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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.

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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On May 28, 2020, Amy purchased a Government of Canada T-bill that matures on August 4, 2020. How much did Amy pay for the investment if $10,000 will be received on August 4, 2020 and the rate of simple interest is 1.35%? ________

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The process of using sample statistics to draw conclusions about the true population parameters is called

a. statistical inference

b. the scientific method

c. sampling

d. descriptive statistics

e. statistical sampling


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