the formula below to determine their monthly payment, to the nearest dollar . monthly payment amount borrowed annual interest rate total number of monthly payments 32 An angle, , is in standard position and its terminal side passes through the point . Find the exact value of . 33 Solve algebraically for all values of x :
Algebra II CCSS Regents Exam 0618 Page 10 34 Joseph was curious to determine if scent improves memory. A test was created where better memory is indicated by higher test scores. A controlled experiment was performed where one group was given the test on scented paper and the other group was given the test on unscented paper. The summary statistics from the experiment are given below. Scented Paper Unscented Paper 23 18 s x 2.898 2.408 Calculate the difference in means in the experimental test grades (scented -unscented). A simulation was conducted in which the subjects' scores were rerandomized into two groups 1000 times. The differences of the group means were calculated each time. The results are shown below. Use the simulation results to determine the interval representing the middle 95% of the difference in means, to the nearest hundredth . Is the difference in means in Joseph's experiment statistically significant based on the simulation? Explain.
Algebra II CCSS Regents Exam 0618 Page 11 35 Carla wants to start a college fund for her daughter Lila. She puts $63,000 into an account that grows at a rate of 2.55% per year, compounded monthly. Write a function, , that represents the amount of money in the account t years after the account is opened, given that no more money is deposited into or withdrawn from the account. Calculate algebraically the number of years it will take for the account to reach $100,000, to the nearest hundredth of a year . 36 The height, in cm, of a piston, is given by the equation , where t represents the number of seconds since the measurements began. Determine the average rate of change, in cm/sec, of the piston's height on the interval . At what value(s) of t , to the nearest tenth of a second , does in the interval ? Justify your answer. 37 Website popularity ratings are often determined using models that incorporate the number of visits per week a website receives. One model for ranking websites is , where x is the number of visits per week in thousands and is the website's popularity rating. According to this model, if a website is visited 16,000 times in one week, what is its popularity rating, rounded to the nearest tenth ? Graph on the axes below. An alternative rating model is represented by , where x is the number of visits per week in thousands. Graph on the same set of axes. For what number of weekly visits will the two models provide the same rating?
Algebra II CCSS Regents Exam 0618 1 ANS: 2 PTS: 2 REF: 061801aii NAT: A.REI.C.7 TOP: Quadratic-Linear Systems KEY: AII 2 ANS: 2 PTS: 2 REF: 061802aii NAT: F.IF.C.7 TOP: Graphing Exponential Functions KEY: AII 3 ANS: 3 PTS: 2 REF: 061803aii NAT: A.APR.D.6 TOP: Rational Expressions KEY: factoring 4 ANS: 2 PTS: 2 REF: 061804aii NAT: S.ID.B.6 TOP: Regression KEY: choose model 5 ANS: 3 PTS: 2 REF: 061805aii NAT: N.CN.A.2 TOP: Operations with Complex Numbers 6 ANS: 2 PTS: 2 REF: 061806aii NAT: F.BF.B.3 TOP: Even and Odd Functions 7 ANS: 1 , , , PTS: 2 REF: 061807aii NAT: F.IF.B.6 TOP: Rate of Change KEY: AII 8 ANS: 1 PTS: 2 REF: 061808aii NAT: A.APR.C.4 TOP: Polynomial Identities 9 ANS: 4
Algebra II CCSS Regents Exam 0618 PTS: 2 REF: 061809aii NAT: A.REI.A.2