Match each sequence to a good candidate for a closed form. Note that for each of the given sequences, the initial value of the index n is given.
| selectABCDE | 1.
f(n)=5n−2 |
| selectABCDE | 2.
f(n)=((1+5√)2)n−((1−5√)2)n5–√ |
| selectABCDE | 3.
f(n)=2n+1−1 |
| selectABCDE | 4.
f(n)=5n+3 |
| selectABCDE | 5.
f(n)=2n−1 |
| selectABCDE | 6.
f(n)=(n+1)2−1 |
| selectABCDE | 7.
f(n)=n2−1 |
In: Advanced Math
A new refrigerator is being designed. Magnets will be used to hold the door closed, and the rubber seal thickness can be selected to adjust the separation between the magnets (and therefore the force). The total length of rubber seal required to go around the door is 6m, and the cost of rubber seal is given equation 2. The pull force when opening the door should be 12N. Determine which of the magnet combinations should be used, and the combined cost of the magnets and seals per refrigerator.
Table 2. Material costs of neodymium magnets
|
Magnet size |
Cost per unit |
|
10mm |
$4.10 |
|
12.7mm |
$8.15 |
|
25mm |
$43.20 |
$Cost/m of rubber seal = 30 T-0.7 Equation 2
where T = thickness of each seal in mm (half the separation between the magnets)
|
25mm |
10mm |
12.7mm |
10-12.7mm |
||||
|
Separation mm |
Force N |
Separation mm |
Force N |
Separation mm |
Force N |
Separation mm |
Force N |
|
250 |
0.014715 |
45 |
0.034335 |
120 |
0.0036297 |
130 |
0.0015696 |
|
240 |
0.015696 |
42 |
0.038259 |
110 |
0.0066708 |
120 |
0.001962 |
|
230 |
0.0192276 |
40 |
0.053955 |
100 |
0.0093195 |
110 |
0.002943 |
|
220 |
0.0207972 |
38 |
0.060822 |
90 |
0.0135378 |
100 |
0.0041202 |
|
210 |
0.0241326 |
35 |
0.07848 |
80 |
0.018639 |
90 |
0.0060822 |
|
200 |
0.02943 |
32 |
0.099081 |
70 |
0.0319806 |
80 |
0.0090252 |
|
190 |
0.03924 |
30 |
0.161865 |
60 |
0.0526797 |
70 |
0.014715 |
|
180 |
0.048069 |
27 |
0.199143 |
50 |
0.099081 |
60 |
0.0249174 |
|
170 |
0.054936 |
25 |
0.259965 |
40 |
0.197181 |
50 |
0.0464994 |
|
160 |
0.065727 |
23 |
0.299205 |
30 |
0.468918 |
40 |
0.092214 |
|
150 |
0.0897615 |
20 |
0.44145 |
25 |
0.77499 |
30 |
0.206991 |
|
140 |
0.112815 |
17 |
0.638631 |
20 |
1.2753 |
20 |
0.555246 |
|
130 |
0.150093 |
15 |
1.03005 |
15 |
2.06991 |
15 |
1.3734 |
|
120 |
0.204048 |
45 |
0.034335 |
10 |
2.99205 |
||
|
110 |
0.283509 |
||||||
|
100 |
0.385533 |
||||||
|
90 |
0.565056 |
||||||
|
80 |
0.77499 |
||||||
|
70 |
1.13796 |
In: Mechanical Engineering
. Using the IS-MP model in a closed economy, explain the impact of tax cuts on the interest rate (r) and output (y), indicating the multiplier effect and crowding-out effect on the graph
In: Economics
One of the big differences between the functioning of a closed versus an open economy is the way fiscal policy affects an economy that fixes its exchange rate. Explain with the aid of charts what those differences are.
In: Economics
Prove that the adiabatic process of an ideal gas in a simple compressible closed system is the polytropic process of n=k ( where k is the specific heat rate) by using the thermodynamic first law.
Please answer quickly will rate positive thank u
In: Mechanical Engineering
Following a closed traverse, the sum of the interior angles was found to vary from the calculated sum by 2 degrees, 30 minutes. The angles were balanced by adding 30 minutes to each of five internal angles. This would be an example of: A. an arbitrarily balanced field angle adjustment. B. mathematical polygon balancing. C. an equally balanced field angle adjustment. D. a poorly conducted traverse.
In: Civil Engineering
Consider a simple financial market for a closed economy with government, such as might be crudely representative of the world as a whole. a) Construct a diagram to represent this market and note and explain your choice of the variables on the vertical and horizontal axes.
b) Draw the saving supply curve and the investment demand curve, indicating and explaining which variables shift them to the right and left and why.
c) Imagine that this market faces simultaneous pessimism shocks. There are declines in what level of future income is expected by households and in the net rate of return on new physical capital that is expected by investors. Illustrate and explain how these shocks change the diagram and how you would expect the yield on long maturity assets to change.
d) Then use your diagram to further explain how this result might be affected in the short run by a rise in government spending, and hence a decline in government saving or an increase in sovereign debt.
In: Economics
1. If, for an imaginary closed economy, investment amounts to $12,000 and the government is running a $2,000 deficit, then private saving be equal to?
2.In a closed economy, GDP is $1000, government purchases are $200, and consumption is $700. If the government has a budget surplus of $25. Private savings is equal to [_______] and investment is equal to [______]
Group of answer choices
300...25
300...225
100....100
75....100
3. Suppose Intel (a U.S.-owned company) builds a factory in Taiwan to produce processor chips. What is this an example of?
Group of answer choices
Inward-oriented policies
Foreign portfolio investment
Foreign direct investment
Crowding out
In: Economics
A liquid mixture of benzene and toluene is contained in a closed vessel at 60°C. The only other component in the system is nitrogen gas which is used to pressurize the system to 1 atm total pressure (absolute). The liquid is 70 mole% benzene and 30 mole% toluene, and the N2 is considered non-condensable (i.e., the liquid mole fraction of nitrogen is zero). Consider the mixture to be ideal, and determine the vapor mole fractions of the three components. (Document any data that you use that is not given in the problem statement.)
In: Other
In a closed economy with a government, if Saving is greater than Investment then,
Question 41 options:
|
consumpton must be less than saving |
|
|
saving must be less than consumption |
|
|
the government must be running a budget surplus |
|
|
the government must be running a budget deficit |
As the public becomes nervous about the viability of many borowers, the Fed can alleviated some of the panic by:
Question 43 options:
|
selling bonds to the public |
|
|
buying bonds from the public |
|
|
cuttng the money suppoy and raising interest rates |
|
|
spending on infrastructure |
If the marginal propensity to consoume is .60 then,
Question 44 options:
|
the marginal propensity to save is .40 and the multiplier is 1.67 |
|
|
the marginal propensity to save is .40 and the multiplier is 2.5 |
|
|
the marginal propensity to save is 2.5 and the multiplier is 4.0 |
|
|
the marginal propensity to save is 1.67 and the multiplier is 4.0 |
A law requiring an annually balanced federal budget would tend to:
Question 45 options:
|
create inflation |
|
|
make recessions worse |
|
|
magnify the multiplier effect |
|
|
stabilize the economy |
In: Economics