Commission: 10 percent on first $5,000; 15% over $5,000. Find the total graduate commission on $22,000.

Answer:

47 degrees

Step-by-step explanation:

Answer:

B. 47 degrees

Step-by-step explanation:

/_wxy = 56

/_xyw = 68

/_xwy = 180 - (56 + 68) = 56

[interior angles of a triangle =180]

/_wzv = 77

/_vwz = 56

[/_xwy = /_ vwz]

/_zvw = 180 - (77 + 56) = 47

63 mod 17 = 12, the solutions are all integers congruent to 12 modulo 17, such as 12, 29, and -5.

The given equation is 2x = 7 (mod 17).

9 is an inverse of 2 modulo 17.

Multiplying both sides of the equation by 9, we get x = 9.7 (mod 17).

Since 63 mod 17 = 12, the solutions are all integers congruent to 12 modulo 17, such as 12, 29, and -5.

Correct order:

The given equation is 2x = 7 (mod 17).

9 is an inverse of 2 modulo 17.

Multiplying both sides of the equation by 9, we get x = 9.7 (mod 17).

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The required all three situation are explained to the detector.

a. The equation for the distance-time graph of the student's motion is:

distance = rate × time + initial distance

where rate is the speed at which the student is walking (2 feet per second), time is the elapsed time in seconds, and initial distance is the distance between the student and the motion detector at the start (15 feet). This can be written in slope-intercept form as:

distance = 2t + 15

where the slope is 2 (the rate of change of distance with respect to time) and the y-intercept is 15 (the initial distance from the motion detector).

b. In this situation, the slope of the equation (2) represents the speed at which the student is walking towards the motion detector. It tells us that for every one second that passes, the student moves 2 feet closer to the motion detector. In other words, the slope represents the rate of change of distance with respect to time.

c. The y-intercept of the equation (15) represents the initial distance between the student and the motion detector. It tells us that at the start of the motion detector recording, the student was 15 feet away from the detector. When time is 0 (at the start), the distance traveled is just the initial distance, which is the y-intercept.

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The total cost to repay a $500 loan with a 65% interest rate over 35 months is $526.50, including both the principal amount and accrued interest.

To calculate the total cost of repaying a loan with a given interest rate, we need to consider both the principal amount (loan amount) and the interest accrued over the repayment period.
In this case, the principal amount is $500, and the interest rate is 65%. The interest rate is usually expressed as an annual rate, so we need to convert it to a monthly rate by dividing it by 12 (assuming monthly compounding):
Monthly interest rate = 65% / 12 = 0.65 / 12 = 0.0542
To calculate the total cost, we need to determine the monthly payment and then multiply it by the number of months.
To calculate the monthly payment amount, we can use the formula for the monthly payment on a loan with fixed monthly payments:
Monthly Payment = (Principal + (Principal * Monthly interest rate)) / Number of months
Monthly Payment = ($500 + ($500 * 0.0542)) / 35
Monthly Payment = ($500 + $27.10) / 35
Monthly Payment = $527.10 / 35
Monthly Payment = $15.06 (rounded to the nearest cent)
Now, we can calculate the total cost by multiplying the monthly payment by the number of months:
Total Cost = Monthly Payment * Number of months
Total Cost = $15.06 * 35
Total Cost = $526.50
Therefore, the total cost to repay a $500 loan with a 65% interest rate for a term of 35 months would be $526.50.

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Answer: A, B, C, E,

The factors of expression is (6.2) × (3c) + (8)

Answer:

To add different quantities of liquids with different units of measurements, we need to convert them all to the same unit of measurement. In this case, let's convert everything to quarts since that is what we want the final answer to be in.

2 gallons = 8 quarts (since 1 gallon = 4 quarts)

5 quarts of pineapple juice = 5 quarts (no conversion needed)

4 pints of cranberry juice = 8 cups = 2 quarts (since 1 pint = 2 cups and 1 quart = 4 cups)

6 cups of apple juice = 1.5 quarts (since 1 cup = 0.25 quarts)

Now we can add up all the quantities:

2 + 5 + 2 + 1.5 = 10.5

Maya made 10.5 quarts of fruit punch in all

Answer:

Step-by-step explanation:

Answer:

31. 5v - 4

32. 9 + n

33. n - 1

34. c + 10

35. 2x

35². 24 - 6

36. 3s

37. 3x + 6

38. v / m + 18 (i think?)

39. x - ab

Step-by-step explanation:

hope this helps + is correct

Answer:

thats the answer ^^

Step-by-step explanation:

plz give me brainlyest i need it

Answer:

Option 1

Step-by-step explanation:

\(3 {x}^{2} - 18x + 5 = 47\)

\( = > 3 {x}^{2} - 18x + 5 - 47 = 0\)

\( = > 3 {x}^{2} - 18x - 42 = 0\)

\( = > 3( {x}^{2} - 6x - 14) = 0\)

\( = > {x}^{2} - 6x - 14 = 0\)

We know that

\(x = \frac{ - b + \sqrt{d} }{2a} \: or \: \frac{ - b - \sqrt{d} }{2a} \)

Where D = Discriminant of the eqn.

Discriminant of the above eqn.=

\( {b}^{2} - 4ac = {( - 6)}^{2} - 4 \times ( - 14) \times 1 = 92\)

So,

\(x = \frac{ - ( - 6) + \sqrt{92} }{2 \times 1} \: or \: \frac{ - ( - 6) - \sqrt{92} }{2 \times 1} \)

\( = > x = \frac{6 + 2 \sqrt{23} }{2} \: or \: \frac{6 - 2 \sqrt{23} }{2} \)

\( = > x = (3 + \sqrt{23} ) \: or \: (3 - \sqrt{23} )\)

side z has a value of 52.5.

What is an isosceles triangle ??

In geometry, an isosceles triangle is one with at least two equal-length sides. Both having exactly two sides of equal length and having at least two sides of equal length are valid requirements; the equilateral triangle is an exception to the second criteria. Isosceles triangles can be found in several Catalan solids, bipyramid faces, the golden triangle, the isosceles right triangle, and many other geometrical structures.

Given that the triangle's two sides are equal in this illustration, it is an isosceles triangle.

In the given ΔABC,

given ΔDFE ≅ ΔCFB

x= 45*2.5 = 112.5

z = 112.5-60= 52.5

Hence the value of side z is 52.5.

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Answer:

taking your points

Step-by-step explanation:

Answer:

930=9 hundreds 3 tens

93times10

80=8 tens

320= 3 hundreds 2 tens

8000=8 thousands

(a) By the technique shown in Examples 1 and 2:

To express the function f(x) = 1/4 + x as a geometric power series centered at 0, we can follow the technique shown in Examples 1 and 2, which involves finding a common ratio and using the formula for the sum of an infinite geometric series.

In this case, we can rewrite the function as:

f(x) = 1/4 + x

     = 1/4 + x(1)

Now, we can identify the common ratio, which is x. We can express the function as:

f(x) = 1/4 + x(1) = \(1/4 + x(1)^n\)

The formula for the sum of an infinite geometric series is:

S = a / (1 - r)

where S is the sum of the series, a is the first term, and r is the common ratio.

In our case, the first term is a = 1/4 and the common ratio is r = x.

Therefore, the geometric power series representation of f(x) is:

f(x) = \(1/4 + x + x^2 + x^3 + ...\)

(b) By long division (Give the first three terms):

To find the geometric power series representation of f(x) = 1/4 + x using long division, we divide 1 by 1 - x.

          1/4 + x

   -----------------

   1 - x | 1

We divide 1 by 1 - x as follows:

             1/4 + x

   ------------------

   1 - x | 1

         - (1 - x)        (subtracting)

   -------------

          x / (1 - x)     (dividing)

        \(- (x - x^2)\)

   -------------

             \(x^2 / (1 - x)\)

We can continue this process indefinitely, but let's stop at the third term:

f(x) = \(1/4 + x + x^2\)

Therefore, the geometric power series representation of f(x) using long division is:

f(x) =\(1/4 + x + x^2 + ...\) (infinite terms)

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A rational number is a number that can be represented by the division of 2 integers (no decimal parts)

So, the answer is yes.

-11/4 is a rational number.

Answer:

They have 763 baseball cards in total

Step-by-step explanation:

7×109=763

Answer:

They have 763 baseball cards in total (BRANILIST PLEASE!!!!)

Step-by-step explanation:

You just multiply the number of friends with the number of cards each person has.

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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According to a recent study of 125 students at Texas Woman's University, the average student spends 6.7 nights per month in an alcohol-related event, with a standard deviation of 3.4 nights.

The study sample consisted of 125 students, and the average number of nights spent in an alcohol-related event was found to be 6.7, with a standard deviation of 3.4. With this information, we can calculate the margin of error for the confidence interval using the formula:

margin of error = (critical value) × (standard deviation / sqrt(sample size)). For a 95% confidence level, the critical value is approximately 1.96. Plugging in the values, we get the margin of error as \(\((1.96) \times \frac{3.4}{\sqrt{125}} \approx 0.61\)\).

To determine the confidence interval, we take the average (6.7) and subtract the margin of error (0.61) to get the lower bound: 6.7 - 0.61 = 6.1 nights. Similarly, we add the margin of error to the average to get the upper bound: 6.7 + 0.61 = 7.3 nights. Therefore, we can accurately report to the parents of potential/incoming freshman that the typical student at Texas Woman's University spends between 6.1 and 7.3 nights per month in an alcoholic environment, with 95% confidence.

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The equivalent expression of the expression −y − 3(−3y+5) is 8y - 15

The expression is given as:

−y − 3(−3y+5)

Next, we open the bracket

−y − 3(−3y+5) = −y  + 9y - 15

Evaluate the like terms i.e. add -y and 9y

−y − 3(−3y+5) = 8y - 15

Hence, the equivalent expression of the expression −y − 3(−3y+5) is 8y - 15

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The probability that the next coin flip will yield a head is 50%, as each coin flip has an equal chance of landing either heads or tails.

Probability is an incredibly important concept to understand in our everyday lives. Understanding probability helps us make informed decisions about the chances of something happening. For example, when playing a game of chance, understanding probabilities can give us a better idea of the likelihood of winning or losing. Knowing the probability of an event happening can also help us make decisions in other areas of life, such as investing.

In the context of coin flipping, it is important to remember that the probability of a coin landing on heads or tails is always 50%. This means that no matter how many times the coin is flipped and no matter what the previous outcome, the probability of the next flip being heads or tails remains the same. This concept is the basis of probability theory, which can be applied to many other areas of life.

Understanding probabilities is also useful in understanding the chances of certain events occurring in the world. For example, understanding the probability of an earthquake happening in a certain area can help us make decisions about where to live or how to prepare for a potential disaster. Similarly, understanding the probability of a successful business venture can help us decide whether or not to invest in it.

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The equation that represent the relationship of the coffees is 3x + 5y = 68.

At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5.

The equation that represent the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totalled $68 is as follows:

where

Therefore, the equation is as follows:

3x + 5y = 68

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Answer: 32 kilograms

Step-by-step explanation:

Cross multiply and divide.

20/5

x/8

The answer should be 32.

The average speed of a pitched fastball, which was 93.4 miles per hour, is approximately 136.72 feet per second.

To convert the average speed of a pitched fastball from miles per hour to feet per second, we need to use the conversion factors:

1 mile = 5280 feet

1 hour = 3600 seconds

First, let's convert miles to feet. Multiply the given speed of 93.4 miles per hour by the conversion factor:

93.4 miles/hour * 5280 feet/mile = 492192 feet/hour

Next, we need to convert hours to seconds. Multiply the result by the conversion factor:

492192 feet/hour * 1 hour/3600 seconds = 136.72 feet/second

Therefore, the average speed of a pitched fastball, which was 93.4 miles per hour, is approximately 136.72 feet per second.

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Answer:

7

Step-by-step explanation:

35/5=7

Hope this helps!

Answer: We know that there is 35 games per season and is played throughout 5 months. If in each month the same number of games were played we would have to do 35/5 which is equal to 7. To check your work you can do 5 times 7 which is 35. Remeber opposite of division is multiplication and opposite of multiplication is division. SO, your answer is 7 football games per month.

Step-by-step explanation:

Hope this helps, if you are struggling with math you can use these sites:

khan academy

math nation

and many more free sites to learn math!

Answer:

Step-by-step explanation:

B

Answer:

One, a=11/3.

Step-by-step explanation:

6a-3a-6=2+3

3a-6=5

3a=5+6

3a=11

a=11/3

The triangles Δ MNO and ΔXYZ are congruent to each other by AAS postulate as two corresponding angles and a corresponding side are equal to each other.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given that YO = NZ.

Consider YO = NZ

Now Add OZ on both sides

YO + OZ = NZ + OZ

YZ = NO

Consider triangles Δ MNO and ΔXYZ.

M ≅ X

N ≅ Y

YO ≅ NZ

Δ MNO ≅ ΔXYZ by AAS postulate.

Therefore, the triangles Δ MNO and ΔXYZ are congruent to each other by AAS postulate as two corresponding angles and a corresponding side are equal to each other.

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Answer:

Step-by-Step

Step 1

Replace the variable 0 with 17π/6 in the expression

-csc (17π/6)

Step 2

Subtract full rotations 2π until the angle is greater than or equal to 0 and less than 2π

Step 3

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

-csc (π/6)

Step 4

The exact value of csc (π/6) is 2

Step 5

Multiply -1 • 2

−2

Step-by-step explanation:

this should be the correct answer!

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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