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zhannawk [14.2K]
3 years ago
8

How many liters of water must Sharon add to 2 liters of a sugar and water solution that is 36% sugar to create a solution that i

s 12% sugar?
Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

The amount of sugar x in the starting solution contributes to a 36% concentration, so we have

\dfrac x2=0.36\implies x=0.64

units of sugar in the solution.

Into this solution, Sharon wants to pour y liters of water to obtain a smaller concentration of sugar in the overall solution:

\dfrac{0.64}{2+y}=0.12\implies\dfrac{16}3=2+y\implies y=\dfrac{10}3\approx3.33

So Sharon needs to add \dfrac{10}3 liters of water to the solution to get the desired concentration.

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By using an excel spreadsheet and IRR function, the cross over rate = 14.85%

Year           Cash Flow (A)           Cash Flow (B)

0                    -58,000                   -58,000

1                      34,000                     21,200

2                     28,000                     25,200

3                     20,000                     30,000

4                      13,600                     25,200

<h3>What is the IRR for each of these projects?</h3>

using an excel spreadsheet and the IRR function:

Project A's IRR = 28.3%

Project B's IRR = 25.7%

(b) If you apply the IRR decision rule, which project should the company accept?

Project A (its IRR is higher)

Requirement 2:

(a) Assume the required return is 14 percent. What is the NPV for each of these projects?

using an excel spreadsheet and the NPV function:

Project A's NPV = $14,921.37

Project B's NPV = $15,156.64

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Project B (its NPV is higher)

Requirement 3:

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(c) At what discount rate would you be indifferent between these two projects?

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Year           Cash Flow (A)           Cash Flow (B)       differential amount

0                    -58,000                   -58,000                       $0

1                      34,000                     21,200                     $12,800

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3                     20,000                     30,000                  -$10,000

4                      13,600                     25,200                   -$11,600

using an excel spreadsheet and IRR function, the cross over rate = 14.85%

To know more about IRR function follow

brainly.com/question/24765495

#SPJ4

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