A camera lens has a focal length of 100 mm (thick lens). The photographer first adjusts the location of the lens to look at an object very far away (infinite distance). Then he tries to take a picture of a person 2 meters away from the lens. How is he going to adjust (move) the lens relative to its original position? What is the distance of the adjustment?

PYTHON

First, create an ER random graph with N=100 and p=0.1 and name it G. Then use the histogram() function to draw a histogram of the node degrees for the graph G. Don't worry about filling in "missing" values.

Also print the mean, median, and mode of the node degree distribution. Execute this a few times.

Note: while histogram(G.degree()) does draw a plot, that plot is not a histogram. Doing so will result in zero credit for this exercise.

Two continuous stirred-tank fermenters are connected in series, the first having an operational volume of 100 L and that of the second being 50 L. The feed to the first fermenter is sterile and contains 5000 mg/L of substrate, being delivered to the fermenter at 18 L/h. If the microbial growth can be described by the Monod kinetic model with µm= 0.25 h-1 and Ks = 120 mg/l. What would happen if the flow were from the 50 L fermenter to the 100 L fermenter?

A phone company charges 0.25 AED per minutes for the first 100 minutes and 0.45 AED for each extra minutes.

The company also rewards customers with points. If the bill is less than or equal to 20.00 AED, 10 points will be rewarded, otherwise, 1 point will be rewarded for each 2 AED.

Write a Java Program to prompt the user to input the number of minutes he/she used, then output the bill amount and number of points rewarded. Note that points should be presented as integer numbers.

Java language

run=

Enter the number of minutes: 124

The bill is: 35.8

The number points awarded is: 17

BUILD SUCCESSFUL (total time: 6 seconds)

run:

Enter the number of minutes: 45

The bill is: 11.25

The number points awarded is: 10

BUILD SUCCESSFUL (total time: 4 seconds)

a 20-years annuity-immediate has annual payments . The first payment is 100 and subsequent payments are increased by 100 until they reach 1000. The remaining payment stay at 1000. the annual effective intersst rate 7.5% . What is the coast of this annuity?

Southern airline inc.announced that its net income in the first quarter jumped percent to $100 million as number of passenger climbed. The airline also booked of $40 million from the sales of 2 aircraft. According to the survey of 6 analysts average estimate of the first quarter net income for the airline was $200 miliion. After earning announcement what would be the possible movement of the company's stock. Please explain with any financial concepts and theories?

Southern airline inc.announced that its net income in the first quarter jumped percent to $100 million as number of passenger climbed. The airline also booked of $40 million from the sales of 2 aircraft. According to the survey of 6 analysts average estimate of the first quarter net income for the airline was $200 miliion. After earning announcement what would be the possible movement of the company's stock. Please explain with any financial concepts and theories?

first national bank has assets consisting of $100 million in home equity loans with a modified duration of 2 plus $100 million in mortgages with a modified duration of 5, and liabilities of $200 million in deposits with an average modified duration of 2. The market value of FNB's assets and liabilities is very close to book value. FNB's treasurer wants to use a five-year swap (with a 4.2 modified duration) to neutralize the bank's duration position. Caculate and describe the 5-year swap position the treasurer should enter into to do so.

The futures price of a commodity is $95. Use a three-step tree to value (a) a nine-month American call option with strike price $100 and (b) a nine-month American put option with strike price $100. The volatility is 27% and the risk-free rate (all maturities) is 3% with continuous compounding.

A monopoly with constant marginal cost mc=$20 has two potential groups of customers, whose demands are Q1=100-.8p and Q2 =125-p, respectively. Fixed cost is 0.

a) If the firm knows the type of each individual consumer, and it can charge two two-part tariffs, what are these two two-part tariffs under first degree price discrimination?

b) If the monopoly can charge them the same two-part tariff, and unit price is equal to marginal cost, what is the fixed fee the monopolist will charge to maximize its profits (Hint: sell to one or both?

c) If the monopoly can charge them the same two-part tariff, compared to the two-part tariff calculated in part b), the optimum two-part tariff will have a higher or lower unit price? Higher or lower fixed fee?