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3 years ago

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Which scenario could be represented by the value −20 ? Select each correct answer. A: A diver's depth is 20 feet above sea level

. B:The temperature is 20 degrees below zero. C:A driver's speed decreases by 20 miles per hour. D:The water level in a tank increases by 20 inche

1 answer:

skad [1K]3 years ago

3 0

The answer is B because it is under 0, making it negative

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Treasury bills are paying a 4% rate of return. A risk-averse investor with a risk aversion of A = 1.85 should invest entirely in

kumpel [21]

Answer:

14.656%

Step-by-step explanation:

Data provided in the question:

Rate of return, r = 4% = 0.04

Risk aversion of A = 1.85

Standard deviation, σ = 24%

Now,

we have the relation

A = (E - r) ÷ σ²

E = expected return on portfolio

r = Risk free rate

on substituting the respective values, we get

1.85 = (E - 0.04) ÷ (0.24)²

or

0.0576 × 1.85 = (E - 0.04)

or

0.10656 + 0.04 = E

or

E = 0.14656 or

E = 0.14656 × 100% = 14.656%

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3 years ago

Identify the slope and y-intercept of the given graph.

Kryger [21]

The y intercept is 4

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vodomira [7]

Volume formula is WxHxL so 3/2 times 4 times 1/2 is 3, the answer is 3 cm^3

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2 years ago

A town has a population of 5000 and grows at 3.5% every year. What will be the population after 15 years, to the nearest whole n

RUDIKE [14]

Answer: 7,625

Step-by-step explanation:

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3 years ago

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Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation

stepan [7]

Answer:

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

Example:- $\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

Step-by-step explanation:

<u>Partial differentiation</u>:-

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x+dx,y)-f(x,y)}{dx}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.

It is denoted by δ z / δ x or δ f / δ x

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x,y+dy)-f(x,y)}{dy}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y

It is denoted by δ z / δ y or δ f / δ y

<u>Implicit function</u>:-

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

The total differential co-efficient

d z = δ z/δ x + $\frac{dy}{dx}$ δ z/δ y

<u>Implicit differentiation process</u>

differentiate both sides of the equation with respective to 'x'

move all d y/dx terms to the left side, and all other terms to the right side

factor out d y / dx from the left side
Solve for d y/dx , by dividing

Example : $x^2 + x y +y^2 =1$

solution:-

differentiate both sides of the equation with respective to 'x'

$2x + x \frac{dy}{dx} + y (1) + 2y\frac{dy}{dx} = 0$

move all d y/dx terms to the left side, and all other terms to the right side

$x \frac{dy}{dx} + 2y\frac{dy}{dx} = - (y+2x)$

Taking common d y/dx

$\frac{dy}{dx} (x+2y) = -(y+2x)$

$\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

7 0

3 years ago