Essay About 5X And 10X

Math 001 Homework 1 – Coursework – swammy
Search
Essays
Sign up
Sign in
Contact us
Tweet
Index
/Philosophy
Math 001 Homework 1
[pic 1] MATH001 Calculus Homework 1  Student Full Name (as shown on LMS e-Learn [10 marks])  Teng Ying Swam                        HW1.Q1. [10 marks]. Solve the following equation, for 𝒙.  𝟐𝒙 + 𝟗 = 𝟓(𝒙−𝟕) SOLUTION: 2x + 9 = 5x – 359 + 35 = 5x – 2×44 = 3xx =  [pic 2]   HW1.Q2. [10 marks]. Solve the following equation, for 𝒙.  𝟑𝒙𝟐 −𝒙 = 𝟐𝟐 SOLUTION: 0 = 3×2 – x – 22Using this formula to solve quadratic equation [pic 3] [pic 4]  [pic 5] [pic 6]  [pic 7][pic 8]  HW1.Q3. [10 marks, Textbook, p. 101, P65, modified]. Solve the following equation, for 𝒕.  𝟏. 𝟎𝟎𝟓𝟏𝟐𝒕 −𝟑 = 𝟎 SOLUTION: 1.00512t = 312t = log1.0053t = [pic 9]t =  [pic 10]t = 18. 35594227 ≈ 18.36      HW1.Q4. [10 marks, Textbook, p. 100. P49]. Solve the following equation.  𝐥og𝟏𝟎(𝒙−𝟏) −𝐥og𝟏𝟎(𝒙 + 𝟏) = 𝟏 SOLUTION: Log10  = 1[pic 11]  = 10[pic 12]x -1 = 10(x+1)x – 1 = 10x + 10-1 -10 = 10x -x-11 = 9xx =  (no solution, log cannot be negative)[pic 13]HW1.Q5. [ , Textbook, p. 65, P69]. At a price of $2.28 per bushel, the supply of barley is 7,500 million bushels and the demand is 7,900 million bushels. At a price of $2.37 per bushel, the supply is 7,900 million bushels and the demand is 7,800 million bushels. Let 𝒑 denote the price in dollars and let 𝒙 denote the number of bushels (in millions).

Find a price-supply equation of the form 𝒑 = 𝒎𝒙 + 𝒃. Find a price-demand equation of the form 𝒑 = 𝒎𝒙 + 𝒃. Find the equilibrium point. SOLUTION: a) p = mx + bm =  =  [pic 14][pic 15]m = 0.000225if m = 0.000225, b = 2.37 – (0.000225 x 7900)b = 0.5925price-supply equation = p = 0.000225x + 0.5925  b) p = mx + bm =  =  [pic 16][pic 17]m = -0.0009if m = -0.0009, b = 2.37 – (-0.0009 x 7800)b = 9.39price-supply equation = p = -0.0009x + 9.39 c) 0.000225x + 0.5925 = -0.0009x + 9.390.0011225x = 8.7975X = 7820P = 0.000225(7820) + 0.5925P = 2.352Equilibrium point = (7820, 2.352)HW1.Q6. [10 marks]. Use the following revenue function and cost function found by the marketing research department for a company that manufactures and sells memory chips for microcomputers,  𝑹(𝒙) = 𝒙(𝟕𝟓−𝟑𝒙), 𝑪(𝒙)= 𝟏𝟐𝟓 + 𝟏6𝒙, where 𝒙 is in millions of chips, and 𝑹(𝒙) and 𝑪(𝒙) are in millions of dollars. Both functions have domain 𝟏 ≤ 𝒙 ≤ 𝟐𝟎. Find the break-even point(s) to the nearest thousands chips. SOLUTION: Breakeven point = R(x) = C(x)x(75 -3x) = 125 + 16x75x – 3×2 = 125 + 16×0 = 3×2 – 59x + 125 Using this formula to solve quadratic equation [pic 18] [pic 19]  [pic 20]x ≈ 17,251,000 or 2,415,000 (nearest thousand) HW1.Q7. [10 marks, Textbook, p. 90, P61]. From the dawn of humanity to 1830, world population grew to one billion people. In 100 more years (by 1930) it grew to two billion, and 3 billion more were added in only 60 years (by 1990). In 2013, the estimated world population was 7.1 billion with a relative growth rate of 1.1%.

Continue for 3 more pages »
Read full document
Download as (for upgraded members)
Citation Generator
MLA 7
CHICAGO
(2017, 01). Math 001 Homework 1. EssaysForStudent.com. Retrieved 01, 2017, from
“Math 001 Homework 1” EssaysForStudent.com. 01 2017. 2017. 01 2017 < "Math 001 Homework 1." EssaysForStudent.com. EssaysForStudent.com, 01 2017. Web. 01 2017. < "Math 001 Homework 1." EssaysForStudent.com. 01, 2017. Accessed 01, 2017. Essay Preview By: swammy Submitted: January 9, 2017 Essay Length: 751 Words / 4 Pages Paper type: Coursework Views: 1,243 Report this essay Tweet Related Essays 1. A 1998 Nissan Altima GXE is advertised for $17,990 with a down payment of $1,500. How much must be financed? Ans: Total Car Cost 521 Words  |  3 Pages Is Homework Helpful or Harmful to Students Homework has been around for a very long time. It is set and traced as a tradition of having teachers assigning work and students completing 2,006 Words  |  9 Pages Math in Life In the last few centuries, the number of people living on Earth has increased many times over. By the year 2000, there will be 10 502 Words  |  3 Pages Maths B Task 1. a). INSERT COMPLETE GRAPH The ball quickly reaches the highest point which is closest to the CBR. The displacement then increases as gravity 489 Words  |  2 Pages Similar Topics Math Lesson Plan Get Access to 89,000+ Essays and Term Papers Join 209,000+ Other Students High Quality Essays and Documents Sign up © 2008–2020 EssaysForStudent.comFree Essays, Book Reports, Term Papers and Research Papers Essays Sign up Sign in Contact us Site Map Privacy Policy Terms of Service Facebook Twitter