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Tema [17]
3 years ago
9

What is the expected value of an original Investment of $3,000 that has a 10% chance of ending up with a value of $2,000, an 80%

chance of ending up with a value of $3,500, and a 10% chance of ending up with a value of $4,000?
A $6,000

B. $3,500

C $3,400

D. $3,250

E $3,000
Mathematics
1 answer:
Sloan [31]3 years ago
3 0

Answer:

Option C.

Step-by-step explanation:

The original value of  Investment = $3,000

It has a 10% chance of ending up with a value of $2,000.

Chances of loss of $1000 = 0.1

It has a 80% chance of ending up with a value of $3,500.

Chances of profit of $500 = 0.8

It has a 10% chance of ending up with a value of $4,000.

Chances of profit of $1000 = 0.1

Expected change in the value of investment is

Change=(-\$1000)(0.1)+(\$500)(0.8)+(\$1000)(0.1)

Change=-\$100+\$400+\$100

Change=\$400

The expected change in the value of the investment is $400.

The expected value of an original Investment of $3,000 is

\$3000+\$400=\$3400

Therefore, the correct option is C.

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Stefan sells Jim a bicycle for $175 and a helmet for $17. The total cost for Jim is 160% of what Stefan spent originally to buy
Nady [450]

Answer:

Stefan spend $120 originally.

Stefan made $72 by selling bicycle and helmet to Jim.

Step-by-step explanation:

Given:

Cost of bicycle = $175

Cost of Helmet = $17

Percent of total cost of Jim = 160% of original cost of Stefan

We need to find the Amount Stefan spend originally and money he made by selling the bicycle and helmet to Jim.

Solution:

Let the Amount Stefan spend originally be 'x'.

Total Cost of Jim is equal to sum of Cost of bicycle and Cost of Helmet.

framing in equation form we get;

Total Cost of Jim = 175+17 =\$192

Now we know that;

Total Cost of Jim is equal to 160% of  Amount Stefan spend originally.

framing in equation form we get;

192 = \frac{160}{100}\times x\\\\192 =1.6x

Dividing both side by 1.6 we get;

\frac{192}{1.6}=\frac{1.6x}{1.6}\\\\x= \$120

Hence Stefan spend $120 originally.

Now we can say that;

Money Stefan made is equal to Money Stefan spend originally minus Total Cost of Jim.

framing in equation form we get;

Money Stefan made = 192-120 =\$72

Hence Stefan made $72 by selling bicycle and helmet to Jim.

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