Questions
A steering mirror for a telescope has a maximum angular acceleration of 100 rad/sec^2 and hard...

A steering mirror for a telescope has a maximum angular acceleration of 100 rad/sec^2 and hard stops at +/- 30 the software controlling it runs at 200 hz. If the mirror hits the hard stop at faster than 15 rad/sec, it can damage the hard stops. To prevent this, a “soft stop” is implemented in its software.

What is the largest value the soft stop can be set at that will ensure no damage is done to the hard stops in the event that the controller goes unstable and starts commanding the maximum acceleration? If the sample rate is increased to 500 Hz “, how close to the hardstops can the soft stops be safely set?

Provide answers in degrees to 4 significant figures.

In: Physics

Candice operates an ice cream parlor in a small town in Tristate area. She knows that...

Candice operates an ice cream parlor in a small town in Tristate area. She knows that this a monopolistically competitive business because other producers in the area supply different flavors of ice cream. Candice runs her business as efficiently as possible, to maximize her profits. This year, Candice charges $5 per ice cream and experiences marginal cost of $3 and average total cost of $4 per ice cream at the optimal level of output. Does Candice have profits in short term (this year)? Can you predict how ice cream market conditions for Candice will be changing in the near future? What will be Candice's profit in the long-run?

In: Economics

Problem 9-5A Calculating depreciation—partial periods LO2, 3 West Coast Tours runs boat tours along the west...

Problem 9-5A Calculating depreciation—partial periods LO2, 3

West Coast Tours runs boat tours along the west coast of British Columbia. On March 5, 2020, it purchased, with cash, a cruising boat for $936,000, having a useful life of 10 years or 13,800 hours, with a residual value of $246,000. The company’s year-end is December 31.

Required:
Calculate depreciation expense for the fiscal years 2020, 2021, and 2022 by completing a schedule. (Note: Depreciation is calculated to the nearest month. Assume actual hours of service were: 2020, 900; 2021, 1,960; 2022, 1,715.)
Depreciation MethodYearStraight-LineDouble-Declining BalanceUnits-of-Production202020212022

In: Accounting

Jamie runs an Android app business. She has production function f(x1,x2) = x11/3 x21/4. The price...

Jamie runs an Android app business. She has production function f(x1,x2) =

x11/3 x21/4. The price of factor 1 is w1 = 2, the price of factor 2 is w2 = 3, and the price of the output is 12.

  1. Does this production function exhibit increasing, decreasing, or constant return to scale?

  2. Write out the short-run profit maximization problem with x̄2 = 81.

  3. Solve the short-run profit maximization problem by showing all the important

    steps.

  4. Find the short-run production level that maximizes the profit.

  5. Write out the long-run profit maximization problem.

  6. Solve the long-run profit maximization problem.

In: Economics

Math SAT scores (Y) are normally distributed with a mean of 1500 and a standard deviation...

Math SAT scores (Y) are normally distributed with a mean of 1500 and a standard deviation of 140. An evening school advertises that it can improve students' scores by roughly a third of a standard deviation, or 30 points, if they attend a course which runs over several weeks. (A similar claim is made for attending a verbal SAT course.) The statistician for a consumer protection agency suspects that the courses are not effective. She views the situation as follows: H0 : = 1500 vs. H1 : = 1460.

Assume that after graduating from the course, the 420 participants take the SAT test and score an average of 1450. Is this convincing evidence that the school has fallen short of its claim at 2.5% level?

In: Accounting

11.A student was given a sample of crude salicylic acid to recrystallize. The initial mass of...

11.A student was given a sample of crude salicylic acid to recrystallize. The initial mass of the the crude acid was 161 mg. The mass after recrystallization was 121 mg. Calculate the percent recovery from recrystallization.

2.A student measures out exactly 0.109 g of salicylic acid and runs the experiment as dictated in the lab manual. They obtain 0.119 g of aspirin. What is the percent yield for their reaction

3.If 91.0 g of oxalic acid and 79.0 g of methanol react to form 89.0 g of dimethyl oxalate, what is the percent yield?(Molar mass of oxalic acid=90.04g/mol,MM of methanol=32.04,MM of dimethyl oxalate=118.1,MM of water=18.02)

In: Chemistry

posting for sec times no incomplete works complete all parts i'll rate Your friend, another accountant,...

posting for sec times no incomplete works complete all parts i'll rate

Your friend, another accountant, has bet you that with your knowledge of accounting and just the computations for common analytical measures, you can figure out many aspects of a company's financial statements. You take the bet!

Match each computation to one of the liquidity and solvency measures in the table. (Hint: Begin by looking for simple computations and identifying the amounts in those computations. Look for other measures that use those amounts.)

Liquidity and Solvency Measures Computations
Working capital $3,093,000 – $840,000
Accounts receivable turnover ($983,100 + $127,000) ÷ $127,000
Quick ratio [($1,072,000 + $1,100,000) ÷ 2] ÷ ($4,100,000 ÷ 365)
Ratio of fixed assets to long-term liabilities $8,270,000 ÷ [($714,000 + $740,000) ÷ 2]
Current ratio $2,530,000 ÷ $4,077,000
Inventory turnover $3,093,000 ÷ $840,000
Times interest earned [($1,072,000 + $1,100,000) ÷ 2] ÷ ($4,100,000 ÷ 365)
Number  of days' sales in receivables $2,690,000 ÷ $1,690,000
Ratio of liabilities to stockholders' equity $8,270,000 ÷ [($714,000 + $740,000) ÷ 2]
Number of days' sales in inventory $4,100,000 ÷ [($1,072,000 + $1,100,000) ÷ 2]

Points:

1 / 10

Feedback

Check My Work

Look for patterns in the computations and match them to ratios that are related to each other. Identify the amounts in the computations and consider how they are related to amounts in other computations.

Balance Sheet

Shaded cells have feedback.

Use the following balance sheet form to enter amounts you identify from the computations on the Liquidity and Solvency Measures panel. You will identify other amounts for the balance sheet on the Profitability Measures panel. If you have a choice of two amounts, assume the first amount in the ratio is for the end of the year. Compute any missing amounts.

Score: 42/64

Balance Sheet

December 31, 20Y6

1

Assets

2

Current assets:

3

Cash

$823,000.00

4

Marketable securities

?

5

Accounts receivable (net)

?

6

Inventory

?

7

Prepaid expenses

8

Total current assets

9

Long-term investments

?

10

Property, plant, and equipment (net)

?

11

Total assets

12

Liabilities

13

Current liabilities

?

14

Long-term liabilities

?

15

Total liabilities

16

Stockholders’ Equity

17

Preferred stock, $10 par

?

18

Common stock, $5 par

?

19

Retained earnings

20

Total stockholders’ equity

21

Total liabilities and stockholders’ equity

Points:

10.5 / 16

Profitability Measures

Shaded cells have feedback.

Match each computation to one of the profitability measures in the table.

Profitability Measures Computations
Asset turnover $796,380 ÷ [($4,077,000 + $3,873,150) ÷ 2]
Return on total assets ($796,380 + $127,000) ÷ [($6,607,000 + $6,417,000) ÷ 2]
Return on stockholders’ equity $796,380 ÷ [($4,077,000 + $3,873,150) ÷ 2]
Return on common stockholders’ equity ($796,380 + $127,000) ÷ [($6,607,000 + $6,417,000) ÷ 2]
Earnings per share on common stock $35 ÷ $3.05
Price-earnings ratio $175,000 ÷ 250,000 shares
Dividends per share $175,000 ÷ 250,000 shares
Dividend yield $0.70 ÷ $35

Points:

4 / 8

Feedback

Check My Work

Two of the computations use shares.

Comparative Income Statement

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Use the following comparative income statement form to enter amounts you identify from the computations on the Liquidity and Solvency Measures panel and on the Profitability Measures panel. Compute any missing amounts and complete the horizontal analysis columns. Enter percentages as decimal amounts, rounded to one decimal place. When rounding, look only at the figure to the right of one decimal place. If < 5, round down and if ? 5, round up. For example, for 32.048% enter 32.0%. For 32.058% enter 32.1%.

Score: 53/128

Comparative Income Statement

For the Years Ended December 31, 20Y6 and 20Y5

1

20Y6

20Y5

Amount Increase (Decrease)

Percentage Increase (Decrease)

2

Sales

$7,277,000.00

?

3

Cost of goods sold

?

3,444,000.00

?

4

Gross profit

$3,833,000.00

?

5

Selling expenses

$1,455,400.00

6

Administrative expenses

1,240,500.00

1,104,500.00

?

?

7

Total operating expenses

$2,559,900.00

8

Income from operations

$1,273,100.00

9

Interest expense

?

120,600.00

?

?

10

Income before income tax

$1,152,500.00

11

Income tax expense

180,720.00

12

Net income

$971,780.00

Points:

13.25 / 32

Final Questions

Shaded cells have feedback.

Your accountant friend reveals that the company whose information you have been working on is actually a company he is thinking of investing in. What advice and insight do you have for your friend?

Using only the information from your horizontal analysis of the comparative income statement, complete the following sentences.

Net income has decreased significantly from 20Y5 to 20Y6, even though cost of goods sold has increased. However, cost of goods sold has also not changed , which slowed the increase in interest expense . In addition, interest expense has increased at a faster rate. The company appears to be taking the right steps .

Points:

2 / 7

Based on these observations, do you recommend that your friend invest in this company’s stock? Yes

In: Finance

CURRENT YIELD, CAPITAL GAINS YIELD, AND YIELD TO MATURITY Hooper Printing Inc. has bonds outstanding with...

CURRENT YIELD, CAPITAL GAINS YIELD, AND YIELD TO MATURITY Hooper Printing Inc. has bonds outstanding with 9 years left to maturity. The bonds have an 8% annual coupon rate and were issued 1 year ago at their par value of $1,000. However, due to changes in interest rates, the bond’s market price has fallen to $901 40. The capital gains yield last year was −9 86%.

A. What is the yield to maturity?

B. For the coming year, what are the expected current and capital gains yields? (Hint:
Refer to footnote 7 for the definition of the current yield and to Table 7.1.)

C. Will the actual realized yields be equal to the expected yields if interest rates change? If
not, how will they differ?

In: Finance

The invasive diatom species Didymosphenia geminata has the potential to inflict substantial ecological and economic damage...

The invasive diatom species Didymosphenia geminata has the potential to inflict substantial ecological and economic damage in rivers. An article described an investigation of colonization behavior. One aspect of particular interest was whether y = colony density was related to x = rock surface area. The article contained a scatterplot and summary of a regression analysis. Here is representative data.

x 50 71 55 50 33 58 79 26
y 164 1941 60 34 14 17 47 19
x 69 44 37 70 20 45 49
y 281 50 183 25 55 197 37

(a) Fit the simple linear regression model to this data. (Round your numerical values to three decimal places.)

y =

(b) Calculate the coefficient of determination. (Round your answer to three decimal places.)

(c) The second observation has a very extreme y value (in the full data set consisting of 72 observations, there were two of these). This observation may have had a substantial impact on the fit of the model and subsequent conclusions. Eliminate it and recalculate the equation of the estimated regression line. (Round your values to three decimal places.)

y =



Predict colony density when surface area = 70 and calculate the corresponding residual. (Round your answers to the nearest whole number.)

colony density    
corresponding residual    


Predict colony density when surface area = 71 and calculate the corresponding residual. (Round your answers to the nearest whole number.

colony density    
corresponding residual    

In: Statistics and Probability

Let x be a random variable that represents the percentage of successful free throws a professional...

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.

x 67 64 75 86 73 73
y 44 40 48 51 44 51

(a) Verify that Σx=438, Σy=278, Σx2=32,264, Σy2=12,978, and Σxy=20,429. Find r. (Round r to three decimal places.)

Σx =
Σy =
Σx2 =
Σy2 =
Σxy =
r =


(c) Find a, b, and x. (Round your answers to four decimal places.)

a =
b =
x =


(d) Find the predicted percentage ŷ of successful field goals for a player with x = 80% successful free throws. (Round your answer to two decimal places.)
%

(f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.) Hint 1: The standard error of b is 0.172428. Hint 2: Your answers to the t and critical t should have the same sign.

t =
critical t =


Conclusion

Reject the null hypothesis, there is sufficient evidence that β > 0.

Reject the null hypothesis, there is insufficient evidence that β > 0.

Fail to reject the null hypothesis, there is insufficient evidence that β > 0.

Fail to reject the null hypothesis, there is sufficient evidence that β > 0.

In: Statistics and Probability