An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in aprofit of $50,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if theeconomy goes into recession, the investment will result in a loss of $50,000. You contact an economist who believes there is a 20%probability the economy will remain strong, a 60% probability the economy will grow at a moderate pace, and a 20% probability theeconomy will slip into recession. What is the expected profit from this investment?The expected profit is $(Type an integer or a decimal.)

The equation for an exponential function is y = ab^x, where 'a' is the initial value, and 'b' is the base that represents the growth or decay factor.

Using the first point (-2, 26), we get 26 = ab^(-2). Using the second point (-1, 18.2), we get 18.2 = ab^(-1). Using the third point (0, 12.74), we get 12.74 = a.
Now we can use the values of a to find b. Using the fourth point (1, 8.918), we get 8.918 = 12.74b. Solving for b, we get b = 0.6997 (rounded to four decimal places).
Finally, we can write the exponential equation as y = 12.74(0.6997)^x. This equation models the given data for x values ranging from -2 to 2. The exponential equation that models the given data is y = 12.74(0.6997)^x.  

We can determine the value of 'a' by looking at the table when x = 0. The given point is (0, 12.74), so y = 12.74 when x = 0. Therefore, a = 12.74. We can find the value of 'b' by using any other point from the table. Let's use the point (-1, 18.2). We can substitute the values of 'a', 'x', and 'y' into the equation: 18.2 = 12.74b^(-1). Solving for 'b', we get b ≈ 1.4283. We can write the exponential equation that models the data using the values of 'a' and 'b' that we have found: y = 12.74(1.4283)^x. This equation represents the given data in the table and can be used to find additional points for this exponential function.

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Step-by-step explanation:

V≈75.4

A≈100.53

Answer:

Play pes or fifa mobile or bgmi or see Jordaindians

The area of the base of the panter is approximately 28.5 square inches.

To find the area of the base of the panter, we need to know the dimensions of the base. Since the panter is shaped like a rectangular prism, we know that the base is a rectangle.

Let's use the formula for the volume of a rectangular prism to find the dimensions of the base:

Volume = Length x Width x Height

We know the height is 9.5 inches and the volume is 769.5 cubic inches. So we can rearrange the formula to solve for the area of the base:

Area of Base = Volume / (Length x Width)

Substituting in the values we know:

Area of Base = 769.5 / (Length x Width)

We need to find the values of Length and Width that satisfy this equation. We know that the base is a rectangle, so we can use the formula for the area of a rectangle to find another equation:

Area of Base = Length x Width

Substituting this equation into the previous one:

Area of Base = 769.5 / (Area of Base / Width)

Multiplying both sides by (Area of Base / Width):

Area of Base^2 = 769.5 x Width

Solving for Width:

Width = Area of Base^2 / 769.5

Now we can substitute this value back into the equation for the area of the base:

Area of Base = 769.5 / Width

Area of Base = 769.5 / (Area of Base^2 / 769.5)

Area of Base = 769.5 / (Area of Base^2 / 769.5)

Area of Base = 769.5 x 769.5 / Area of Base^2

Multiplying both sides by Area of Base^2:

Area of Base^3 = 769.5 x 769.5

Taking the cube root of both sides:

Area of Base = (769.5 x 769.5)^(1/3)

Area of Base = 28.5 inches^2 (rounded to one decimal place)

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Answer:

ok

Step-by-step explanation:

Answer:

use desmos and you'll find your answer

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

brainliest plz it would really help out

Answer: 114 5th graders

Step-by-step explanation:

400 total

187 3rd graders

99 4th graders

187 + 99 = 286

400 - 286 = 114

All the missing factors are,

⇒ 40 ÷ 1000 = 0.04

⇒ 0.07 × 10,000 = 700

⇒ 100 × 0.75 = 75

⇒ 24 ÷ 10 = 2.4

⇒ 160 ÷ 10,000 = 0.016

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Now, We can solve as;

⇒ 40 ÷ x = 0.04

⇒ 40 / x = 0.04

⇒ x = 40 / 0.04

⇒ x = 1,000

⇒ 0.07 ×  x = 700

⇒ x = 700 / 0.07

⇒ x = 10,000

⇒ x × 0.75 = 75

⇒ x = 75 / 0.75

⇒ x = 100

⇒ 24 ÷ x = 2.4

⇒ 24 / 2.4 = x

⇒ x = 10

⇒ 160 ÷ x = 0.016

⇒ 160 / 0.016 = x

⇒ x = 10,000

Thus, All the missing factors are,

⇒ 40 ÷ 1000 = 0.04

⇒ 0.07 × 10,000 = 700

⇒ 100 × 0.75 = 75

⇒ 24 ÷ 10 = 2.4

⇒ 160 ÷ 10,000 = 0.016

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Answer:

It Would be 14 units.

Step-by-step explanation:

Have a Great Day.

:)

Will accept Brainliest

Answer:

there is no graph but it's a positive graph and a few of the points would be (3,-5) (4,-1) (5,3) (6,7)

Step-by-step explanation:

By using standard deviation, it can be concluded that

The given estimate of standard deviation = 3 is not true

What is Standard Deviation?

At first, it is important to know about variance.

Variance is the sum of the square of deviation from mean divided by the total number of observations. Standard Deviation is the square root of variance.

Highest number = 40 and lowest number  = 22

Range = 40 - 22 =18

Standard deviation = \(18 \div 4\)

Standard deviation = 4.5

So the above statement is false

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The value of x from given quadrilateral ABCD is 27°.

In the given quadrilateral ABCD, ∠A=3x+5, ∠B=2x+15, ∠C=4x and ∠D=4x-10.

We know that, the sum of interior angles of quadrilateral is 360°.

Here, ∠A+∠B+∠C+∠D=360°

3x+5+2x+15+4x+4x-10=360°

13x+10=360°

13x=350°

x=350/13

x=26.9

x≈27°

Therefore, the value of x from given quadrilateral ABCD is 27°.

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Answer:

48

Step-by-step explanation:

is the answer

Answer:

3x+10=-5

3x=-15

x=-5

3x-12=9

3x=21

x=7

Answer:

1. \(x=-5\)

2. \(x=7\)

Step-by-step explanation:

First Equation

1. For the first equation, \(3x+10=-5\) we need to move all the constants to one side.

\(3x+10=-5\\3x=-15\)

2. Once that is done, we need to divide both sides by 3 to get \(x\) by itself.

\(3x=-15\\\frac{3x}{3}=\frac{-15}{3}\)

3. Now, we have our final answer.

\(x=-5\)

Second Equation

1. For the second equation, \(3x-12=9\) we need to move all the constants to one side.

\(3x-12=9\\3x=21\)

2. Once that is done, we need to divide both sides by 3 to get \(x\) by itself.

\(3x=21\\\frac{3x}{3} =\frac{21}{3}\)

3. Now, we have our final answer.

\(x=7\)

Hope this helped C:

The process capability index Cpk for the provided process ≈ 0.7687.

To calculate the process capability index Cpk, we need to use the following formula:

Cpk = min((USL - μ) / (3 * σ), (μ - LSL) / (3 * σ))

where USL is the upper specification limit, LSL is the lower specification limit, μ is the process mean, and σ is the process standard deviation.

USL = 11.61 cm (upper specification limit)

LSL = 9.87 cm (lower specification limit)

μ = 10.85 cm (process mean)

σ = 0.33 cm (process standard deviation)

Substituting these values into the formula, we can calculate Cpk:

Cpk = min((11.61 - 10.85) / (3 * 0.33), (10.85 - 9.87) / (3 * 0.33))

Cpk = min(0.76 / 0.99, 0.98 / 0.99)

Cpk = min(0.7687, 0.9899)

Cpk = 0.7687 (rounded to four decimal places)

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The volume of the triangular pyramid would be = 115.5mm³

To calculate the volume of the triangular pyramid given, the formula given below is used:

Volume = 1/3 B h

Where ;

h= 7mm

B = area of the base = 1/2 base×h

b = 9mm

h = 11mm

B = 1/2×9×11

= 4.5×11

= 49.5mm²

Volume of the triangular pyramid= 1/3×49.5×7

= 16.5×7

= 115.5mm³

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Answer:

4

Step-by-step explanation:

The computation is shown below:

Given that

There are total number of students i.e. 48

The ratio at present is 4:1

Now the computer needed to make the ratio be 3:1

So let us assume the number of students be 4x

And, the number of computers be x

So the 4x = 48

x = 12

So the computer be 12

Now the new ratio is 3:1

Students be 3x

And, computers be x

So

3x = 48

x = 16

Now the more computer needed is

= 16 - 12

= 4

hence, this is the answer but the same is not provided in the given options

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

The present total number of students = 48

Ratio of the number of students to the number of computers = 4: 1

(Number of students) / (Number of computers) = 4/1

48 /  (Number of computers) =  4/1

Number of computers = 48/4

Number of computers = 12

If the ratio of the number of students to the number of computers = 3:1

48 / (Number of computers) = 3/1

3(Number of computers) = 48

Number of computers = 48/3

Number of computers = 16

Additional number of computers = 16 - 12

Additional number of computers = 4

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

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Answer:

4x+12=0

Step-by-step explanation:

4x+8=20
4x+12=0

x+3=0

x+2=5

The probability of more heads than tails is 1/2 since the number of tails is divisible by 3.

A fair coin is one that has equal chances of being heads or tails when it is tossed. When a fair coin is tossed four times, the probability of getting more heads than tails is 1/2. This is because for each toss, the probability of getting a head or a tail is equal (1/2). This means that the probability of getting more heads than tails is the same as the probability of getting more tails than heads, which is 1/2.

Since the number of tails is divisible by 3, this means that in the four tosses, there must either be 0, 3, or 6 tails. Since there are no other possibilities, the probability of more heads than tails is 1/2 since it is equally likely to get more heads than tails or more tails than heads.

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Answer:

D

Step-by-step explanation:

Since we are given the slope, find the y-intercept using the formula for slope intercept form [ y = mx + b ].

y = -1/2x + b

-5 = -1/2(4) + b

-5 = -2 + b

-3 = b

Put everything we know into final form.

y = -1/2x - 3

Best of Luck!

Answer:

D. \(y = -1/2x - 3\)

Step-by-step explanation:

To solve this we must use the Point-Slope formula:

\(y-y1=m(x-x1)\)

Substitute:

\(y+5=-1/2(x-4)\)

Distribute:

\(y+5= -1/2x + 2\)

Subtract 5 from both sides:

\(y = -1/2x - 3\)

Hope this helped!

Answer:

D. A cold, dry air mass interacts with a warm, moist air mass.

Step-by-step explanation:

Tornadoes are very scary and kind of cool to look at. They have a great scientific reason behind them which we can easily understand.  First, a funnel cloud forms that reaches down to the ground (you probably have seen this in video as a cloud that is heavily densed and circling). Then , warm air rises, resulting in a decrease in air pressure and finally, a cold, dry air mass interacts with a warm, moist air mass.

Answer:C. I think please don't get mad if it's wrong

Step-by-step explanation:

Hope this helps!

Answer:

118°

Step-by-step explanation:

the angle measures of a triangle will always add up to 180

so..

42+20=62

180-62=118

Answer:

118

Step-by-step explanation:

We know,

Sum of all angles of triangle is 180 degree.

Let, the third angle be x,

or, 42 + 20 + x = 180

or, 62 + x = 180

or, x = 180 - 62 = 118

Therefore, the third angle is 118 degrees

Example of perfect square trinomial is: x² + 6x + 9 it is expressed as

(x + 3)²

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Example:

  x² + 6x + 9

= x² + 3x + 3x + 9

= (x +3) (x + 3)

= (x + 3)²

so, this is a perfect square trinomial.

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Answer:

1/3x +2/3 = y

Step-by-step explanation:

y= 3x-2

To find the inverse, exchange x and y

x = 3y-2

And solve for y

x+2 = 3y-2+2

x+2 = 3y

Divide by 3

1/3(x+2) = 1/3(3y)

1/3x +2/3 = y

Answer:

The lowest common factor that they have beside 1 and themselves is 3

Step-by-step explanation:

Counting to 20 in Spanish is a relatively straightforward process. The first step is to learn the numbers from 1 to 10, which are:

1 - uno

2 - dos

3 - tres

4 - cuatro

5 - cinco

6 - seis

7 - siete

8 - ocho

9 - nueve

10 - diez

Once you have these numbers memorized, it's easy to continue counting up to 20. Simply add the numbers from 11 to 19 to the base number, diez.

11 - once (diez + uno)

12 - doce (diez + dos)

13 - trece (diez + tres)

14 - catorce (diez + cuatro)

15 - quince (diez + cinco)

16 - dieciséis (diez + seis)

17 - diecisiete (diez + siete)

18 - dieciocho (diez + ocho)  

19 - diecinueve (diez + nueve)

20 - veinte

As you can see, the only exception is the number 15, which has its own unique word, "quince." Other than that, all of the numbers from 11 to 19 follow the same pattern of adding "diez" to the appropriate digit. And once you reach 20, you're done! It's important to note that Spanish has gendered nouns, so when counting objects, you will need to use the appropriate article and adjective to match the gender of the noun. For example, if you are counting "dogs," you would say "uno perro," but if you were counting "cats," you would say "una gata."

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Answer:

1  uno

2  dos

3  tres

4  cuatro

5 cinco

6 seis

7 siete

8 ocho

9 nueve

10 diez

11 once

12 doce

13 trece

14 catorce

15 quince

16 dieciséis

17 diecisiete

18 dieciocho

19 diecinueve

20 veinte

Step-by-step explanation:

Answer:

18 and 9 are the numbers

Answer:

1. 3<u<7

2. -2>d or d ≥ 2

3. -2.4 >s <5.2

4.  c >- 4 or c ⩽ -6 \(\frac{1}{2}\)

Step-by-step explanation:

Hope I am helpful!