1) Let the growth rate of X, be defined as the log difference a (X,) = log Xạ – log X-1. For variables X, and Y, show that the growth rate of the quotient equals the difference of the growth rates, g 9(X4) – a (Y).
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- (a) Does the data on Cambodia's GDP per capita in the table correspond approximately to a linear function, an exponential function, or neither? Year 2010 2011 2012 2013 2014 2015 GDP/capita ($/person) 782.7 824.8 870.5 920.3 969.3 1020.9 The data approximately corresponds to Choose one ▼ (b) Find a formula to approximate G, the GDP per capita in dollars/person, as a function of time, t, in years since 2010. NOTE: Round your estimated coefficients to 3 decimal places. We have G(t) 2 (c) What is the approximate annual percent increase in per capita GDP? NOTE: Give your answer to 1 decimal place. GDP is increasing at approximately % per year.Assume that a country, in year 5, has a population level, P, of 14 380 individuals. The country's population has been growing at a constant yearly rate of 2.4%. a) Find the country's initial population size, assuming that we are dealing with discrete time. Then, determine the initial population size assuming continuous time. (You must show all your work!) Are the two initial population sizes similar? Why or why not? b) Now, assume that g is actually 5% and that the initial population level was, in fact, 10,000. Using the Rule of 70, graph the population growth on a ratio scale for the time periods, t = 0, 7, 14, and 28. Label your graph. Please upload your answer as ONE file (document or picture files are acceptable).where The total fresh vegetables consumed per person per year can be modeled by V(t) = 0.5(t-4)²-3 V(t) is the total fresh vegetables consumed per person in pounds per year t years since 1999. In 2009, what is the total fresh vegetables consumed per person will be? {final answer will be number only}.
- Anation with fixed quantities of resources is able to produce any of the following combinations of carpet and carpet looms: Yards of Carpet (Millions) Carpet Looms (Thousands) 75 60 20 45 35 30 45 15 50 50 These figures assume that a certain number of previously produced looms are available in the current period for producing carpet. To answer this question, assume carpet looms is on the y-axis and yards of carpet is on the x-ais The plot of these points that make up the PPF has a vertical intercept of and a horizontal intercept of This PPF would be (Enter your responses as a wvhole number) bowed out a straight lineRegard x and y as continuous variables. If x grows at 3% rate and y grows at 2% rate, what is the growth rate of z = x2y2? a. 0.5% b. 1.5% c. 2.5% d. None of above.quiz 1 (page 1 of 5) 105 econ مبادئ في الاقتصاد الرياضی ش 2 و ش elearning yu.edu.jo Question 1 Not yet answered Question 3 Marked out of 1.00 Not yet answered Marked out of 1.00 **Assume that you have the following equations: Simplify the following expression: 3X(8x+9)- X(X+7) 4P+4Q=16 2P-Q=2 The equilibrium price is: O a. 23x2 + 20X O a. P=5 O b. X2-30X O b. P=6 O c. 25X2 + 32X Oc. P-2 d. 21X2-24X O d. P-4 e. None of the above O e. None of the above Clear my choice Clear my choice Next page Next page Quiz navigation Quiz navigation 12 31 4 ...
- Mr. Toni bought a plot of land for investment. The value of the land continues to increase following the following functions: V(t) = 100et Calculate the growth of the soil at t = 4Examine whether the following quadratic forms are positive definite, negative definite, or indefinite: (a) 6x² +25x² + 9x² − 60x2x3 + 40x1x3 – 6x1x2 - b) 9x² + 9x3 + 10x₂x3 + 6x1x2A country's growth rate (the percentage change in output) between 2000 and 2002 was 11%, and the growth rate between 2000 and 2001 was 7%, what was the country's growth rate between 2001 and 20027 Solve the problem by first formulating an equation(s). Please, enter the answer in (with two decimal points) and UPLOAD your work and final answer in the next question.
- It is projected that in the future, the population of a certain country in millions will be P(t)= 85e^.05t, where t is is time in years since 2022. Round all answers to the nearest whole number a. What is the projected population of the town in 2026 b. Find the simplified derivative function c. At what rate will the population be changing in 2026 d. In what year was the population increasing at a rate of 5 million people per year e. When will the population reach 160 millionA certain quantity Q has initial value 5 and decays by 2% each day. Give an exponential function that describes this quantity. (Use t in days as your variable.)In the year 2000, the total amount of consumer loans in the United States topped $550 billion dollars. According to the Archival Federal Reserve Economic Data report, the total amount of consumer loans for the United States can be approximated by the function L(t) = 0.286t²-3.669t+24.475 where t is the number of years after 1950 and L(t) is given in billions of dollars. Evaluate and interpret the instantaneous rate of change in the total amount of consumer loans in the United States in 2020. O a. The total amount of consumer loans in the United States is expected to grow in 2020 at a rate of 11.69 billion dollars. Ob. The total amount of consumer loans in the United States is expected to grow in 2020 at a rate of 30.65 billion dollars. Oc. The total amount of consumer loans in the United States is expected to grow in 2020 at a rate of 34.32 billion dollars. Od. The total amount of consumer loans in the United States is expected to grow in 2020 at a rate of 36.37 billion dollars.