Rentals in a high rise apartment building get more expensive higher up, since the views get better. The ground floor (floor 0) rent is $2,000.00. The rent increases 4% per floor . What is the rent on the 7th floor ?
A) 2000 x 1.08^7 ≈ $3,427.65
B) 2000 x 1.01^7 ≈ $2,144.27
C) 2000 x 1.04^7 ≈$2,631.86
D) 2000 x 1.02^7 ≈$2,297.37

The probability that a student chosen randomly from the class plays both basketball and baseball is 2/13.

What are outcomes?

An outcome is a potential outcome of an experiment or trial in probability theory. Each conceivable result of a specific experiment is distinct, and many results are incompatible (only one outcome will occur on each trial of the experiment).

Given that the total number of students in the class is 26. 6 of them play basketball and 15 of them play baseball. There are 9 students who play neither sport.

The number of students who play at least one sport is (26 - 9) = 17.

Assume that n(A) = 6

n(B) = 15.

n(A∪ B) = 17

n(A∪ B) = n(A) + n(B) - n(A∩B)

17 = 15 + 6 - n(A∩B)

n(A∩B) = 21 - 17

n(A∩B) = 4

Therefore 4 students plays both basketball and baseball.

The number of outcomes of favorable event is 4.

The number of total outcomes is 26.

Probability = The number of favorable outcomes/ Total number of outcomes

The probability is 4/26 = 2/13

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Answer:

Step-by-step explanation:

Starting elevation of B = +200 feet

Change in elevation for B = 75 feet down

Final elevation of B = +200 - 75 = +125 feet

The addition equation for B can be written as:

Starting elevation + Change = Final elevation

+200 - 75 = +125

The number line diagram for B is as follows:

+------------------------+------------------------+------------------------+

A B C D

+200 +125 +225

<----- 75 ft ----->

(change in elevation)

The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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Answer:

28.0

Step-by-step explanation:

if rounding to the nearest tenth then the number in the hundredth determines what to do - if the number in hundredths is '5 and above, give it a shove'

meaning in this case the 7 bumps the 9 up by one; but a nine will carry over and bump the number in the ones place up by one

Answer:

28

Step-by-step explanation:

Hi there!

This decimal is a tricky one.

we know we’re rounding to the nearest tenth, so the hundredths place will come in handy.

Since there is a 7 in the hundredths place, we know we’re going to round up, but we have a 9 in the tenths place, so it would become a ‘10’, which is just going into the next whole number, which is 28.

I hope this helped!

M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

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Answer:

  is not a rectangle

Step-by-step explanation:

The midpoints of the diagonals are ...

  AC midpoint = ((2, -2) +(11, 13))/2 = (13/2, 11/2)

  BD midpoint = ((14, 10) +(-2, 1))/2 = (6, 11/2)

The midpoints of the diagonals are different, so this is not a rectangle or any sort of parallelogram.

Answer:

x= -9/2, y= -10

Step-by-step explanation:

you need find the x value in one equation and then subsitute it to the other equation, in this case, I would prefer finding it out of the first one.

The two most common graphical charting techniques are bar charts and line charts. (Option B)

The two most common graphical charting techniques are bar charts and line charts.

Bar charts are used to represent categorical data by displaying rectangular bars of different heights, where the length of each bar represents a specific category and the height represents the corresponding value or frequency.

Line charts, on the other hand, are used to represent the trend or relationship between data points over a continuous period or interval. Line charts connect data points with straight lines to show the progression or change in values over time or other continuous variables.

Option B) bar charts and line charts accurately represent the two most common graphical charting techniques used in data visualization. Vertical and horizontal charts (option A) are not specific chart types but rather describe the orientation of the axes. Series charts (option C) and printed charts and screen charts (option D) are not commonly used terms in the context of charting techniques.

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Answer:

22

Step-by-step explanation:

Range is the highest value - the lowest value so in this case it's:

27-5 = 22

Answer:

A. \(5.21*10^{8}\)

Step-by-step explanation:

Multiplying by \(10^{n}\) moves the decimal point n places to the right.

Doing so 8 times for 5.21 gives 521,000,000.

Answer:

$16.20

Step-by-step explanation:

to find the sales tax multiply the original number by the sales tax. 15*.08 is 1.2. Then add that to $15

Answer:

Step-by-step explanation:

40

The hypothesis test is for μ with a null hypothesis (H0) of 40 and alternative hypothesis (HA) of less than 40.The standard normal distribution is used to get the P-value for the z-score of -1.76.

Since it is a left-tailed test, the area of the left tail of the standard normal distribution that is to the left of the z-score -1.76 should be calculated.As the alternative hypothesis HA is a less than hypothesis, the P-value is the probability of getting a z-score of less than -1.76 under the standard normal distribution. The P-value is calculated using the standard normal table or a calculator that gives the area under the standard normal distribution curve.Using the standard normal table, the area corresponding to the z-score of -1.76 is 0.0392. Therefore, the P-value of the test is 0.0392 or 3.92%.Answer: 0.0392 or 3.92%.

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The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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The width of rectangle Y is 8 units.

The width of rectangle Y is obtained applying the proportions in the context of the problem.

The dimensions of rectangle X are given as follows:

Height of 3 units.

Width of 2 units.

The dimensions of rectangle Y are given as follows:

Height of 12 units.

Width of x units.

The height was enlarged by a scale factor of 4, hence the width is given as follows:

2 * 4 = 8 units.

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Complete Question

Check attached image

You have 48 napkins. You're planning on buying some packages of napkins at the store later. Each package contains 22 napkins. You've got to buy enough since you've need 290 napkins. How many packages of napkins will you buy? Let the amount of packaged napkins you'll buy be x.

The lion is the second fastest land animal in all of Africa, reaching a top speed of 81 km/h (50.3 mph). The lion can consider itself faster than other animals, only being outpaced by the cheetah, which can achieve an astounding 120 km/h (74 mph).

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The surface area of the barrel needs to be calculated in order to determine the amount of paint. The surface area of the barrel, including the lid, is 13 m²

Missing data from the problem:

radius of the barrel = 0.4 meters

height of the barrel = 1.2 meters

The shape of a barrel is cylinder. The surface area of the barrel, including the lid) is:

A = 2. πr² + 2. πr.h

Where:

r = radius

h = height

Plug the parameters into the formula:

A = 2. π(0.4)² + 2. π(0.4).(1.2)

A = 13 m²

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Step-by-step explanation:

Given expression:

            3(2x - 9) - x = ?

Since x = 2;

  Insert into any place you find x;

       = 3(2(2) - 9) - 2

      = 3(4 - 9) - 2

      = 3(-5) - 2

      = -15 -2

      = -17

Answer:

y = - \(\frac{1}{5}\) x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

4x + 20y = - 180 ( subtract 4x from both sides )

20y = - 4x - 180 ( divide all terms by 20 )

y = \(\frac{-4}{20}\) - \(\frac{180}{20}\) , that is

y = - \(\frac{1}{5}\) x - 9 ← in slope- intercept form

Thus, the equation of the line is: \(y - A = B(x - C)\)

where A = 0, C = 5 - 10/a, and B = -5/a. Substituting \(a^2 = 10\), we get:

\(A = 0\)

\(B = -5/a = -5/\sqrt(a^2) = -5/\sqrt(10)\\)

\(c = 5-10/a= 5-\sqrt{(100/a^{2} )} = 5-\sqrt{10}\)

An equation is a mathematical statement that uses symbols, numbers, and operations to show that two expressions are equal. It usually contains one or more variables, which represent unknown values that need to be solved for. Equations are used in a wide range of mathematical fields, such as algebra, geometry, calculus, and physics, to model real-world situations and solve problems. Some common examples of equations include:

Linear equation: y = mx + b.

by the question.

Let A = (a, 0) and C = (0, c) be the points of intersection with the x and y axes, respectively. Then the equation of the line passing through (2,5) and (a,0) is given by:

\((y - 5)/(0 - 5) = (x - 2)/(a - 2)\)

Simplifying, we get:

\(y = (-5/a)x + (5a/a - 10)\)

\(y = (-5/a)x + (5 - 10/a)\)

Now, we can find the coordinates of A and C by setting y = 0 and x = 0, respectively:

\(A = (a, 0) \geq 0 = (-5/a)a + (5 - 10/a) \geq a^2 = 10\)

\(C = (0, c) \geq c = (-5/2)(0) + (5 - 10/a) \geq c = 5 - 10/a\)

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Answer:

Option B is the correct option.

Step-by-step explanation:

Given,

Diameter ( d ) = 7 cm

Radius is just half of diameter.

Radius ( r ) = 7 / 2 = 3.5 cm

Height ( h ) = 6 cm

Now, let's find the volume:

Volume of cylinder : \( \sf{\pi \: {r}^{2} h}\)

plug the values

⇒\( \sf{ \frac{22}{7} \times {3.5}^{2} \times 6}\)

Evaluate the power

⇒\( \sf{ \frac{22}{7} \times 12.25 \times 6}\)

Calculate

⇒\( \sf{231 \: {cm}^{ 3} }\)

Hope I helped!

Best regards!!

Answer:

The answer is 231 cm^3

Step-by-step explanation:

This is a volume question so we will bring out the question comment first:

Diameter= 7 cm

Height =6 cm

We have to change the diameter to radius so we will do: the diameter which is 7 divided by two which will be 3.5.

We can now start proper.

Formula of volume=pile r square h

22/7 or 3.14 times the radius raised to power 2 times the height=

22/7 x 3.5^2 x 6=

22/7 x 12.25 x 6=

231 cm³

Hope it helps.

Answer: To find the percentage of people with an IQ score less than 117, we need to calculate the z-score first. The z-score measures how many standard deviations an individual score is from the mean in a normal distribution.

The z-score formula is given by:

z = (x - μ) / σ

Where:

Let's calculate the z-score:

Now, we need to find the percentage of people with a z-score less than 1.1333. We can look up this value in the standard normal distribution table (also known as the Z-table) or use statistical software/tools.

Using the Z-table, we find that the percentage of people with a z-score less than 1.1333 is approximately 0.8708, or 87.08% (rounded to the nearest hundredth).

Therefore, approximately 87.1% of people have an IQ score less than 117.

Answer:

K

Step-by-step explanation:

Quadrants I, II, and III.

Answer:

k

Step-by-step explanation:

Answer:

7/5

Step-by-step explanation:

Go up from the lower left point along the orange line 7 units.

7 units up = a rise of 7

Now go right on the orange line 5 units.

5 units right = a run of 5

slope = rise/run = 7/5

Answer: 7/5

Answer:

Step-by-step explanation:

For a necklace.

There are x wooden beads at $0.50 each.

There are 6 glass beads at $1.25 each

Therefore the cost of the beads in a necklace is

0.50x + 6*1.25 = 0.5x + 7.5 dollars

There are (x+6) beads. Because the average cost of the beads is $0.75, therefore

The solution for x may be obtained as follows:

0.5x + 7.5 = 0.75x + 4.5

-0.25x = -3

x = -3/-0.25 = 12

Answer:

The equation to find x is

(0.5x + 7.5) = 0.75(x + 6)

The area enclosed by the given curves is \(A=32\int\limits^{2\pi}_0 {sin(t^{2})cost(t) } \, dt\) .

To find the area enclosed by the curve described by the parametric equations x = 2sint, y = 16sin(t²) for 0≤t≤2π, we can use the formula for the area enclosed by a parametric curve

\(A=\int\limits^b_a {y(t).x'(t)} \, dt\)

where x'(t) is the derivative of x(t) with respect to t, and a and b are the lower and upper limits of the parameter t.

Lets calculate the derivative of x(t)

dx/dt = 2cos(t)

Now substitute the values in the formula

\(A=\int\limits^{2\pi }_0 {(16sin(t^{2})).(2cos(t)) } \, dt\)

Simplifying the expression

\(A=32\int\limits^{2\pi}_0 {sin(t^{2})cost(t) } \, dt\)

Unfortunately, there is no known elementary function that can represent the antiderivative of the product sin(t²)cos(t). Therefore, we cannot obtain an exact closed-form solution for the integral.

However, if numerical approximation is acceptable, we can use numerical methods, such as numerical integration techniques or software, to find an approximate value for the area enclosed by the curve.

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Answer:

cos x.

Step-by-step explanation:

The graph 3 of the function y = cosx is not graphed correctly. Option C is correct.

Graphs of function have been shown in the image. It is to determine which graph is incorrect.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Graph 1, 2, and 4 are of y = tanx, y = sinx and y = cotx respectively are correct. And this option can be omitted.

Graph 3 of y = cosx is incorrect because the value of y = cosx is +1  but in the graph the value is -1 and also at c = π the value of function y = cosx is -1 but in the graph the value is +1  which is wrong.

Thus, The graph 3 of the function y = cosx is not graphed correctly. Option C is correct.

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Using the binomial distribution, it is found that the spinner is expected to have to spin approximately 132 times for a multiple of 5 to be spun 22 times, hence option 4 is correct.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

\(E_f(X) = \frac{q}{p}\)

In this problem:

Then:

\(E_f(X) = \frac{q}{p} = \frac{22}{\frac{1}{6}} = 22 \times 6 = 132\)

Hence option 4 is correct.

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Answer:

132

Step-by-step explanation: I took the test

Answer:

HEY MATE FIRST OF ALL THE QUESTION  IS NOT COMPLETE. TRY MAKING IT MORE CLEAR NEXT TIME !

Step-by-step explanation:

IF THE QUESTION IS THIS IN THE BELOW THEN HERE IS THE ANSWER  .

What is true about angle ∠APD?

It is to angle Angle A P C.

It is to angle Angle C P B.

SOLUTION :

Answer: It is supplementary to angle Angle A P C.

It is vertical to angle Angle C P B.

 I hope this help :)