cash received from long-term notes payable $ 67,000 purchase of investments 16,900 cash dividends paid 54,200 interest paid 27,100 compute cash flows from financing activities using the above company information. (amounts to be deducted should be indicated by a minus sign.)

Answer:

Step-by-step explanation:

We can solve each inequality apart and then see the possible solution sets.

Consider the inequality 4x+8 < -16. If we divide by 4 on both sides, we get

x+2 < -4. If we substract 2 on both sides we get x<-6. So the solution set for this inequality is the set of real numbers that are less than -6 (lie to the left of the point -6).

Consider 4x+8>4. If we divide by 4 on both sides we get x+2>1. If we substract 2 on both sides we get x>-1. So the solution set for this inequality is the set of real numbers that are bigger than -1 (lie to the right of the point -1).

So, for us to have 4x+8<-16 or 4x+8>4 we must have that either x <-6 or x>-1. So the solution set for the set of inequalities is the union of both sets, that is

\((\-infty, -6) \cup (-1,\infty)\)

Answer:

D

Step-by-step explanation:

So 5(2+7) equals 45

A. 2(5+7)=24

B. 2+7(5)=37

C. 5(2)+7=17

D.5(2)+5(7)=45

Only D equals 45

Hope I helped :D

Answer: (a) To find the absolute maximum miles per gallon, we need to find the maximum value of M(x). We can do this by finding the vertex of the parabola represented by M(x).

The x-coordinate of the vertex is given by:

x = -b / (2a)

where a = -0.015 and b = 1.32 in our case. Plugging in these values, we get:

x = -1.32 / (2(-0.015)) = 44

So the maximum miles per gallon occurs at a speed of 44 miles per hour.

To find the value of M(x) at this speed, we plug in x = 44:

M(44) = -0.015(44)^2 + 1.32(44) - 7.4 ≈ 32.36

Therefore, the absolute maximum miles per gallon is approximately 32.36, and it occurs at a speed of 44 miles per hour.

(b) To find the absolute minimum miles per gallon, we need to find the minimum value of M(x). We can do this by noting that the coefficient of the x^2 term is negative, which means that the parabola opens downward and has a maximum, so there is no absolute minimum.

We can also confirm this by finding the x-coordinate of the vertex, which we already calculated in part (a) to be x = 44. This means that the parabola has a minimum value of M(44), which we found to be approximately 32.36. However, this is not an absolute minimum, as there are values of M(x) that are smaller than 32.36 for other values of x. Therefore, there is no absolute minimum miles per gallon.

Step-by-step explanation:

The standard error tells us how much we can expect the sample proportion to vary from the true proportion in repeated samples of the same size. Option (d) correctly states that "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion." This means that if we were to take many samples of 100 students from the same school and calculate the proportion of students who bring a reusable water bottle from home in each sample, about 95% of the sample proportions would fall within +/-0.048 of the true proportion.

The correct option is (d) "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion."

The standard error of the sample proportion can be calculated using the formula:

SE = √[p*(1-p) / n]

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 37/100 = 0.37 and the sample size is 100. Plugging in these values, we get:

SE = sqrt[0.37*(1-0.37) / 100] = 0.048

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This question is incomplete , I am answering this question in general as per my knowledge.

No, because you gave T a Boolean when T expected a student as its first argument and a course as its second parameter. This will be less formal if.

The expected,

T(‘‘user2012813",‘‘discrete math")=true

However, the function F(x) and A both yield either true or false (y). Thus, you are attempting to assess

T(F(‘‘user2012813"),A(‘‘discrete math"))=T(true, false)= NULL

Only the first formulation makes sense, but after relations are established, these kinds of structures can be used.

Null functions as both a value and a pointer in computer programming. A built-in constant called null has a value of zero. It is the same as how strings in C are terminated with the letter 0.

Null is another possible value for a pointer, and unless the CPU supports a unique bit pattern for a null pointer, it has the same value as zero.

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Answer:

x = 6.2

Step-by-step explanation:

Let the unknown number be x

\((5 \times x) + 6 = 37 \\ 5x + 6 = 37 \\ collect \: like \: terms \\ 5x = 37 - 6 \\ 5x = 31 \\ divde \: both \: sides \: by \: 5 \\ x = \frac{31}{5} \\ x = 6.2\)

Answer:

I know 9-12.

9) a^2+8a-10

10) 15v+22w

11) 10c^2+4c

12) z^3-8z^2+5z+23

Step-by-step explanation:

Answer:

8. P=10X+16Y+14

9. a^2+8a-10

10. 15v+22w

11. 10c^2+4c

12. z^3-8z^2+5z+23

Step-by-step explanation:

8. P=2(l+w)

P=2((2x+7)+(3x+8y))

P=2(5x+8y+7)

P=10x+16y+14

9. 3a+a^2+5a-10 = a^2+8a-10

10. 8v+8w+7v+14w  =  15v+22w

11.  4c^2+6c+6c^2-2c  =  10c^2+4c

12. z^3+5z+15+8-8z^2  =  z^3-8z^2+5z+23

According to the information, the maximum infection rate is:  k * 2500 * (5000 - 2500) = 6250k = 40

To address this problem, we can use the law of the infection rate, which states that the infection rate is directly proportional to the product of the number of people infected and the number of people not infected. Therefore, we can write:

where "k" is a constant of proportionality. Since we want to find the number of people infected that produces the maximum infection rate, we can consider the infection rate as a function of the variable "x" representing the number of people infected. Therefore, we can write:

To find the value of "x" that maximizes the infection rate, we can derive this function and set the derivative equal to zero:

This implies that 5000 - 2x = 0, and therefore:

Therefore, the number of infected people that produces the maximum daily rate of infection is 2,500.

However, we must verify that this result is consistent with the information given in the problem. We know that when there are 1,000 people infected, the flu spreads at the rate of 40 new cases per day. Therefore, if we add 1,500 more infected people (for a total of 2,500), the infection rate would be:

If the infection rate is 40 new cases per day, we have:

which implies that:

Therefore, the maximum infection rate is:

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Answer:

100

Step-by-step explanation:

The center of the circle is (13, 2)

The radius of the circle is 9

To find the center and radius of the circle described by the equation:

(x + 13)² + (y + 2)² = 81

We can compare with the standard form of the equation of the circle which is

(x - h)² + (y - k)² = r²

it can be deduced that

-h = 13, h = -13

-k = 2, k = -2

r² = 81, r = 9

This is the equation for a circle with center at (13, 2) and radius 9. So the center of the circle is (13, 2) and the radius is 9.

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Answer:

Center = (-13,-2)
Radius = 9

Answer:

f(-1) = 3

Step-by-step explanation:

Notice that the first part of the piecewise function includes x=-1, so we need to evaluate f(-1) with the function f(x)=-2x+1:

f(-1) = -2(-1) + 1 = 2 + 1 = 3

Answer:

100 beads for $2.95

Step-by-step explanation:

This is because the unit cost per item if you buy 100 beads for $2.95 would be $0.03

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

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The line that passes through these two points is y=x-2

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here function whose graph contains the points (9, 7) and (4, −8)

Thus using the two point formula for a line we get the equation as

y-7=(x-9)

y=x-2

Hence, The line that passes through these two points is y=x-2

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Answer:

The equivalent multiplication expression is \(\frac{5}{8} \times \frac{3}{2}\)

Step-by-step explanation:

Division of fractions:

A division of fractions is the same as the multiplication of the numerator by the inverse of the denominator.

5/8 ÷ 2/3​

So numerator is 5/8, denominator is 2/3

\(\frac{\frac{5}{8}}{\frac{2}{3}} = \frac{5}{8} \times \frac{3}{2}\)

The equivalent multiplication expression is \(\frac{5}{8} \times \frac{3}{2}\)

Okay, here we have this:

Considering the provided inequality, we are going to solve it and graph the solution set, so we obtain the following:

3 ≤ 4x + 1 < 9

3 -1≤ 4x + 1 -1< 9-1

2 ≤ 4x < 8

2/4 ≤ 4x/4 < 8/4

1/2 ≤ x < 2

In interval notation the solution set will be: [1/2, 2)

And if we plot this solution interval we get:

Where the solution set will be the purple part.

Answer:

they are parallel because their slopes are equal

Answer:

They are parallel because their slopes are equal.

Step-by-step explanation:

Find the slope using the points indicated on each line

The slope of AB

m = rise/run = 6/8 = 3/4

The slope of CD

m = rise/run = 3/4

They are parallel because their slopes are equal.

Answer: The function is odd because f(–x) = –f(x).

Step-by-step explanation:

\(f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)\)

The function is odd because f(–x) = –f(x).

The function is given as:

f(x) = 6x^7

A function is odd if the following is true

f(-x) = -f(x)

Calculate f(-x)

f(-x) = 6(-x)^7

f(-x) = -6x^7

Calculate -f(x)

-f(x) = -6x^7

By comparison;

f(-x) = -f(x) = -6x^7

Hence, the function is odd because f(–x) = –f(x).

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Answer:

g is 37

Step-by-step explanation:

supplementary means two angles that add up to 180°

180-143=37

A more modern explanation would be, "Parallel lines are two lines within a given plane that never intersect."

Two lines on a sphere are an illustration that defies the notion of parallel lines. Meridians are the name given to longitude lines on spheres like the Earth.

Meridians are lines that run parallel to one another from the North Pole to the South Pole. However, if we take into account two meridian lines, they will cross at the North and South Poles. Two lines that are originally parallel will, therefore, eventually intersect at the poles on a sphere, defying the notion of parallel lines.

We can change the original definition of parallel lines to read, "Parallel lines are two lines that do not intersect within a given plane."

This adjustment accounts for the fact that lines can exist in many geometrical contexts, such as on a sphere or in three-dimensional space, where the idea of parallelism may be different. By including the phrase "within a given plane," we restrict the concept to the typical geometry seen in Euclidean geometry, where parallel lines do not meet.

A newer definition may therefore read, "Parallel lines are two lines within a given plane that never intersect." This updated definition makes clear that parallel lines must be taken into account inside a certain plane in order to maintain their validity, while also acknowledging the limitations of the idea.

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The exponential function will be equal to y = 20ˣ.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

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Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

Answer: They charge the same amount.

Step-by-step explanation:

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be the vehicle's speed befοre tο using the brakes was rοughly 352.7256 mph.

The speed (cοmmοnly referred tο as v) οf an οbject is the magnitude οf the change οf its pοsitiοn οver time οr the magnitude οf the change οf its pοsitiοn per unit οf time; it is thus a scalar quantity.

The average speed οf an οbject in an interval οf time is the distance travelled by the οbject divided by the duratiοn οf the interval the instantaneοus speed is the limit οf the average speed as the duratiοn οf the time interval apprοaches zerο. Speed is nοt the same as velοcity.

Here,

The 216-fοοt length οf the car's skid marks is all that is presented tο us. The speed οf the car befοre the brakes were applied can be calculated using the fοrmula s = 24d(1/2), where s is the speed οf the car in miles per hοur (mph) and d is the length οf the skid marks in feet.

When we replace the specified value οf d, we οbtain:

=> s = 24√(216)

=> s = 24(14.6969)

=> s = 352.7256

Thus, the vehicle's speed befοre tο using the brakes was rοughly 352.7256 mph.

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