Depreciation by Three Methods; Partial Years

Perdue Company purchased equipment on April 1 for $37,530. The equipment was expected to have a useful life of three years, or 4,860 operating hours, and a The estimated value of a fixed asset at the end of its useful life.residual value of $1,080. The equipment was used for 900 hours during Year 1, 1,700 hours in Year 2, 1,500 hours in Year 3, and 760 hours in Year 4.

Required:

Determine the amount of depreciation expense for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, by (a) the A method of depreciation that provides for equal periodic depreciation expense over the estimated life of a fixed asset.straight-line method, (b) A method of depreciation that provides for depreciation expense based on the expected productive capacity of a fixed asset. units-of-output method, and (c) the A method of depreciation that provides periodic depreciation expense based on the declining book value of a fixed asset over its estimated life.double-declining-balance method.

Note: FOR DECLINING BALANCE ONLY, round the multiplier to four decimal places. Then round the answer for each year to the nearest whole dollar.

a. Straight-line method

b. Units-of-output method

c. Double-declining-balance method

1. You have 4 groups with an overall sample size of n = 20. The F critical value at the alpha = 0.05 level of significance is 3.24. Complete the following 1 factor ANOVA table below:

Is there a significant difference (α=0.05) between at least two of the four groups for the analysis in question 1 (above)? (circle one) YES NO

2. Use the following data set to complete the ANOVA table and answer the questions.

Is there a significant difference (α=0.05) between at least two of the four groups for the analysis in question 1 (above)? (circle one) YES NO

Confidence interval for Group 1 ( _________ , _________)

Confidence interval for Group 2 ( _________ , _________)

Confidence interval for Group 3 ( _________ , _________)

Is Group 1 significantly different from Group 2 at the α=0.05 level of significance YES NO

Is Group 1 significantly different from Group 3 at the α=0.05 level of significance YES NO

Is Group 2 significantly different from Group 3 at the α=0.05 level of significance YES NO

Reverse Polish notation is a notation where every operator follows all of its operands. For example, an expression (1+2)*(5+4) in the conventional Polish notation can be represented as 1 2 + 5 4 + * in the Reverse Polish notation. One of advantages of the Reverse Polish notation is that it is parenthesis-free.

Write a program which reads an expression in the Reverse Polish notation and prints the computational result.

An expression in the Reverse Polish notation is calculated using a stack. To evaluate the expression, the program should read symbols in order. If the symbol is an operand, the corresponding value should be pushed into the stack. On the other hand, if the symbols is an operator, the program should pop two elements from the stack, perform the corresponding operations, then push the result in to the stack. The program should repeat this operations.

Input

An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.

You can assume that +, - and * are given as the operator and an operand is a positive integer less than 10⁶

Output

Print the computational result in a line.

Constraints

2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 10⁹ ≤ values in the stack ≤ 10⁹

Sample Input 1

1 2 +

Sample Output 1

3

Sample Input 2

1 2 + 3 4 - *

Sample Output 2

-3

Question:

Reverse Polish notation is a notation where every operator follows all of its operands. For example, an expression (1+2)*(5+4) in the conventional Polish notation can be represented as 1 2 + 5 4 + * in the Reverse Polish notation. One of advantages of the Reverse Polish notation is that it is parenthesis-free.

Write a program which reads an expression in the Reverse Polish notation and prints the computational result.

An expression in the Reverse Polish notation is calculated using a stack. To evaluate the expression, the program should read symbols in order. If the symbol is an operand, the corresponding value should be pushed into the stack. On the other hand, if the symbols is an operator, the program should pop two elements from the stack, perform the corresponding operations, then push the result in to the stack. The program should repeat this operations.

Input

An expression is given in a line. Two consequtive symbols (operand or operator) are separated by a space character.

You can assume that +, - and * are given as the operator and an operand is a positive integer less than 10⁶

Output

Print the computational result in a line.

Constraints

2 ≤ the number of operands in the expression ≤ 100
1 ≤ the number of operators in the expression ≤ 99
-1 × 10⁹ ≤ values in the stack ≤ 10⁹

Sample Input 1

1 2 +

Sample Output 1

3

Sample Input 2

1 2 + 3 4 - *

Sample Output 2

-3

Trial 1

Trial 2

Trial 1 added 10 ml 0.020 M of NaOH and 10 ml 1.5x10^-5 crystal violet

Trial 2 added 10 ml 0.040 M of NaOH and 10 ml 1.5x10^-5 crystal violet

tested the absorbance of solution for 20 minutes

1. Based on your experimental determined rate law for the reaction of crystal violet and hydroxide ion, how would doubling the concentration of crystal violet affect the reaction rate?

2. Would you have determened an identical rate law for the reaction of crystal violet and hydroxide ion if you had used hydroxide ion concentrations of 0.030 M and 0.050 M instead of 0.020 M and 0.040 M? briefly explain

3.The rate law for a certain reaction is second order with respect to one of the reactants, R. Suppose you study this reaction, observing the absorbance of light at the analytical wavelength for R, and record the data with respect to elapsed time. Also suppose that the concentrations of all the other reactants are in large excess, and that R is the only colored species invilved. Explain which absorbance function, A, LnA, or 1/A, would yeild a straight-line graph when plotted against elapsed time.

4. Suppose that in the reaction Q + R --> P, only the product is colored

b. what happens to the absorbance at the analytical wavelength for P of the mixture as the reaction progresses?

c. Suppose you do an experie=ment involving this reaction in which Q is present in large excess of R. If the reaction is first order whith respect to R, would the grapph of LnA (for P) versus time be a straight line? Briefly explain

Trial 1

Trial 2

Trial 1 added 10 ml 0.020 M of NaOH and 10 ml 1.5x10^-5 crystal violet

Trial 2 added 10 ml 0.040 M of NaOH and 10 ml 1.5x10^-5 crystal violet

tested the absorbance of solution for 20 minutes

1. Based on your experimental determined rate law for the reaction of crystal violet and hydroxide ion, how would doubling the concentration of crystal violet affect the reaction rate?

2. Would you have determened an identical rate law for the reaction of crystal violet and hydroxide ion if you had used hydroxide ion concentrations of 0.030 M and 0.050 M instead of 0.020 M and 0.040 M? briefly explain

3.The rate law for a certain reaction is second order with respect to one of the reactants, R. Suppose you study this reaction, observing the absorbance of light at the analytical wavelength for R, and record the data with respect to elapsed time. Also suppose that the concentrations of all the other reactants are in large excess, and that R is the only colored species invilved. Explain which absorbance function, A, LnA, or 1/A, would yeild a straight-line graph when plotted against elapsed time.

4. Suppose that in the reaction Q + R --> P, only the product is colored

b. what happens to the absorbance at the analytical wavelength for P of the mixture as the reaction progresses?

c. Suppose you do an experie=ment involving this reaction in which Q is present in large excess of R. If the reaction is first order whith respect to R, would the grapph of LnA (for P) versus time be a straight line? Briefly explain

1. Using the midpoint formula, be able to determine the elasticity along a curve.

Calculate the elasticity from $5 to $4

Calculate the elasticity from $4 to $3

Calculate the elasticity from $3 to $2

a) Find the equation of the normal line at the point (−2, 1 − 3) to the ellipsoid x² /4 + y² + z² / 9 = 3

b) Find a plane through P (2, 1, 1) and perpendicular to the line of intersection of the planes: 2x+y−z = 3 and x+2y+z = 2.

Xn is a discrete-time Markov chain with state-space {1,2,3}, transition matrix, P =

a) find E[X1|X0=2] =

b)  The P(X9=1|X7=3) =

C) The P(X2=2) =

(TestSumSeries.java) Write a recursive method that sums up the

following series:

s(i) = 1/1+ 3/3+3/5+5/7+⋯+ (i+1)/(2i+1)+(i+2)/(2i+1) i = 0, 1, 2, 3, … When i is even, the term is (i+1)/(2i+1) When i is odd, the term is (i+2)/(2i+1) In the main method, display the s(i) for i = 0, 1, 2, 3, 4, 5