Table 1

Using your data, create a scatter plot for r, r², and 1/r². Your graphs must have the axes labeled correctly and a trendline.

Paste your graphs bellow:

Finally, use your graphs to create a mathematical formula that describes the interaction between any 2 charges.

Data Analysis

If you look closely at your equation, you will see that the units on the left hand side of the equation are not the same as the units on the right hand side. Use the information from your graph to correct this.

A little help here. The mathematical statement you have created is a proportion. In our case, it should be two proportions. So, you need to find a constant of proportionality to make your equation complete. Find this constant and use it resolve the unit issue.

The constant is the Electrical constant k. Its’ value is listed in your text. Use your graphs to support or refute the following statement.

“The force experienced by 2 individual point charges is proportional to the product of those charges and inversely proportional to the distance between them squared.”

Consider the following gasoline sales time series data. Click on the datafile logo to reference the data.

a. Using a weight of 1/2 for the most recent observation, 1/3 for the second most recent observation, and 1/6 third the most recent observation, compute a three-week weighted moving average for the time series (to 2 decimals). Enter negative values as negative numbers.

b. Compute the MSE for the weighted moving average in part (a).
MSE =

Do you prefer this weighted moving average to the unweighted moving average? Remember that the MSE for the unweighted moving average is 9.19 .
Prefer the unweighted moving average here; it has a - Select your answer -(greatersmallerItem) MSE.

c. Suppose you are allowed to choose any weights as long as they sum to 1. Could you always find a set of weights that would make the MSE at least as small for a weighted moving average than for an unweighted moving average?
- Select your answer -(YesNoItem)

Consider the following gasoline sales time series data. Click on the datafile logo to reference the data.

a. Using a weight of 1/2 for the most recent observation, 1/3 for the second most recent observation, and 1/6 third the most recent observation, compute a three-week weighted moving average for the time series (to 2 decimals). Enter negative values as negative numbers.

b. Compute the MSE for the weighted moving average in part (a).
MSE =

Do you prefer this weighted moving average to the unweighted moving average? Remember that the MSE for the unweighted moving average is 13.69.
Prefer the unweighted moving average here; it has a (greater/smaller) MSE.

c. Suppose you are allowed to choose any weights as long as they sum to 1. Could you always find a set of weights that would make the MSE at least as small for a weighted moving average than for an unweighted moving average?
(Yes/No)

Suppose a competitive firm's total cost function is TC = 3Q³−30Q²+275Q+400  

1. (1 pt) Find the Average Total Cost (ATC), Average Variable Cost (AVC), and Marginal Cost (MC) functions.

2. (2 pts) Determine the shut-down price? Show your work.

3. (1 pt) If the price of output is $150, how much will the firm produce? Explain your reasoning.

4. (1 pt) If the price of output is $275, how much will the firm produce? Explain your reasoning.

Exercise 13-1 Payback Method [LO13-1]

The management of Unter Corporation, an architectural design firm, is considering an investment with the following cash flows:

Required:

1. Determine the payback period of the investment.

2. Would the payback period be affected if the cash inflow in the last year were several times as large?

3. Consider the following semiannual bond: Coupon rate = 6.5% Maturity = 20 years Par value = $1,000 Market price = $1,035 Can be called in 8 years at $1,032.5 Can be called in 15 years at par Only put date in 8 years and putable at par value (1) What is the yield to maturity for this bond? (1 point) (2) What is the yield to first call? (1 point) (3) What is the yield to second call? (1 point) (4) What is the yield to worst for this bond? (2 points)

Cook Farm Supply Company manufactures and sells a pesticide called Snare. The following data are available for preparing budgets for Snare for the first 2 quarters of 2017.

Your assistant has prepared two budgets: (1) the manufacturing overhead budget shows expected costs to be 125% of direct labor cost, and (2) the direct materials budget for Tarr shows the cost of Tarr purchases to be $301,000 in quarter 1 and $427,500 in quarter 2.

Requirements

Prepare a sales Budget, production budget, direct material budget, direct labor budget, manufacturing overhead budget, selling and administrative budget, and income statement budget for the 2 quarters of 2017.

Capital Rationing Decision for a Service Company Involving Four Proposals

Renaissance Capital Group is considering allocating a limited amount of capital investment funds among four proposals. The amount of proposed investment, estimated income from operations, and net cash flow for each proposal are as follows:

The company's capital rationing policy requires a maximum cash payback period of three years. In addition, a minimum average rate of return of 12% is required on all projects. If the preceding standards are met, the net present value method and present value indexes are used to rank the remaining proposals.

Required:

1. Compute the cash payback period for each of the four proposals.

2. Giving effect to straight-line depreciation on the investments and assuming no estimated residual value, compute the average rate of return for each of the four proposals. If required, round your answers to one decimal place.

3. Using the following format, summarize the results of your computations in parts (1) and (2) by placing the calculated amounts in the first two columns on the left and indicate which proposals should be accepted for further analysis and which should be rejected. If required, round your answers to one decimal place.

4. For the proposals accepted for further analysis in part (3), compute the net present value. Use a rate of 15% and the present value of $1 table above. Round to the nearest dollar.

Note: Select the proposals in alphabetic order.

4. Where are steroid hormone receptors generally located and where do they bind the steroid hormone once it enters a cell?
a. They are located at the cell surface and bind steroids outside the cell
b. They are located in the cytoplasm and bind steroids in the cytoplasm
c. They are located in the cytoplasm but bind steroids within a nucleus after the steroid triggers the receptor translocation
d. They are located in the cell plasma membrane and bind steroids within the hydrophobic part of the membrane

13. Which of the following molecules or proteins are NOT commonly considered a second messenger in signal transduction cascades?
1. diacylglycerol (DAG). 2. nitric oxide (NO). 3. cyclic AMP (cAMP). 4. Sodium ions, 5. Phosphoinosotide 3-kinase (PI3K). 6. Phospholipase C
a. 1, 3 and 5
b. 2, 4 and 6
c. 4, 5 and 6
d. 1, 2 and 3
e. 2, 4 and 5

11. You are studying a human cell cycle protein commonly mutated in cancer cells. you express this protein and find that the cells start to divide faster. You decide to use this system for screen for a drug that may inhibit the activity of this protein. Of the following scenarios, which one suggests you have identified an inhibitor of the human protein?
A. You identify temperature sensitive mutations of the gene encoding the yeast ortholog of the human protein and look for cell death at the restrictive temperature in the presence of a drug
B. You identify temperature sensitive mutations of the gene encoding the yeast ortholog of the human protein and look for cell death at the restrictive temperature in the presence of a drug
C. You identify a drug that increases expression of the protein in yeast
D. You identify a drug that causes yeast cells expressing the protein to grow normally