Answer:

Answer: A

Compound interest simply defined as the interest added at regular interval. Compound interested can be calculated using

Compound interest = P (1+) ^nt and Pe ^rt

P = Initial balance

r = Annual interest rate

n = Number of times the interest is compounded per year

t =Number of year money is invested

Using

Compound interest = P (1+ ) ^nt

Continuous

P= $ 8000

t = 6

r = 6.25%

=

= 0.0625

n = 1

Compound interest = 8000 (1+) ^1×6

= 8000 (1 + 0.0625) ^6

= 8000 (1.0625) ^ 6

= 8000× 1.4387

= $11,509.6

Semi- annually

P= $ 8000

t = 6

r = 6.3%

=

= 0.063

n = 2

Compound interest = 8000 (1+) ^2×6

= 8000 (1 + 0.063) ^12

= 8000 (1.063) ^12

= 8000× 1.4509

= $11,607.0

Investing $ 8000 semi-annually at 6.3% for 6 years yields greater return

Therefore the answer is (A)

The number of salted peanuts in a nut mix is 13 times the number of cashews There are 52 peanuts. How many cashews are there? SHOW EXPLANATION

Find the value of X.

In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sumof the other angles,Which of the following could represent the measures of the three angles?Ox, 2%, 4%OX, 2x, 3xOX, 2x, 2x

The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6100 graduate management programs worldwide. The mean sore for all test‑takers is 550 with a standard deviation of 120. A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550. She has a random sample of 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation σ=120. The null and alternative hypotheses are H0:µ=550 versus Ha:µ<550.Required:State the null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines.

Find the zeros of the functionk(x) = -5x² - 125The zeros of k are x= □ and x= □

Find the value of X.

In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sumof the other angles,Which of the following could represent the measures of the three angles?Ox, 2%, 4%OX, 2x, 3xOX, 2x, 2x

The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6100 graduate management programs worldwide. The mean sore for all test‑takers is 550 with a standard deviation of 120. A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550. She has a random sample of 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation σ=120. The null and alternative hypotheses are H0:µ=550 versus Ha:µ<550.Required:State the null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines.

Find the zeros of the functionk(x) = -5x² - 125The zeros of k are x= □ and x= □

**Answer:**

205.65 interest

**Step-by-step explanation:**

Answer:

Option D on Edg.

Step-by-step explanation: I took the test and the correct option is $5695.05.

multiplication and addition,

3x5

I’m not 100% sure what you’re asking for but

5+5+5

3+3+3+3+3

5x3

3x5

5+5+5

3+3+3+3+3

5x3

3x5

A)

17 inches

B)

2.4 inches

o

2.9 inches

D)

3.1 inches

**Answer:**

B) 2.4 inches

**Step-by-step explanation:**

The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in *one *month you need to divide the total by the amount of months. 28.8/12 = 2.4

**Answer:**

a)

And rounded up we have that n=551

b)

And rounded up we have that n=494

**Step-by-step explanation:**

**Previous concept**

A **confidence interval** is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The **margin of error** is the range of values below and above the sample statistic in a confidence interval.

**Normal distribution**, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

**Solution to the problem**

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and . And the critical value would be given by:

**Part a**

The margin of error for the proportion interval is given by this formula:

(a)

And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:

(b)

We can assume that since we don't know prior info. And replacing into equation (b) the values from part a we got:

And rounded up we have that n=551

**Part b**

And rounded up we have that n=494

To determine the required **sample **size for the survey, we can use a sample size formula based on the desired confidence level and margin of error. If nothing is known about the passenger preferences, a sample size of 549 would be needed. If a prior survey suggests a certain proportion, the sample size can be calculated using the known proportion.

In order to determine the number of randomly selected air passengers that must be surveyed, we need to calculate the required sample size for a desired confidence level and margin of error.

a. If nothing is known about the percentage of passengers who prefer aisle seats, we can use a sample size formula given by n = (Z^2 * p * q) / E^2, where Z is the z-score corresponding to the desired confidence level, p and q are the estimated proportions for aisle seat preference and non-aisle seat preference respectively, and E is the desired margin of error. Since a confidence level of 99% and a margin of error of 5.5% are specified, we can round up the sample size to 549.

b. If a prior survey suggests that about 34% of air **passengers** prefer an aisle seat, we can use the same sample size formula but with the known proportion p = 0.34. We do not have information about the non-aisle seat preference, so we cannot determine the required sample size.

#SPJ11

**Correct answer is: P(x<6) is 0.123 and it is usual.**

**Solution:-**

Given that the time a person takes to decide which shoes to purchase follows normal distribution. Which has mean = 8.21 minutes and standard deviation 1.90

Then probability of individual takes less than 6 minutes is

P(X<6) =

=

= 0.1230

Typically we say an event with a probability less than 5% is unusual.

But here P(X<6) = 0.123 is greater than 5% hence this is usual.

Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)

Decreasing (-∞, 2) U (6, ∞); increasing on (2, 6)

Increasing (-∞, -2) U (-6, ∞); increasing on (-2, -6)

**Answer:**

Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)

**Step-by-step explanation:**

To determine where is increasing or decreasing, we set and check for the intervals.

We see that when either or . Therefore, we'll need to check the intervals , , and

For the interval , we can pick . This means that, showing that increases on the interval

For the interval , we can pick . This means that , showing that decreases on the interval

For the interval , we can pick . This means that , showing that increases on the interval

Therefore, is increasing on and is decreasing on .