HELP PLEASE CORRECTIONS DUE SOON ASAP GIVING 20 POINTS AND BRAINLY

Answer:

To calculate the fixed expenses each month, we need to add up all the monthly expenses:

Mortgage: $985.64

Cell phone: $58.30

Groceries: $154.00 x 2 = $308.00

Clothing (with 25% job-related): $180.00

Water & electric: $128.40

Weekly dinner & movie: $55.00 x 4 = $220.00

Total monthly fixed expenses: $1,880.34

To calculate how much could be saved per month, we need to first calculate the discretionary income:

Realized income: $2,943.20

Fixed expenses: $1,880.34

Discretionary income: $2,943.20 - $1,880.34 = $1,062.86

25% of discretionary income: 0.25 x $1,062.86 = $265.72

Therefore, the amount that could be saved per month by putting 25% of the discretionary income in a savings account is $265.72.

Answer: Let's start by calculating the probability that an 18-year-old driver is involved in an accident:

P(accident) = 124/2000 = 0.062

Let's assume that the insurance company pays the full cost of the accident, which is $15,000. Then the expected cost of covering one 18-year-old driver is:

Expected cost = P(accident) x Cost of accident = 0.062 x $15,000 = $930

If the insurance company wants to make a 20% profit on policies, they need to charge a premium that covers their expected cost plus their desired profit. The premium, denoted by P, can be calculated as follows:

P = (Expected cost + Desired profit) / (1 - Profit margin)

where Profit margin is the percentage of the premium that represents the profit. In this case, Profit margin is 20%, or 0.20.

Substituting the values we have calculated, we get:

P = ($930 + 0.20 x $930) / (1 - 0.20)

= $1,236.00

Therefore, the insurance company should charge 18-year-old drivers a premium of $1,236.00 to make a 20% profit on policies.

Step-by-step explanation:

Answer:

After 5 half-lives, the remaining mass of the radioactive isotope will be 155 * (1/2)^5 = 4.84375 grams. Rounded to the nearest gram, the answer is 5 grams.

Step-by-step explanation:

The name of the fifth student selected is Wahib, and the answer is (A) Wahib.

What is meant by selection?

Selection refers to the process of choosing or picking out something from a group or set of options based on specific criteria or requirements. It can involve evaluating and comparing different options and making a decision based on factors such as quality, suitability, relevance, or preference. Selection is a common process in various contexts, including recruitment, product design, and research.

According to the given information

To use the line of random numbers to select students, we can take the last two digits of each number and use them to select a student from the list. For example, if the random number is 02, we select Chandler because he is the second student on the list.

Using this method, the first 6 students selected are:

Chandler (02)

Cindy (03)

Heather (08)

Hsin-Chi (09)

Wahib (26)

Xavier (27)

To know more about selection visit

brainly.com/question/27990491

#SPJ1

In still air, the jet's speed is 1030 mph, while the wind's speed 240 miles per hour.

It is the rate of change of an object's position with regard to time and a frame of reference. Although it may appear difficult, velocity is essentially speeding in a particular direction. Due to the fact that it is a vector quantity, velocity must be defined in terms of both magnitude (speed) and direction. It has a metre per second SI unit (ms-1).

The distance travelled in relation to the time it took to travel that distance is how speed is defined. As speed simply has a direction and no magnitude, it is a scalar quantity.

Jet's velocity against wind is 2370/3=790 mile per hour and flying with wind it is 10160/8= 1270 miles per hour.

According to question,

Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.

As such its velocity against wind is x−y and with wind is x+y and therefore

x−y=790 and x+y=1270

Adding the two 2x= 2060 and x=1030

and y=240

Hence velocity of jet in still air is 1030 miles per hour and velocity of wind is 240 miles per hour.

To know more about velocity visit:

brainly.com/question/17127206

#SPJ1

Answer:

39/2 or 19.5

Step-by-step explanation:

To evaluate the expression 1/2x + 2y when x = 7 and y = 8, we can substitute the values of x and y into the expression and perform the necessary calculations.

Given:

x = 7

y = 8

Plugging these values into the expression, we get:

1/2(7) + 2(8)

Now, we can follow the order of operations (PEMDAS/BODMAS) to simplify the expression:

1/2(7) + 2(8)

= 1/2 * 7 + 2 * 8 (Multiplication has higher precedence than addition)

= 7/2 + 16 (Performing the multiplications)

= 7/2 + 32/2 (Finding the common denominator for addition)

= (7 + 32)/2 (Adding the numerators)

= 39/2 (Simplifying the fraction)

So, the value of the expression 1/2x + 2y when x = 7 and y = 8 is 39/2 or 19.5.

Therefore, the first quadratic function that goes through the points (5, 3) and (8, 0) is: y = (-3/28)x² + (33/14)x - (21/7). Therefore, the second quadratic function that goes through the points (5, 3) and (8, 0) is: y = 2x² - 27x + 78.

The graph of a quadratic function is a parabola, and its shape depends on the sign of the leading coefficient a. If a is positive, the parabola opens upwards, and if a is negative, the parabola opens downwards. Quadratic functions are commonly used to model various physical phenomena, such as motion of objects under the influence of gravity or acceleration.

Here,

To find the equation of a quadratic function in the form of y = ax² + bx + c that passes through two given points, we can substitute the coordinates of those points into the equation to get two equations, and then solve for the coefficients a, b, and c. Using the given points (5, 3) and (8, 0), we can write the following system of equations:

3 = a(5)² + b(5) + c

0 = a(8)² + b(8) + c

Simplifying these equations, we get:

25a + 5b + c = 3

64a + 8b + c = 0

Now we can solve for a, b, and c by using elimination or substitution method:

Multiplying the first equation by 8 and subtracting the second equation from it, we get:

200a + 40b + 8c = 24

-64a - 8b - c = 0

136a + 32b + 7c = 24

Next, multiplying the first equation by 64 and subtracting the second equation from it, we get:

1600a + 320b + 64c = 192

-64a - 8b - c = 0

1536a + 312b + 63c = 192

Now we have two equations with two variables:

136a + 32b + 7c = 24

1536a + 312b + 63c = 192

Solving this system, we get:

a = -3/28

b = 33/14

c = -21/7

Therefore, the first quadratic function that goes through the points (5, 3) and (8, 0) is:

y = (-3/28)x² + (33/14)x - (21/7)

To find a second quadratic function, we can simply use a different value for the leading coefficient a. For example, let's use a = 2:

3 = 25a + 5b + c

0 = 64a + 8b + c

Substituting a = 2 and simplifying, we get:

b = -27

c = 78

Therefore, the second quadratic function that goes through the points (5, 3) and (8, 0) is:

y = 2x² - 27x + 78

To know more about quadratic function,

https://brainly.com/question/18958913

#SPJ1

Thus, the solution of the given cosine function is obtained for the angles-  θ = 30º and θ = 330º between the intervals of [0,2pi).

The ratio of the triangle's side next to the angle to the hypotenuse is known as the cosine function. Thus, the cosine function does have a period of 2π, we can say.

Normally, radians rather than degrees are used when examining the cosine function in this manner. The common unit of measurement for angles in mathematics is the radian. 360° is equivalent to two radians, or one full circle.

Given data:

1-cosθ = (2-√3)/2

cosθ = 1-(2-√3)/2

isolating the cosθ function:

cosθ = 1-(1-[√3/2])

cosθ = 1-1+√3/2

cosθ = √3/2

Now,

cos is  √3/2 for ∏/6 = 30º and for 11∏/6 = 330º (Interval - [0,2pi))

Thus, the solution of the given cosine function is obtained for the angles-

θ = 30º and θ = 330º between the intervals of [0,2pi).

Know more about the cosine function

https://brainly.com/question/26993851

#SPJ1

Step-by-step explanation:

Simply divide   lessons   by days      

    69 lessons / 45 days = 1  8/15  =  1.53 lessons per day

Answer: The margin of error (ME) for a 90% confidence interval using a normal distribution with a known population standard deviation is given by:

ME = z* (σ/√n)

where z* is the z-score corresponding to the desired confidence level (in this case, 90% confidence), σ is the population standard deviation, and n is the sample size.

Using a z-score table or calculator, we find that the z-score corresponding to a 90% confidence level is 1.645.

Substituting the given values, we have:

ME = 1.645 * (40 / √100) = 6.58

Therefore, the margin of error for a 90% confidence interval for the mean score of all students on this test is 6.58. We can report the 90% confidence interval as:

180.23 ± 6.58 or (173.65, 186.81)

Step-by-step explanation:

Answer: n = 17

Step-by-step explanation: We can simplify 9 x 3^15 by first writing 9 as 3^2. Then we can use the rule that says when you multiply two numbers with the same base, you can add their exponents. So:

9 x 3^15 = 3^2 x 3^15 = 3^(2+15) = 3^17

Therefore, n = 17.

Answer:

560 is the answer hope the helps.

Step-by-step explanation:

Check the picture below.

Make sure your calculator is in Degree mode.

[tex]\tan(53^o )=\cfrac{\stackrel{opposite}{17}}{\underset{adjacent}{x}}\implies x=\cfrac{17}{\tan(53^o )}\implies x\approx 12.81~meters[/tex]

The y-intercept of the line, which is represented by the point (0,70) on the line of fit, indicates that a student who performs no studying is expected to receive a grade of 70%.

The angle of inclination of a linear or a segment of a line that connects two points is measured in mathematics as slope. Its definition is the ratio of the rise, which is the vertical difference between two points, to the run, which is the horizontally change between those same two sites. The letter "m" is frequently used to represent slope. Although a negative slope denotes a downhill incline, a positive slope denotes an upward incline.

given

The line of fit has a slope of 10. This means that a student's projected test grade rises by 10% for every additional hour they spend studying.

In other words, there is a positive linear relationship between a student's test score and the amount of time they spend studying.

The slope of the line measures the expectation that students who study more would perform higher on the test.

The y-intercept of the line, which is represented by the point (0,70) on the line of fit, indicates that a student who performs no studying is expected to receive a grade of 70%.

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ1

1.  The new volume will be 60 cubic feet. 2. Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

In general, volume refers to the amount of space occupied by an object or substance, measured in three dimensions: length, width, and height. It is a physical quantity that is typically expressed in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).

1. The volume of the cuboid is calculated as follows:

Volume = length x width x height

Volume = 5 ft x 3 ft x 2 ft

Volume = 30 cubic feet

If we double the height, the new height will be 2 x 2 ft = 4 ft. The new volume can be calculated as:

New Volume = length x width x new height

New Volume = 5 ft x 3 ft x 4 ft

New Volume = 60 cubic feet

Therefore, the new volume will be 60 cubic feet.

2. Step 1: Determine how many dog beds Molly can make with the fabric she bought.

Molly bought 12.5 yards of fabric, and she uses 2.5 yards of fabric for each dog bed. We can use division to find how many dog beds she can make:

12.5 yards / 2.5 yards per dog bed = 5 dog beds

Therefore, Molly can make 5 dog beds with the fabric she bought.

Step 2: Calculate the cost of the fabric for each dog bed.

Molly bought the fabric for $4.50 per yard, and she uses 2.5 yards of fabric for each dog bed. Therefore, the cost of the fabric for each dog bed is:

$4.50 per yard x 2.5 yards per dog bed = $11.25 per dog bed

Step 3: Calculate the revenue from selling one dog bed.

Molly sells each dog bed for $17.50.

Step 4: Calculate the profit from selling one dog bed.

Profit = revenue - cost

Profit = $17.50 - $11.25

Profit = $6.25

Step 5: Calculate the total revenue from selling all of the dog beds.

Molly can make 5 dog beds, and each dog bed sells for $17.50. Therefore, the total revenue is:

5 dog beds x $17.50 per dog bed = $87.50

Step 6: Calculate the total cost of the fabric for all of the dog beds.

Molly uses 2.5 yards of fabric for each dog bed, and she can make 5 dog beds. Therefore, the total cost of the fabric is:

2.5 yards per dog bed x 5 dog beds = 12.5 yards

$4.50 per yard x 12.5 yards = $56.25

Step 7: Calculate the total profit from selling all of the dog beds.

Profit = revenue - cost

Profit = $87.50 - $56.25

Profit = $31.25

Therefore, Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

To know more about profit visit:

https://brainly.com/question/19338486

#SPJ1

Answer:

Step-by-step explanation:

If P = 3x² - x + 2 and Q = x² + 5x - 6, then P+ Q =  3x² - x + 2 + x² + 5x - 6 =

4x^2 +4x - 4

D = 16 + 64 = 80

x12 = [tex]\frac{-4+-\sqrt{80} }{8}[/tex]

Answer: Dan

Step-by-step explanation: In Mrs. Barkley's class, only Dan followed the directions of using the ratio of 4 gems for every 3 flowers.

Dan:

4    20

3  = 15  You can use cross-products to check to see if they are equivalent.

3 x 20 = 4 x 15

60 = 60

Mary:

4       22

3    = 18

4 x 18 = 3 x 22

72 is not equal to 66

Nancy:

4       18

3    = 24

4 x 24 = 3 x 18

96 is not equal to 54

Jason:

4        26

3   =   20

4 x 20 = 3 x 26

80 is not equal to 78

For the given expression -  xº is greater than 0x as,  xº = 1 and 0x = 0.

The power or exponent of a number tells us how many times that number must be multiplied by itself in order to utilise it in a multiplication. Any integer, fraction, or decimal can serve as the basis in this situation. Moreover, the exponent might have either a positive or negative value.

According to the law, we must add the exponents to obtain the product of exponential statements that have the same base.

According to the law, we must subtract the exponents in order to divide two exponential expressions with the same base.

Given expression:

xº  = 1 (any number raised to power 0 is always 1)

0x = 0 (any value multiplied with 0 becomes 0).

Thus, xº is greater than 0x as,  xº = 1 and 0x = 0.

know more about the exponents:

https://brainly.com/question/11975096

#SPJ1

The inequality that matches the number line is given as follows:

2y + 3 ≥ -1

The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:

The inequality marked on the number line is given as follows:

y ≥ 2.

The equivalent inequality is the one with the same solution, hence:

2y + 3 ≥ -1

2y ≥ -4

y ≥ -4/2

y ≥ -2.

More can be learned about inequalities at brainly.com/question/25275758

#SPJ1

The probability that the hacker guesses the password on their first try is extremely low.

What is the probability that the hacker guesses the password on his first try?

There are 26 lowercase letters, 26 uppercase letters, and 10 numerical digits, for a total of 62 possible characters for each position in the password. Since the password is 9 characters long, there are [tex]62^{9}[/tex] possible passwords.

The probability that the hacker guesses the password on their first try is 1 out of the total number of possible passwords:

Probability = 1 / ([tex]62^{9}[/tex])

Using a calculator, this can be simplified to approximately 1.2 x [tex]10^{-16}[/tex]

Therefore, the probability that the hacker guesses the password on their first try is extremely low.

to know more about probability

brainly.com/question/30034780

#SPJ1

The volume of the composite figure that comprises two cuboids is calculated as: 150 ft³.

The volume of a cuboid is given by the formula:

V = l × w × h

where V is the volume, l is the length, w is the width, and h is the height of the cuboid.

The shape in number 16 comprises two cuboids. Find each and add together.

Volume of smaller cuboid = l × w × h = 5 × 3 × 2

= 30 ft³

Volume of larger cuboid = l × w × h = 10 × 6 × 2

= 120 ft³

The total volume = 150 ft³

Learn more about the volume of a cuboid on:

https://brainly.com/question/16671655

#SPJ1

The formula for calculating the balance of an account with continuous compounding is given by A = Pe^(rt), where A is the final amount, P is the initial principal balance, r is the annual interest rate (expressed as a decimal), t is the time in years, and e is the mathematical constant approximately equal to 2.71828.

In this case, the initial principal balance P is $3600, the annual interest rate r is 8% or 0.08 as a decimal, and the time t is 3 years. Plugging these values into the formula gives us:

A = 3600 * e^(0.08 * 3)

Evaluating this expression gives us a final amount of approximately $4293.25 in the account after three years.

The value of c in cubic and quadratic function is -6

When x = -1, the equation of the line becomes:

y = 3(-1) + 4 = 1

We can substitute this value of y into the equation of the curve:

1 = -2(-1)³ - 3(-1)² + 8(-1) + c

Simplifying and solving for c, we get:

1 = 2 - 3 + 8 + c

c = -6

Therefore, the value of c is -6.

Learn more on equation of the curve here;

https://brainly.com/question/31132469

#SPJ1

Putting the expression together in the format q(x) + r(x)/b(x): 9 + (55x + 56) / (4x² - 7x - 5)

First, we need to divide the first term of the numerator (36x²) by the first term of the denominator (4x²):

36x² / 4x² = 9

Now, multiply the entire denominator by 9 and subtract the result from the numerator:

(9  (4x² - 7x - 5)) = (36x² - 63x - 45)

4x² - 7x - 5 | 36x² - 8x + 11

- (36x² - 63x - 45)

_________________

55x + 56

Now, we cannot divide any further because the degree of the remaining expression (55x + 56) is less than the degree of the denominator (4x² - 7x - 5). So, the result of the long division is:

q(x) = 9

r(x) = 55x + 56

b(x) = 4x² - 7x - 5

Putting it all together in the format q(x) + r(x)/b(x):

9 + (55x + 56) / (4x² - 7x - 5)

The above answer is in reference to the question below;

Use long division to rewrite the following expression.

Write your answer in the format of q (x) + r(x)/b(x)

36x² - 8x + 11

4x²- 7x - 5

Find more exercises on expression;

https://brainly.com/question/28972856

#SPJ1

An equation of this line in slope-intercept form is equal to y = 2x + 7.

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 determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (7 + 1)/(0 + 4)

Slope (m) = 8/4

Slope (m) = 2

At data point (0, 7) and a slope of 2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 7 = 2(x - 0)  

y - 7 = 2x

y = 2x + 7

Read more on point-slope here: brainly.com/question/24907633

#SPJ1