Suppose $15,000 is deposited into an account paying 6.5% interest, which is compounded annually. How much money is in the account after five years, if no withdrawals or additional deposits are made?

The range, median and mode of the data-set are given as follows:

Considering the stem-and-leaf plot, the data-set is given as follows:

54, 55, 60, 66, 69, 72, 73, 74, 75, 75, 81, 82, 88, 89, 95, 96.

The range of a data-set is calculated as the difference between the highest value and the lowest value in the data-set, thus:

96 - 54 = 52.

The data-set has an even cardinality of 16, hence the median is calculated as the mean of the two middle elements as follows:

Median = (74 + 75)/2

Median = 74.5.

The mode of a data-set is the observation that appears the most times in the data-set, hence it is of 75, which is the only observation that appears twice in the data-set.

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Answer:

\(x\geq 2\)

Step-by-step explanation:

Write out the problem

\(\frac{x}{-5+6} \geq 2\)

Simplifiy -5 + 6 = 1

\(\frac{x}{1} \geq 2\)

Remember that any fraction with a denominator of 1 is equilvalent to the numerator, so

\(\frac{x}{1} =x\)

\(x\geq 2\)

Answer:

here you go

Step-by-step explanation:

no of times he failed = -3

points he losed = -3 x 4 = -12

no of times he need to hit the target to get 48 points = 6x

equation

-12 + 6x = 48

6x = 60

x = 10

no of points he  will  gain = 10 x 6 = 60

Answer:

Step-by-step explanation:

Given

Total fees

Answer:

$9.75

Step-by-step explanation:

Take the percentage off what he withdrew.

2.5% = 0.025

150 * 0.025 = 3.75

Add the transaction fee.

6 + 3.75 = $9.75

Best of Luck!

Answer:

.

Step-by-step explanation:

Mason can iron 9/2 shirts in one hour

Mason irons 3/4 of a shirt in 1/6 of an hour

At this rate, the number of shirts ironed in one hour can be calculated as follows

3/4 ÷ 1/6 = x/1

3/4 × 6/1= x/1

18/4= x/1

cross multiply both sides

4x= 18

x= 18/4

x= 9/2

Hence Mason can iron 9/2 shirts on 1 hour

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Answer:

37

Step-by-step explanation:

Both the x and the 53 add up to 90 so you subtract 53 from 90 and you get 37

The answer of the given question based on the graph is  the coordinates of point B are (-8, 4).

A quadrant is one of four regions into which coordinate plane is divided by x-axis and y-axis. The x-axis is horizontal axis and the y-axis is vertical axis. The quadrants are labeled using Roman numerals, starting in upper right quadrant and moving counterclockwise.

Since point B is 11 units away from point A, we know that the distance between them is:

d = √((x2 - x1)² + (y2 - y1)²) = 11

where (x1, y1) = (-3, -5) are the coordinates of point A, and (x2, y2) are the coordinates of point B.

We also know that point B is located in quadrant 2, which means that its x-coordinate is negative and its y-coordinate is positive.

To find the coordinates of point B, we can use the distance formula and the fact that point B is in quadrant 2:

d = √((x2 - x1)² + (y2 - y1)²) => 11 = √((x2 - (-3))² + (y2 - (-5))²)

Since point B is in quadrant 2, its x-coordinate is negative and its y-coordinate is positive:

x2 < 0, y2 > 0

We can choose any values for x2 and y2 that satisfy these conditions and the distance formula equation. Let's choose x2 = -8 and y2 = 4:

11 = √((-8 - (-3))² + (4 - (-5))²)

11 = √(25 + 81)

11 = √106

Therefore, coordinates of point B is (-8, 4).

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Answer:

Step-by-step explanation:

what is 12/21 + 18/21 + 14/21

(12 + 18 + 14)/21 =

44/21

The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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Answer:

The answer

Step-by-step explanation:

Figure 1 figure

3/4

Using matrices the simultaneous equation is solved to get x = 3 and y = 5

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

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The number of science fiction novels bought is 2

The number of mystery novels bought is 4

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Number of science fiction = m

Number of mystery novels = n

We have the following equation.

6m + 4n = 28 _____(1)

m + n = 6 _____(2)

From(2) we get,

m = 6 - n

Putting in (1) we get,

6(6 - n) + 4n = 28

36 - 6n + 4n = 28

36 - 2n = 28

36 - 28 = 2n

8 = 2n

n = 4

Now,

Putting n = 2 in m = 6 - n
m = 6 - 4

m = 2

Thus,

The number of science fiction novels bought is 2

The number of mystery novels bought is 4

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Answer: 3.100203 - 2.9076 is equal to 0.192623.

Step-by-step explanation:

3.100203 - 2.9076

= 3.100203 - 2 - .9076

= 3 - .9076

= 2.0924

Answer:

3.100203 – 2.9076

= 0.192603

Step-by-step explanation:

Next time you can also use your calculator.

i hope this helps

Answer:

The central angle measure of the sector is 150º.

Step-by-step explanation:

A sector of a circle is the portion of a circle enclosed by two radii and an arc.

When you know the central angle the area of a sector is given by

                                              \(A=\pi r^2(\frac{C}{360} )\)

where

r is the radius of the circle of which the sector is part.

C is the central angle in degrees.

We know that the area of the sector is \(60\pi \:cm^2\) and the radius is 12 cm. Applying the above formula and solving for the central angle we get that

\(60\pi =\pi (12)^2(\frac{C}{360}) \\\\\pi \left(12\right)^2\left(\frac{C}{360}\right)=60\pi \\\\\frac{\pi 12^2\cdot \frac{C}{360}}{144\pi }=\frac{60\pi }{144\pi }\\\\\frac{C}{360}=\frac{5}{12}\\\\C=150\)

Answer:5pi/6

Step-by-step explanation:

Answer:

f(×)=2(3×-5)

f(×)=74

×

Step-by-step explanation:

2(6×2)=32

Answer:

x = 14

Step-by-step explanation:

Given f(x) = 2(3x - 5) and f(x) = 74, then equate right sides

2(3x - 5) = 74 ( divide both sides by 2 )

3x - 5 = 37 ( add 5 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Answer:

Step-by-step explanation:

Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.

The absolute value will be 90 when the argument of the function is either -90 or +90.

The question resolves to two equations:

These two-step linear equations can be solved in the usual way:

Then ...

Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.

Kim's test scores indicate that he scored as well as or better than 72% of the test takers, and 28% of the test takers scored better than him. His grade equivalent of 12.1 indicates that he would perform adequately in a twelfth grade science class.

His percentile of 88 indicates that he scored as well as or better than 88% of the test takers. His raw score of 72 does not directly indicate the percentage of questions answered correctly, but it can be assumed that he answered a majority of the questions correctly to achieve his score.

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Answer:

b.15%

Step-by-step explanation:

Answer:

I didn't understand your question so i need to do like this . choose the correct one

Answer:

42 degrees

Step-by-step explanation:

the 138 goes on the opposite side aswell.

it adds up to 180 total so 180-132 = 42

Answer:

PQR + 138° = 180°

PQR = 108° - 138°

PQR = 42°

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

Variable terms: 4a and 6a

Constant terms: 4 and 11

Step-by-step explanation:

A constant term is one that is NOT multiplied by any variables.

At this level of math, think of constants as terms that are only numbers.

(for example: 1, 68.9, -42, etc.)

Note that a term in « a + bi » form can also be a constant.

A variable term is a one that IS multiplied by a variable.

(for example x, -3y, 8z, etc.)

In question 1, the variable terms are:

4a and 6a because they are multiplied by the variable a

The constant terms are:

4 and 11 because they are simply integers

Note that the constant terms could also be written as -4 and -11 depending on how the operations are viewed (subtracting vs adding a negative)

Answer:

x=4

Step-by-step explanation:

both corners are 78 meaning the opposite sides are equal in value.

10x-1 = 4x+23

6x = 24

x= 4

double check by putting in 4 to each equation and see if they are equal

10*4-1 = 39

4*4+23= 39

Answer:

so if you know what

4 x 5 is you can just add a 0 to the end

so 4 x 5 = 20

o now add a 0

the awnser is 200!!

Step-by-step explanation:

Answer:

Andy basically has two stickers