Find the present value of the following future amount.

$200,000 at 11% compounded semiannually for 25 years. what is the present value? (round to the nearest cent)

Answer:

17²=15²+x²

289=225+x²

288-225=x²

64=x²

x=6

Answer:

8

Step-by-step explanation:

By Pythagoras theorem,

(hypotenuse)² =  (altitude)² + (base)²

(17)² = x² + (15)²

(17)² - (15)² = x²

289 - 225 = x²

x² = 64

x = √64

x = 8

hope this helps you!

Answer:

x = 3

Step-by-step explanation:

The midsegment is half the sum of the parallel bases, that is

\(\frac{1}{2}\) (3x + 3 + 4x + 2) = 13

\(\frac{1}{2}\) (7x + 5) = 13 ( multiply both sides by 2 )

7x + 5 = 26 ( subtract 5 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

The sector's needed area while adopting the center angle is 75.6°.

When two circle radii come together to form a vertex in the center of a circle, the result is a central angle.

This circle's arms could come from two different locations along its arc.

The intersection of the two radii produces a central angle that makes it easier to divide a circle into several halves.

Area of circle:

πr² = 121π

r² = 121

r = 11 m

Now, the area of the sector:

= θ/360 * πr²

= 28/360 * 3.14 * 11 * 11

= 72 * 379.94/360

= 72*1.05

= 75.6

Therefore, the sector's needed area while adopting the center angle is 75.6°.

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According to Chebyshev's theorem, we can determine that at least 75% of employees at the company have one-way commuting times between 14 and 54 minutes.

Chebyshev's theorem states that for any set of data, regardless of its distribution, at least (1 - 1/k²) of the data falls within k standard deviations of the mean, where k is any positive number greater than 1.

In this case, the mean commuting time is 34 minutes, and the standard deviation is 8 minutes. We want to find the minimum percentage of employees with one-way commuting times between 14 and 54 minutes, which is within 2 standard deviations of the mean.

Using Chebyshev's theorem, we calculate the minimum percentage as (1 - 1/2²) = 1 - 1/4 = 3/4 = 75%.

Therefore, at least 75% of the employees at the company have one-way commuting times between 14 and 54 minutes.

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Answer: Jerry will have to grow 24 more inches to reach his max Height of 72 inches. If you put this into an inequality it would be 48 plus a number that is more significant than or equal to 72

Step-by-step explanation:

48+X_>72

Answer:

X=2

Step-by-step explanation:

Answer:

x=152.5

Step-by-step explanation:

subtract from both sides 25 so it will be

10x=1525

then divide both by 10 so it will be

x=152.5

Answer:

D

Step-by-step explanation:

They just proved that m< 3 =m< 7 and m< 4=m< 8

So if m< 8=m< 5 and m< 7=m< 6

You can plug in m<5 for m< 8 and m<6 for m<7

Therefore:

m<6=m<3

m<5=m<4

Also, the angles that were proved congruent were vertical angles so the theorem they put works

Answer:

D

Step-by-step explanation:

You take the area of the square minus the area of the circle.

The graph of f(x) = x in a straight line passing through the origin (0,0) and  at an angle of 45 degrees to the x axis. It increases from left to right.

What is graph?

In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other forms of graphs.

A simple graph is one in which no two vertices are connected by more than one edge, and no edge begins or finishes at the same vertex. In other terms, a simple graph is one that doesn't have loops or many edges.

Reflection in the x axis  will convert all positive values of f(x) to negative values of f(x)  and vice versa.  

g(x)  = - x     and is a straight line passing through origin  at angle of 45 degrees but the slope descends from left to right.

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As per the concept of z - score, the percentile would this client's score is 0.4772

Z - score:

In statistics, z - score is also termed the standard score, is used to determine how much each data point position is away from its mean. Where as in other words, it measures the deviation of x (data point) in terms of the standard deviations. Here the percentage of the population above or below the score can be obtained using z tables.

Given,

A test has a mean of 100 and a standard deviation of 15. a client scores 130 on the test.

Here we need to find at what percentile (rounded off) would this client's score place her.

As per the formula of z score, here we have the values,

mean = 100

standard deviation = 15

Score = 130

Therefore, the z score is calculated as,

=> z score = (130 - 100) / 15

=> z score = 30 / 15

=> z score = 2

According to the z score table the resulting value is 0.4772.

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Answer:

2 1/2

Step-by-step explanation:

3 1/3 = 10/3 = 20/6

20/6-5/6=15/6

15/6=5/2=2 1/2

The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

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Answer:

Answer is option a) 4/5

Here value of opposite side is 40

And the value of hypotenuse is 50

Step-by-step explanation:

\( \sin(C) = \frac{opposite \: side \: }{hypotenuse} \\ = \frac{40}{50} \\ = \frac{4}{5} \)

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

P(Y) = 2/10 = 1/5

Step-by-step explanation:

From the above question:

Total number of marbles = 10 marbles

Number of yellow marbles = 2 yellow marbles

Number of blue marbles = 4 blue marbles

Number of red marbles = 4 red marbles.

The probability of choosing a marble that is yellow is calculated as:

= P(Y) = Number of yellow marbles/Total number of marbles

P(Y) = 2/10

P(Y) = 1/5

Answer:

C

Step-by-step explanation:

8 (-1.5) - 5 = 12 (-1.5) + 1

-17 = -17

The expression f(0) represents the y-intercepts on the graph of f(x). The y-intercepts of a graph is the point where the graph crosses the y-axis.

The probability that the average score of the golfers exceeded 62 = 0.0228

Given the mean score of all golfers, μ = 72

and the Standard Deviation, σ = 4

Number of golf players, n = 64

We have to find the probability that the average score of the golfers exceed 73. i.e., x = 73

This follows the Normal Distribution.

Hence the z-score, Z = (x - μ)/(σ/√n)

                                   = (73 - 72)√64/4

                                   = 2

Probability that the average score of the golfers exceeded 73 = P(Z > 2)

                                                                                                        = 0.0228 [from the z-tables]

The question is incomplete. Find the complete question below:

t\The average score of all golfers for a particular course has a mean of 72 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the golfers exceeded 73 .

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Answer:

60 minutes

Step-by-step explanation:

Latitude and longitude are measuring lines used for locating places on the surface of the Earth. They are angular measurements, expressed as degrees of a circle. A full circle contains 360°. Each degree can be divided into 60 minutes, and each minute is divided into 60 seconds.

One degree of latitude is equal to approximately 60 nautical miles or 69 statute miles. Since a minute of latitude is one-sixtieth of a degree, it follows that one degree of latitude is equal to 60 minutes.

This means that there are 60 nautical miles or 69 statute miles between two points that differ by one minute of latitude.

The minute of latitude is a widely used unit for measuring distances on Earth, particularly in navigation and aviation. It allows for precise calculations and is crucial for determining positions accurately. Understanding the relationship between degrees of latitude and minutes helps in determining distances, estimating travel times, and ensuring accurate navigation across the globe.

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Answer:

\(y - 9 = 3(x - 5)\)

Explanation:

y=3x+5

If you want the equation parallel, then the slope will be: 3

Point Slope Form: \(y - y_{1} = m( x - x_{1})\)

Since we have everything we need for this equation, we just need to fill in the blanks:  \(y - 9 = 3(x - 5)\)

Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

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Learn more

Answer:

B=1

M= -3

Equation=y=1x+-3

Answer:

2 boxes

Step-by-step explanation:

1 dozen = 12

24 divided by 12 = 2!

Answer:

S/he needs 2 boxs

Step-by-step explanation:

24/12=2

Answer:

Step-by-step explanation:

y - 3 = x - 3

y = x

Answer:

0

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

Answer:

ABCE) 48

CDE) 36

ABCDE ) 48+36=84

Answer:

x=17 degrees

Step-by-step explanation:

All 3 angles = 180 degrees

So 90 + 54 + (x+19) = 180

Combine like terms

163 + x = 180

Subtract 163 from both sides

x = 180-163

x = 17