1. We will look at the discharge time of a capacitor to find its capacitance. Consider a circuit with a 6.00 V battery and a resistor with 102,000 ohms. Complete the two tables below using Equation (5a) to find the capacitor values. Print a graph of ln(V_C) vs. Decay Time (s) for each capacitor. Equation (5a) is     

There are four zero-coupon Treasury bonds as follows: Maturity (years) Price ($) 0.5 979.43 1.0 955.54 1.5 928.60 2.0 897.17 Assume that the face values are $1000 for all the bonds. (a) Determine the quasi-modified duration for the given 1.0-year zero-coupon bond. (Keep 2 decimal places, e.g. xx.12) (b) The price for a 2-year Treasury note with semi-annual coupon payments is $ 987.42. Find the annual coupon rate for the note, and hence determine its quasi-modified duration. Coupon rate: % (Keep it in percentage format with 2 decimal places, e.g. xx.12%) Qusi-modified duration: (Keep 2 decimal places, e.g. xx.12)

For each of the following pairs of aqueous solutions (all are at 300 K, unless otherwise stated), circle the one that has a higher concentration of solute:

1. 1.75 M NaCl or 1.75 m NaCl

2. 1.0% by mass KI or 1.0% by mass KBr

3. a saturated solution of n-butanol (CH3(CH2)2(CH2OH) or a saturated solution of n-decanol (CH3(CH2)8CH2OH)

4. a saturated solution of O2 at 298 K or a saturated solution of O2 at 358 K

5. a saturated solution of He under 1 atm of He or a saturated solution of Xe under 1 atm of Xe

**It would be very very helpful if you can provide an explanation for each one**

QUESTION 37

1. Match the appropriate term to the definition or technique. Each technique can be used only once. As such, choice the best definition

   -       A.       B.       C.       D.    Hypothesis Test       -       A.       B.       C.       D.    ANOVA       -       A.       B.       C.       D.    Two Way ANOVA       -       A.       B.       C.       D.    Chi-Square / Goodness of Fit Testing

   A. A test to compare means of sample or proportion data to a claims B. A statistical hypothesis test for comparison of three or more sample means C. Extends to situations where two factors serve to explain variation in response D. A non parametric test to compare the distribution of observed data to expected data

QUESTION 30

1. A bank auditor claims that credit card balances are normally distributed with a mean of $2,870 and a standard deviation of $1000. You randomly select 25 credit card holders. What is the probability that their mean credit card balance is less than $2,500

   	a.	0.0
   	b.	0.0197
   	c.	.0322
   	d.	.0505
   	e.	1.0

What is the Z value for variable x equal to 15 and the mean is 20 with a standard deviation of 5

UseMath

Write a program called UseMath. It should contain a class called UseMath that contains the method main. The program should ask for a number from the user and then print the information shown in the examples below. Look at the examples below and write your program so it produces the same input/output.

Examples

(the input from the user is in bold face) % java UseMath enter a number: 0 the square root of 0.0 is: 0.0 rounded to the nearest integer: 0 the value of PI is: 3.141592653589793 the value of PI plus your number is: 3.141592653589793 rounded to the nearest integer: 3 the value of E plus your number is: 2.718281828459045 the absolute value of your number is: 0.0 % java UseMath enter a number: 1 the square root of 1.0 is: 1.0 rounded to the nearest integer: 1 the value of PI is: 3.141592653589793 the value of PI plus your number is: 4.141592653589793 rounded to the nearest integer: 4 the value of E plus your number is: 3.718281828459045 the absolute value of your number is: 1.0 % java UseMath enter a number: -1 the square root of -1.0 is: NaN rounded to the nearest integer: 0 the value of PI is: 3.141592653589793 the value of PI plus your number is: 2.141592653589793 rounded to the nearest integer: 2 the value of E plus your number is: 1.718281828459045 the absolute value of your number is: 1.0 % java UseMath enter a number: .5 the square root of 0.5 is: 0.7071067811865476 rounded to the nearest integer: 1 the value of PI is: 3.141592653589793 the value of PI plus your number is: 3.641592653589793 rounded to the nearest integer: 4 the value of E plus your number is: 3.218281828459045 the absolute value of your number is: 0.5 % java UseMath enter a number: .1 the square root of 0.1 is: 0.31622776601683794 rounded to the nearest integer: 0 the value of PI is: 3.141592653589793 the value of PI plus your number is: 3.241592653589793 rounded to the nearest integer: 3 the value of E plus your number is: 2.818281828459045 the absolute value of your number is: 0.1 % java UseMath enter a number: 10 the square root of 10.0 is: 3.1622776601683795 rounded to the nearest integer: 3 the value of PI is: 3.141592653589793 the value of PI plus your number is: 13.141592653589793 rounded to the nearest integer: 13 the value of E plus your number is: 12.718281828459045 the absolute value of your number is: 10.0 %

If the share of GDP used for capital goods is 0.12, the growth rate of productivity is 0.01, the growth rate of population is 0.03, the depreciation rate is 0.06, the initial capital/output ratio is 2.85, and the elasticity of GDP with respect to capital is 0.3, then what is the growth rate of the GDP per capita? Use three decimal places.

A steel ball is dropped from a diving platform (with an initial velocity of zero). Using the approximate value of g = 10 m/s2 (a) Through what distance does the ball fall in the first 0.3 seconds of its flight? (b) How far does it fall in the first 4.9 seconds of its flight?

1. INTC current stock price is 23. You sold a 22 put and bought a 21 put. The premium on the 22 put is 0.6, and the premium on the 21 put is 0.3. Analyze your gain or loss if on the expiration day the stock price is larger than 22, between 21 and 22, less than 2

a) Increasing the flow rate of the mobile phase would

1. increase longitudinal diffusion.

2. increase broadening due to mass transfer.

3. increase broadening due to multiple paths.

b) How many 50 mL extractions will it take to remove 95% of Compound A that is in 20 mL of water, if K = 0.3?

INTC current stock price is 23. You sold a 22 put and bought a 21 put. The premium on the 22

put is 0.6, and the premium on the 21 put is 0.3. Analyze your gain or loss if on the expiration

day the stock price is larger than 22, between 21 and 22, less than 21.