An analyst notices that a CEO has consistently achieved 5% growth in profits from one year to the next. The CEO's company currently has annual profits of $646,150. If the trend continues, what will the annual profits be in 10 years?

The distance between zero and point P is 5 units.

To find the distance between two points on the number line, we must take the difference between the values ​​corresponding to those points.

The value of 0 is trivially 0.

The value of P is between -4 and -6, so we conclude that:

P = -5

Taking the difference between these values ​​we obtain:

distance = 0 - (-5)

distance = 0 + 5 = 5

The distance between those values ​​is 5 units.

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2x=84

/2   /2

x=42

hope it helps!

if not, sorry...

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

Step-by-step explanation:

It asks for the common set of A and B.

There only one element common to both the given sets:

Answer:

Step-by-step explanation:

∩ == this symbol stands for the common element/set

So according to this question you have to find the element which is common for both A and B sets.

So now you can see that only number 2 is common for both.

So, the answer is,

Answer:

Step-by-step explanation:

In order to determine the correct answer, we need to confirm it first by making the solution below:Costs: $89.95 = New Lamp $239.99 = Comforter 6 3/5% = Sales Tax (convert this to decimal and we get 6.6%)  $351.72 = Total amount the Chang's paidLet's get the total costs first which is $329.946.6% of 329.94 is $21.78The total cost with the tax would be $351.72.Therefore, the Chang's paid the correct amount. The correct answer would be option D. The Chang's family paid the correct amount for their purchases.

Answer: 69, 70, 71

x + x + 1 + x + 2 = 210

3x + 3 = 210

3x = 210 - 3

x = 207 / 3

x = 69

x + 1 = 70

x + 2 = 71

Answer:

p = 16

Step-by-step explanation:

Given that ∆FGH is similar to ∆DEF, it follows that the ratio of their corresponding side lengths would be equal. Therefore:

\( \frac{FH}{DF} = \frac{FG}{DE} \)

FH = 12

DF = p

FG = 24

DE = 32

Plug in the values

\( \frac{12}{p} = \frac{24}{32} \)

Cross multiply

\( 12*32 = 24*p \)

\( 384 = 24p \)

Divide both sides by 24

\( \frac{384}{24} = \frac{24p}{24} \)

\( 16 = p \)

p = 16

Answer:

\(-\frac{5}{3}\)

Step-by-step explanation:

The slope between two points can be found by taking the ratio of the change in y-coordinates to the difference in x-coordinates of the two points. This can also be represented by the formula: \(slope=\frac{rise}{run}\).

From left to right, we see that the second point decreases by 5 units from the first point, and is 3 units to the right of the first point.

Thus, slope of line joining the two points

\(=\frac{-5}{3}\)

\(=\bf{-\frac{5}{3} }\)

Note that the change in the y-coordinates is -5 since it is a decrease in the y-axis, and the line segment is sloping downwards.

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Answer:

number a should be half of 82 which is 41

for question b is two times 26 which is 52

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

22.75

Step-by-step explanation:

5.6 divided by 0.8=Constant Variation=7

3.25*7=22.75

The price of the 3.25 lb peaches is $22.75.

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 Bob paid $5.60 for 0.8 lb of fresh peaches. The price of the 3.25 lb peaches will be calculated as,

0.8 lb of peaches ⇒ $5.60

1 lb of peach ⇒ $5.60 / 0.8

3.25 lb of peaches ⇒ (3.25 x $5.60 ) / 0.8

3.25 lb of peaches ⇒ $22.75

Therefore, the price of the 3.25 lb peaches is $22.75.

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Applying the intersecting secants theorem, the length of segment KL is approximately, 45.8.

According to the intersecting secants theorem, if two lines from a point outside a circle intersect the circle, then the product of the length of one line segment and its portion outside the circle is equal to the product of the length of the other line segment and its portion outside the circle.

Using the theorem, we have:

MN * MO = ML * MK

Substitute:

21 * 48 = 22 * KL

1,008 = 22KL

1,008/22 = KL

KL = 45.8 (nearest tenth)

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Answer:

8h=p

Step-by-step explanation:

P is pay

H is hour

u make 8 dollars for an hour, so for h hours it would be 8h

Answer:

charged with providing of three types of clients

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

The inverse of the function is 1/64x², for x≥0

What is a function?

Al-Biruni and Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the first documented treatment of the concept of function. Initially, functions expressed the idealized interaction of two changing quantities. A planet's location, for instance, depends on time. In the past, the idea was developed with the infinitesimal calculus at the end of the 17th century, and the functions that were taken into consideration until the 19th century were differentiable (that is, they had a high degree of regularity). The realms of application of the idea of a function were substantially expanded at the conclusion of the 19th century when it was defined in terms of set theory.

The inverse of the function is given by option (D) 1/64x², for x≥0

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two over four is the probability that you will land on seven or eight

Answer:

P( landing an an 8 then on  a 7 ) = 1/ 16

Its is the branch of mathematics concerning numerical description of how likely an event is to occur .

P( landing an an 8 then on  a 7 ) = P ( landing on an 8) * P ( landing on a 7 )

P(Landing on an 8) = 1/4

P(Landing on an 7) = 1/4

P = 1/4 * 1/4

P= 1 / 16

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Answer:

4000000000000=4x10^12

Step-by-step explanation:

The first choice is the quotient.

Answer:

9.587 ; 22.83 ; 25 minutes

Step-by-step explanation:

Given that:

Arrival rate (λ) = 0.42 trucks/ min

Service rate (μ) = 0.46 trucks / min

Trucks arrive at the weigh station at a rate of 0.42 trucks/min, and the station can weigh, on the average, 0.46 trucks/min. Determine the following:

a. Average number of trucks waiting in the queue, Lq

Lq = λ² / μ(μ - λ)

Lq = 0.42² / 0.46(0.46 - 0.42)

Lq = 0.1764 / 0.0184

= 9.5869565

= 9.587

b. Average waiting time in the queue for each truck, Wq

Wq = λ / μ(μ - λ)

Wq = 0.42 / 0.46(0.46 - 0.42) = 22.83 minutes

c. Average time spent in the system by each truck, W

W = 1 / (μ - λ)

W = 1 / (0.46 - 0.42)

W = 1 / 0.04

W = 25 minutes

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer: 5980 square feet

Step-by-step explanation: We know that Richard can apply fertilizer to 4485 square feet = 3/4 hour. To solve this problem, one approach is to find 1/4 then multiply by 4 to get the whole 4/4 or 1 hour. So the solution would be: 4485/3=1495 Then multiply this by 4. 1495 multiplied by 4 is equal to 5980 square feet. So Richard can apply fertilizer to 5980 square feet in 1 hour. This is solved by an anonymous 10-year-old girl.

Answer:

670

Step-by-step explanation:

32 hours at 17  plus 14 hours at 9

32 *17 + 14 *9

544+126

670

Answer:

job 1 = 544 dollars he made job 2 = 126$

Step-by-step explanation:

You multiply the amount he made for 1 hour by the total hours same thing with job 2.

Answer:

I personally think it B.

Step-by-step explanation:

The equation of line H in fully simplified slope-intercept form is y = 15x + 10.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (40 - 10)/(2 - 0)

Slope (m) = 30/2

Slope (m) = 15.

At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 10 = 15(x - 0)

y = 15x + 10

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

I am a professional, worry not

-1.6 < -1.55 < -0.4 < 1.35 < 1.7

Answer:

Amadi: 20 years old

Chima : 4 years old

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Answer:

X=24

Step-by-step explanation:

X/12 + 6 = 8

we can multiply the equation to 12 to make it simple. We get:

X + 72 = 96

So X = 96-72=24

The error is in the second step, the replacement should be 64 = (±2)⁶, doing this, the solutions are ±2/w

Here we want to simplify the expression:

\(\sqrt[6]{\frac{64}{w^6} }\)

The first step is distributing the root, it is correct, we will get:

\(\sqrt[6]{\frac{64}{w^6} } =\frac{\sqrt[6]64}{\sqrt[6]w^6}\)

Now we can rewrite 64 = 2⁶

And here is the mistake, because it can also be written as (-2)⁶, so we are ignoring a solution.

Replacing that we will get:

\(\sqrt[6]{\frac{64}{w^6} } =\frac{\sqrt[6]64}{\sqrt[6]w^6} = \frac{\sqrt[6](\pm 2)^6}{\sqrt[6]w^6} = \pm 2/w\)

And that is the solution.

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