Solve the
inequality for n
22 < n - 6

The value of the computer after n years of use is g(n)=2100(0.7)^n.  (D)

Compound interest is an interest accumulated on the principal and interest together over a given time period. The interest accumulated on a principal over a period of time is also accounted under the principal. Further, the interest calculation for the next time period is on the accumulated principal value. Compound interest is the new method of calculation of interest used for all financial and business transactions across the world. The power of compounding can easily be understood, when we observe the compound interest values accumulated across successive time periods.

To determine the computer's value after n years of use, we use the depreciation formula below:

A(n) = P(1-r)ⁿ

Here, the Principal, P = $2100 and the rate, r = 30%

Substitute these values into the formula.

\(g(n) = 2100 (1-0.3)^{n} \\g(n) = 2100 (0.7)^{n}\)

Thus, the value of the computer after n years of use is g(n)=2100(0.7)^n.  (D)

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Answer:

29

Step-by-step explanation:

u don't need pemdas for this one

Answer:

none of those answers are correct unless u mean 5 and 3/4

Step-by-step explanation:

According to the given statement the total deposited into the employee's fund in the first year would be $7,515.

To calculate how much would be deposited into the employee's fund in the first year, we need to add the amount deducted from the worker's salary (7.7%) and the additional contribution made by the company (9%).

Step 1:

Calculate the amount deducted from the worker's salary:

7.7% of the worker's salary = (7.7/100) * 45,000

Step 2:

Calculate the additional contribution made by the company:

9% of the worker's salary = (9/100) * 45,000

Step 3:

Add the two amounts to find the total deposited into the fund:

Total deposited into the fund = Amount deducted from the worker's salary + Additional contribution made by the company

In the first year, an employee with a starting salary of $45,000 would have $3,465 deducted from their pay and deposited into their retirement fund.

Additionally, the company would contribute $4,050 to the fund.

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The Consumer's Surplus corresponding to q=2,750 units is,

CS(2,750) ≈ 378,127.5 dollars

Now, For the consumer surplus corresponding to q=2,750 units, we'll need to find the area of the region between the demand curve and the horizontal axis, from q=0 to q=2,750.

The demand curve is given by the function D(q) = -0.018q + 88.2.

To find the price corresponding to a quantity of q, we'll need to take the derivative of D with respect to q and invert it:

D(q) = -0.018q + 88.2

dD/dq = -0.018

1/(dD/dq) = -55.56

So the price corresponding to a quantity of q is given by,

P(q) = -0.018q + 88.2.

At a quantity of q=2,750, the price is:

P(2,750) = -0.018(2,750) + 88.2 = 38.2

The consumer surplus corresponding to a quantity of q=2,750 can be found as follows:

CS(2,750) = ∫[0,2,750] (P(qmax) - P(q)) dq

where q(max) is the quantity at which the demand curve intersects the horizontal axis.

From the problem statement, we know that this occurs at q=4,900.

CS(2,750) = ∫[0,2,750] (P(4,900) - P(q)) dq

= ∫[0,2,750] (49.482 - (-0.018q + 88.2))

dq = ∫[0,2,750] (137.682 + 0.018q)

dq = [137.682q + 0.009q²]₀²,750

= 378,127.5

Rounding to the nearest tenth, we get:

CS(2,750) ≈ 378,127.5 dollars

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The trigonometric ratio for cos D is 24/25

To find the trigonometric ratio of cos D, we need to use the cosine function

cos D = adjacent / hypotenuse

In this case, the adjacent side is EF, which has a length of 72 units, and the hypotenuse is DF, which has a length of 75 units. Therefore, we have

cos D = EF / DF

Substitute the values in the equation

cos D = 72 / 75

To simplify this fraction, we can divide both the numerator and the denominator by the greatest common factor, which is 3

cos D = (72/3) / (75/3)

cos D = 24 / 25

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The given question is incomplete, the complete question is:

What is the trigonometric ratio for cosD ? Enter your answer, as a simplified fraction, in the boxes.

Answer:7/25

Step-by-step explanation:

i took the test

Option A. If the alternative hypothesis of the test had been lower-tailed instead of two-tailed, the conclusion of the test would be different.

Recall that a two-tailed test is used when the alternative hypothesis is that the population parameter is different from the null hypothesis value in any direction, while a lower-tailed test is used when the alternative hypothesis is that the population parameter is less than the null hypothesis value.

In the given scenario, if the alternative hypothesis of the test had been lower-tailed instead of two-tailed, we would have tested the following null and alternative hypotheses:

H0: Pharaoh's translation is not worse than the other software's translation.

Ha: Pharaoh's translation is better than the other software's translation.

In this case, we would have calculated the p-value for the lower tail of the sampling distribution, and compared it to the significance level alpha. If the p-value is less than alpha, we would reject the null hypothesis and conclude that Pharaoh's translation is better than the other software's translation. If the p-value is greater than alpha, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that Pharaoh's translation is better than the other software's translation.

Therefore, the correct answer to the question is option A: Unlike the two-tailed test, we would conclude that there is a difference between Pharaoh's translation and the translation of the other software.

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Im good at math, what do you need help with?

Answer:

what do u need my guy 0899

Answer:

The mean is 82.727272727273 rounded 83

Step-by-step explanation:

You add all the numbers:

40 + 75 + 80 + 80+ 81 + 84 + 88 + 90 + 92 + 100 + 100= 910

You divide that result by the total of numbers to add, in this case 11

910/11= 82.727272727273

To round any number, consider that if it is 5 or above it you can round it to the nearest hundred.

Just in case

MODE: 100, 80

MEDIAN: 84

Answer:

$ 7800

Step-by-step explanation:

P'(t) = 3t² + 10t + 6

\(P(t) = \int\limits^a_b {P'(t)} \, dt\)

For the 4th year, the limits are [3,4]

\(P(t) = \int\limits^4_3 {3t^2 + 10t + 6} \, dt\\\\= [\frac{3t^3}{3} + \frac{10t^2}{2} + 6t]^{^4}__{3}\\\\\)

\(=[\frac{3(4)^3}{3} + \frac{10(4)^2}{2} + 6(4)]-[\frac{3(3)^3}{3} + \frac{10(3)^2}{2} + 6(3)]\\\\=[\frac{3(64)}{3} + \frac{10(16)}{2} + 24]-[\frac{3(27)}{3} + \frac{10(9)}{2} + 18]\\\\= [64 + 5(16) + 24]-[27+5(9) + 18]\\\\= 168-90\\\\= 78\)

= $ 7800

Answer:

18

Step-by-step explanation:

because i smart it's will be 18

The volume of the cone is 1/3.

If a prism and a cone have the same base area and the same height, we can use the formula for the volume of each shape to find the volume of the cone.

The volume of a prism is given by V_prism = base area × height. Since the volume of the prism is given as 1, we can write:

1 = base area × height

The volume of a cone is given by V_cone = (1/3) × base area × height. Since the base area and the height are the same as the prism, we can substitute them into the formula:

V_cone = (1/3) × base area × height = (1/3) × 1 = 1/3

Therefore, the volume of the cone is 1/3.

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Answer:

Benny the tiger costs more to feed each day because he eats 12.5 pounds of meat per day, which costs $38.75 ($3.10 x 12.5). Jasmine eats 200 pounds of hay and alfalfa, which costs $0.00, since hay and alfalfa are not typically purchased with money. Therefore, Benny the tiger costs more to feed each day.

The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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\(\stackrel{\textit{\Large morning rate}}{\cfrac{\stackrel{strawberries}{3}}{\underset{minutes}{4}}}~\hspace{7em}\stackrel{\textit{\Large afternoon rate}}{\cfrac{\stackrel{strawberries}{2}}{\underset{minutes}{3}}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\underline{3}}{4}~~ - ~~\cfrac{2}{3}\implies \cfrac{(3)\underline{3}~~ - ~~(4)2}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{9-8}{12}\implies \cfrac{1}{12}\qquad \impliedby \textit{their difference}\)

The approximate number of customers (waiting and being served) at the carwash is 3.

To determine the number of customers (waiting and being served) at the carwash, we can use Little's Law, which states that the average number of customers in a system is equal to the average arrival rate multiplied by the average time spent in the system.

In this case, the average arrival rate is 9 customers per hour, and the average waiting time is given as 23 minutes (which is equivalent to 23/60 = 0.3833 hours).

Using Little's Law, we can calculate the average number of customers in the system:

Average number of customers = Average arrival rate * Average time spent in the system

Average number of customers = 9 customers/hour * 0.3833 hours

Average number of customers = 3.4497 customers

Since we can't have fractional customers, we round the value to the nearest whole number.

Therefore, the approximate number of customers (waiting and being served) at the carwash is 3.

It's important to note that this calculation assumes steady-state conditions and that the arrival and service distributions are not known.

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Answer:

it would take 7 minutes to plow the whole garden.

Step-by-step explanation:

Answer:

Greatest common factor (GCF) of 60: 223

Greatest common factor (GCF) of 108: 22333

The Greatest Common Factor (GCF) is:   2 x 2 x 3 = 12

Step-by-step explanation:

To get the Greatest Common Factor (GCF) of 60 and 108 we need to factor each value first and then we choose all the copies of factors and multiply them.

Answer:

See attachment 2

Step-by-step explanation:

See attachment 1 for complete question

\(Scale= 1 : 2000\)

Required

Fill in the table

The scale implies that:

To fill in the gaps of actual measurements, we simply multiply the scale measurement by 2000

To fill in the gaps of scalar measurements, we simply divide the actual measurement by 2000

For the flag height, we have:

\(Scale\ Measurement = 13.2\ cm\)

Using the analysis above:

\(Actual = 2000 * 13.2\ cm\)

\(Actual = 26400\ cm\)

Convert to meters

\(Actual = 26400m/100\)

\(Actual = 264m\)

For the flag length, we have:

\(Actual\ Measurement = 396\ m\)

Using the analysis above:

\(Scale\ Measurement = 396\ m /2000\)

\(Scale\ Measurement = 0.198\ m\)

Convert to centimeters

\(Scale\ Measurement = 0.198\ cm * 100\)

\(Scale\ Measurement = 19.8\ cm\)

For the height of crescent moon, we have:

\(Actual\ Measurement = 99\ m\)

Using the analysis above:

\(Scale\ Measurement = 99\ m /2000\)

\(Scale\ Measurement = 0.0495\ m\)

Convert to centimeters

\(Scale\ Measurement = 0.0495\ cm * 100\)

\(Scale\ Measurement = 4.95\ cm\)

See attachment 2 for completed table

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\(slope = - 3\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Let me know if you need explanation.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

The statement that gives the best conclusion that should be made based on the results and provides the best explanation for the conclusion is option D;

D. It is reasonable to conclude that the difference in sales was caused by the different cover designs because the cover designs were randomly assigned to stores

Step-by-step explanation:

The data given in the question are presented as follows;

The particulars the CD manufacturer wants to determine = The CD cover design that will generate more sales

The mode of selection of the stores for the test = Random selection

The number of stores in each group of stores, n = 35 stores

The number of sets of stores tested = 2 sets of stores

Let \(\overline x_1\) represent the mean number CDs sold at one set of stores and \(\overline x_2\) represent the mean number CDs sold at the other set of stores

The null hypothesis, H₀; \(\overline x_1\) = \(\overline x_2\)

The alternative hypothesis, H₀; \(\overline x_1\) ≠ \(\overline x_2\)

Given that the statistical analysis shows that the difference in mean between the two sets of randomly selected stores is significant, we therefore should reject the null hypothesis and accept the alternative hypothesis that there is a significant difference in CD sale attributable to the difference in cover design as the CDs having on of two cover design where assigned randomly to the stores.

Let y be f(x)

\(\\ \sf\longmapsto y=4x-12\)

Swipe the values

\(\\ \sf\longmapsto x=4y-12\)

\(\\ \sf\longmapsto 4y=x+12\)

\(\\ \sf\longmapsto y=\dfrac{x+12}{4}\)

\(\\ \sf\longmapsto y=\dfrac{1}{4}x+3\)

Hence.

\(\\ \sf\longmapsto f^{-1}(x)=\dfrac{1}{4}x+3\)

Let y=f(x)

Now interchange the variables

The y we need now

Divide both sides by 4

This is the inverse

Answer:

-1 and 4

Step-by-step explanation:

first you bring the terms on the right side to the left and you get:

-x^2 + 3x + 4 = 0

then you divide both sides of the quadratic by -1:

x^2 - 3x - 4 = 0

then you factor the equation:

(x + 1)(x - 4) = 0

for any product to be zero, one of the factors must be zero. hence, either x + 1 or x - 4 can be zero. so x can be -1 and//or 4.

have a great day <3

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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Liberal arts math is a broad category that includes a variety of mathematical topics designed to give students a well-rounded understanding of mathematics and its applications.

Some common topics in liberal arts math courses may include logic, probability, statistics, geometry, and algebra. These subjects help to develop critical thinking and problem-solving skills that are useful in various aspects of life. If you have a specific question or concept you'd like help with, feel free to ask, and I'll do my best to assist you.

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The slack for binding constraints s always zero.

Each of the constraints has a stated slack or surplus value. When there are less or equal constraints, it is said that there is "slack," and when there are more constraints, it is said that there is "surplus." The matching slack or surplus value will be equal to zero if a constraint is binding.

Total slack, if positive, is the length of time a work can be put off without pushing back the project's completion deadline.

1. A binding constraint's slack value is always zero (0).

2, A "what-if" scenario is the product of a simulation experiment. This basically refers to the examination of information that could characterize or represent a prospective decision option.

3. The maximin decision criteria are used to make cautious decisions. It enables a decision-maker to weigh the worst-case possibilities for each alternative and then choose the best one from those. The "best" results in the example are 1, 5, -4, -3, 2, and 4 for each alternative. With a payout of 5, D-2 is the greatest choice in this situation.

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The slack for binding constraints s always zero.

What is meant by slack value?
Each of the constraints has a stated slack or surplus value. When there are less or equal constraints, it is said that there is "slack," and when there are more constraints, it is said that there is "surplus." The matching slack or surplus value will be equal to zero if a constraint is binding.

What is meant by positive slack value?
Total slack, if positive, is the length of time a work can be put off without pushing back the project's completion deadline.

1. A binding constraint's slack value is always zero (0).
2, A "what-if" scenario is the product of a simulation experiment. This basically refers to the examination of information that could characterize or represent a prospective decision option.
3. The maximin decision criteria are used to make cautious decisions. It enables a decision-maker to weigh the worst-case possibilities for each alternative and then choose the best one from those. The "best" results in the example are 1, 5, -4, -3, 2, and 4 for each alternative. With a payout of 5, D-2 is the greatest choice in this situation.

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Using the empirical rule, we can determine that approximately 15.87% of IQ scores are at least 77.

According to the empirical rule, for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

To find the percentage of IQ scores that are at least 77, we need to calculate the z-score for 77 using the formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

z = (77 - 101) / 12 = -24 / 12 = -2

Since 77 is 2 standard deviations below the mean, we know that approximately 95% - 2% = 15.87% of the IQ scores will be at least 77. Therefore, approximately 15.87% of IQ scores are at least 77, based on the empirical rule.

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Answer:

2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours