

Answer:

i is an imaginary number because i = [tex]\sqrt{-1}[/tex] and you can never take a square root of a negative number.  Because i is equal to [tex]\sqrt{-1}[/tex] when you square it it just removes the square root sign and gives you -1

Step-by-step explanation:

Step-by-step explanation:

think of it as this: i is an imaginary number, so a negative in a square root will be negative. so if you take away the squareroot, it leave you with -1. a square root is ^2 so i^2 is practically the same as a square root.

If someone can explain better, please do

Answer:

it belongs to rational number......

Answer:

0.75

Step-by-step explanation:

the simplified equation is 2x=1.5 / 2= x=0.75

Answer:

subtract 2, and add 5 repeatedly

Step-by-step explanation:

49, 47, 52, 50, 55

subtract 2, and add 5 repeatedly

49-2=47

47+5=52

52-2=50

50+5=55

55-2=53

53+5=58

and so on........

The pattern between these numbers is first subtracting 2 and then adding 5.

To find a pattern between a given sequence of numbers observe the sequence carefully and try to think about different arithmetic operations that can be suited for.

According to the given question we have to find pattern between these numbers 49, 47, 52, 50, 55.

After observing this sequence of numbers we can understand than they are in the sequence pattern of subtracting 2 and adding 5.

Now,

49 - 2 = 47.

47 + 5 = 52.

52 - 2 = 50.

50 + 5 = 55.

learn more about pattern between numbers here :

https://brainly.com/question/5214716

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Answer:

domain is the x axis points and range is the y axis points

Step-by-step explanation:

just mark the points on x axis and y axis then put them from left to right or bottom to top but i think you have the right answer there

Answer:

A

Step-by-step explanation:

Hello, I assume that the quadratic function f has real coefficients, so this is something like, a, b and c being real numbers

[tex]f(x)=ax^2+bx+c[/tex]

If a complex number z is a zero of f ( meaning solution of f(x)=0) then

[tex]\overline z[/tex] which is the conjugate of z is a zero too, because

[tex]\text{if } f(z)=0=az^2+bz+c \text{ then}\\\\\overline {f(z)}=0=a\overline z ^2 +b \overline z + c\\\\\text{meaning } f(\overline z)=0[/tex]

Here, we know that [tex]\sqrt{7}+5i[/tex] is a solution, so

[tex]\overline {\sqrt{7}+5i}= \sqrt{7}-5i[/tex] is a solution too.

Thank you

Answer:

A : D

4 : 3

Step-by-step explanation:

We'll use the first letter of their names as the heading for the ratio.

The first line states:

A : B

2 : 1

The second line states:

B : C

1/3 : 1

The third line states:

C : D

2 : 1

We have three different ratios but we know that they are related to one another so we are going to combine them by equating the common ratio of the different ratios.

Let's look at the ratio with a fraction first.

B : C

1/3 : 1

If we ×3 throughout, this can also be written as:

B : C

1 : 3

Now B in the first and second ratio is the same number and we are able to combine them. We can write them all together like this:

A : B : C

2 : 1 : 3

In the third ratio, C is 2, however in the ratio we have now C is 3. We can make them the same number by ×3 throughout the third ratio and ×2 throughout the ratio we have now.

C : D

2 : 1

6 : 3

A : B : C

2 : 1 : 3

4 : 2 : 6

We can see that our ratio for C is the same number and we can now combine the ratios.

A : B : C : D

4 : 2 : 6 : 3

The question asked for A : D so we can take just the values of A and D.

A : D

4 : 3

I hope this helps :)

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

x-3. eq 1

x+1 eq 2

4x-2 eq 3

Add equation 1 ,2 ,3

[tex]\blue\star[/tex]x -3 + x +1 +4x-2 =0

[tex]\blue\star[/tex]6x - 4 = 0

[tex]\blue\star[/tex]x = 4/6

[tex]\blue\star[/tex]x = 2/3

Hope it helps

Hope it help

Answer:

The manager did not make a good suggestion.

Any values of x that are less than or equal to -20 will result in a non-negative output and will not meet the customer's needs.