8.33333333. You know you can use a calculator.
Answer:
A. (2i)(8) = d. 16i
B. 16i³ = b. -16i
C. (2i)⁴ = a. 16
D. (2i)(8i) = c. -16
Step-by-step explanation:
A. Multiply 2i by 8 to get 16i, which corresponds to d.
B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.
C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.
D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.
Answer:
1) 20 stars; 30 points.
2) 28 stars, 42 points.
3) 38 stars, 57 points.
Step-by-step explanation:
<h3>
The missing table is attached.</h3>
Let be "x" the numbers of stars Roberto collects and "y" his total points.
The proportional relationship has this form:
Where "k" is the constant of proportionality.
We can choose the point 
) from the table, where:
Substituting these values into and solving for "k", we get:
Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:
1) For 
:
2) For 
:
3) For 
:
A stock portfolio's overall beta is found by multiplying each stock's beta times the percentage of the overall portfolio it makes up and adding these terms together. Since the current portfolio's beta is known, we can treat all the stocks in the portfolio as a single stock for calculating its weight in the new portfolio. Thus, our new portfolio will have a value of $150,000, $100,000, or 2/3, of which has a beta of 1.5 and $50,000, or 1/3, of which has a beta of 3. Then the beta of the new portfolio will be 1.5*(2/3) + 3*(1/3) = 2.
