a rare stamp is worth $2500 and depriciate by 8% p.a. Find the value of the stamp after one year​

Answer:

n > 3

Step-by-step explanation:

2n - 5 > 1

Add 5 on both sides

2n > 6

Divide by two on both sides to isolate n

n > 3

Using pythagorean theorem

\(\\ \sf\longmapsto x^2=11^2+11^2\)

\(\\ \sf\longmapsto x^2=121+121\)

\(\\ \sf\longmapsto x^2=242\)

\(\\ \sf\longmapsto x=\sqrt{242}\)

\(\\ \sf\longmapsto x=15.4\)

Step-by-step explanation:

Use the pythagorean theorem

\(a {}^{2} + b {}^{2} = c {}^{2} \)

\(11 {}^{2} + 11 {}^{2} = c {}^{2} \)

\(121 + 121 = c {}^{2} \)

\(c = \sqrt{242} = 2 \sqrt{11} \)

Step-by-step explanation:

divide 3÷2 (5x+1.5>3x+2)

move the terms (5x-3x>2-1.5)

2x>0.5

divide by 2

x=0.25

option a-0.2816. To find the probability that Judy will answer exactly 3 questions correctly, we can use the binomial probability formula. In this case, the number of trials is 10 (since there are 10 questions), the probability of success is 1/4 (since there is only one correct answer out of 4 possible choices), and we want to find the probability of getting exactly 3 successes.

The binomial probability formula is:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where:
- P(X=k) is the probability of getting exactly k successes
- (n choose k) represents the number of ways to choose k items out of n items
- p is the probability of success on a single trial
- k is the number of successes
- n is the number of trials

Using this formula, we can calculate the probability as follows:

P(X=3) = (10 choose 3) * (1/4)^3 * (3/4)^(10-3)

(10 choose 3) = 10! / (3! * (10-3)!)
= 10! / (3! * 7!)
= (10 * 9 * 8) / (3 * 2 * 1)
= 120

Now we can substitute the values into the formula:

P(X=3) = 120 * (1/4)^3 * (3/4)^(10-3)
= 120 * (1/64) * (3/4)^7
= 120 * (1/64) * (2187/16384)
= 0.2816

Therefore, the probability that Judy will answer exactly 3 questions correctly is 0.2816.

The correct answer is option a-0.2816.

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Answer: False and x = sqrt(10^2 - 6^2) km

Step-by-step explanation:

1. False

2.Use Pythagoras theorem. The distance between the cars, 10km, is the hypotenuse of a right angled triangle, one leg of which is 6km and the other of which is, say, x km

x = sqrt(10^2 - 6^2) km.

Please mark me brainliest

The required percent increase in the number of games won is approximately 18.2%.So, Option D) is correct.

In essence, percentages are fractions with a 100 as the remainder. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on an examination (75/100).

The percent increase in the number of games won can be calculated as follows:

\($\text{Percent increase} = \frac{\text{New value} - \text{Old value}}{\text{Old value}} \times 100%$$\)

In this case, the old value is the number of games won last year, which is 11, and the new value is the number of games won this year, which is 13. Substituting these values into the formula, we get:

\($\text{Percent increase} = \frac{13 - 11}{11} \times 100% = \frac{2}{11} \times 100% \approx 18.18%$$\)

Therefore, the percent increase in the number of games won is approximately 18.18%.

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Answer:

bro check my explanation

Step-by-step explanation:

the answer is 62cm3.

if I am right.

please give a brainliest

-1/2 -3/6 -2/6 -1/3 -1/6 1/6 1/3 2/6 3/6 1/2

In the Subgame Perfect Equilibrium of a Stackelberg model, firm 1 chooses a number, and firm 2 chooses a function. Therefore, option (d) is the correct answer.

The Subgame Perfect Equilibrium (SPE) is a solution concept in game theory that analyzes strategic decision-making in sequential games. In a Stackelberg model, firm 1 acts as the leader and sets its output level first, followed by firm 2 as the follower, who observes firm 1's output before making its decision.

In the Subgame Perfect Equilibrium of this model, firm 1 chooses a number (output level) while firm 2 chooses a function (strategy). This implies that firm 1's decision is made independently as a quantity, and firm 2, observing firm 1's choice, formulates its strategy based on that information.

Therefore, option (d) is the correct answer: Firm 1 chooses a number, and firm 2 chooses a function in the Subgame Perfect Equilibrium of a Stackelberg model.

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A researcher obtains z = -6.45. The decision for a one-tailed test, upper-tail critical, at a .05 level of significance to retain the null hypothesis, option B.

Now, determining the critical value for the one-tailed test, upper-tail critical, at a .05 level of significance. Using a z-table, we find that the critical value for a one-tailed test at the .05 level of significance is 1.645.
Then, compare the obtained z-value to the critical value. In this case, the obtained z-value is -6.45, and the critical value is 1.645.
Further, making a decision based on the comparison. Since the obtained z-value (-6.45) is less than the critical value (1.645), we fail to reject the null hypothesis.
Therefore, the correct option is B) to retain the null hypothesis.

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The exact non-zero expression for A_n in the Dirichlet-Neumann problem is:

A_n = 0 for n ≠ 5

A_5 = 1

To determine the non-zero expression for An, we need to consider the boundary condition u(x, π) = cos(5x).

Substituting this boundary condition into the general solution u(x, y) = Aoy + Σ[2n=1] A_n cos(nx) sinh(ny), we have:

cos(5x) = A_0y + Σ[2n=1] A_n cos(nx) sinh(nπ)

Since we are looking for non-zero values of A_n, we can ignore the A_0 term. Therefore, we have:

cos(5x) = Σ[2n=1] A_n cos(nx) sinh(nπ)

Now, let's focus on the cosine terms. For the expression to hold for all x in the interval (0, π), the coefficients of the cosine terms on both sides of the equation must be equal.

Comparing the coefficients, we can see that the only term on the right-hand side that contains a cosine function with a non-zero coefficient is the term with n = 5, which corresponds to the coefficient A_5.

Therefore, the non-zero expression for A_5 is:

A_5 = 1

For all other values of n, the coefficients of the cosine terms on the right-hand side are zero, meaning A_n = 0.

Note: The given condition n = 1, 2, 3, ... specifies the values of n that we consider, but in this case, the only non-zero value of A_n is for n = 5.

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The constraints of a linear programming issue must all be concurrently satisfied for a solution to be viable. We are aware that the ideal solution must maximize the value of the goal function and be located at one of the corners of the feasible region.

All of the constraints on the problem are met by a feasible solution. A feasible answer that, when maximized, yields the highest possible value for the objective function is known as an optimum solution (or smallest when minimizing). A linear program with two variables can be solved using a visual solution method.

A fundamental feasible solution (BFS), according to the theory of linear programming, is a solution with a small number of non-zero variables. Each viable solution polyhedron's corner correlates geometrically to a BFS. There must be an optimal BFS if there is an optimal solution. Therefore, taking into account the BFS-s is adequate to arrive at an ideal solution. The simplex algorithm, which effectively moves from one BFS to another until one is found that is optimal, makes use of this property.

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I did it wrong don’t look at mine it’s 4

Hope this helps :)

need more help just comment :) :)

Answer:

15.9

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

to form a linear pair means when the two angles are added, they equal 180 degrees

3x + 20 + x + 32 = 180

4x + 52 = 180

4x = 128

x = 32

When x = -2 , f(x) = 4 , when x = 0, f(x) = 8 ,and when x = 5, f(x) = 18.

Given function:

f(x) = 2x + 8

when x = -2

f(-2) = 2(-2) + 8

= -4 + 8

f(-2) = 4

when x = 0

f(0) = 2(0) + 8

= 8

f(0) = 8

when x = 5

f(5) = 2(5) + 8

= 10 + 8

f(5) = 18

Therefore when x = -2 , f(x) = 4 , when x = 0, f(x) = 8 ,and when x = 5, f(x) = 18.

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Answer:

a 2 = -39

a 2 = a 1 + 12

- 39 = a 1 + 12

a 1 = - 39 - 12

a 1 = - 51 ( first term )

The common difference is : d = 12

The explicit rule for the arithmetic sequence:

a n = a1 + ( n - 1 ) d

a n = -51 + ( n - 1 ) · 12

Step-by-step explanation:

20 is not a solution of the inequality as the value is greater than 400 rather being less than 400.

We have the inequality

26g < 400

Now, for g = 20

26g

=26(20)

= 520 > 400

So, 20 is not a solution of the inequality as the value is greater than 400 rather being less than 400.

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Answer:

-86

Step-by-step explanation:

-102-

98 so the answer is -86

The value of y - intercept is: -5

It is distance between point on Y axis where graph cuts it and origin generally denoted by c.

Here in this question initially f(x) was = x

later we took new function g(x) = f(x-5) = x-5

therefore we call g(x) = x - 5now we need to find y intercept and we know that on y axis (x - coordinate = 0)

just put x=0 in above equation g(0) = -5

which is value of y intercept

y = -5

because one point is origin(0,0) and other is this one(0,-5)we need to calculate distance between these 2 that after finding from distance formula we get answer as 5 but here intercept is negative so, our final answer is -5

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Answer:

w = 20

Step-by-step explanation:

a) Flip the equation.

-3/4 w = -15

b) Multiply both sides by 4/(-3).

(4/-3) * (-3/4 w) = (4/-3) * (-15)

w = 20

the EIR from this transaction is 16.25% (Option B, None of the above).

To find the EIR from the transaction, we need to calculate the effective interest rate (EIR) on the loan. The formula for EIR is:

EIR = [(1 + r/n)ⁿ - 1] x 100

where r is the nominal interest rate, and n is the number of compounding periods per year.

In this case, the nominal interest rate is 10%, and the loan is payable on December 31, 2021, which is 5.5 years from June 30, 2016. Therefore, the number of compounding periods per year is 2 (since interest is payable semi-annually). Substituting these values into the formula, we get:

EIR = [(1 + 0.10/2)₂ - 1] x 100 = 10.25%

However, the bank requires a maintaining balance of 6% for any amount borrowed. Therefore, the effective interest rate is increased by this amount. Adding 6% to the EIR, we get:

EIR = 10.25% + 6% = 16.25%

Therefore, the EIR from this transaction is 16.25% (Option B, None of the above).

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Kara erred when she answered the equation 2x + 6 = -8. Instead, she should have solved the equation 2x + 6 = 8 because it relates to the second situation (where -2x + 6 + 10 is smaller than 0).

Kara made a mistake when solving the equation |- 2x + 6 + 10| = 2. The correct steps to solve this equation are as follows:

First, we need to find the value of -2x + 6 + 10. To do this, we need to remove the absolute value bars by considering two cases:

a. If -2x + 6 + 10 is greater than or equal to 0, then the absolute value is equal to -2x + 6 + 10.

b. If -2x + 6 + 10 is less than 0, then the absolute value is equal to the negative of -2x + 6 + 10.

In the first case, we have -2x + 6 + 10 = 2. Solving this equation gives us x = -1.

In the second case, we have -(-2x + 6 + 10) = 2. Solving this equation gives us x = 7.

Therefore, the solution to the equation |- 2x + 6 + 10| = 2 is x = {7, -1}.

She made a mistake when she solved the equation 2x + 6 = -8. She should have solved the equation 2x + 6 = 8 instead, because this is the equation that corresponds to the second case (where -2x + 6 + 10 is less than 0).

As a result, Kara got the wrong value for x and included the incorrect solution {7, -1} in her final answer.

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Answer: 6

Step-by-step explanation:

Because corresponding sides of similar triangles are proportional,

\(\frac{XY}{3}=\frac{4}{2}\\ \\ \frac{XY}{3}=2\\ \\ XY=\boxed{6}\)

The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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Answer:

0.12

because 3/5 of 0.2 is 0.12

u probably shouldn’t trust me im dum

Step-by-step explanation: