Find the solution to the boundary value problem:

?^2?/??2−6??/??+5?=0,   ?(0)=10,?(1)=6

Please show me all your work, I want to know where I went wrong. Thank you!

Cheetah Copy purchased a new copy machine. The new machine cost $136,000 including installation. The company estimates the equipment will have a residual value of $34,000. Cheetah Copy also estimates it will use the machine for four years or about 8,000 total hours. Actual use per year was as follows:

Year	Hours Used
1	2,900
2	1,900
3	1,900
4	3,500

2. Prepare a depreciation schedule for four years using the double-declining-balance method.

	CHEETAH COPY Depreciation Schedule—Double-Declining-Balance End of Year Amounts Year Depreciation Expense Accumulated Depreciation Book Value 1 2 3 4 Total $0

Many Wall Street firms use LP models to select a
desirable bond portfolio. The following is a simplified
version of such a model. Solodrex is considering
investing in four bonds; $1 million is available for
investment. The expected annual return, the worst-case
annual return on each bond, and the duration of each
bond are given in the file P04_56.xlsx. (The duration
of a bond is a measure of the bond’s sensitivity
to interest rates.) Solodrex wants to maximize
the expected return from its bond investments,
subject to three constraints:
■ The worst-case return of the bond portfolio must
be at least 7%.
■ The average duration of the portfolio must be
at most 6.5. For example, a portfolio that invests
$600,000 in bond 1 and $400,000 in bond
4 has an average duration of [600,000(3) 1
400,000(9)]Y1,000,000 5 5.4.
■ Because of diversification requirements, at most
40% of the total amount invested can be invested in
a single bond.
Determine how Solodrex can maximize the expected
return on its investment.

Bond data
Returns and durations
	Bond 1	Bond 2	Bond 3	Bond 4
Expected	14%	13%	8%	12%
Worst case	9%	6%	8%	10%
Duration	9	5	4	8

thanks a lot !!!

Collin and Devonte plan to send their son to university. To pay for this they will contribute equal monthly payments to an account bearing interest at an annual rate of 6.7%, compounded monthly. They will make these payments for 12 years.  Five years after their last contribution, they will begin the first of 60 monthly withdrawals of $3,830 to pay the university's installment bills. How large must their monthly contributions be?

Several factors are involved in the creation of a confidence interval. Among them are the sample​ size, the level of​ confidence, and the margin of error. Which statements are​ true?

Select all true statements below.

A.

For a certain confidence​ level, you can get a smaller margin of error by selecting a bigger sample.

B.

For a given sample​ size, reducing the margin of error will mean lower confidence.

C.

For a given confidence​ level, a sample 9 times as large will make a margin of error one third as big.

D.

For a fixed margin of​ error, smaller samples will mean lower confidence.

E.

None of these statements are true.

Find the least positive solution of (a) x^2 − 29y^2 = −1 (b)x^2 − 29y^2 = 1

In a small town there are two places to eat: 1) a Chinese restaurant and 2) a pizza place. Everyone in town eats dinner at one of the these two places or eats dinner at home.

Assume the 20% of those who eat in the Chinese restaurant go to the pizza place the next time and 40% eat at home. From those who eat at the pizza place, 50% go to the Chinese restaurant and 30% eat at home the next time.  From those who eat at home, 20% go to the Chinese restaurant and 40% to the pizza place next time. We call this situation a system. This system can be modeled as a discrete-time Markov chainwith three states.

1. Define the three states and write down the one-step transition probability matrix.
2. If a family has decided to eat dinner in the Chinese restaurant with the probability of 0.05 or in the pizza place with the probability of 0.15 today, what is the probability that this family will eat dinner at home in two days
3. If a lady is having pizza today, how long will it take for her to have pizza again
4. Given that a man has been eating at the Chinese restaurant today and yesterday, on average, how long will it take for him to eat at the pizza place for the first time?
5. If a family plans to eat at home on Sunday, what is the probability that they will eat Chinese on Tuesday (same week) for the first timethen they will eat Pizza on Friday (same week) for the first time?

Discussion

Let us assume this gift shop volume is growing, therefore, you have a decision to make:

• Should I corporate the company?
• Should I begin a chain stores?
• Should I a part of franchise company?
• Or, Should I stay an incorporate company?

Write a brief description of the above options. What option do you prefer your store to follow?

Your discussion should be minimum 400 words.

Find the symmetric image of P(−28,18,20) about the plane passing through Q(0,0,0) and perpendicular to the vector n=[−5,5,2].

1. Suppose the equilibrium price for an average hospital stay in the absence of insurance is $10,000. At that price, 1000 people are hospitalized each year. Now suppose an insurer offers a policy to lower the out of pocket price of a stay to $100, and at that price, 1200 people are hospitalized.

a) How much TOTAL premium revenue must be collected to finance this arrangement?

b) How much premium revenue per hospitalized person must be collected? Would the average person be willing to pay this premium if they were risk averse?

c) Now suppose there are 120,000 people near this hospital, all of whom think they have an equal chance (1%) of being hospitalized. What must the per person premium be now?

Binary Tree

Create a binary search tree using the given numbers in the order they’re

presented. State if the resulting tree is FULL and/or BALANCED.

37, 20, 18, 56, 40, 42, 12, 5, 6, 77, 20, 54

Please follow the comment and solve question 6 and question 7 if you want to get thumbs up. Thank you.

6- Let xn ≥0 for all n∈N.

6-1) If xn →0, show that√xn →0.

6-2) If xn →x, show that√xn →√x.

Let A = lim n→∞an. Use an+1 =√2+an, the result of Exercise 6 and limit laws to prove that A = 2.

he market demand function for corn is

              Q^d = 25 - 2P The market supply function is

                Q^s = 5P -3

both measured in billions of bushels per year. What would be the welfare effects of a policy that put a cap of $3.50 per bushel on the price farmers can charge for corn? (Assume that corn is purchased by the consumers who place the highest value on it.)

Instructions: Round quantities to one decimal place. Round prices and surpluses to two decimal places.

	Amount ($)
New level of consumer surplus	billion
New level of producer surplus	billion

How to approximate smooth functions over koch snowflake? Please provide in details

Problem 9-13 (Algorithmic)

Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around the world. Two of the store’s leading products use the Romans Food Market name: Romans Regular Coffee and Romans DeCaf Coffee. These coffees are blends of Brazilian Natural and Colombian Mild coffee beans, which are purchased from a distributor located in New York City. Because Romans purchases large quantities, the coffee beans may be purchased on an as-needed basis for a price 11% higher than the market price the distributor pays for the beans. The current market price is $0.47 per pound for Brazilian Natural and $0.62 per pound for Colombian Mild. The compositions of each coffee blend are as follows:

	Blend
Bean	Regular	DeCaf
Brazilian Natural	75%	35%
Colombian Mild	25%	65%

Romans sells the Regular blend for $3.2 per pound and the DeCaf blend for $4.3 per pound. Romans would like to place an order for the Brazilian and Colombian coffee beans that will enable the production of 900 pounds of Romans Regular coffee and 500 pounds of Romans DeCaf coffee. The production cost is $0.89 per pound for the Regular blend. Because of the extra steps required to produce DeCaf, the production cost for the DeCaf blend is $1.09 per pound. Packaging costs for both products are $0.25 per pound. Formulate a linear programming model that can be used to determine the pounds of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit.

Let	BR = pounds of Brazilian beans purchased to produce Regular
	BD = pounds of Brazilian beans purchased to produce DeCaf
	CR = pounds of Colombian beans purchased to produce Regular
	CD = pounds of Colombian beans purchased to produce DeCaf

If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)

The complete linear program is

Max	BR	+	BD	+	CR	+	CD
s.t.
	BR			+	CR			=
			BD			+	CD	=
	BR				CR			=
			BD			+	CD	=
BR, BD, CR, CD ≥ 0

What is the contribution to profit?

Optimal solution:

BR =

BD =

CR =

CD =

If required, round your answer to two decimal places.

Value of the optimal solution = $