) The air in a room with volume 210m3 contains 0.2% carbon dioxide by volume initially. Fresher air with only 0.1% carbon dioxide flows into the room at the rate of 3m3/min and the mixed air flows out at the same rate. Find the percentage of carbon dioxide in the room as a function of time. What is the percentage of carbon dioxide in the room at the end of 30 minutes? What happens in the long run(that is what happens to your function when time t goes to infinity)?

A genetic experiment with peas resulted in one sample of offspring that consisted of

417

green peas and

159

yellow peas.a. Construct a

95​%

confidence interval to estimate of the percentage of yellow peas.

b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

a. Construct a

95​%

confidence interval. Express the percentages in decimal form.

less than<pless than<

​(Round to three decimal places a

5) a) Consider a 20-year 6 percent coupon bond.

i) What is the price of this bond if the market yield is 8%?

ii) What is the percentage change in the price of this bond if the market yield rises to 9%?

b) Consider a 20-year 7 percent coupon bond.

iii) What is the price of this bond if the market yield is 8%?

iv) What is the percentage change in the price of this bond if the market yield rises to 9%?

c) What is Theorem 5?

Margin of Safety

a. If Canace Company, with a break-even point at $203,500 of sales, has actual sales of $370,000, what is the margin of safety expressed (1) in dollars and (2) as a percentage of sales? Round the percentage to the nearest whole number.

1. $

2.   %

b. If the margin of safety for Canace Company was 20%, fixed costs were $1,059,200, and variable costswere 80% of sales, what was the amount of actual sales (dollars)?
(Hint: Determine the break-even in sales dollars first.)

A publisher reports that 58% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 350 found that 51% of the readers owned a particular make of car. Is there sufficient evidence at the 0.05 level to support the executive's claim?

Step 1 of 6: State the null and alternative hypotheses.

T value

p value

one tail or two tail

sufficient or not

significance level

If Canace Company, with a break-even point at $402,000 of sales, has actual sales of $600,000, what is the margin of safety expressed (1) in dollars and (2) as a percentage of sales? Round the percentage to the nearest whole number. 1. $ 2. % b. If the margin of safety for Canace Company was 40%, fixed costs were $1,735,200, and variable costs were 60% of sales, what was the amount of actual sales (dollars)? (Hint: Determine the break-even in sales dollars first.) $

Refer to Eli Lilly’s 2012 annual report to answer the following questions. The 2012 annual report of Eli Lilly & Company can be found here: http://www.sec.gov/Archives/edgar/data/59478/000005947813000007/lly-20121231x10k.htm

How much of the 2012 accounts receivable balance does the company expect to collect?

What is the percentage of “other receivables” to total current assets at the end of 2012? Round to the nearest whole percentage.

What is included in the “other receivables” balance?

A mixture of LiAlH4 and LiCl weighs 7.51 g. LiAlH4 reacts exothermically with ethanol according to the following equation LiAlH4(s) + 4CH3CH2OH(l) → Li[Al(OC2H5)4](s) + 4H2

14.48 g of Li[Al(OC2H5)4] is formed when this sample is dissolved in CH3CH2OH, what percentage of the original sample is LiAlH4, also what percentage is LiCl? Assuming LiAlH4 is completely turned into Li[Al(OC2H5)4] and LiCl dissolves in ethanol