The money invested in stock X is $8,800.
Given,
Total investment in stock portfolio=$10000
Expected return from stock X=13%=0.13
Expected return from stock Y=8%=0.08
Expected return from portfolio=12.4%=0.124
The portfolio return is calculated by taking the weighted average of individual stock returns.
Let x represent the portfolio weightage of stock X.
1-x is the portfolio weightage of stock Y.
money invested in stock X be
0.124=0.13x+0.08(1-x)
0.124=0.13x+0.08-0.08x
0.124-0.08=0.05x
0.044=0.05x
x=0.88
money invested in stock X=0.88*10000=$8800
Thus, the money invested in stock X is $8,800.
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Answer:
- 100
- 489.190
- 10,000
- 48,919,000
Step-by-step explanation:
Each factor of 10 in the divisor causes the decimal point to move 1 place to the left.
a) The decimal point has moved 2 places to the left. The divisor is 10^2 = 100.
b) The divisor is 10^3, so the decimal point will move 3 places to the left.
489.190
c) The decimal point has moved 4 places to the left, so the divisor is 10^4 = 10,000.
d) The divisor is 10^5, so the decimal point in the quotient if 5 places to the left of where it is in the dividend. Moving the quotient's decimal point 5 places to the right gives ...
48,919,000
_____
<em>Additional comment</em>
An exponent signifies repeated multiplication. Here, we're concerned with repeatedly multiplying (or dividing) by factors of 10. The exponent indicates the number of factors: 10·10 = 10^2 = 100. It also matches the number of zeros following the 1 in the product. 1000 = 10^3 has 3 zeros after the 1, for example.
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Answer:
the answer for apex is shift
Step-by-step explanation:
The statement is false, as the system can have no solutions or infinite solutions.
<h3>
Is the statement true or false?</h3>
The statement says that a system of linear equations with 3 variables and 3 equations has one solution.
If the variables are x, y, and z, then the system can be written as:
Now, the statement is clearly false. Suppose that we have:
Then we have 3 parallel equations. Parallel equations never do intercept, then this system has no solutions.
Then there are systems of 3 variables with 3 equations where there are no solutions, so the statement is false.
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