The equation should have bb isolated on one side and aa and dd are related such that they are multiplied by kk, the constant of variation. This matches A. k=bad

asked 2021-08-19

A. b=kad

B. k=dab

C. d=kba

D. bda=k

asked 2021-07-02

An investor plans to put $50,000 in one of four investments. The return on each investment depends on whether next year’s economy is strong or weak. The following table summarizes the possible payoffs, in dollars, for the four investments.

Certificate of deposit

Office complex

Land speculation

Technical school

amp; Strong amp;6,000 amp;15,000 amp;33,000 amp;5,500

amp; Weak amp;6,000 amp;5,000 amp;−17,000 amp;10,000

Let V, W, X, and Y denote the payoffs for the certificate of deposit, office complex, land speculation, and technical school, respectively. Then V, W, X, and Y are random variables. Assume that next year’s economy has a 40% chance of being strong and a 60% chance of being weak. a. Find the probability distribution of each random variable V, W, X, and Y. b. Determine the expected value of each random variable. c. Which investment has the best expected payoff? the worst? d. Which investment would you select? Explain.

Certificate of deposit

Office complex

Land speculation

Technical school

amp; Strong amp;6,000 amp;15,000 amp;33,000 amp;5,500

amp; Weak amp;6,000 amp;5,000 amp;−17,000 amp;10,000

Let V, W, X, and Y denote the payoffs for the certificate of deposit, office complex, land speculation, and technical school, respectively. Then V, W, X, and Y are random variables. Assume that next year’s economy has a 40% chance of being strong and a 60% chance of being weak. a. Find the probability distribution of each random variable V, W, X, and Y. b. Determine the expected value of each random variable. c. Which investment has the best expected payoff? the worst? d. Which investment would you select? Explain.

asked 2021-02-05

\(A=\begin{bmatrix}1 & 2 &9 \\ -1 & 2 &0 \\ 0&0&4 \end{bmatrix} B=\begin{bmatrix}0 & -1 \\ 2 & 6 \end{bmatrix} C=\begin{bmatrix}2 & 1 \\ 0 & 0 \end{bmatrix} D=\begin{bmatrix}1 \\ 2 \\ -4 \end{bmatrix}\)

Identify the following:

a) A-B

b) B+C

c) C-D

d) B-C

asked 2021-06-24

The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specifically the number of tumor cells. Assume that for a population K=1000 and α=0.05.. Draw the directional field associated with this differential equation and draw a few solutions. What is the behavior of the population?

asked 2021-07-31

The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specifically the number of tumor cells. When does population increase the fastest for the Gompertz equation

\(\displaystyle{P}{\left({t}\right)}'=\alpha{\ln{{\left({\frac{{{K}}}{{{P}{\left({t}\right)}}}}\right)}}}{P}{\left({t}\right)}?\)

\(\displaystyle{P}{\left({t}\right)}'=\alpha{\ln{{\left({\frac{{{K}}}{{{P}{\left({t}\right)}}}}\right)}}}{P}{\left({t}\right)}?\)

asked 2021-09-24

In these problem you are asked to find a function that models a real-life situations. Use the principle of modeling described in this Focus to help you.

Area Find a function that models the area A of a circle in terms of its circumference C.

Area Find a function that models the area A of a circle in terms of its circumference C.

asked 2021-09-12

In these problems you are asked to find a function that models a real-life situations. Use the principle of modeling described in this Focus to help you.

Radius Find a function that models the radius r of a circle in terms of its area V.

Radius Find a function that models the radius r of a circle in terms of its area V.