The value of Maggie's car decreased by 15% since last year, when she bought it. If the car is now worth $13,000.00, how much was the car worth when she bought it?
A.
$14,950.00
B.
$15,294.12
C.
$16,250.00
D.
$14,444.44

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Answer:

3.38

Step-by-step explanation:

first do the multiplication

2×0.81

= 1.62

then the subtraction

5- 1.62= 3.38

The given situation can be written algebricaly as follow:

4800 - 400m > 2000

4800 is the initial value of the check acount, for the month m, the value of the account is decreased in 400m, and it is necessary that the money remains above 2000.

Solve the previous inequality for m, just as follow:

4800 - 400m > 2000 subtract 4800 both sides

-400m > 2000 - 4800

-400m > -2800 divide by -400 both sides

m < (-2800)/(-400) the sense of the inequality change by the division by -

m < 7

Hence, the account balance remains above 2000 for a time lower than 7 months

Answer:

square root of -25 would be 5 multiplied by the imaginary unit i.

Answer:

3/2

Step-by-step explanation:

The figure with 2 lines and 2 rays is drawn and labeled and can be seen in the attached picture.

In the question, we are asked to draw and label a figure that has at least 2 lines and 2 rays.

First, we need to note three things:

Now, we are asked to make a figure with 2 lines (that is, two endless collections of points) and 2 rays (that is, a part of the line with a fixed start point, but no end point).

This can be shown in the attached figure.

In the figure, AB and CD are the two lines, and PQ and XY are the two rays.

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If initial sample of 458 grams of a radioactive substance decays according to the function \(A(t)=458e^{-0.038t}\) then the half-life of the substance is 0.

Half-life is the time required for a quantity (of substance) to reduce to half of its initial value.

Given,

An initial sample of 458 grams of a radioactive substance decays according to the function

\(A(t)=458e^{-0.038t}\)

We need to find the half life

\(458=458e^{-0.038t}\)

Divide both sides by 458

\(1=e^{-0.038t}\)

Take log on both sides

\(log1=-0.038t\)

0=-0.038t

t=0

Hence, the half-life of the substance is 0.

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a) \(IP=0.2437.\)

b) \(IP=0.0009.\)

c) \(IP= 0.5126.\)

d) \(IP=0.9982.\)

x= 81

u= 76

s= 7.2

\(Z=\frac{(81)-(76)}{7.2}=0.6944\)

(Check the attached images) Using the function "NORM.S.DIST" on Microsoft Excel we get:

IP(S>81)= 0.2437.

Now, we need to calculate the Z value with the following formula, because we are nor working with a sample (the 20 students):

\(Z=\frac{x-u}{(\frac{s}{\sqrt{n} } )}\)

"n" is the sample size, and it equals 20 for this case.

\(Z=\frac{81-76}{(\frac{7.2}{\sqrt{20} } )}=3.1056\)

\(IP(x > 81,n=20)=0.0009\)

The answer to this problem is given by:

IP= (Probability of a student scoring 81 or less)-(Probability of a student scoring 71 or less)

     1. For the probability of a student scoring 81 or less:

     \(Z=\frac{81-76}{7.2} =0.6944\)    

     \(IP(Z < 0.6944)=0.7563\)

     2. For the probability of a student scoring 81 or less:

     \(Z=\frac{71-76}{7.2} =-0.6944\)    

     \(IP(Z < -0.6944)=0.2437\)

IP=0.7563-0.2437= 0.5126.

\(Z_{1} (x < 71,n=20)=-3.1056\\ \\Z_{2} (x < 81,n=20)=3.1056\\ \\IP(Z < 3.1056)=0.9991\\ \\IP(Z < -3.1056)=0.0009\\ \\IP(Z_{1} < Z < Z_{2} )=0.9991-0.0009=0.9982\)

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Answer:

128

Step-by-step explanation:

(2³) (140/7)-32 =128

Answer:

128

Step-by-step explanation:

[2³ ×(140 ÷ 7)] - 32

[2³ ×( 20)] - 32

[8×(20)] - 32

[160] - 32

128

Answer:

B a number line is shown from negative 5 to 0 to positive 5.

Answer:

19

Step-by-step explanation:

My teacher explained it to me.

Answer:

19

Step-by-step explanation:

6 +39 :3

6 +13

19

Answer:

y = 1.25 and/or 1 1/4

Step-by-step explanation:

Substitute 2 for x in the equation.

4y = 5(2-1)

4y = 5(1)

4y = 5

Divide 5 by 4 to isolate the variable.

y = 1.25 and/or 1 1/4

The percentage decrease in the price of the stock is 0.72%

The initial price of the technology stock = $9.66

The new price of the technology stock = $9.59

The decrease in price = The initial price of the technology stock - The new price of the technology stock

Substitute the values in the equation

= 9.66 - 9.59

Subtract the terms

= $0.07

The percentage of decrease in price = (The decrease in price / The initial price of the technology stock) × 100

Substitute the values in the equation

= (0.07 / 9.66) × 100

= 0.72 %

Hence, the percentage decrease in the price of the stock is 0.72%

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Answer:

36p is the correct answer

Answer: y+4=1/2(x-8)

Step-by-step explanation:

Answer:

180 miles

Step-by-step explanation:

1. Use the drt (distance, rate, time) triangle (shown in the picture) to determine which operation you need to do.

You are given t (time) and r (rate), but you don't have d (distance). What you do is cover up the missing variable d (distance). Since you are left with t and r (time and rate), which are side by side, you multiply the numbers.

2. Plug in the numbers for t and r. Then multiply.

t=3

r=60

3 x 60 = 180 miles

The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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Answer:

-14

Explanation:

Elasticity of demand is the degree of change in demand after a change I'm price, basically demand's sensitivity to price change.

Formula for calculating price elasticity is: change in price/change in quantity =dq/dp

Since we are given p²+2p+q=49 and not initial and current amount of price and quantity, we differentiate to find demand elasticity, thus:

2p+2+dq/dp=0

dq/dp=-2p-2

Given p =6, we substitute:

dq/dp=-2×6-2

dq/dp=-12-2

dq/dp=-14

With a demand elasticity of -14 there is an inverse relationship between price and demand. While price increases, demand falls.

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

A) 1017.9

Step-by-step explanation:

the radius is the bottom line which is 9

The height is the line on the inside which is 12

1/3 x 3.14 x \(9^{2}\) x 12= 1017.36

but if you were to answer it with the pi symbol you would get the estamite of 1017.88 which rounded to the tenths is 1017.9

Answer:

Mode: 4 and 6

Median: 30

Mean: 10

Answer:

mode=30

median=25

mean=10

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Answer: Aₙ = 3*Aₙ₋₁ - 12

Step-by-step explanation:

Here our terms will be denoted as:

Aₙ

Where this is the n-th term of the sequence.

Now we have that the recurrence relation is defined by:

"by multiplying the prior term by 3 and subtracting 12."

Then we will have that:

Aₙ = 3*Aₙ₋₁ - 12

That is the equation to find all the terms in our sequence (remember that we need to know the initial term, A₀ in order to find all the other ones)

Answer:

Step-by-step explanation:

h and c are the numbers of hamburgers and cheeseburgers, respectively.

“a combined total of 486 hamburgers and cheeseburgers”

h + c = 486

“64 fewer cheeseburgers sold than hamburgers”

c = h - 64

Substitution:

h + (h-64) = 486

2h = 550

h = 275

275 hamburgers were sold

Answer (assuming it can be written in slope-intercept form):

\(y = \frac{7}{9} x+\frac{17}{9}\)

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula, \(m = \frac{y_2-y_1}{x_2-x_1}\). Substitute the x and y values of the given points into the formula and solve:

\(m = \frac{(5)-(-2)}{(4)-(-5)} \\m = \frac{5+2}{4+5} \\m = \frac{7}{9}\)

So, the slope is \(\frac{7}{9}\).

2) Now, use the point-slope formula \(y-y_1 = m (x-x_1)\) to write the equation of the line. Substitute \(m\), \(x_1\), and \(y_1\) for real values.

Since \(m\) represents the slope, substitute \(\frac{7}{9}\) for it. Since \(x_1\) and \(y_1\) represent the x and y values of one point the line intersects, choose from any one of the given points (it doesn't matter which one, either way the result equals the same thing) and substitute its x and y values into the formula as well. (I chose (4,5), as seen below.) From there, isolate y to place the equation in slope-intercept form (\(y = mx + b\) format) and find the following answer:

\(y-(5) = \frac{7}{9} (x-(4))\\y-5 = \frac{7}{9} (x-4)\\y -5=\frac{7}{9} x-\frac{28}{9}\\y = \frac{7}{9} x-\frac{28}{9} +\frac{45}{9}\\y = \frac{7}{9} x+\frac{17}{9}\)