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"abc".compareto("aba") returns ___________. Write a nonrecursive formula for the nth term of the arithmetic sequence {a} based on the given information. 9,= -10, d=5 5 11 (b) Find 021 a = a21 Suppose V and W are both finite-dimensional. Prove that there exists an injective linear map from V to W if and only if dim V < dim W. if the glider oscillates back and forth on the air-track, at what point in the motion is the acceleration zero? where is the velocity maximum? show with a drawing. 6. Let D and E be nxn matrices. Which of the following/s is/are false? a) det (FG) = det F det G b. det(F^T) = det F c). det(F^-1) = det F d. det(kF) = k"" det F List of countries:ChinaUnited StatesUnited Arab Emiratesa. Overview of the economic performances GDP, GDP Growth Rate, GDP per capitab. Overview of the unemployment and labor market indicatorsUnemployment rate, labor force participation rate, employment to population ratioc. Overview of the changes in average price level Inflation rated. Select an indicator that has an interesting / significant difference among the countries you chose you are free to choose any variable according to your interestsFor each of the points stated above, provide data tables and figures that show and compare the three countries. Under each table and figure, convey the important information to the reader. Emphasize the similarities and differences. Mention any significant years and related events. Discuss how coupon rate, maturity and presence of embeddedoptions affect a bonds risk Suppose x, y, and z are any real numbers.Find an expression equivalent to the negation of: x,y z: (xyy>z)Select one:a. x,y z: (xyyz)b. x,y z: (yzx>y)c. x,y z: (yzx>y)d. x,y z: (x>yyz) Pippin Enterprises currently has Accounts Payable of $9,600, Bonds Payable of $8,400, Lease Liabilities of $6,200, and Income Taxes Payable of $7,500. The bonds and lease liabilities are payable in 3 years. Assuming Pippin has no other liabilities, what is the company's total current liabilities? a $24,200 b $31,700 c $17,100 d $14,600 which feature would you expect to find associated with continental collisions? Question 1 (Approximately 500 words) In its 2021 Report, theIntergovernmental Panel on Climate Change (IPCC) has highlightedfive steps to counterbalance the negative impact of global warmingon the If a monopolistically competitive firm is producing 800 cat condos at a price of $90 and an average total cost of $75, which statement is true?A. The firm is operating in the long run and earning an economic profitB. This firm is operating in the short run and earning an economic profitC. This firm is operating in the short run and incurring an economic lossD. this firm is operating in the long run and incurring an economic loss Original price=82 Discount=20 Which of the following contracts did your professor state he has an ethical issue with in relation to its use in business, especially new employees?a. non-compete agreementb. non-disclosure agreementc. non-use agreementd. non-solicitation agreemente. work-for-hire agreementf. confidentiality agreementg. third-party agreement Class:The perimeter of an isosceles triangle ABC with base BC is 15.6 m. Find the length of its sides if the base is 3 m shorter than a legFind ACFind ABFind BC The Wildhorse Products Co. currently has debt with a market value of $275 million outstanding. The debt consists of 9 percent coupon bonds (semiannual coupon payments) which have a maturity of 15 years and are currently priced at $1,445.45 per bond. The firm also has an issue of 2 million preferred shares outstanding with a market price of $19 per share. The preferred shares pay an annual dividend of $1.20. Wildhorse also has 14 million shares of common stock outstanding with a price of $20.00 per share. The firm is expected to pay a $2.20 common dividend one year from today, and that dividend is expected to increase by 4 percent per year forever. If Wildhorse is subject to a 40 percent marginal tax rate, then what is the firms weighted average cost of capital? As a marketer, would you suggest targeting consumers at the topor bottom of the pyramid? Why? a layer of oil of unknown refractive index is floating on top of a layer of carbon disulfide (n = 1.63). if the angle at the input is 60, what is the angle of refraction in the carbon disulfide? Groupthink occurred when NASA officials insulated themselves from the objections of dissenting engineers and made the fatal decision to launch the space shuttle Challenger. T/F 100 points for the correct answer