Bob's farm harvests corns worth 89 thousand dollars (and nothing else). In each year, there is a 30% chance that a storm will attack and leaves him with only 30 thousand dollars worth of the corns. Bob's preferences over wealth are represented by U=\ln{w} . What is the maximum that Bob is willing to pay for full insurance (in unit of thousand dollars)? Please round your answer to the nearest integer.

Solve the equation using the given values: x= -2.5; y= -7.51. 2xy + 2x²

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1+i)+(21+5i)+0