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4.2 To buy a new car is not a very good investment. In the first year the car willdecrease in value by 25%.4.2.1If the car costs R200 000, what will it be worth after 1 year? Simplify the expression.... Segment [tex]$s_1$[/tex] has endpoints at [tex]$(3+\sqrt{2},5)$[/tex] and[tex]$(4,7)$[/tex]. Segment [tex]$s_2$[/tex] has endpoints at [tex]$(6-\sqrt{2},3)$[/tex] and[tex]$(3,5)$[/tex]. Find the midpoint of the segment with endpoints at the midpoints of [tex]$s_1$[/tex] and [tex]$s_2$[/tex]. Express your answer as [tex]$(a,b)$[/tex]. If the amplitude of a sound wave is increased by a factor of four,how does the energy carry by the sound wave in each time interval change? The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?Ans 2280,2502,240 What is the solution to the inequality x(x 3) > 0? Dehydration synthesis leads to WICH formation A car takes a full round of journey in a roundabout with constant speed, as the driver got confused with the route. Can we consider it as a uniform motion? Why? Mt vt chuyn ng trn u c chu k T = 0,25 s. Tnh tn s chuyn ng f ca vt? The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university. No. of absences 0 1 2 3 4 5 6 7 8 9 Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2 a) Which variable is the explanatory variable? b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form). c) Compute the correlation coefficient d) Does a linear relation exist between the number of absences and the final grade? Justify your answer. e) Write out the least-squares regression line equation. f) Compute and draw the residual (on your scatter plot) for a student who misses 5 class meetings. g) Explain the slope in context. h) Is the y-intercept meaningful in this situation? Explain. i) Compute and interpret the coefficient of determination. j) Construct a residual plot to verify the requirements of the least-squares regression model. You have just started a new job and plan to save $5,200 per year for 36 years until you retire. You will make your first deposit in one year. How much will you have when you retire if you earn an annual interest rate of 9.54 percent?a. $1,331,411.17b. $1,394,509.68c. $1,346,423.14d. $1,268,312.65e. $1,333,878.83 Trong giai on bin ng kinh t ti Vit Nam nm 2008 , trong hon cnh lm pht tang cao , c kin cho rng s lng ngn hng thng mi ti Vit Nam qu nhiu (39 ngn hng , tng ng s ngn hng ca Indonesia, nhiu hn Malaysia, Philipines ), to ra lng tin bt t ln , gp phn lm tng t l lm pht . Anh/ Ch hy nu nhn xt ca mnh v kin ny If the car falls down the side of the cliff, what is happening to the gravitational potential energy of the falling car? (Assume the bottom of the cliff is zero) which type of material is the best sound absorber?a. glassb. woodc. concreted. carpet Which is the graph of the system x + 3y > -3 and y < 1/2x + 1 list 5 procedures done in nail preppingneed help _ On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for trials of this experiment.170, 206, 218, 232, 238, 248, 254, 264, 268, 281, 281, 281, 316, 320, 320, 329, 336, 365, 399, 400, 438, 438, 452, 524, 724, 8061. measures of central tendency do not exist for this data set?a. Mean b. Median c. Mode d. None of these measures2. Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. Which measures of central tendency would be affected by the change? Choose all that apply. Several years ago, Castles in the Sand Inc. issued bonds at face value of $1,000 at a yield to maturity of 8%. Now, with 7 years left until the maturity of the bonds, the company has run into hard times and the yield to maturity on the bonds has increased to 12%. What is the price of the bond now If a writer is arguing that capitalism has more benefitsthan socialism, then this evidence functions as aO claimO counterclaim.topic.O conclusion Find each event probability