52. Which of the following is a valid assertion that can be proved by Principle o Mathematical Induction? A. 2^ngt 2n+1 for every natural number greater than or equal to I B. 2^ngt n^2 for every natural number greater than or equal to 5 C. n^2+5ngt 3n^2 for every natural number greater than or equal to 2 D 3ngt 2^n for every natural number greater than or equal to I

During --(1)...WATER molecules move from a solution with a HIGH WATER concentration to a solution with a LOW WATER concentration across a (2 -- PERMEABLE membrane. 1: osmosis; 2: fully 1: diffusion; 2: fully 1: osmosis; 2 : partially 1: diffusion; 2: partially

16. The head of English created the following table showing the number of pupils in each year group who had additional help in English Express in percentage the total number of pupils that are not having additional tuition. Give your answer to the nearest whole number. (4Marks) Year Group No, of pupils additional help in English square 96 15 square square square disappointed square 21 square 9 square 111 square square 16 square square 9 square square disappointed square disappointed square disappointed ONET Curriculum Development, Assessment and Certification Council 17. The plan shows the dimensions of an L-shaped sitting room. The house owner wants to buy skirting board to go around the edge of the room, leaving gaps at the doors. Determine the shortest length of skirting board he can buy. (4 Marks) Not drawn to scale 18. The diagram below shows the plan of a patio. The patio is to be paved with square paving slabs of sides of 0.5 meters. Calculate the number of slabs required. (5Marks) Not drawn to scale 19. A tin of shoe polish is 8 cm in diameter and 2 cm high. The shoe polish must be stored in an upright position. Find the number of tins that will fit into a carton of dimensions 40 cm by 32 cm by 10 cm. (5 Marks) March. /Apr. 2021

HORN INTERNATIONAL UNIVERSITY COLLEGE DEPARTMENT OF PUBLIC ADMINSTRATION FINAL EAXM FOR Mathematic for Management Exam Weight :40% Time Allowed:2hrs :40% Name: ID No: Signature Part One: if statement is correct write True but if the statement is incorrect write false (8% ) 1. Any number to the power of zero is two 2. A base to the power-x is equivalent to one of those base so the power x 3. When multiplying two powers of the same base always add the exponents 4. When dividing ax by ay Add the exponents 5. If interest is paid on the initial amount only and not on the subsequent accrued interest is called compound interest. 6. If the sum of money "P" is invested at a simple interest its value increases by the same amount each year 7. The different between money now and the same money in the future is called interest 8. Interest paid on interest reinvested is called simple interest Part II: Choose the best Answer (20% ) 1. If interest is paid on the initial amount of money invested or borrowed only and not on subsequently accrued interest, it is called? A. Interest B. simple interest C. compound interest D. compound Amount 2. How much money you have to deposit in an account today at 5% simple interest rate if you are to receive Br.6,000 as an amount in 20 years? A. 2800 B. 41235.5 C 3000 D. 2500 3. At what interest rate will Br. 5000 yield Br.2,000 in 10years'time? A. 5% B. 10% C. 4% D. 3% 4. If you borrow Br 1. 000 from Commercial Bank of Ethiopia for year to pay a 6% interest rate your tuition fee. What will be the simple A. 60B. 40 C. 600 D. 6 5. From equation 5 above the maturity value of the loan will be? A. 10600 B. 1060 C. 1006 D. 106 6. The original Str of money that is lent or invested/borrowed is called the A. principal B. Ampr:C. Interest D. interest rate 7. Find the Interest on Br.5,000 at 10% for 1 year? A 500 B. 5000 C 50 D. 50,000 8. find the interest rate if 1,000 birr is earned 45 Birr at simple interest rate in 6 months? is equal to log:642 A. 6 B. 16 C 32 D. 64 9. Which one of the following is not Power Function? A 2^xBcdot x^-3 C. x^2 D. x^3

You are an equity analyst covering a technology company that recently d iversified into the healthcare sector.Which of the following steps is e ssential in your approach to evaluating the company's.financial performance and valuation accurately? Analyzing both the technology and healthcare industries separately understanding the causal linkages, and integrating these insights into the valuation model. Utilizing the same market share forecasts for both technology and healthcare sectors, as this simplifies the model: Focusing solely-on the technology industry drivers, as this represents the company's core business.

2. Calculer les limites suivantes si elles existent a lim _(zarrow 0)(vert zvert ^2)/(z) b lim _(zarrow -2i)((2z+3)(z-1))/(z^2)-2z+4 3. Calculer u et v(z=x+iy;w=u+iv) si a. . w=z^3 b. w=(1+z)/(1-z)

27 .which of the following is true about the function f(x)=(7x)/(x^2)-3x A. The graph of f has two vertical asymptotes. B . The function fhas no y-intercept C . The x-intercept of fis the port (0,0) D fis symmetric with respect to the origin. 28. Consider two lines l_(1):2x-3y+5=0 and l_(2):x+5y-1=0 on the xy- pane .What is the angle between the two lines l_(1) and l_(2) (measured from l_(1) to l_(2) counter-clockwise )? A. 150^circ C. 30^circ B. 135^circ D. 45^circ 29 Let u=(1,-4),v=(k,6) be vectors . Then what is the value of k so that u-2v=(5,-16) ? A. -4 B. 4 C. 2 D. -2 30 . Which of the following is true about the function f(x) f(x)=-(1)/(3)sin(2x) ? A. The period of f is 2pi B. f(x)gt 0 for (pi )/(2)lt xlt pi C . The range of f is [-1,1] D The graph of fis decreasing on [(pi )/(4),(3pi )/(4)]

James sees a truck at the dealership for 20,000 base price, 1,400 premium interior, 800 navigation touch-screen, and 1,000 smart traffic sensors . If his current vehicle is worth 5,000 and he's offered a 60% trade-in rate, what is the total cost of the truck after the 900 destination fee?

< Previous Bookwork code: 28 c is inversely proportional to p. c=9 when p=7 a) Use the information above to write an equation for c in tern b) What is the value of c when p=5 Give any decimal answers to 1 d.p. (1) Watch video

What is the slope of the line in this plot? 3.5 7 -2 -7

MAGNESIUM has 3 ISOTOPES of differing mass and in different proportions shown below . Which option shows how we calculate its relative atomic mass (A_(r)) in g/mol {}^24Mg:79% {}^25Mg:10% {}^26Mg:11% ((179+10+11)times (24+24+26))/(100)=75 ((79+24)times (10+25)times (11+26))/(100)=1333.9 ((79times 24)+(10times 25)+(11times 26))/(100)=24.3 ((79times 10times 11)+(24times 25times 26))/(100)=242.9