Please help! the question is in the attarchment!

Hence, The correct option D is the right  answer.

Given:

Loan amount, P = $1650

Total amount paid back, A = $1914

Time, t = 2 years

Interest rate, r = ?

To find: The interest rate

We know that,

Simple Interest,

S = A - P

Thus,S = 1914 - 1650 = 264

Using the formula for Simple Interest,

S.I. = (P × r × t) / 100264 = (1650 × r × 2) / 100264 = 33 × r

By solving this equation, we can find the value of r,

r = 264 / 33r = 8

Therefore, the interest rate is 8%.

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Answer:

25%

Step-by-step explanation:

We can round 89.99 to 90. 90/4=22.5, and 90-22.5 is 67.5.

Answer:

x-intercept: 8; the number of hours

y-intercept: 400; distance to be covered

Answer: The answer is valid, because you survey 100 people and 80 of them support building a new stadium.

Step-by-step explanation:

80% agree. 80/100 = 80%

It should be noted that it is possible to construct a matrix with linearly independent columns. This means that no one column can be represented as a linear combination of the other columns. In this case, the columns are said to span the space of the matrix.

It is also possible to construct a matrix with linearly independent rows. This means that no one row can be represented as a linear combination of the other rows.

In this case, the rows are said to span the space of the matrix. In general, the rows and columns of a matrix may or may not be linearly independent, depending on the specific matrix and the basis used to represent it.

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Mr. Drew needs woods of a total length of 32 feet to make the sides of the sandbox.

So,

Therefore, Mr. Drew needs woods of a total length of 32 feet to make the sides of the sandbox.

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Answer:

Which graphs show functions with direct variation? Select three options. A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4). A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5). A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6). A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8). A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line

Step-by-step explanation:

Answer:

To model -2/3 + (-1 1/6) on a number line, we first need to convert the mixed number (-1 1/6) into an improper fraction.

-1 1/6 = -7/6

Now we can add -2/3 and -7/6 by finding a common denominator. The smallest common multiple of 3 and 6 is 6, so we'll convert both fractions to have a denominator of 6.

-2/3 = -4/6

-7/6 = -7/6

Now we can add them:

-4/6 + (-7/6) = -11/6

So -2/3 + (-1 1/6) = -11/6.

To model this on a number line, we would start at zero and move to the left by 1 and 2/3 units (since -2/3 is less than 1 whole unit to the left of zero). Then, we would move an additional 1 and 1/6 units to the left (since -1 1/6 is one whole unit and 1/6 of another unit to the left of zero). This would bring us to the point represented by -11/6 on the number line.

Step-by-step explanation:

Answer:

(-5/6)

Step-by-step explanation:

Start by marking the point 0 on the number line.

To represent -2/3, you'll need to move 2/3 units to the left of 0, since this value is negative. One way to do this is to divide the space between 0 and -1 into three equal parts and move two of them to the left. This brings you to the point -2/3.

To represent (-1 1/6), you'll first need to represent -1, which is one unit to the left of 0. You'll then need to add 1/6 units to the left of -1. One way to do this is to divide the space between -1 and -2 into six equal parts and move one of them to the left. This brings you to the point (-1 1/6).

To find the sum of -2/3 and (-1 1/6), you'll need to add the distances we moved in steps 2 and 3. The total distance moved to the left is 2/3 + 1/6 = 5/6. Starting from 0, we move 5/6 units to the left to arrive at the final point, which is (-5/6).

Answer:

The answer is D.7

Step-by-step explanation:

Just look at the table :)

The response variable is the amount of tax, whereas the explanatory variable is whether the student believes global warming is a serious issue or not.

An explanatory variable is a variable that can influence another variable or cause changes in the response variable. It is the variable that is controlled or manipulated to study its effect on the dependent variable (response variable) and is an independent variable in statistical analysis. The response variable is a dependent variable or an output variable that changes based on the influence of other variables (explanatory variable).The researchers wanted to compare the mean response on gasoline taxes (the first question) for those who answer yes and for those who answer no to the second question. Therefore, the response variable is the amount of tax the student is willing to add to a gallon of gasoline. This response variable is an indication of how much students are willing to pay to mitigate global warming. On the other hand, the explanatory variable is whether the student believes that global warming is a serious issue or not. This variable will help determine if students' perception of global warming has any effect on their willingness to pay for mitigative measures.

In conclusion, the response variable in the given scenario is the amount of tax, while the explanatory variable is students' perception of global warming.

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The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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A Gantt chart has been created to visualize the timeline of the activities. The milestones are highlighted, and the chart includes the completion of the master's degree from March 2022 to July 2023, participation in online talk show classes from July 2022 to June 2024, and participation in social activities starting from July 2022.

A Gantt chart is a useful tool for visualizing project timelines and activities. In this case, the chart includes three activities: the completion of a master's degree, participating in online talk show classes, and participating in social activities. The timeline for the completion of the master's degree is indicated from March 2022 to July 2023, with no specific end date provided. The activity of participating in online talk show classes is scheduled to start in July 2022 and continue until June 2024. Again, no specific end date is mentioned. Lastly, the participation in social activities is set to begin in July 2022. The Gantt chart can be customized with different colors to make it visually appealing and suitable for presentation purposes.

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A partial fraction calculator is a tool used to decompose a rational function into simpler fractions, known as partial fractions.

A partial fraction calculator is a tool used to decompose a rational function into simpler fractions. It is commonly used in algebra and calculus to simplify complex expressions and solve equations. The partial fraction calculator takes a rational function as input and breaks it down into simpler fractions that can be more easily integrated or manipulated. This process involves finding the partial fraction decomposition of the rational function by factoring the denominator into linear and quadratic factors and then solving for the coefficients of the partial fractions. This calculator can be useful for students, engineers, and anyone working with complex algebraic expressions.

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If Jason starts building 5 feet out from the existing structure, and wants it to have a 60° angle, then the wall should be 10 feet long.

For given question,

Jason starts building 5 feet out from the existing structure, and wants it to have a 60°C angle.

The ground and the side of the play structure make a 90° angle.

So, the given triangle would be a - 30°- 60° - 90° - triangle.

The short side is 5 feet. The climbing wall will be the hypotenuse.

The angle opposite to the short side is 5 feet.

Now we need to find the hypotenuse.

Consider the sine of angle 30°

sin(30°) = 5/hypotenuse

1/2 = 5/hypotenuse

hypotenuse = 5 × 2

hypotenuse = 10

Therefore, if Jason starts building 5 feet out from the existing structure, and wants it to have a 60° angle, then the wall should be 10 feet long.

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the probability that at least flights are on time is

P(7) + P(8) + P(9) + P(10)

To calculate the probability that at least a certain number of flights are on time using the binomial distribution, we need the probability of success (p), the number of trials (n), and the desired number of successful trials.

Let's assume we have the following information:

Probability of a flight being on time: p = 0.8 (80%)

Number of flights: n = 10

To find the probability that at least a certain number of flights are on time, we need to sum the probabilities of the desired number of successful trials and all higher numbers of successful trials.

Let's say we want to find the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Using the binomial probability formula: P(x) = C(n, x) * p^x * (1-p)^(n-x)

where C(n, x) represents the number of combinations of n items taken x at a time.

Calculating the probabilities: P(7) = C(10, 7) * (0.8)^7 * (0.2)^(10-7) P(8) = C(10, 8) * (0.8)^8 * (0.2)^(10-8) P(9) = C(10, 9) * (0.8)^9 * (0.2)^(10-9) P(10) = C(10, 10) * (0.8)^10 * (0.2)^(10-10)

Finally, we sum up these probabilities to get the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Performing the calculations will give us the specific probabilities and the final probability.

Complete Question :- According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 24 flights are randomly selected and the number of​ on-time flights is recorded.

​(a) Explain why this is a binomial experiment.

​(b) Find and interpret the probability that exactly 14 flights are on time.

​(c) Find and interpret the probability that fewer than 14 flights are on time.

​(d) Find and interpret the probability that at least 14 flights are on time.

​(e) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.

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Answer:

\(11^{3}\)

Step-by-step explanation:

= 33

Answer: No, it is not likely that 60% of Skyline College students say math is their favorite subject based on the given confidence interval of (0.6358, 0.7532).

The confidence interval tells us that we are 95% confident that the true proportion of Skyline College students who say math is their favorite subject lies between 0.6358 and 0.7532. This means that if we were to take many random samples from the population of Skyline College students and construct 95% confidence intervals for the proportion of students who say math is their favorite subject, 95% of those intervals would contain the true population proportion.

Since 0.60 is not within the interval (0.6358, 0.7532), it is unlikely that the true proportion of Skyline College students who say math is their favorite subject is 60%. However, we cannot make any definitive statements about the population proportion based on this one confidence interval alone.

Step-by-step explanation:

To find the coefficients of the parabola that passes through the given points, we need to solve for a, b, and c using a system of equations.

First, let's substitute the coordinates of the points into the equation of the parabola:

y = ax²+ bx + c

When x=0, y=2:
2 =  a(0)²+ b(0) + c
2 = c

When x=1, y=8:
8 =  a(1)²+ b(1) + c
8 = a + b + c

When x=2, y=16:
16 = a(2)² + b(2) + c
16 = 4a + 2b + c

Now we have a system of three equations with three unknowns:

2 = c
8 = a + b + c
16 = 4a + 2b + c

Substituting c=2 into the second equation:

8 = a + b + 2
a + b = 6

Subtracting the second equation from the third equation:

16 - 8 = 4a + 2b + c - (a + b + c)
8 = 3a + b

Now we have two equations with two unknowns:

a + b = 6
3a + b = 8

Solving this system of equations gives us:

a = 3
b = 1
c = 2

Therefore, the correct answer is A: a=3, b=1, c=2.

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Answer:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the initial balance

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

We know that P = $3500, A = $4390.40, r = unknown, n = 1 (compounded annually), and t = 2. Plugging in these values and solving for r:

$4390.40 = $3500(1 + r/1)^(1*2)

$4390.40/$3500 = (1 + r)^2

1.2544 = (1 + r)^2

√1.2544 = 1 + r

1.12 = 1 + r

r = 0.12 or 12%

Therefore, the annual interest rate is 12%.

Answer:

The first step is adding two to both sides to further isolate the variable.

Step-by-step explanation:

You want m/5=10 so you can multiply 5 on both sides and find what m equals which is 50 in this instance.

Answer:

Step-by-step explanation:

m/5 -2=8 I would first add 2 to both sides

m/5=10 Then multiply both sides by 5 to clear out the fraction.

m=50

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

The minimal total length of fencing required for the project is 100√6 feet.

To find the minimal total length of fencing required for Farmer Ann's rectangular fence, we need to consider the dimensions of the fence.

Let's assume the length of the rectangle is L and the width is W. Since there is an internal divider, we can divide the rectangle into two equal halves, each with dimensions L/2 and W.

The total area of the fence is given as 600 square feet, so we have the equation:

(L/2) * W = 600

To minimize the total length of fencing, we need to find the dimensions that satisfy the above equation while minimizing the perimeter.

To do that, we can express one variable in terms of the other. Solving the equation for W, we get:

W = (600 * 2) / L

Now we can express the perimeter P in terms of L:

P = L + 2W = L + 2((600 * 2) / L)

To find the minimum perimeter, we need to find the critical points by taking the derivative of P with respect to L and setting it equal to zero:

dP/dL = 1 - 2(1200 / L^2) = 0

Solving for L, we get L = sqrt(2400) = 40√6.

Now we can substitute this value of L back into the equation for W:

W = (600 * 2) / (40√6) = 30√6.

Finally, we can calculate the minimal total length of fencing by adding the lengths of all sides:

Total length = L + 2W = 40√6 + 2(30√6) = 40√6 + 60√6 = 100√6.

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Given:

The objective is to find the line of reflection at which the triangle carries onto itself.

Explanation:

To obtain the reflection of the rectangle on itself, it must reflect over the midpoint of each parallel side of the rectangle.

The line passing through the midpoint of the rectangle in the x-axis is x= 2.

Similarly, the line passing through the midpoint of the rectangle in the y-axis is y = 1/2.

Thus, the reflecting lines are x = 2 and y = 1/2.

Hence, option (A) is the correct answer.

Answer:

y = 2 x − 1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

We can find the slope from the slope equation

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

   = ( 1- -3)/(1 - -1)

   = (1+3)/(1+1)

   = 4/2

  =2

To find the polar coordinates (r, θ) corresponding to the Cartesian coordinates (-6, 6), we can use the following formulas:

r = √(x² + y²)

θ = arctan(y / x)

(a) For the given point (-6, 6):

x = -6

y = 6

First, let's find the value of r:

r = √((-6)² + 6²) = √(36 + 36) = √72 = 6√2

Next, let's find the value of θ:

θ = arctan(6 / -6) = arctan(-1) = -π/4 (since the point lies in the third quadrant)

Therefore, the polar coordinates of the point (-6, 6) are (6√2, -π/4).

(b) For r > 0 and 0 ≤ θ < 2:

In this case, the polar coordinates will remain the same: (6√2, -π/4).

(c) For r < 0 and 0 ≤ θ < 2:

Since r cannot be negative in polar coordinates, there are no valid polar coordinates for r < 0 and 0 ≤ θ < 2.

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Answer:

i

Step-by-step explanation:

(-5+4i)-(-5+3i)

-5+4i+5-3i

-5+5+4i-3i

0+i

i

Answer:

\(→( - 5 + 4i) - ( - 5 + 3i) \\ = - 5 + 4i + 5 - 3i \\ = - 5 + 5 + 4i - 3i \\ = 0 + i \\ = \boxed i✓\)

Answer:

  91 bpm

Step-by-step explanation:

  (70 bpm)(1 +30%) = 70·1.30 bpm = 91 bpm

Anna's pulse rate is 91 bpm.

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

Answer:

4a^2

Step-by-step explanation:

GCF of 12 and 32 is 4.

GCF of a^3 and a^2 is a^2.

Therefore, the answer is 4a^2.