18. Consider the following closed economy:
C = 60 +0.8(Y-T)
I = 150-1000i
G = 250
T = 200
Ms/P = 100
Md/P = 40+0.1Y-1000i
a. Derive the IS and LM functions.
b. Find the equilibrium interest rate and the equilibrium level of income.
c. Suppose we change this model such that investment is assumed to be completely interest inelastic: that is, investment does not depend on the rate of interest or we have I=150. Write the new equations for the IS and LM schedules and illustrate them graphically. What is the new equilibrium value of income?
d. How would an increase in money stock affect equilibrium values of Y and i under (c) above? Illustrate and explain your answer.
In: Economics
In: Statistics and Probability
Current average gasoline prices in the U.S. are about $2.26/gallon. A year ago, they were about $2.69/gallon. This represents a price decrease over the last year of about 17%. If the own price elasticity of gasoline is -0.2%, by what percentage would you expect the quantity demanded to change over this period?
In: Economics
In studying the insurance preferences of homeowners the following conclusions are made: A homeowner is three times as likely to purchase additional jewelry coverage as additional electronics coverage The purchase of one of these coverages is independent of the purchase of the other The probability a homeowner purchases both coverages is 0.2 Find the probability that a homeowner purchases exactly one coverage.
In: Statistics and Probability
In a sample of 200 individuals, the frequency of the BB genotype is 0.4, the Bb genotype is 0.4, and the bb genotype is 0.2. Perform a Chi-square test to test whether this population is in Hardy-Weinberg equilibrium. For full credit, be sure to include the null hypothesis, Chi-square number, degrees of freedom, p-value, and conclusion.
In: Biology
Consider the following second-order ODE,
y"+1/4y=0
with y(0) = 1 and y'(0)=0.
Transform this unique equation into a system of two 1st-order ODEs.
Solve the obtained system for t in [0,0.6] with h = 0.2 by MATLAB using Euler Method or Improved Euler Method.
In: Advanced Math
An 85 kg man is climbing a 30 kg ladder that is placed against a building at an angle of 15 degrees. The Coefficient of friction is between the ladder is and the ground is 0.2.
A) Find the force of friction.
B) What is the maximum height the man can climb before the ladder starts to slip?
Thorough solution is much appreciated!
In: Physics
A shipping pallet holds 10 boxes. Each box holds 300 parts of different types. The part weight is normally distributed with a mean of 1 lb and a standard deviation of 0.2 lb.
a. Compute the mean and standard deviation of the pallet weight.
b. Compute the probability that the pallet weight will exceed 3015 lb.
In: Computer Science
In a sample of 200 individuals, the frequency of the BB genotype is 0.4, the Bb genotype is 0.4, and the bb genotype is 0.2. Perform a Chi-square test to test whether this population is in Hardy-Weinberg equilibrium. For full credit, be sure to include the null hypothesis, Chi-square number, degrees of freedom, p-value, and conclusion.
In: Biology
The mass of an iron bolt was 5.4 greater when it was manufactured. After being bolted to an outdoor structure for several months, the mass of the bolt was found to hae increased by 0.2 grams. Given the following balanced equation for the reaction, does the example support the law of conservation of mass? Why or why not?
4Fe +3O2--> 2Fe2O3
In: Chemistry