17. the temperature inside of a storage building, in degrees fahrenheit, can be modeled using the equation
f(t)= -8.3cos +63.7, where t is the number of hours since midnight.
tc
(a) at what temperature is the building at midnight? explain how you arrived at your answer.
(b) how many hours after midnight does it take for the temperature to first reach its maximum value? explain.

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

1 is true

2 is true

3 is true

Answer:

1 check

2 check

3 no check

4 no check

5 check

Step-by-step explanation:

Answer:

I got answer of question 26 form internet

I don't know anything about graph yet

hope this helps you

Answer:  b = 9 m, h = 4 m

Step-by-step explanation:

9x4 equals 36, but all of these other answers do not equal 36. :)

Answer:

 b = 9 m, h = 4 m

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

As x approaches negative infinity, h(x) approaches negative infinity

As x approaches positive infinity, h(x) approaches negative infinity

I've attached a graph to show why these two are true. Remember that in an absolute value function, the result is always positive. However, because there's a negative constant multiplying the absolute value function, this flips the graph over the x-axis and the result is now always negative. In other words, no matter how big or small x is, y will always get smaller.

Answer:

i think its in this order:

225%

5/2

2.505

square root 6.5

2 pi

Step-by-step explanation

im not sure, but it may be correct

Therefore, the files of approximately 6655 public accountants should be studied to update the study. Therefore, approximately 6646 public accountants should be contacted if no previous estimates of the population proportion are available.

a. To update the study with a margin of error of 2% and a 99% level of confidence, the number of public accountants that should be studied can be calculated using the formula:

n = (Z^2 * P * Q) / E^2

Where:

Z is the z-value corresponding to the desired confidence level (99% confidence level corresponds to approximately Z = 2.576)

P is the estimated proportion from the previous study (20% or 0.2)

Q is the complement of P (1 - P)

E is the desired margin of error (2% or 0.02)

Plugging in the values, we can calculate the sample size:

n = (2.576^2 * 0.2 * 0.8) / (0.02^2) ≈ 6655

b. If no previous estimates of the population proportion are available, a conservative approach is to assume a proportion of 50% (0.5) which would yield the maximum sample size. Using the same formula as above with P = 0.5, we can calculate the sample size:

n = (2.576^2 * 0.5 * 0.5) / (0.02^2) ≈ 6646

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Answer:

35$

Step-by-step explanation:

It will take 10 years and 11 months to payoff the balance. The total interest is $2,574.43

Answer:

The correct answer: F (Scalene) and A (Acute)

Step-by-step explanation:

F. (Scalene):  By definition, a scalene triangle is a triangle that has no equal sides, and no equal angles. This definition matches your given triangle, since it has no equal sides and angles.

A. (Acute): By definition, an acute triangle is a triangle in which all the internal angles are less than 90 degrees. This definition matches your given triangle, since all of the internal angles are less than 90 degrees.

The given triangle is not obtuse, equilateral, right, and isoceles.

It is not an obtuse triangle because none of the angles are greater than 90 degrees.

It is not an equilateral triangle because its sides are not equal.

It is not a right triangle because none of its internal angles measure 90 degrees.

And it is not an isoceles triangle because by definition, an isoceles triangle must have two equal sides. Your given triangle has no equal sides.

The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26

Linear equations are equations that have constant average rates of change, slope or gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6 * (2/3x + 5/2y = 15)

This gives

4x + 15y = 90

Subtract the equation 4x + 15y = 90 from 4x + 15y = 12

4x - 4x + 15y - 15y = 12 - 90

Evaluate the difference

0 + 0 = -78

Evaluate the sum

0 = -78

The above equation is the same equation as option (b) 0 = 26

This is so because they both represent that the system of equations have no solution

Hence, the equation that could represent a linear combination of the system is 0 = 26

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Complete question

The system of equations below has no solution.

2/3x + 5/2y = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

Answer:

\(9) \: y = - 1x - 6\)

\(10) \: y = \frac{1}{6}x + 4\)

Player 1 does not have a dominant strategy, but Player 2 has a dominant strategy, which is strategy B.

a. Player 1 does not have a dominant strategy, but Player 2 has a dominant strategy, which is strategy B.

b. In this game, based on the payoff matrix, Player 2 is guaranteed to achieve a higher payoff by choosing strategy B, regardless of Player 1's strategy. Player 1, however, does not have a dominant strategy because the optimal choice for them depends on Player 2's strategy. Therefore, the outcome of the game will likely result in Player 2 selecting strategy B, leading to a higher payoff for Player 2 compared to any other strategy they could choose.

c. If strategy C is no longer available for either player, it may change the outcome of the game. Without strategy C, both players have to choose between strategies A and B. This could potentially lead to a different set of payoffs and a shift in the balance of power. Depending on the specific payoffs associated with strategies A and B, the outcome of the game could vary. It is possible that without strategy C, one player may have a dominant strategy or the game could reach a Nash equilibrium where neither player can unilaterally improve their payoff.

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Therefore, in about 15 years and 2 months, the senior class will have about 100 students.

An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.

Given by the question.

Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).

Then, we can write the following equation to represent the situation:

P\((1-r)^{n}\) = 100

We know that the current population of the senior class is 320, so we can substitute these values into the equation:

320\((1-0.07)^{n}\) = 100

Simplifying the equation, we get:

\(0.93^{n}\) = 0.3125

Taking the natural logarithm of both sides, we get:

n ln (0.93) = ln (0.3125)

Dividing both sides by ln (0.93), we get:

n = ln (0.3125) / ln (0.93)

Using a calculator, we find that n is approximately equal to 15.21 years.

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Answer:

800.000

Step-by-step explanation:

Because it is the next whole number which is 7 after 7.

Answer:

The first option

Step-by-step explaination:

\(9 {xy}^{3} - 4 {y}^{4} - 10 {x}^{2} {y}^{2} + {x}^{3} y + {3x}^{4} + {2x}^{2} {y}^{2} - 9 {y}^{4} \)

\( (- 4 {y}^{4} - 9 {y}^{4} ) + ( - 10 {x}^{2} {y}^{2} + {2x}^{2} {y}^{2}) + 9 {xy}^{3}+ {x}^{3} y + {3x}^{4} \)

\( - 13 {y}^{4} - 8 {x}^{2} {y}^{2} + 9 {xy}^{3} + x {}^{3} y + 3x {}^{4} \)

\( - 13 {y}^{4} + {3x}^{4} - 8 {x}^{2} {y}^{2} + {x}^{3} y + {9xy}^{3} \)

Answer:

Option A. (–13y4 + 3x4 – 8x2y2 + x3y + 9xy3)

Step-by-step explanation:

its correct

Answer:

5,957

Step-by-step explanation:

if you do length × width × height then add 6 then add 11 you'll get this answer I think

Answer:

1620 ft³

Step-by-step explanation:

Volume :

2970 ft³

1/2(6 ft x 18 ft ) x 30 ft =

(6 ft x 9 ft) x 30 ft =

54 ft² x 30 ft  = 1620ft³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.

So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.

Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.

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An inequality is a mathematical statement that uses symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to) to compare two quantities. In real life, we can use inequalities to describe a wide range of situations. For example, let's say you are buying groceries and you have a budget of $50. You could use the inequality  total cost of groceries < $50 to describe your situation. This inequality states that the total cost of the groceries must be less than $50, or you will exceed your budget.

In another real life situation, let's say you are training for a race and you want to run a certain distance in a specific amount of time. You could use the inequality distance > speed × time to describe your goal. This inequality states that the distance you run must be greater than the product of your speed and the time it takes you to complete the race. Inequality statements can also be used in social science and economics. For example, we can use an inequality to describe the income distribution in a society. We could say that the top 10% of earners have an income greater than the bottom 90% of earners, using the inequality top 10% income > bottom 90% income.

In summary, inequalities can be used to describe real life situations by comparing two quantities using symbols such as <, >, ≤, or ≥. We can use inequalities to describe a wide range of situations, from grocery shopping to income distribution.

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Given:

The lightsaber is filled with full of confetti.

The lightsaber:

The confetti bag is 10oz.

To find:

The number of bags of confetti.

Explanation:

The radius of the lightsaber is,

The volume of the lightsaber is,

In oz,

So, the number of bags will be,

The number of bags required is 8.

Final answer:

The volume of the lightsaber is 81.66 ounces.

The number of bags required is 8.

If A is true, B is false, C is true and D is false, then the truth value of the compound statement (A V B) → [(C ∨ B) ↔~D] is True.

To determine the truth value of the compound statement, follow these steps:

So, the truth value of the compound statement (A V B) → [(C ∨ B) ↔ ~D] when A is true, B is false, C is true, and D is false is True.

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Answer:

(7, -5)

Step-by-step explanation:

We can see the dot, is 7 units to the right of the y axis, and 5 down from the x-axis. We then can create the coordinates because we know where it is:

If it is on the right side of the y-axis, it is positive. If it is below the x-axis, it is negative so:

(7, -5) would be the coordinate point

Given:

The expression is:

\(\log_5(36)-\log_5(9)\)

To find:

The simplified form of the given expression.

Solution:

We have,

\(\log_5(36)-\log_5(9)\)

It can be written as:

\(\log_5(36)-\log_5(9)=\log_5\dfrac{36}{9}\)              \([\because \log_m\dfrac{a}{b}=\log_ma-\log_m b]\)

\(\log_5(36)-\log_5(9)=\log_54\)

Therefore, the simplified form of the given expression is \(\log_54\).

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

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Answer:

3,270

Step-by-step explanation:

In the beginning of the day, there was 4,350 ice cream sandwiches. Then at the end of the day there was 1,080 ice cream sandwiches left, so you have to subtract 1,080 from 1,350 so the problem equation is 4350-1080=?

Here's how you solve it:

  2 15

 43 50

−10 80
______

  3270

Answer:

32% and 0.32

Step-by-step explanation:

8/25 x 4 = 32/100

32/100 = 0.32

Answer:

7

Step-by-step explanation:

heres a model

A ----------R---------D

A ----?-----R----8---D

A----------15----------D

15 - 8 = 7

AR = 7

Answer:

\(\dfrac{2}{3}\)

Step-by-step explanation:

Given the quotient: \(4\dfrac{2}{3} \div 7\)

Step 1: Write \(4\dfrac{2}{3}\) in improper fraction.

\(4\dfrac{2}{3}=\dfrac{14}{3}\)

Therefore:

\(4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7\)

Step 2: Change the division sign to multiplication by taking the reciprocal of 7

\(\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}\)

Answer:

2/3

Step-by-step explanation:

i did it in khan academy