5. A survey found that when incomes increased by 10%, the following changes in quantities demanded occurred: spring water up by 5%; sports drinks down by 2%; cruises up by 15%.

I) Calculate income elasticity for spring water. Is it a normal good, an inferior good, or a luxury good?

II) Calculate income elasticity for sports drinks. Is it a normal good, an inferior good, or a luxury good?

III) Calculate income elasticity for cruises. Is it a normal good, an inferior good, or a luxury good?

The rate at which a machine operator's efficiency, E(t) (expressed as a percentage), changes with respect to time t is given by

dE/dt=35−16t

where t is the number of hours the operator has been at work.

(A) Find E(t), given that the operator's efficiency after working 2 hours is 80% that is, E(2)=80.

Operator's efficiency function E(t)=

(B) What is the operator's efficiency after 77 hours?

Based on the following enthalpy changes, determine the energy required to turn a Na metal atom into a gas phase ion (Na+(g)).

A store finds that its sales revenue changes at a rate given by S'(t) = −30t2 + 380t dollars per day where t is the number of days after an advertising campaign ends and 0 ≤ t ≤ 30. (a) Find the total sales for the first week after the campaign ends (t = 0 to t = 7). $

(b) Find the total sales for the second week after the campaign ends (t = 7 to t = 14). $

1)

In the long run, income and substitution effects of changes in wages have approximately equal strength. What does it mean for labor supply curve?

Select one:

a. Labor supply curve is approximately horizontal in the long run

b. Labor supply curve is downward-sloping in the long run

c. Labor supply curve is approximately vertical in the long run

d. Labor supply curve is upward-sloping in the long run

2)

Suppose that due to new developments in the financial system, the central bank expects the value of the money multiplier to increase. If the central bank wants to maintain stable price level, and it expects no other changes, how should it respond?

Select one:

a. Introduce regulations to decrease money demand

b. Increase monetary base

c. Decrease the required reserve ratio

d. Decrease monetary base

3)

Consider the standard money market model with constant money supply. What should happen with the price level after an increase in real interest rates?

Select one:

a. It depends on the relative strength of income and substitution effects

b. Decrease

c. Remain unchanged

d. Increase

4)

he condition stating that the discounted value of lifetime consumption equals the discounted value of lifetime income is known as:

Select one:

a. Firm’s optimality condition

b. Budget constraint

c. Market-clearing condition

d. Consumer's optimality condition

5)

Suppose that a part of the population experienced a sharp, temporary decrease in income, and they have no access to credit and financial market whatsoever. Nothing else changes. In this situation:

Select one:

a. The affected consumers will not change their consumption allocations

b. Changing the timing of taxation can be welfare-improving

c. First welfare theorem holds in this economy, so changing the timing of taxation can only reduce welfare

d. Changing the timing of taxation will have no impact on allocations

Demonstrate how the spectral emissive power inside a blackbody cavity changes with respect to the
following parameters:
a) Temperature and wavelength, hence, find E?(?, T), by:
(i) Creating a table with the (?, T) values as follows:
1. Wavelengths, ?, from 0.1 ?m to 100 ?m, on the first (left-most) column. Use increments
of:
? 0.1 ?m from 0.1 ?m to 1.0 ?m;
? 0.5 ?m from 1.0 ?m to 10 ?m;
? 1.0 ?m from 10 ?m to 100 ?m;
2. Temperatures, T, values of: 273.15 K; 773.15 K; 1273.15 K; 1773.15 K; 2273.15 K; 5000
K; and, 10000 K.
3. Calculate E?(?, T) using units of W/m2·?m and assume the constants C1 = 374210000
and C2 = 14388.
Set up your table with each separate column corresponding to each given value of T.
Ensure that you clearly label each column in your table and include the relevant units.
[Hint: There should be seven separate columns in your table for the E?(?, T) calculations
and eight columns in your table altogether with the inclusion of the left-most column
consisting of the ? values.
The recommendation is that you fill in each separate column in your table using a
different background colour in order to facilitate the examination of the different T
calculations and to assist in identifying the corresponding plots.]
4. Clearly demarcate the visible region in your table. You may do this by selecting a
different coloured font for the values of ? (and the corresponding E? values) that fall
within this region.
(ii) Plot the calculated values of E?(?, T) ensuring that you set out each plot as follows:
1. Display the calculated E?(?, T) values on the vertical axis.
2. Display the wavelengths on the horizontal axis. Select the logarithmic scale, to base 10,
to display your values on this axis.
3. Clearly demarcate the visible region in each plot.
4. Include a title in each plot, clearly identifying the relevant value of T and ensure that you
label both axes (including units).
[Hint: The recommendation is that you fill in the background of each plot in the same
colour as the corresponding column in your table in order to facilitate the analyses of
the different T calculations.]

I need A and C

1a

Demonstrate how the spectral emissive power inside a blackbody cavity changes with respect to the
following parameters:
a) Temperature and wavelength, hence, find E?(?, T), by:
(i) Creating a table with the (?, T) values as follows:
1. Wavelengths, ?, from 0.1 ?m to 100 ?m, on the first (left-most) column. Use increments
of:
? 0.1 ?m from 0.1 ?m to 1.0 ?m;
? 0.5 ?m from 1.0 ?m to 10 ?m;
? 1.0 ?m from 10 ?m to 100 ?m;
2. Temperatures, T, values of: 273.15 K; 773.15 K; 1273.15 K; 1773.15 K; 2273.15 K; 5000
K; and, 10000 K.
3. Calculate E?(?, T) using units of W/m2·?m and assume the constants C1 = 374210000
and C2 = 14388.
Set up your table with each separate column corresponding to each given value of T.
Ensure that you clearly label each column in your table and include the relevant units.
[Hint: There should be seven separate columns in your table for the E?(?, T) calculations
and eight columns in your table altogether with the inclusion of the left-most column
consisting of the ? values.
The recommendation is that you fill in each separate column in your table using a
different background colour in order to facilitate the examination of the different T
calculations and to assist in identifying the corresponding plots.]
4. Clearly demarcate the visible region in your table. You may do this by selecting a
different coloured font for the values of ? (and the corresponding E? values) that fall
within this region.
(ii) Plot the calculated values of E?(?, T) ensuring that you set out each plot as follows:
1. Display the calculated E?(?, T) values on the vertical axis.
2. Display the wavelengths on the horizontal axis. Select the logarithmic scale, to base 10,
to display your values on this axis.
3. Clearly demarcate the visible region in each plot.
4. Include a title in each plot, clearly identifying the relevant value of T and ensure that you
label both axes (including units).
[Hint: The recommendation is that you fill in the background of each plot in the same
colour as the corresponding column in your table in order to facilitate the analyses of
the different T calculations.]

Planck's Law may be encountered in a number of different forms depending on the conventions and
preferences of different scientific fields

b) Set up a table in an Excel Worksheet providing the following information:
(i) Variables:
1. Frequency
2. Wavelength
3. Wavenumber
4. Angular Frequency
5. Angular Wavelength
6. Angular Wavenumber
(ii) Symbols for the Variables
(iii) The formula for Planck's Law expressed in terms of each different spectral variable.
(iv) Whether the formula is most often encountered in experimental fields or theoretical fields.
c) Calculate the following:
(i) An electromagnetic wave has a wavelength of 550 nm.
1. What is the frequency of radiation of this wave?
2. Can humans perceive this wave? If so, how do we perceive it? If not, what form of
radiation is this wave in relation to the electromagnetic spectrum?
(ii) During a night out on the town we see many different lighted signs at the late-night diners.
One particular sign catches our attention, if the radiation from the excited atoms which
produce the light in this sign have a wavelength of 680 nm, what is the energy of each
photon that is being emitted by this sign?
(iii) Given that the energy of the photons being emitted from a particular metal is 6.54×10–19J,
what is the frequency and wavelength of this radiation?

A project has the following cash flows:

If the discount rate changes from 12% to 15%, what is the CHANGE in the NPV of the project approximately?

Please no excel sheet, just detailed steps for someone new in finance ;)

Describe two major changes that happen in a placental mammal’s circulatory system at birth. Specifically, for each change describe the feature in the prenatal animal, the change that happens at birth, and the feature in the postnatal animal.