Q1) Growth AccountingAbel, Bernanke and Croushore, 10th edition, Chapter 6, Numerical Problems No. 6Over the past twenty years an economy's total output has grown from 1000 to 1300, its capitalstock has risen from 2500 to 3250, and its labor force has increased from 500 to 575. Allmeasurements are in real terms.Calculate the contributions to economic growth of growth in capital, labor, and productivity:a. assuming that ak = 0.3 and an = 0.7.b. assuming that ak = 0.5 and an = 0.5.

Answered: Over the past twenty years an economy's…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars) kWhkWh 25 30 35 40 cost (dollars)cost (dollars) (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…
Use an annual growth rate of 1.2% in a 20 year period for a certain population to find the approximate doubling time and then predict the population in 2050 based on a 2000 population of 3.0 billion
Suppose a small quantity of radon gas, which has a half-life of 3.8 days, is accidentally released into the air in a laboratory. If the resulting radiation level is 30% above the safe level, how long should the laboratory remain vacated? (Hint: To start with, determine what fraction of the "resulting radiation level" is the maximum safe level.) The laboratory should remain vacated for days.
(1) Confirm that the data in Table 1.2 for the temperatures 25 °C and 45 °C can also be approximated by constant relative changes. Then find the exponentials that match the data.
4. Calculate the average annual rate of increase in a population with 3.0 billion people (in year 1), increasing to 3.036 billion people (in year 2). A. r=-0.012% B.r=-0.12% C.r -1.2% D.r +1.2% E.r +12.0% %3D
Table 1. DEMOGRAPHY OF COUNTRY X 2020 2018 2015 Total population 109,035,343 100,981,437 92,337,852 Average annual population growth rate 1.63 (2015- 2020) 1.72 (2010- 2015) 1.90 (2000- 2010) Population density (persons per square kilometer) 363 337 308 Births (Based on civil registration) Male 990,390 750,871 632,870 Female 952,126 972,802 487,798 Deaths (Based on civil registration) Timely 506,530 509,762 473,987 Late 106,820 110,382 116,803 2012 2009 2005 Total population by sex 102,303,977 93,114,333 89,088,544 Male 51,962,069 46,257,634 44,788,757 Female 50,341,908 46,856,699 44,299,787 Proportion of total population by sex Male 50.79 49.68 50.27 Female 49.21 50.32 49.73 Total population by age group 0-4 years 10,931,818 10,784,233 10,656,575 0-14 years 32,793,155 30,937,734…
Pesticide danger: One of the factors that determines the degree of risk a pesticide poses to human health is the rate at which a pesticide is absorbed into skin after contact. An important question is whether the amount in the skin continues to increase with the length of the contact, or whether it increases for only a short time before leveling off. To investigate this, measured amounts of a certain pesticide were applied to 20 samples of rat skin. Four skins were analyzed at each of the time intervals 1, 2, 4, 10, and 24 hours. The amounts of the chemical (in micrograms) that were in the skin are given in the following table. Duration Amounts Absorbed 1 1.5 2.7 1.6 1.6 2 1.7 1.7 2.4 2.3 4 1.4 2.1 1.6 1.2 10 2.4 1.2 2.1 2.6 24 2.2 1.8 1.7 1.3 Send data to Excel Part: 0 / 2 Part 1 of 2 (a) Construct an ANOVA table. Round your answers to four decimal places. One-way ANOVA: Pesticide Amount Source DF SS MS F Duration Error Total
If a population grows 10 % each year, what is the annual continuous (relative) growth rate? O 10.00 % O 9.53 % O 10.52 % O 7.42 % O 3.00 %

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