If you plug in the radius (0.5 because the radius is half of the diameter) and the height to the formula for volume of a cylinder you will get pi•0.5 squared•15 which when solved is 11.775.

3 0

2 years ago

Find the 37th term of 352,345,338

Mariulka [41]

Answer:

$a_{37}=100$

Step-by-step explanation:

Given that,

A sequence 352,345,338.

First term = 352

Common difference = 345-352 = -7

We need to find the 37th term of the sequence.

The nth term of an AP is given by :

$a_n=a+(n-1)d\\\\a_{37}=352+36\times (-7)\\\\a_{37}=100$

So, the 37th term of the sequence is 100.

8 0

3 years ago

13. Which equation is equivalent to 8x + 4y = -24?

7nadin3 [17]

Answer:

2x + y = - 6

Step-by-step explanation:

Given

8x + 4y = - 24 ( divide each term by 4 )

2x + y = - 6 ← is an equivalent equation

4 0

2 years ago

You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. Your

Fofino [41]

Answer:

y = 0.80

Step-by-step explanation:

Given:

- The expected rate of return for risky portfolio E(r_p) = 0.18

- The T-bill rate is r_f = 0.08

Find:

Investing proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%.

What is the proportion y?

Solution:

- The proportion y is a fraction of expected risky portfolio and the left-over for the T-bill compliance. Usually we see a major proportion is for risky portfolio as follows:

E(r_c) = y*E(r_p) + (1 - y)*r_f

y*E(r_p) + (1 - y)*r_f = 0.16

- Re-arrange for proportion y:

y = ( 0.16 - r_f ) / (E(r_p) - r_f)

- Plug in values:

y = ( 0.16 - 0.08 ) / (0.18 - 0.08)

y = 0.80

- Hence, we see that 80% of the total investment budget becomes a part of risky portfolio returns.

4 0

2 years ago