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natta225 [31]
3 years ago
12

The area of a circle is 144 π cm2 what is the diameter of the circle

Mathematics
1 answer:
never [62]3 years ago
4 0

Step-by-step explanation:

Area = pi × r²

144 pi cm² = pi × r²

144 pi ÷ pi = r 2

root 144 = r

12 cm = r

diameter = 2r = 2(12) = 24 cm

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All of 5 students got a 50% on the test, what is the average
Citrus2011 [14]
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2 years ago
Find the derivative of sin2X<br>​
inn [45]

Step-by-step explanation:

Derivation using Product rule : -

To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,

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5 0
2 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.                                    

               

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3 years ago
What to do when u have improper fraction
Elina [12.6K]
Turn it into a mixed fraction
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