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Consider an economy where output (Q) is a function of labor (L) and capital (K) inputs, as represented in the following function: Q=NK,L) where Q-quantity of output (i.e. GDP) K = quantity of capital input L - quantity of labor input Let s = the savings rate (ie, that portion of this year's output that is set aside to accumulate more capital for next year) Let the initial year quantities of capital and labor be as follows: Ko-100 Lo=100 Assume that the labor force (L) will grow at a constant 2% annually Meanwhile, the capital stock grows according to the amount people save and invest each year. Create a spreadsheet simulating 50 years of this economy (L, K, GDP, and Savings) i) with a savings rate (s) of 5% 11) with a savings rate (s) of 20% TO TURN IN: 1) In a single graph, graph GDP for the two economies above, over the 50 year horizon. 2) In a single graph, graph GDP per worker (i.e. labor productivity) for the two economies above, NOTE: don't turn in the data- only the graph!] over the 50 year horizon. NOTE: don't turn in the data-only the graph!) 3) Write a paragraph discussing your results from (A) & (B)
Show your work for full credit!!! 1 Determine whether each of the following matrices in symmetri aG AB -BA, if A and B are symmetric . F = MrN + NT Mf.vt M and N are not symmetric. 2. Let(v, v..y., be a set of vectors in R". If each statement below is true, decide which of the following, m sn m nor m, must be true. Explain your conclusion a. The set (v, v. V.Jspans R" b. The set { ,y, } is linearly independent. 2,
For a population with a proportion equal to 0.27, calculate the standard error of the proportion for the following sample sizes. (Round to four decimal places as needed)
or the of a cell 62) Carefully study terms below related to protein synthesis. Logically arrange ALL of those terms into a PROCESS MAP. Start with "Gene on DNA" at the top and proceed down until you reach the last term in the sequence. Place a few LINKING WORDS next to each arrow to indicate how one term relates to the next. You can insert additional terms into your map if that helps you tell the story, AS LONG AS THEY ARE USED CORRECTLY. (14 points) Peptide Pre-mRNA Ribosomes Functional protein Introns â–¡ Exons Translation Mature mRNA Nucleus O Transcription â–¡ tRNA mRNA processing RNA polymerase â–¡ Gene on DNA ost-translational modification
2. Using Karnaugh map simplify the following function, then implement it using NAND gates only. a. RA,B,C,D) = Po P2 + P3 + P7 + P8 + P10 + Pii + P15 b. Represent the complement of the above function by its canonical product of sums (S form), simplify it, and then implement it using NOR gates only.
A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initialspeed of 32 ft/s. Air resistance is proportional to speed, with k=1/128 lb-s/ft.
1. A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initial speed of 32 ft/s. Air resistance is proportional to speed, with k 1/ 128 lbs/ft. (a) Set up an IVP in y(t) (b) Find the velocity v(t) (c) Find the position y(t) (d) Find the maximum height attained by the stone (e) When does the stone hit the ground? You will have to use software for a numerical approximation (f) What is the speed at impact?
![Consider an economy where output (Q) is a function of labor (L) and capital (K) inputs, as represented in the following function: Q=NK,L) where Q-quantity of output (i.e. GDP) K = quantity of capital input L - quantity of labor input Let s = the savings rate (ie, that portion of this years output that is set aside to accumulate more capital for next year) Let the initial year quantities of capital and labor be as follows: Ko-100 Lo=100 Assume that the labor force (L) will grow at a constant 2% annually Meanwhile, the capital stock grows according to the amount people save and invest each year. Create a spreadsheet simulating 50 years of this economy (L, K, GDP, and Savings) i) with a savings rate (s) of 5% 11) with a savings rate (s) of 20% TO TURN IN: 1) In a single graph, graph GDP for the two economies above, over the 50 year horizon. 2) In a single graph, graph GDP per worker (i.e. labor productivity) for the two economies above, NOTE: dont turn in the data- only the graph!] over the 50 year horizon. NOTE: dont turn in the data-only the graph!) 3) Write a paragraph discussing your results from (A) & (B)](https://www.subjectmate.com/img/openquestion/127uid1592323312mceclip0.png)
