20,000$ deposit earning 3. 5% compounded monthly after 10 yr

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Finding the slope of f(x)

Given the table of the function f(x)

x        f(x)

-1        -5

0        -1

1          3

Finding the slope using the formula

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)\)

\(m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}\)

\(m=4\)

Thus, the slope of the function f(x) = 4

Finding the slope of g(x)

We know the slope-intercept form of a linear function is

\(y = mx+b\)

where m is the slope and b is the y-intercept

Given the function

\(g(x) = 2x-7\)

comparing with the slope-intercept form

y = mx+b

The slope of the function g(x) = 2

Thus, we conclude that:

Hence, the slope of f(x) is greater.

Part b)

Finding the y-intercept form of f(x)

We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.

From the table,

It is clear at x = 0, y = -1

Hence, the y-intercept of the function f(x) = -1

Finding the y-intercept form of g(x)

Given the function

\(g(x) = 2x - 7\)

comparing with the slope-intercept form (y = mx+b)

\(y = mx+b\)    

where b is the y-intercept

Hence, the y-intercept of g(x) = b = -7

Thus, we conclude that:

Hence, the y-intercept of f(x) is greater.

Answer:

15/9

Step-by-step explanation:

if it helps, x= 10

The value of c in the joint probability density function f(x, y) is determined by integrating the function over the entire domain, which results in c = 3/2.

The given joint probability density function is defined for -y ≤ x ≤ y and 0 < y < infinity. To find the constant c, we need to integrate the given function over the given range of x and y and set it equal to 1 (since it is a probability density function).

Integrating f(x,y) with respect to x from -y to y gives c(y^2 - x^2), which can be further integrated with respect to y from 0 to infinity to get 1 = c*(2/3). Thus, c = 3/2.

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Answer:

? is equal to 8

Step-by-step explanation:

16/20= 0.8

0.8x10= 8

8/10=0.8

OR YOU COUPLE DIVIDED 16 BY TO AND 20 BY 2

Answer:8/10

Step-by-step explanation:when you divide 16 by 20, you get 0.8. So turn 0.8 into a fraction with 10, you get 8/10. (I’m not that smart, mb if I get something wrong.)

Answer:

Mario cut 8 small rectangles.

Diameter is a straight line segment that passes through the center of a circle or a sphere, connecting two points on the circumference. It is the longest distance between any two points on the shape.

a. Theoretical dimensions of the riser are determined as follows: Given, dimensions of the casting = 3"x4"x7", n-1.9. Diameter of the riser is not given. Let us assume it to be "d". Given,

Height/diameter ratio of the riser = 2

Height of the riser = 2d

Volume of casting without riser = (3x4x7) = 84 cubic units.

Volume of riser = Volume of the cylindrical portion of casting from which it is derived (as they are not connected).

Let the height of the cylindrical portion from which the riser is derived be "h". We know that, h/d = 2 => h = 2d Therefore,

\(\q\pi/4 \cdot d^2 \cdot h\)

\(\\\qquad \pi/4 \cdot d^2 \cdot 2d\)

\(\\\qquad \pi/2 \cdot d^3\)

Volume of riser = Volume of cylindrical portion

Therefore, Total volume of casting with riser = Volume of casting without riser + Volume of riser

\(\q84 + \pi/2 \cdot d^3\)

\(\\ \qquad \pi/4 \cdot d^2 \cdot (8 + 2\pi)\)

Solving this equation, we get d = 2.12 inches (approx).

Therefore, Theoretical dimensions of the riser are 2.12 inches in diameter and 4.24 inches in height. b. If the riser and casting were actually connected, the location and size of the riser should be changed so that the riser feeds the casting properly. This means that the size of the riser should be large enough to provide molten metal to compensate for the shrinkage in the casting. c. The two reasons for having a riser are as follows: To avoid the shrinkage in the casting To allow the gases and impurities to escape during solidification.

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Answer:

The slope is 1/4

The y-intercept is 3

Step-by-step explanation:

Hopefully, this helps :)

y = x (slope) + b (y-intercept)

The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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Answer:

Step-by-step explanation:

Solving for x,

This way, we can conlcude that:

The overall observations in the study represent option (b) sample.

According to the report in US Today, the overall observations in the study represent a B) sample set of young people between the ages of 19-28 with at least two tattoos.

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The overall observations in the study represent D) population.

In the given scenario, the report provides information about the percentage of young people between the ages of 19-28 who have at least two tattoos. This data represents the characteristics or attributes of the entire population of young people within that age range.

The study aims to provide information about the entire population based on the reported percentage. Therefore, the overall observations in the study represent the population, as they are providing insights into the prevalence of tattoos among all young people aged 19-28, rather than being specific to a sample or randomly selected data.

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UCF students pay an average of 1,236 dollars for books. The standard deviation of costs of books is sigma = 101 dollars. Select 36 UCF students at random.

The probability is 0.025.

Explanation:

To find the probability that the mean cost of books for 36 UCF students exceeds 1,236 + 1.96(101/6), follow these steps:

1. Calculate the target mean:

1,236 + 1.96(101/6) = 1,236 + 32.99 ≈ 1,268.99.

2. Determine the standard deviation of the sample mean:

σ_sample = σ/√n = 101/√36 = 101/6 ≈ 16.83.

3. Calculate the z-score

: z = (target mean - population mean) / σ_sample =

(1,268.99 - 1,236) / 16.83 ≈ 1.96.

4. Use a standard normal table or a calculator to find the probability that the z-score is greater than 1.96.

This is 1 - P(Z ≤ 1.96) = 1 - 0.975 = 0.025.

So, the probability that the mean cost of books for 36 UCF students exceeds 1,236 + 1.96(101/6) is 0.025 or 2.5%.

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Answer:

10√2

Step-by-step explanation:

√200=√2*100=10√2

Ans.is 10√2

the topic is Surds in math

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can use this formula to find the equation of the line

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y - 11)/(23-11) = (x-1)/(3-1)

(y-11)/12 = (x-1)/2

y-11 = 6x-6

y = 6x + 5

the rate of change is the slope of the line, while the constant (5) is the y intercept

Solitary animals to herd animals are the type of change which is not seen in the horse population.

Solitary animal, an animal that does not live with others in its species. Solitary but social, a type of social organization in biology where individuals forage alone but share sleeping space.

Many animals naturally live and travel together in groups called herds. Goats, sheep, and llamas, for instance, live in herds as a form of protection. They move from one fertile grassland to another without an organized direction. Predators such as lions, wolves, and coyotes pose major risks to domestic herds.

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We used the given sector area formula, 28.25 = ∅/360 × π × 12², to find the central angle (∅) by rearranging the equation

First, we used the given sector area formula, 28.25 = ∅/360 × π × 12², to find the central angle (∅) by rearranging the equation and solving for ∅, which resulted in ∅ ≈ 22.5 degrees.

Next, we applied the arc length formula, L = ∅/360 × 2 × π × r, and plugged in the values we had, including the calculated ∅ and the given radius (12 feet).

Finally, we calculated the arc length (L) to be approximately 4.71 feet, which is the length of steel that must be replaced.

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Answer:

-7 is answer of it 31-38 i hope you like it please mark me brilliant

Answer:

Look at the photo and Goodluck

100% of the F2 generation plants are expected to be tall and produce round fruit.

The given information suggests that F1 and F1 represent heterozygous tall and round plants, respectively. When these two genotypes are crossed, we can predict the possible genotype and phenotype combinations of the offspring by using a Punnett square.

The Punnett square for this cross would be:

F1     F1

F2 F1F1 F1F1

F1F1 F1F1

From this square, we can see that all of the F2 generation plants will be homozygous for both tallness and roundness. This is because the F1 generation is heterozygous for both traits, so when they are crossed, the recessive alleles are masked by the dominant alleles.

Therefore, the genotype of all F2 plants will be F1F1, and they will all be tall and round.

In summary, 100% of the F2 generation plants are expected to be tall and produce round fruit.

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Answer:

The answer is C

Step-by-step explanation:

Well I took a lesson on volume before and volume and In math, volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object. Here, the blocks and books take up space.

The correct definition of volume is,

⇒ The amount of space a 3-dimensional object takes up.

Option C is true.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

To find the definition of volume.

We know that;

Volume is known as the space occupied within the boundaries of an object in 3D- space. It is also known as the capacity of the object.

Thus, The correct definition of volume is,

⇒ The amount of space a 3-dimensional object takes up.

Option C is true.

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The equation of the line of best fit is ŷ = 0.06x + 2.57

From the question, we have the following parameters that can be used in our computation:

Years Since 2000 0 1 2 3 4 5 6 7 8 9

Average Cost ($) 2.59 2.81 2.65 2.67 2.88 2.70 2.85 2.88 3.17 3.24

Next, we enter the above values in a graphing tool;

The calculation summary are as follows

The regression equation is represented as

ŷ = bx + a

Where

b = SP/SSX = 4.94/82.5 = 0.06

a = MY - bMX = 2.84 - (0.06*4.5) = 2.57

So, we have

ŷ = 0.06x + 2.57

Hence, the equation of the line of best fit is ŷ = 0.06x + 2.57

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Answer:

The area is 45 inches

Step-by-step explanation:

L×W=A

Answer:

-13/10

Step-by-step explanation:

It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

Answer:

slope = 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 31 ← is in slope- intercept form

with slope m = 1

Answer:

perimeter=4l then multiply with how many square are there

then area = l²

multiple with how many square are there

Answer:

Step-by-step explanation:          

\(49x^2-42x+(\frac{42}{2})^2=49x^2-42x+(\frac{42}{2} )^2\)    (completing the square)  

  \(49x^2-42x+441=49x^2-42x+21^2\)

                              \(=(7x-21)^2\)

So    \(49x^2-42x+441=(7x-21)^2\)

Solution: The required constant is 441.

Remember:    Completing the square IN \(ax^2+bx+c\) involves adding  \((\frac{b}{2} )^2\)     to both sides of the equation. THIS KEEPS IT BALANCED AND ALLOWS US TO MAKE A PERFECT SQUARE.    

Answer:

Step-by-step explanation:

Answer:

It is already in simplest radical form

Step-by-step explanation:

The distances between the two points are:

Herein we find two cases of two distinct points on a Cartesian plane and we must calculate the length of the line segment generated by each pair of points. This can be done by using Pythagorean theorem:

d = √[(Δx)² + (Δy)²]         (1)

Where:

Now we proceed to calculate the straight line distance between each pair of points:

Case 1

d = √[[3 - (-1)]² + (- 5 - 1)²]

d = 2√13

Case 2

d = √[(5 - 2)² + (- 4 - 4)²]

d = √73

The distances between the two points are:

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