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Flura [38]
3 years ago
7

A scientist needs 80 liters of a 30% solution of alcohol. She has a 20% solution and a 60% solution available. How many liters o

f the 20% solution and how many liters of the 60% solution should she mix to make the 30% solution?
Business
1 answer:
lana [24]3 years ago
8 0
80 times .30= .20x +.60(80-x)
24=.20x+48-.60x
Subtract 48 from both sides
-24=-.40x
Divide both sides by-.40
X= 60
60 liters of 20%
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Maria is a hard-working college sophomore. One Sunday, she decides to work nonstop until she has answered 100 practice problems
sdas [7]

Answer:

The correct answers are:

i. The marginal, or additional, gain from Maria’s first hour of work, from 8:00 AM to 9:00 AM, is <u>  40  </u> problems.

ii. The marginal gain from Maria’s third hour of work, from 10:00 AM to 11:00 AM, is <u>   20   </u> problems

iii. 2 hours working on problems, 2 hours reading (c)

Explanation:

i. The marginal gain from 8:00 AM to 9:00 AM is calculated thus:

work done at 8:00 AM = 0 problems

Work done at 9:00 AM = 40 problems

Marginal gain = (Work done at 9:00 AM) - (work done at 8:00) = 40 - 0 = 40 problems

ii. work done at 10:00 AM = 70 problems

work done at 11:00 AM = 90 problems

Marginal gain = 90 - 70 = 20 problems

iii. To get the best exam score, the most number of problems possible in total must be answered within the 4-hour period, and this is determined as follows:

we are told that Maria gets tired as time progresses and the number of questions answered reduces we notice the following numbers of questions answered in each hour:

8:00 AM to 9:00 AM = 40 - 0 = 40 problems (hour 1)

9:00 AM to 10:00 AM = 70 - 40 = 30 problems (hour 2)

10:00 AM to 11:00 AM = 90 - 70 = 20 problems (hour 3)

11:00 AM to Noon = 100 - 90 = 10 problems (hour 4)

Also, we are told that;

1 hour of reading = 25 problems

Comparing the reading and solving problems, we see that the number of problems solved in hour-1 and hour-2  (40 and 30 respectively) are more than the equivalent number of problems solved in reading for 1 hour, while hour-3 and hour-4 (20 and 10 respectively), have lesser equivalent number of problems each, than reading for one hour. Therefore to make the most out of the 4 hours, Maria will spend the first 2 hours solving problems and the next two hours reading, giving a total of: 40 + 30 + 25 + 25 = 120 problems solved.

4 0
3 years ago
A 30-year zero coupon bond with a face value of $5,000 is currently selling for $1,156.88 and has a market rate of interest of 5
daser333 [38]

Answer:

Price will increase by $277.58

Explanation:

Market rate of Interest of a zero coupon bond can be determined by following formula

Market Rate of Interest = [ ( F / P )^(1/30) ] - 1

4.25% = [ ( $5000 / P )^(1/30) ] - 1

0.0425 + 1 = ( $5000 / P )^1/30

( 1.0425 )^30 = (( $5000 / P )^1/30)^30

3.4856 = $5000 / P

P = $5,000 / 3.4856

P = $1,434.46

Now Calculate the change in Price

Change in price = $1,434.46 - $1,156.88 = $277.58

Price will increase by $277.58

5 0
3 years ago
One of the most important features of the franchise contract is the provision related to
DanielleElmas [232]
The right answer for the question that is being asked and shown above is that: "a. the sale or transfer of the franchise to a government entity." One of the most important features of the franchise contract is the provision related to <span>a. the sale or transfer of the franchise to a government entity.</span>
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3 years ago
This type of managerial planning often involves asking the questions of who, what, where, why and how.
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Political Frame is a management style entailing those features.  This answer is needlessly verbose by site requirement.
4 0
3 years ago
The accounting department of your company has just delivered a draft of the current year's financial statements to you. The summ
marishachu [46]

Answer and Explanation:

The computation is shown below:-

Incorrect

ROA = Net Income ÷ Average assets

= $101,900 ÷ (($550,000 + $573,000) ÷ 2)

= $101,900 ÷ $561,500

= 0.18

ROE = Net Income ÷ Average equity

= $101,900 ÷ (($340,000 + 356,000) ÷ 2)

= $101,900 ÷ $348,000

= 0.29

Debt Ratio = Total debt ÷ Average Assets

= $217,000 ÷ (($550,000 + $573,000) ÷ 2)

= $217,000 ÷ $561,500

= 0.39

EPS = Net Income ÷ Number of Common Shares

= $101,900 ÷ 22,000

= $4.63

Correct

ROA = Net Income ÷ Average assets

= ($101,900 - $8,500) ÷ (($550,000 + $573,000 - $8,500) ÷ 2)

= $93,400 ÷ $557,250

= 0.17

ROE = Net Income ÷ Average equity

= ($101,900 - $8,500) ÷ (($340,000 + 356,000 - $8,500) ÷ 2)

= $93,400 ÷ $343,750

= 0.27

Debt Ratio = Total debt ÷ Average Assets

= $217,000 ÷ (($550,000 + $573,000 - $8,500) ÷ 2)

= $217,000 ÷ $276,500

= 0.78

EPS = Net Income ÷ Number of Common Shares

= ($101,900 - $8,500) ÷ 22,000

= $4.25

5 0
3 years ago
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