Can someone please help me ASAP? It’s due tomorrow!! I will give brainliest if it’s all correct

Please do part a, b, and c

The solution is :

The sum of money deposited is approximately $22,021.74

Here, we have,

The given interest and amounts of the deposit are outlined as follows;

The simple interest per annum, R = 0.325%

The number of years the money is deposited, T = 4 years

The total amount received (Interest + Initial deposit), A = $50,650

We have;

I = P × R × T

Where;

P = The principal (initial amount deposited)

R = The (annual) interest rate = 0.325%

T = The time = 4 years

Therefore;

The total amount received, A = P + I

P + I = P + P × R × T = P × (1 + R × T)

∴ A = P + I = P × (1 + R × T)

P = A/(1 + R × T)

Plugging in the values, gives;

P = 50,650/(1 + 0.325 × 4) = 506,500/23 ≈ 22,021.74

The sum of money deposited, P = $22,021.74

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complete question:

A sum of money is deposited in a bank which offers a simple interest rate of 0.325% per annum. At

the end of the 4 years, the total amount receives is $50 650. Find the sum of money deposited.

Answer: The practical domain of a mathematical model represents the set of values for which the model is applicable or makes sense in the real world. In this case, the practical domain of the ball's height model h=-16t^2+64t is limited by the physical constraints of the situation.

Since the ball is kicked upward, the height of the ball cannot be negative. Therefore, the practical domain for the height model is restricted to values of t that result in non-negative heights.

We can find the values of t that correspond to when the ball is on the ground by setting h=0 and solving for t:

0 = -16t^2 + 64t

0 = t(-16t + 64)

t = 0 or t = 4

The ball is on the ground at the start of the motion (t=0) and again after 4 seconds. Therefore, the practical domain for the height model is 0 ≤ t ≤ 4, since the ball is in the air during this time and the height model is applicable.

In summary, the practical domain of the height model h=-16t^2+64t is 0 ≤ t ≤ 4.

The total surface area of all four walls is 2,400 square feet.  12 gallons of paint to cover the walls of the gym with two coats.

To calculate the number of gallons of paint required, we need to determine the total surface area of the walls that need to be painted and then divide by the coverage of one gallon of paint. Since each wall will receive two coats of paint, we need to double the surface area before dividing by the coverage of one gallon of paint.

The total surface area of the walls can be found by adding the area of all four walls:

The front and back walls each have an area of 50 feet (length) x 16 feet (height) = 800 square feet.

The two side walls each have an area of 25 feet (width) x 16 feet (height) = 400 square feet.

The total surface area of all four walls is 2 x (800 + 400) = 2,400 square feet.

To account for two coats of paint, we need to double the surface area to 4,800 square feet.

Finally, we divide the total surface area by the coverage of one gallon of paint, which is 400 square feet:

4,800 square feet ÷ 400 square feet/gallon = 12 gallons

Therefore, we need 12 gallons of paint to cover the walls of the gym with two coats.

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The b is in the plane spanned by a1 and a2 for h = ±1. For any other value of h, b is not in the plane spanned by a1 and a2.

To determine for what values of h is b in the plane spanned by a1 and a2.

We need to check if b can be written as a linear combination of a1 and a2.

If b can be written as a linear combination of a1 and a2 then it is in the plane spanned by a1 and a2.

Otherwise,

It is not in the plane.

We can write the equation for a plane using a point on the plane and the normal vector to the plane.

Since a1 and a2 are in the plane, we can find the normal vector by taking the cross product of a1 and a2:

n = a1 x a2

n = <0 -h 1> x <1 0 -h>

n = <-h -1 0>

So, the equation for the plane spanned by a1 and a2 is:

-h(x) - y = 0

We can substitute b = (h, -1, 3h) into this equation and see if it satisfies the equation.

-h(h) - (-1) = 0

-[tex]h^2[/tex] + 1 = 0

[tex]h^2[/tex] = 1

h = ±1

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The probability of her voice being fine at the next gig is 0.93 or approximately 93%.

The probability of the lead singer’s voice being fine on any given Saturday is 1 - 0.07 = 0.93, since the chance of her voice not working is 7%. This means that the probability of her voice being fine at each of the 19 gigs played so far this year is 0.93^19 = 0.281, as each gig is an independent event.

Now, the probability of her voice being fine at the next Saturday gig, which is 2 weeks from now, is also 0.93, since each gig is independent of the others. This is because the interval between bouts of illness is inherently unpredictable and the lead singer's voice has been fine at all the gigs played so far this year. Therefore, the probability of her voice being fine at the next gig is 0.93 or approximately 93%.

It is important to note that although the lead singer's voice has been fine at all the gigs played so far this year, this does not guarantee that her voice will be fine at the next gig. Each gig is an independent event and the probability of her voice being fine is the same for each gig. However, based on the information given, we can calculate that the probability of her voice being fine at the next gig is 0.93 or approximately 93%.

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Any point on the unit circle may be expressed as (cos, sin), which denotes the angle formed between the radius of the point and the positive x-axis.

In a right triangle, the sine of an angle is defined as the length of the side opposite the angle divided by the length of the hypotenuse, and the cosine of an angle is defined as the length of the adjacent side divided by the length of the hypotenuse.

By definition, the cosine of θ is x (the length of the adjacent side) divided by 1 (the length of the hypotenuse), or simply x/1, which is just x. Similarly, the sine of θ is y (the length of the opposite side) divided by 1 (the length of the hypotenuse), or simply y/1, which is just y.

So we have shown that, for any point (x, y) on the unit circle, the cosine of the angle θ between the positive x-axis and the radius to the point is equal to x, and the sine of θ is equal to y.

Therefore, we can write any point on the unit circle as (cosθ, sinθ), where θ is the angle between the positive x-axis and the radius of the point.

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The perimeter of the christian's sandbox is 22 ft.

Perimeter is the measure of the total distance around an object.

To calculate the perimeter of the christian's sandbox, we use the formula below

Formula:

Where:

Substitute these values into equation 1

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The term that refers to the fact that the distance between two or more points is equal is "equidistant".

In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.

Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.

The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.

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After three years with a monthly deposit of $250 and an APR of 8.4%, you will have approximately $10,093.46 towards the purchase of a boat.

To calculate the amount you will have towards the purchase of a boat after three years with an APR (Annual Percentage Rate) of 8.4% and monthly deposits of $250, we can use the formula for the future value of a series of regular deposits:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the deposits

P is the monthly deposit amount ($250)

r is the monthly interest rate (8.4% / 12 = 0.007)

n is the number of periods (3 years * 12 months = 36)

Let's calculate the future value:

FV = $250 * [(1 + 0.007)^36 - 1] / 0.007

FV ≈ $10,093.46

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Answer:

6x^2 + 3x

Step-by-step explanation:

Dividing (18x3+9x2)/(3x) gives

The implication (p â q) is a logical statement that consists of a pair of sentences, where p represents the antecedent and q represents the consequent.

These two sentences are connected by the a operator, which means "if...then." The implication is considered true if the antecedent is true and the consequent is also true, or if the antecedent is false. However, it is false only when the antecedent is true and the consequent is false. Therefore, the truth value of the implication depends on the truth value of its two component sentences.
True, the Implication (p → q) consists of a pair of sentences separated by the → operator. In this context, p and q represent two different sentences, and the → operator signifies that if p is true, then q must also be true. This is also known as a conditional statement.

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Correlation refers to the statistical relationship between two or more variables. A strong correlation means that there is a significant association between the variables, while a weak correlation suggests that there is little to no relationship between them.

Additionally, correlations can be either positive or negative. A positive correlation means that as one variable increases, so does the other, while a negative correlation means that as one variable increases, the other decreases.

To determine the strength and direction of a correlation, one can use a correlation coefficient. This measure ranges from -1 to +1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and +1 indicating a perfect positive correlation. When the correlation coefficient is close to -1 or +1, this suggests a strong correlation, while coefficients closer to 0 indicate a weaker correlation.

Overall, understanding the correlation between variables is essential for analyzing data and making informed decisions. By recognizing the strength and direction of a correlation, one can gain insights into the relationships between different variables and how they impact one another.

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Answer:

[tex]g(x)=\sqrt{x+6}+3[/tex]

Step-by-step explanation:

We are told that the graph of y = g(x) is a transformation of the graph y = f(x). To determine the transformation, compare the vertices of both curves.

The vertex of f(x) is (-4, -2).

The vertex of g(x) is (-6, 3).

Comparing the vertices of function f(x) and function g(x), we can see that function g(x) is a translation of function f(x):

When translating horizontally to the left, add the units to the x value of the function: f(x + a).

When translating vertically upwards, add the units to the function: f(x) + a.

Therefore, the equation for function g(x) is:

[tex]\begin{aligned}g(x) &= f(x+2)+5\\&=\sqrt{x+4+2}-2+5\\&=\sqrt{x+6}+3\end{aligned}[/tex]

The total number of tickets that Joe win at the park is 240 if the fraction of 3/ is used.

Given that,

Joe had been saving up all of his tickets from his day at the amusement park.

Let x be the total number of tickets he saved.

He used a fraction of  ⅗ of them on a stuffed bear for his sister.

x - (3/5 x) = 96

2/5 x = 96

Multiplying both sides by 5/2, we get,

x = 96 × 5/2

x = 240

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Answer: I put all of this together and it took a while but I think the answer is 45x to the power of 4  - 323x to the power of 2 - 69

Step-by-step explanation: I honestly don't know if this was what was being asked though, if not I'll include something else. I was really confuse by this... I'm sorry.

The speed of the car is 55 miles per hour.

To find the speed of the car, we need to divide the distance it covers by the time it takes:

speed of car = distance covered by car ÷ time taken by car

From the given information, we know that the car covers a distance of 440 miles in 8 hours, so we can substitute these values into the formula:

speed of car = 440 miles ÷ 8 hours

Simplifying the right-hand side, we get:

speed of car = 55 miles per hour

Therefore, the speed of the car is 55 miles per hour.

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Answer:

Domain: [1,3]

Range: [0.5,1.5]

Step-by-step explanation:

Domain: x-values

Range: y-values

Answer:  subtract the known angle from 180° and then divide by 2.Aug 17, 2020

Step-by-step explanation:

The vertex form of the quadratic equation is y = 4*(x - 3/2)^2 - 1

For a quadratic equation:

y = ax^2 + bx + c

The x-value of the vertex is:

h = -b/2a

And if the vertex is (h, k), we can write the vertex form as:

y = a*(x - h)^2 + k

Here we have.

y = 4x^2 - 12x + 8

The vertex is at:

h = 12/(2*4) = 12/8 = 3/2

Evaluating in that value, we will get:

k = 4*(3/2)^2 - 12*(3/2) + 8

k = 9 - 18 + 8 = -1

So the vertex is (3/2, -1), and the vertex form is:

y = 4*(x - 3/2)^2 - 1

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The major assumption in factor analysis (but not PCA) is that the observed variables are caused by a smaller number of underlying, unobserved (latent) variables, which are called factors.

Factor analysis and principal component analysis (PCA) are both techniques used for data reduction and dimensionality reduction. However, they differ in their assumptions and goals.

In factor analysis, the focus is on identifying the underlying latent variables (called factors) that explain the observed correlations among a set of variables. The major assumption in factor analysis is that the observed variables are caused by a smaller number of underlying factors. These factors cannot be directly measured, but are inferred from patterns of correlations among the observed variables. The goal of factor analysis is to extract these factors and to estimate how much each factor contributes to each observed variable.

In contrast, PCA is a technique that focuses on finding a linear combination of the original variables that explain the maximum amount of variance in the data. The major assumption in PCA is that the observed variables are not caused by any underlying factors, but are simply linearly related to each other. The goal of PCA is to find a set of orthogonal (uncorrelated) principal components that capture the maximum amount of variance in the data.

Therefore, the major assumption in factor analysis (but not PCA) is that there are underlying latent variables (factors) that cause the observed correlations among the variables.

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The number of t shirts she sell is 4 when her income is $205.

The given equation is I=100+12J+5T+7S+5H-8M

Where I is her income

J is the number of jeans she sell

T is the number of T shirts she sell

S is the number of shorts she sell

H is the number of hats she sell

M is the number of meals she buy

If emma makes $205 in a week by selling 6 number of jeans, 4 shorts, 5 hats and buy 5 meals

We have to find number of t shirts she sell

205 = 100+ 12(6)+5T+7(4)+5(5)-8(5)

205=100+72+5T+28+25-40

205=185+5T

205-185=5T

20=5T

4=T

Hence, the number of t shirts she sell is 4 when her income is $205.

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Answer:

A

Step-by-step explanation:

PLAto

The options provided, but it is closest to option C ($900). The Annualized Loss Expectancy (ALE) for each threat by multiplying the probability of occurrence by the cost of the loss. However, we are not given the probability of occurrence for each threat, so we cannot calculate the ALE.

Instead, we can use a simplified formula to estimate the amount of loss that the organization should expect for an entire year. This formula is:

Annual Loss = Single Loss Expectancy x Annual Frequency of Occurrence

To calculate the Single Loss Expectancy (SLE), we add up the ALE for each threat:

SLE = ALE threat 1 + ALE threat 2
SLE = $400 + $500
SLE = $900

The Annual Frequency of Occurrence is the number of times the loss is expected to occur in a year. We are not given this information, but we can make an assumption based on the available data.

Assuming that each threat has an equal chance of occurring, the Annual Frequency of Occurrence would be:

Annual Frequency of Occurrence = Total Threats / Total Time
Annual Frequency of Occurrence = 2 / 1 (assuming one year)
Annual Frequency of Occurrence = 2

Now we can calculate the Annual Loss:

Annual Loss = SLE x Annual Frequency of Occurrence
Annual Loss = $900 x 2
Annual Loss = $1800

Therefore, the amount of loss that the organization should estimate for an entire year is $1800. The correct answer is not given in the options provided, but it is closest to option C ($900).

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The percent probability that a person likes blue pens is approximately 18.75%.

In a survey of 400 people, an estimated 175 people would say they like pencils or black pens.

To find the percent probability that a person likes blue pens, we need to calculate the proportion of people who like blue pens out of the total number of people surveyed.

Given that the number of people who like blue pens is 75 and the total number of people surveyed is 400, we can calculate the percent probability as follows:

P(blue pens) = (Number of people who like blue pens / Total number of people surveyed) * 100

P(blue pens) = (75 / 400) * 100

P(blue pens) ≈ 18.75%

To estimate the number of people who would say they like pencils or black pens in a survey of 400 people, we need to add the number of people who like pencils and the number of people who like black pens.

Number of people who like pencils or black pens = Number of people who like pencils + Number of people who like black pens

Number of people who like pencils or black pens = 63 + 112

Number of people who like pencils or black pens = 175

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The size of the angle y as required to be determined in the task content is; 60°.

As evident in the task content, the base of the triangle is; 9.1 cm.

Recall the area of a right triangle is; A = bh / 2

Therefore, to determine the height h given an area of 23.66 cm²; we have that;

23.66 = 9.1h / 2

h = (2 × 23.66) / 9.1

h = 5.2 cm.

Ultimately, to determine the size of y from trigonometric ratios;

tan y = 9.1 / 5.2

y = tan-¹ (9.1/5.2)

y = 60° to the nearest integer.

Ultimately, the size of the angle y as required in the task content is; 60°.

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Answer:

(-2, ∞)

Step-by-step explanation:

The domain of a function is how far the x goes left and right.

We see the x starts at -2 and goes forever.

So, the Domain of the function is (-2, ∞)

Table 3 shows a relationship between x and y, where y is always equal to 8 less than the product of x and 3.

We are given that y is always equal to 8 less than the product of x and 3, which can be written as y = 3x - 8. We can create a table of values for x and y using this equation.

Table 1:

+x y

1 -5

2 -2

3 1

4 4

5 7

Table 2:

x y

1 -7

2 -4

3 -1

4 2

5 5

Table 3:

x y

1 -5

2 1

3 7

4 13

5 19

Checking each table, we can see that only Table 3 satisfies the condition that y is always equal to 8 less than the product of x and 3. Therefore, Table 3 shows the relationship between x and y as given in the question.

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Which table shows a relationship between x and y, where y is always equal to 8 less than the product of x and 3?

Let d represent Bill's riding distance.

Bill's effective rate when riding against the wind is 9 mph, so this is how long it will take him to travel d:

time against wind = d/9

Bill travels the same distance d in the following amount of time when riding against the wind since his effective pace is 15 mph:

wind time = d/15

The sum of these two times represents the entire amount of time Bill needs to complete his bicycle ride:

total = time with wind + time against wind

Total time = 9 + 15 days.

This phrase can be made simpler by locating a common denominator:

Total time equals (5 + 3 days) / 45.

time in total = (8d) / 45

Therefore, an equation representing the number of hours (h) it takes Bill to complete his bicycle ride is h = 8d/45.

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The carrying value of the machinery on December 31, 2024, is $34,285.71.

We have,

Depreciation expense per year = (Cost - Residual value) / Useful life

Where:

Cost = $110,000

Residual value = $10,000 (in 2021) and $6,000 (in 2024)

Useful life = 5 years (in 2021) and 7 years (in 2024)

Now,

We can calculate the depreciation expense for each year as follows:

Year 2021:

Depreciation expense = ($110,000 - $10,000) / 5 = $20,000

Year 2022:

Depreciation expense = ($110,000 - $10,000) / 5 = $20,000

Year 2023:

Depreciation expense = ($110,000 - $10,000) / 5 = $20,000

Year 2024:

Depreciation expense = ($110,000 - $6,000) / 7 = $15,714.29

To determine the carrying value of the machinery on December 31, 2024, we need to subtract the total depreciation expense from the cost of the machinery:

Carrying value on December 31, 2024.

= Cost - Total depreciation expense

= $110,000 - ($20,000 + $20,000 + $20,000 + $15,714.29)

= $34,285.71

Therefore,

The carrying value of the machinery on December 31, 2024, is $34,285.71.

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