Find the area of the shaded region in the circle at right.

Kirstin knows that the initial fee for adopting a dog from the animal shelter is $75. This fee needs to be considered when calcu

irina [24]

Answer:

The function is represented by $C(d) = 75\,USD + r\cdot d$ .

Step-by-step explanation:

In this case, we must observe that total cost of the dog ( $C(d)$ ) is the sum of two components: i) Fixed cost ( $C_{f}$ ) - Adoption fee, ii) Variable cost ( $C_{v}$ ) - Daily cost of feeding the dog, both measured in US dollars.

In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:

$C (d) = C_{f} + C_{v}$

$C(d) = C_{f} + r\cdot d$

Where:

$d$ - Number of days that Kirstin owns her dog, measured in days.

$r$ - Daily feeding costs, measured in US dollars per day.

If $C_{f} = 75\,USD$ , then:

$C(d) = 75\,USD + r\cdot d$

The function is represented by $C(d) = 75\,USD + r\cdot d$ .

8 0

3 years ago

2 tenths in standard form

ioda

Answer:

.2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

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

3 years ago

How do you simplify 4/^3√4

OlgaM077 [116]

$\dfrac{4}{\sqrt[3]{4}}=\dfrac{4\cdot\sqrt[3]2}{\sqrt[3]{4}\cdot\sqrt[3]2}=\dfrac{4\sqrt[3]2}{\sqrt[3]{4\cdot2}}=\dfrac{4\sqrt[3]2}{\sqrt[3]8}=\dfrac{4\sqrt[3]2}{2}=2\sqrt[3]2$