1. Which relationship of reaction rates is correct for the following reaction?

   2Na₂CO₃(aq) + 4NO(g) + O₂(g) ---> 4NaNO₂(aq) + 2CO₂(g)

a. -Δ[NO]/Δtime= -Δ[O₂]/Δtime

b. -Δ[NO]/Δtime= -Δ[NaNO₂]/Δtime

c. Δ[NaNO₂]/Δtime = (1/2)(Δ[CO₂]/Δtime)

d. Δ[NaNO₂]/Δ time= -(4)(Δ[O₂]/Δtime)

e. Δ[O₂]/Δtime = (2)(Δ[CO₂]/Δtime)

4. Which statement is NOT true for the reaction C + D ---> F + G if the rate law is
rate = k[C]²[D]^1/2?

a. If the concentration of D is increased by a factor of 4, then the reaction rate will double.

b. If the concentration of C is doubled and the concentration of D is tripled, then the                      reaction rate will increase by a factor of 6.9.

c. If the concentration of C is increased by a factor of 3 and the concentration of D is                                                                                   

decreased by a factor of 4, then the reaction rate will increase by a factor of 4.5.

d. If the concentrations of C and D are doubled, then the reaction rate will                             triple.

e. If the concentration of C is increased by a factor of 4, then the reaction rate will            

              increase by a factor of 16.

5. Which statement is true regarding the experimental determination of a rate law?

            a. In order to determine the value of an exponent for a reactant in the rate law, the concentration of that reactant and one other reactant must be changed.

            b. The instantaneous rate at the midway point of the reaction is used to determine the exponents and rate law for that equation.

            c. The average rate of reaction at the midway point of the reaction is used to determine the exponents and rate law for that equation.

            d. The concentration of one reactant is varied and the remaining reactants are unchanged to determine the value of the exponents for the reactants in a rate law.

using solver

need step by step solution

PROBLEM IV

On a separate sheet, prepare general journal entries, without explanations,

for the merchandising transactions listed for Lowell Company. Assume

use of the perpetual inventory system and use the NET method.

May 1 Sold merchandise to Cento Company for $1,200, terms 2/10,

          n/30, goods cost $800.

     2   Purchased merchandise from Source Corporation for $3,000,

          terms 2/10, n/30.

     3   Gave credit to Cento Company for merchandise returned, $200. Cost of

          goods returned were $120.

     4   Purchased merchandise from Treblow Company for $4,700, terms

          2/10, n/30.

     7 Received amount owed from Cento Company for balance of May 1

          purchase.

    11 Returned $700 in merchandise to Treblow Company for credit.

    11 Paid Treblow Company in full for purchase of May 4.

    15 Paid Source Corporation in full for purchase of May 2.

ABC limited is considering implementing a project X (New manufacturing machine). The following data has been provided in respect of the project 1. The cost of the project is Sh. 2 Million 2. The WACC of the company is 12% Page 2 of 2 3. The useful life of the project is 5 years 4. Depreciation method is straight line 5. Salvage value is expected to be Sh. 200,000 6. Incremental quantity produced and sold is 100,000 units 7. Variable cost per unit is Sh. 60 8. Tax rate is 30% 9. Contribution margin is Sh. 40 10. Fixed costs have been estimated at Sh. 500,000 Required: (i) Estimate the net cash flow from the project for years 1, 2, 3, 4 and 5 (ii) Estimate the Net Present Value of the project (iii) Advise the company based on the Net Present Value (NPV)

1) Determine the price of a $1 million bond issue under each of the following independent assumptions:

2) Prepare journal entries to record the issuance for each of the following the above independent assumptions

3) Only for Assumption 1 and 2, prepare an amortization schedule that determines interest at the effective rate.

Use the table below to answer the following questions: Present Value of 1 Factor Present Value of an Annuity of 1 Factor Period 1/2 Yr Full-Yr 1/2 Yr Full-Yr 1 0.9578 0.9174 0.9578 0.9174 2 0.9174 0.8417 1.8753 1.7591 3 0.8787 0.7722 2.7540 2.5313 4 0.8417 0.7084 3.5957 3.2397 5 0.8062 0.6499 4.4019 3.8897 6 0.7722 0.5963 5.1740 4.4859 Assumption: Required annual effective rate (EPR) of return is 9%. If an investment pays you $54,000 every 6 months for 3 years, what is its present value?

In this lab, you will implement Heap Sort algorithm in C++ and Report the number of steps and the CPU running time in a table, please show the code and output

Approximation the constant c in the complexity of heap sort (cnlgn) by inspecting the results

For each algorithm, and for each n = 100, 200, 300, 400, 500, 1000, 4000, 10000, measure its running time and number of steps when the input is (1) already sort, i.e. n, n-1, …, 3, 2,1; (2) reversely sorted 1, 2, 3, … n; (3) random permutation of 1, 2, …, n; (4) 50 instances of n random numbers generated in the range of [1..n].

Calculating Confidence Intervals

1. Suppose that a recent study asked a sample of Kentucky residents

“Do you believe that evolution should be taught in public schools?”

Out of the 100 people surveyed (the survey was given to a random sample) 80 responded yes. Confirm that the sample size is large enough, calculate a 95% confidence interval and interpret the interval. (Round your answer to 4 decimal places)

2. Using the information in question 1 calculate a 90% interval. You do not need to check the sample size or interpret the interval. (Round your answer to 4 decimal places.

3. Using the information in question 1 calculate a 99% interval. You do not need to check the sample size or interpret the interval. (Round your answer to 4 decimal places)

4. Compare your answers from questions 1-3. What happens to a confidence interval when the level of confidence changes but everything else remains the same?

Many types of identification numbers, including credit card numbers, must satisfy the Luhn Algorithm in order to be considered "valid". This algorithm verifies the number by performing the following operation: starting from the right-most digit, double every 2nd digit. If this doubling causes that digit to be greater than 9, subtract 9 from it. Now add up all the new digits of the number (including the digits that weren't doubled). If the sum is evenly divisible by 10, then the number is valid, otherwise it is not. For example, for the number 2395129857 this would be:

2 3 9 5 1 2 9 8 5 7

2x2 3 9x2 5 1x2 2 9x2 8 5x2 7 (doubling every 2nd digit from right)

4 3 18 5 2 2 18 8 10 7

4 3 9 5 2 2 9 8 1 7 (subtract 9 from any digit greater than 9)

4 + 3 + 9 + 5 + 2 + 2 + 9 + 8 + 1 + 7 = 50

Since 50 is divisible by 10, this number satisfies the Luhn criteria, and is therefore valid.

a) Write a C function called check_luhn that takes a single integer as input, and returns 1 if the number is valid according to the Luhn algorithm, or 0 if not. HINT: Start from the right-most digit, and use simple C operators to find both the digit and the remaining number once that digit is removed. Then process that number if necessary and add it to the sum.

b) Using the function written in part (a), write a C program to print all of the "valid" numbers between 10000000 and 99999999

c) Please provide a short description (in bullet points) of an explanation of how the program works