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An appliance company determines that in order to sell x dishwashers, the price per dishwasher must be p = 420 - 0.3x. It also determines that the total cost of producing x dishwashers is given by C(x) = 5000 + 0.3x2. How many dishwashers must the company produce and sell in order to maximize profit? g What is mA? please help please solve these questions for me. i am having a difficult time understanding. ANZ Corporation manufactures a product available in two models: ABC, and PQR. Despite the growing popularity of the PQR model, company profits have been declining steadily, and management is beginning to think there might be a problem with their costing system. Material and Labour costs are given below:ABC PQRSales demand 30000 15000Direct material cost/unit $45 $60Direct labour cost/unit $30 $40Production overheads are $600,000 each month.These are absorbed on a sales demand basis.Calculate the full production costs for ABC and PQR, using traditional costing method Interest groups representing businesses and investors are often among the most successful lobbying groups for all of the following reasons, EXCEPT __________.A. such groups have the financial resources to mount sustained campaigns on their own behalfB. these groups' members contribute heavily to many legislators' campaigns and in so doing gain greater access to legislatorsC. these groups have often been in existence for decades, allowing them to both master the legislative system and develop close ties with legislatorsD. the members of these groups make up the majority of voters in many districts please help :) What is 96,989,200 written in scientific notation? A. 96.9892 10 to the 5 power B. 9.69892 10 to the 7 power C. 9.69892 10 to the 6 power D. 9.69892 10 to the 8 power When Dion's father died, he wanted to sensitively explain this death to his 7-year-old son, who was close to his grandfather. According to the textbook, when a child encounters death, parents should: Although appealing to more refined tastes, art as a collectible has not always performed so profitably. During 2003, an auction house sold a sculpture at auction for a price of $10,371,500. Unfortunately for the previous owner, he had purchased it in 1999 at a price of $12,497,500.What was his annual rate of return on this sculpture? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)Annual rate of return % Find the center and radius of x^2 18x + y^2 -10y = -6. part two write x2 18x + y2 -10y = -6 in standard form n the diagram below, points $A,$ $E,$ and $F$ lie on the same line. If $ABCDE$ is a regular pentagon, and $\angle EFD=90^\circ$, then how many degrees are in the measure of $\angle FDE$?[asy]size(5.5cm);pair cis(real magni, real argu) { return (magni*cos(argu*pi/180),magni*sin(argu*pi/180)); }pair a=cis(1,144); pair b=cis(1,72); pair c=cis(1,0); pair d=cis(1,288); pair e=cis(1,216);pair f=e-(0,2*sin(pi/5)*sin(pi/10));dot(a); dot(b); dot(c); dot(d); dot(e); dot(f);label("$A$",a,WNW);label("$B$",b,ENE);label("$C$",c,E);label("$D$",d,ESE);label("$E$",e,W);label("$F$",f,WSW);draw(d--f--a--b--c--d--e);draw(f+(0,0.1)--f+(0.1,0.1)--f+(0.1,0));[/asy] easy math please help! What additional information do you need to prove ABC DEF by the SSS Postulate? A. BC = EF B. AB = DE C. AC = DF Allowance for Doubtful Accounts has a debit balance of $441 at the end of the year (before adjustment), and Bad Debt Expense is estimated at 3% of sales. If net credit sales are $903,000, the amount of the adjusting entry to record the estimate of the uncollectible accounts is a.$26,649 b.$27,531 c.$27,090 d.$441 Why is it Important to identify the purpose of a plece of writing?to generate as many ideas as possible to include in the writingto understand the age and educational background of the audienceto consider what you want to accomplish with the writingto determine a topic that has a lot of Information to include The coordinates of rhombus ABCD are A(4, 2), B(2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nearest whole number, if necessary. How did the Russian Revolution impact World War I? A. The Russians required the Allied Powers to come to their aid to defeat the radical groups. B. The Russians pulled out from the war, enabling the Germans to focus on the Western front. C. The Russians created new technological advancements that were used by the Allied Powers to win. D. The Russians created a new communist government that aligned with the Central Powers instead. What condition exists if you have a monthly spending deficit 2.) Evaluate 6a if a = 4 What rule (i.e. R1, R2, R3, R4, or R5) would you use for the hawk and for the grizzly bear? a. R2 and R5 b. R1 and R3 c. None of the above d. R1 and R4 My state's lottery has 30 white balls numbered from 1 through 30 and 20 red balls numbered from 1 through 20. In each lottery drawing, 3 of the white balls and 2 of the red balls are drawn. To win, you must match all 3 white balls and both red balls, without regard to the order in which they were drawn. How many possible different combinations may be drawn?