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Given the quantic equation below, solve it to find the values of x.

 

 2𝑥5 − 6𝑥3 − 4𝑥2 + 2𝑥 + 4 = 0 


Use False position method determine the root of the equation

Cosx –xe4=0


If an ODE is given as

(x2+x+1)dx+(y2-y+3)dy=0 with y(0)=1.

Find the numerical solution with h=0.1.



identify the missing number 22, 22, 44, 1, 13, 3, 6, ?.


An airline owns an aging fleet of Boeing 737 jet airplanes. It is considering a major purchase of upto 17 new boeing model 757 and 767 jets.the decision must take into account numerous cost and capability factors including the following
1)the airline can finance upto 1.6$ billion in purchases (2) each boeing 757 will cost 80$ million and each boeing 676$ will coat 110 million. (3)at least one-third of the planes purchased should be the longer range 757.(4)the annual maintenance budget is to be no more than $8 million.(5)the annual maintenance cost per757 is estimated to be 800000$ and it is 500000$.(6) each 757 can catry 125000 passenger per whereas each 676 can fly 81000 passengers annually. Formulate this an integer programming problem to maximize the annual passenger carrying capability. What categeory of integer programming problem is this.

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Answer the following questions:


1) What distinguishes good politics from bad politics?


2) What are your experiences with political behaviour?


3) Should you become more political? Why or why not?


Note: Your answer must not more than 400 words single-spaced in length

and must include a minimum of 5 sources. 


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 Determine the monthly profit (loss) if it sells 325 units per month.

a. $1500      b. ($1500)      c. $3000      d. $0      e. None of these

 How many units must be sold per month to earn a profit of $7000?

a. 342         b. 425      c. 675          d. 575           e. None of these

 Find the percent discount for an article listed at $40 whose net price is $25.

a. 15%        b. 25%     c. 37.5%      d.  62.5%       e. None of these

 A manufacturer produces a product which it sells for $60 per unit. The variable cost per unit is $20 and the fixed cost per month is $10,000. 

 How many units must be sold per month to break even?

a. 167      b. 500      c. 400      d. 250      e. None of these

The net price of an article is $125.46. What is the list price if a discount of 38% was allowed?

a. $200.90     b. $204.13       c. $90.91       d. $202.35      e. None of these

A 24% trade discount is equal to $365. What is the list price (rounded to the nearest dollar)?

a. $453       b. $1,156         c. $993            d. $1,799         e. $1,521

 An invoice for $5,000 dated July 25, terms 5/10, net 30 is paid on August 4. What amount must be paid to reduce the debt to $1,000?

a. $1,000     b. $3,800         c. $4,995         d. $4,998         e. $5,000

 How much interest is owed on a loan of $11,500 borrowed at 5.5% from March 1, 2020 to August 15, 2020?

a. $11,683.68     b. $318.86      c. $212.34      d. $183.68       e. None of these

 How much must be placed in a two-month term deposit earning 4.8% simple interest in order to earn $275 interest?

a. $12,500        b. $5,729.17         c. $23,333.33        d. $34,375.00      e. $53,333.33

 In how many months will $2,500 earn $51.04 interest at 3.5% simple interest?

a. 5             b. 7           c. 9          d. 6            e. None of these

You invested $7,500 in a savings account that pays interest of 3.6% compounded monthly. What is the value of your investment after 17 months?

a. $7,365.70   b. $13,682.87    c. $7,891.82    d. $7,541.45    e. None of these

A non-interest-bearing promissory note has a face value of $950. Find the proceeds of this note if it is discounted 3½ years before its maturity date at 8% compounded quarterly.

a.  $719.98      b.  $725.67     c. $771.65     d. $657.22         e. None of these


 

 

 

 

 


Find a root of an equation x−cosx=0

x−cosx=0 using the interval (0.5, 1) and correct up to 4 decimal places.

Debt payments of $400 due today and $900 due in three years are to be combined into a single payment due two years from now. What is the size of the single payment if interest is 8% compounded quarterly? ___________

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Bags Unlimited manufactures and markets backpacks for the youth market. Financial projections for this line of products are revenues of $1,238,000, total variable costs of $841,840 and fixed costs of $218,000. Answer each of the following independent questions.

a. Compute the contribution margin. ______________________

b. Compute the contribution rate. ______________________________

c. How much of this product line does the business need to sell to break even? ___________

d. If the business was to save $56,000 in variable costs by offering fewer colors of backpacks, how much of this product line does the business need to sell to break even?

________________________

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