Assume the following functions are for the goods market of a hypothetical economy: (1) I = 150 - 10r; (2) C=700+0.8Yd (3) T=50+0.25Y (4) G=180 Note: Y is income and r is the interest rate a) Derive the IS aurve for this economy. b) Use appropriate scale to sketch the IS aurve is part (a) above. c) Determine and interpret the slope of the IS aurve in part a) above.
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- The following graph contains four lines (A, B, C and D), each of which has a slope that is either positive, negative, zero, or infinite. Y-axisX-axisBDCA For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled “ ice-cream" and Y-axis should be labeled "The temperature". Scenario Relationship Line As the temperature rises, the demand for ice-cream rises. Negative As the temperature rises, the demand for hot cocoa falls. Positive As the temperature falls, the demand for popsicles falls. Negative True or False: Line B has a slope of infinity.…6 Please show me how the calculation for this is done in a detailed explanation please!Y Score on Economics Final Exam 100 75 50 25 A 0 5 10 Hours of Study How would you describe the relationship shown in the graph? A Linear Direct Relationship B A Linear Inverse Relationship A Linear Independant Relationship C A Nonlinear Infinite Relationship D 15 20 X
- 5. Suppose a quadratic function is given by y = f(x) = x29x + 8. (a) Does this function represent an upward or downward facing parabola? Explain. Find the x - coordinate of the vertex (or the equation of the vertical line that intersects the parabola at the vertex) of the parabola.(b) Find the roots of the quadratic function. 1 (c) Using information from (a) and (b) draw a well labelled graph of the parabola (in particular, label the vertex and the roots).(d) In the same graph as (c), draw the parabola if it was instead represented by the function f(x) = x2-9x + 21. How many roots does this parabola have?6. Suppose an inverse demand function is given by p =10 - qd and an inverse supply function is given by p = 4+ 2qs. (a) What is the equilibrium price and quantity combination? (b) What happens when the price is above or below the equilibrium price? 7. How many solutions does a system of two equations have? Explain clearly and succinctly.Eng. Economy 1.Find the actual number of days from April 5, 2021 to December 5, 2021. 2.Find the approximate days between April 5, 2021 to December 5, 2021. 3.Find the ordinary interest for actual time for a $ 25,000 loan at 3 % interest. ( Use the number of days previously solve). 4.Find the ordinary interest for approximate time for a $ 25,000 loan at 3 % interest. ( Use the number of days previously solve). 5.Find the exact interest for actual time for a $ 25,000 loan at 3 % interest. ( Use the number of days previously solve). 6.Find the exact interest for approximate time for a $ 25,000 loan at 3 % interest. ( Use the number of days previously solve).7. Dependent & independent variables; positive & inverse relationships: Ypsilanti Market Research conducted a survey to find out whether people who earn more money purchase more expensive goods. The following table indicates the relationship between income the survey subjects earned and the price of the car that they purchased. Price Income (Thousands of dollars per car) (Thousands of dollars per year) 0. 10 20 15 40 20 60 25 80 30 100 In the diagram below, draw the graph corresponding to the above table.
- Question 8 In a strict linear gradient series, the value of the cáash flow at time 0 = _ and 1 = 0, 0 O 0, G 0, g G, GB) both B and C both A and C D) both A and B E) only D y Xebo Figure A X Figure B Figure C 26) In the diagram above, which figure(s) show(s) no relationship between the variables? A) only B X Figure D XPlease help solve and explain this equation