14. Find three consecutive odd integers such that the product of the first and the third is 13 less
than ten times the second integer.

Answer: (x - y) + 5

Step-by-step explanation: Difference of two numbers means subtraction so we know its x - y. Then, we need five more so addition which means (x - y) + 5.

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Answer:

14

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The company's after-tax cash flow is a measure of the company's cash

generation ability.

Reasons:

The given parameter are;

Original cost of the equipment = $40 million

The type of depreciation = Straight line depreciation

Number of years of depreciation = 5 years

Current price at which it can be sold = $18 million

The tax rate of the firm = 35%

Required:

The after-tax cash flow from the sale of the equipment.

Solution:

The Cash Flow After Tax, CFAT, is given as follows;

CFAT = Net income + Amortization  + Depreciation  + Other non-Cash Cash Charges

The annual depreciation is given as follows;

[tex]Annual \ depreciation = \dfrac{\$40 \ million - \$18 \ million}{5 \ years} = \$4.4 \ million \ per \ year[/tex]

Selling the equipment gives;

The Earnings Before Tax (EBT) = $18 million

The Net Income = Income - Tax = $18 million - (35% × $18 million)

The Net Income = $11.7 million

Cash Flow After Tax CFAT = Net income + Depreciation

∴ CFAT = $11.7 million + $4.4 million = $16.1 million

Learn more here:

https://brainly.com/question/15057869

a. Parameterize C₁ by

[tex](x(t),y(t)) = (1-t)(-13,-7) + t(0,6) = (-13+13t,-7+13t)[/tex]

with 0 ≤ t ≤ 1. Then both dx = 13 dt and dy = 13 dt, so that the line integral along C₁ is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_0^1 (-7+13t)^2(13\, dt) + (-13+13t)(13\,dt)[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \int_0^1 (169t^2 - 169t + 36) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \left(\frac{169}3-\frac{169}2+36\right) = \boxed{\frac{611}6}[/tex]

b. Parameterize C₂ by

[tex](x(t),y(t)) = (36-t^2,t)[/tex]

with -7 ≤ t ≤ 6. Then dx = -2t dt and dy = dt, so the line integral is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 t^2(-2t\,dt) + (36-t^2)\,dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 (36-t^2-2t^3) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \left(36\cdot6-\frac{6^3}3-\frac{6^4}2\right) - \left(36\cdot(-7)-\frac{(-7)^3}3-\frac{(-7)^4}2\right) = \boxed{\frac{5005}6}[/tex]

a) x²+6x

b)5x²-x

c)12x²+15x

d)8x²-12xy

Answer: 6.087 tablespoons. or rounded to nearest whole, 6

Step-by-step explanation:

I just know

Answer:

A.

Step-by-step explanation:

All choices show the first original equation.

Each choice shows a different second equation.

Take the second original equation:

6x + 5y = 30

Multiply both sides by -5.

-30x - 25y = -150

Answer: A.

Answer:It takes 14 pints of blueberries to make 4 jars of blueberry jam.

Step-by-step explanation:

Answer:

x = about 2.705

Step-by-step explanation:

Does this help? Are you supposed to find x? That's what I did but you don't state what exactly you need.... So.....?

Answer:-4

-3

-2

Step-by-step explanation:

thx

Answer:

25

Step-by-step explanation:

We can set up an equation and solve for x (68% of x is 17)

68%*x=17       perform the inverse operation and divide both sides by 68%

dividing both sides by 68% will isolate the x variable

68%*x/68%= 17/68%      

x=17/68%

x=25

so, therefore,

68% of 25 is 17

Answer:

[tex]\displaystyle 11\frac{14}{25}[/tex]

Step-by-step explanation:

Whenever you take a percentage of something, you multiply. Turn 68% into a fraction and multiply by 17:

[tex]\displaystyle \frac{289}{25} = [\frac{17}{25}][17] \\ \\ \boxed{11\frac{14}{25}} = \frac{289}{25}[/tex]

I am joyous to assist you at any time.

Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option

A.  A comparison of two numbers

A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8

Learn more on ratios:

https://brainly.com/question/2328454

Answer:

$11,480

Step-by-step explanation:

Using a system of equations, it is found that 1530 more novels have been bought in total.

For the system, we have that:

The ratio of the number of novels to that of dictionaries is 2:3, hence:

[tex]\frac{x}{y} = \frac{2}{3}[/tex]

[tex]3x = 2y[/tex]

[tex]y = \frac{3x}{2}[/tex]

Total number of novels is 624, hence:

[tex]x = 624[/tex]

[tex]y = \frac{3}{2} \times 624 = 936[/tex]

Buys z more novels, and the ratio becomes [tex]\frac{7}{3}[/tex], hence:

[tex]\frac{624 + z}{923} = \frac{7}{3}[/tex]

[tex]1872 + 3z = 6461[/tex]

[tex]z = \frac{6461 - 1872}{3}[/tex]

[tex]z = 1530[/tex]

1530 more novels have been bought in total.

A similar problem is given at https://brainly.com/question/17096268

Answer:

x=8 is the answer. x-1=7 => x=7+1= 8

Answer:

6.6 x 10^9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes the answer is true.

A declarative statement is one that

That being said, it can make a statement that is testable. It is testable, it can be assigned a probability.

Using the margin of error, it is found that he must survey 601 adults in order to be 95% confidence that his estimate is within 4 percentage points of the true population percentage.

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]\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 z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

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

95% confident, hence:

[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

We have no estimate, hence, [tex]\pi = 0.5[/tex] is used.

Within 4%, hence, it is needed to find n for which M = 0.04.

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

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]

[tex]n = 600.25[/tex]

Rounding up, 601 adults must be sampled.

A similar problem is given at https://brainly.com/question/15133177

Answer:

     h(t) = 72 + 64·sin(2π(t -31.75)/127)

Step-by-step explanation:

The generic form will be ...

  h(t) = a +b·sin(c(t -d))

The value of 'a' is the midline of the height function, halfway between the minimum (8) and the maximum (136).

  a = (8 +136)/2 = 144/2 = 72

The value of 'b' is the amplitude of the height function, half the difference between the minimum and the maximum.

  b = (136 -8)/2 = 128/2 = 64

The value of 'c' is the frequency of the motion in radians per second. It will be ...

  c = 2π/(period in seconds) = 2π/127

The value of 'd' is the number of seconds from the minimum (8 ft) until the wheel first reaches the midline. It will be 1/4 of the revolution time:

  d = 127/4 = 31.75

Then our finished sinusoidal function is ...

     h(t) = 72 + 64·sin(2π(t -31.75)/127)

_____

Additional comment

If we were to use the cosine function instead, the equation could be simpler:

  h(t) = 72 -64·cos(2πt/127)

The cosine already starts at its maximum value, so height will be at a minimum if we use the negative of the cosine function.

Answer:

[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]

Step-by-step explanation:

You can find the first function if you know the general form of a line:

[tex]y = mx + b[/tex]

where [tex]m[/tex] is the slope and [tex]b[/tex] the intercept point with the [tex]y[/tex]-axis.

So in the first case the slope is 1 because the next formula

[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2-0}{-1+3} = 1[/tex]

And you can find the interception point if extend the line, then in our case is  3.

So the function is:

[tex]f(x) = x + 5[/tex]

In the other case is constant function that's mean that the function has the next form

[tex]f(x) = k[/tex]

Where [tex]k[/tex] is a constant.

So you only have to observe what is the value for each point in the interval, in this occasion is 5.

So the final answer is:

[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]

Answer:

72

please mark brainlest

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

7x9=63

63-22=41

41+31= 72

Hope this helps

Answer: All real numbers

Step-by-step explanation:

It depends on if the horizontal line goes on infinitely but I'd assume it does. It should be all real numbers.

Answer:

5200 AED or 1404 USD

Step-by-step explanation:

You have 5000 in your account. If your money grows 4% each year, it's basically like multiplying by 1.04.

5000 * 1.04 = 5200

If the question is asking in USD, the conversion rate from AED to USD is

AED * 0.27 = USD

We can substitute

5200 AED* 0.27 = 1404 USD.

Step-by-step explanation:

slope is y2-y1/x2-x1

-3-4=-7

-1-4=-5

now that you have -7/-5, or negative seven fifths, simplify.

you get -0.4, or -2/5 as your slope

Hope this helps!!

Answer:  [tex]\frac{tv^3}{u^8}\\\\\\[/tex]

This is the fraction tv^3 all over u^8

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

Work Shown:

[tex]\frac{t^2uv^7}{tu^9v^4}\\\\\\\frac{t^2}{t}*\frac{u}{u^9}*\frac{v^7}{v^4}\\\\\\t^{2-1}*u^{1-9}*v^{7-4}\\\\\\t^{1}*u^{-8}*v^{3}\\\\\\\frac{t}{1}*\frac{1}{u^8}*\frac{v^3}{1}\\\\\\\frac{t*1*v^3}{1*u^8*1}\\\\\\\frac{tv^3}{u^8}\\\\\\[/tex]

In the third step, I used the rule (a^b)/(a^c) = a^(b-c)

To make the negative exponent turn positive, we apply the reciprocal to the base.

Answer:

I will say %39.56 for 7 pairs because you'll have 7 pair of jeans so you don't have to buy more if some of your jeans rips or something happens so yeah.

Answer:

$39.55 for 7 pairs of jeans

Step-by-step explanation:

The LCM of 7 and 4 is 28, so I decided to use that as an example.

4×7=28

22.48×8=179.84

So if you wanted 28 jeans, you'd be paying $179.84

- - - - -

Now the first deal.

7×4=28

39.55×4=158.2

For 28 jeans, you'd be paying $158.20

For 28 jeans, the first choice offers a better deal than the other.

Mind you, I know the word problem isnt about 28 jeans. But since 28 was the LCM of 4 and 7, I decided to use it as an example

Answer:

B

Step-by-step explanation:

it is the opposite of A, which is true, as |-8| = 8