Given the following information:

(1) Write the net ionic equation for the reaction that occurs when equal volumes of 0.292 Maqueous hydrocyanic acid and sodium hypochlorite are mixed. It is not necessary to include states such as (aq) or (s).

(2) At equilibrium will the reactants or products be favored?

(3) Will the pH of the resulting solution be less than seven, greater than seven or equal to seven?

5. A large tank of water is full and has a depth of 10.0 m. What is the pressure at the bottom of the tank? What would the velocity of the water be if the tank was opened at the bottom?

6. A Two balloons of identical volume (radius 11.5 m) are filled with gas. The first with helium, the second with hydrogen (H₂) gas. Each balloon and cage have a mass of 750 kg. What is the lift created by each one? Which one lifts better?

7. A irregular piece of metal has a dry mass of 5.7 kg. Once it is submerged it has an apparent mass of 2.4 kg. What is the density of the piece of metal?

8. If water leaves a tank of water at a velocity of 16.7 m/s, how tall is the tank?

Here is a project I am currently working on and I could use some feedback on how to get started. I calculated the general probabilities for the first two columns of each spreadsheet (successes / total outcomes). I don't want to move forward until I know I'm on the right track but I'm concerned that I've oversimplified the question being asked. I'm also using Excel and am having a hard time finding an appropriate formula for conditional probability. My book provides the handwritten formula but not for Excel. Is there one? Thanks for any guidance!

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The spreadsheet provides the data for the total cases disposed, numbers of appealed cases and the numbers of reversed cases for judges in each court. Using Excel, calculate the following probabilities for each judge. Use the spreadsheets to fill in these numbers on the tables for each court.

1. The probability of a case being appealed for each judge.

2. The probability of a case being reversed for each judge.

3. The probability of a reversal given an appeal for each judge.

6. You won the big prize in the California lottery and you have to choose one of the following two payment plans:

Payment Plan 1: If you choose this payment plan, you will receive semiannual payments for a fixed period of time. The first payment of Rs. 150,000 will be paid on January 01, 2007 and it will grow by 2% every six months. You will receive the last payment on January 01, 2016

Payment Plan 2: If you choose this payment plan, you will receive yearly payments for 10 years. You will receive your first payment on January 01, 2007 and your last payment on January 01, 2016. However the payment amount in odd years is Rs. 200,000 whereas the payment amount in even years is Rs. 500,000.

Assuming the interest 8% compounded semiannually. If your decision is solely based on the present value of cash flows streams corresponding to the payment plans, which payment plan would you choose

Constrained Optimization: One Internal Binding Constraint

Patz Company produces two types of machine parts: Part A and Part B, with unit contribution margins of $200 and $400, respectively. Assume initially that Patz can sell all that is produced of either component. Part A requires two hours of assembly, and B requires five hours of assembly. The firm has 200 assembly hours per week.

Required:

1. Express the objective of maximizing the total contribution margin subject to the assembly-hour constraint.

Objective function: Max Z = $200 A + $400 B

Subject to:   A +   B ?  

2. Identify the optimal amount that should be produced of each machine part. If none of the components should be produced, enter "0" for your answer.

Identify the total contribution margin associated with this mix.
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3. What if market conditions are such that Patz can sell at most 50 units of Part A and 40 units of Part B? Express the objective function with its associated constraints for this case.

Objective function: Max Z = $200 A + $400 B

Identify the optimal mix and its associated total contribution margin.
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Constrained Optimization: One Internal Binding Constraint

Patz Company produces two types of machine parts: Part A and Part B, with unit contribution margins of $200 and $400, respectively. Assume initially that Patz can sell all that is produced of either component. Part A requires two hours of assembly, and B requires five hours of assembly. The firm has 200 assembly hours per week.

Required:

1. Express the objective of maximizing the total contribution margin subject to the assembly-hour constraint.

Objective function: Max Z = $200 A + $400 B

Subject to:   A +   B ?  

2. Identify the optimal amount that should be produced of each machine part. If none of the components should be produced, enter "0" for your answer.

Identify the total contribution margin associated with this mix.
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3. What if market conditions are such that Patz can sell at most 50 units of Part A and 40 units of Part B? Express the objective function with its associated constraints for this case.

Objective function: Max Z = $200 A + $400 B

Identify the optimal mix and its associated total contribution margin.
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Consider the following set of ordered pairs.

​a) Calculate the slope and​ y-intercept for these data.

​b) Calculate the total sum of squares​ (SST).

​c) Partition the sum of squares into the SSR and SSE.

9. How much interest is earned in 6 years on $8800 deposited in an account paying 7% interest, compounded semiannually? (Round your answer to two decimal places.)

10.$15,000 is deposited for 8 years in an account earning 6% interest. (Round your answers to two decimal places.)

(a) Calculate the future value of the investment if interest is compounded semiannually.
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(b) Calculate the future value if interest is compounded quarterly.
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(c) How much greater is the future value of the investment when the interest is compounded quarterly?
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11.An amount of $1100 is deposited for 7 years in an account that earns 6% interest. (Round your answers to two decimal places.)

(a) Calculate the simple interest earned.
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(b) Calculate the interest earned if interest is compounded daily.
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(c) How much more interest is earned on the account when the interest is compounded daily?
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12.You borrow $8000 to help pay your college expenses. You agree to repay the loan at the end of 7 years at 10% interest, compounded monthly. (Round your answers to two decimal places.)

(a) What is the maturity value of the loan?
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(b) How much interest are you paying on the loan?
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13.A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born in order to have $36,000 when the child reaches the age of 18? Assume the money earns 5% interest, compounded monthly. (Round your answer to two decimal places.)
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14.Suppose your salary in 2020 is $70,000. Assuming an annual inflation rate of 8%, what salary do you need to earn in 2027 in order to have the same purchasing power? (Round your answer to two decimal places.)

Conroe Inc. makes deep sea two-stage submersible pods for oceanic deep sea exploration and it costs Conroe, Inc. $44 per part to make 1,000 parts each month and each part can be sold for $69. Or Conroe could process the parts into a more intricately designed product, which would cost $38 more per part. The more intricately designed product could be sold for $103 per item. If the more intricately designed product was completed how would income be affected?

1. Profit would increase by $4,000.
2. Profit would increase by $34,000.
3. Profit would decrease by $4,000.
4. Profit would decrease by $34,000.

Spygate makes far outer space exploratory rockets and has planned production for the next few months as follows: July 6,400 rockets, August 8,100 rockets, September 9,000 rockets. Monthly manufacturing MOH is budgeted to be $32,000 plus $6 per unit produced. What is budgeted manufacturing MOH for August?

1. $80,600
2. $32,000
3. $48,600
4. $86,000

Red Rover makes re-usable microbe testing pods that are transportable and has forecast sales to be $134,000 in February, $144,000 in March, $159,000 in April, and $149,000 in May. The average cost of goods sold (COGS) is 70% of sales. All sales are made on credit and are collected 60% in the month of sale, and 40% the month following. What are forecasted cash receipts in April?
1. $112,000
2. $150,000
3. $159,000
​​​​​​​4. $153,000

Slippy makes re-usable microbe testing pods that are transportable and has planned sales of be $209,000 in February, $276,000 in March, $293,000 in April, and $313,000 in May. The average cost of goods sold (COGS) is 70% of sales. All sales are made on credit and sales are anticipated to be collected 50% in the month of sale, 40% the month following and the remainder two months after the sale. What are planned cash receipts in May?

1. $172,050
2. $301,300
3. $252,300
​​​​​​​4. $184,800

In this problem, p is in dollars and x is the number of units.

Find the producer's surplus for a product if its demand function is

p = 144 − x² and its supply function is p = x² + 12x + 130.

(Round your answer to two decimal places.)

In this problem, p is in dollars and x is the number of units.

The demand function for a certain product is

p = 123 − 2x²

and the supply function is

p = x² + 33x + 36.

Find the producer's surplus at the equilibrium point. (Round x and p to two decimal places. Round your answer to the nearest cent.)
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