WordPress.com



Math Exam Review Chelsey has $2400 to invest for 10 years. Calculate the interest earned on each investment and clearly stat which investment will earn more interest. Round to the nearest cent.Option A: 3.5 % simple interest paid semi- annually Option B: 3.2% compound interest compounded annually When Harris was born, his grandparents mad an investment of $3000 for him. The investment earns 7.2 % interest, compounded monthly for 5 years. What is the future value of the investment? Round to nearest cent.How much interest was earned on this investment? Round to nearest cent.What was the rate of return? Round to nearest tenth of percent. Jason is 35 years old and he plans to retire when he is 60 years old. When he retires he wants an investment with a future value of $200 000. To meet his goal, how much should Jason invest now in an investment that earns 8.4% interest, compounded quarterly. Round to nearest cent. Graphing Calculator – John deposited the same amount of money every month for 10 years in a savings account that earns 6.1% compounded monthly. The future value of this investment is $5800. How much did he deposit each month. Round to nearest cent.TEST 2 Simon borrowed $4500 at 4.8% compounded monthly, to buy a riding lawn mower for his summer business. He has arranged to pay off the loan with a single lump sum payment at the end of 3 years.What was the total repayment of the loan?What amount of interest did he pay? A new ski doo is purchased for $19500. The value of the ski doo depreciates by 18% per year. What is the value of the snowmobile in 4 years? (show algebraic work) Graphing calculator – Kara has a student loan of $62000 at 4.6% compounded monthly. She plans to repay the loan over 10 years.Determine Kara’s monthly loan paymentWhat interest will she pay over the term of the loan?How much will the total repayment of the loan be? Graphing calculator – Gina wants to buy a car for $24000. The dealership offers her $4000 for her old car and has agreed to finance the loan for 2.5 % compounded monthly. Regular monthly payments of $600 will be made at the end of every month. How long will it take to a pay off the loan?How much interest will she pay?How much will the total repayment of the loan be?Test 3 Express 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 in factorial notation Evaluate 102! 100!0! =8C2 =A license plate has 6 characters. The first 3 characters are upper case letters and the last three characters are digits. Digits from 0 to 9 can be used.How many different plates are there if repetition of characters is not allowed?How many different plates are there if the first letter must be P. E, Q, M, or K and repetition of characters is allowed? How many distinctly different arrangements can be made using all the letters in the following wordsCOOKBOOKb) SWEETNESS A school club consisting of 10 people needs to choose a 4 person executive committee. In how many distinct ways the positions of president, vice president, secretary and treasurer be filled? (Each position has to be held by a different person – a person cannot fill more than one position) A new survey is being done at Westile, where 5 students are going to be chosen from a class containing 30 students. How many ways can the 5 students be chosen?Twelve runners are in a race. The top three runners win gold, silver, and bronze medals. In how many different ways could the medals be awarded to the runners? A committee is to be selected from a class with 10 women and 8 men. In how many ways can a committee of 6 people be formed? Suppose that 4 teachers and 6 students volunteered to be on an environmental action committee. The committee much consist of 2 teachers and 3 students. How many different environmental action committees does the principal have to choose from? The block diagram shown below represents city blocks, with the lines indicating streets. Susan is at point A and is going to travel to point B by going only South or East. How many different routes can she travel?A BTEST 4One card is drawn from a shuffled deck of 52 playing cards. Determine the probability of each event. Express answer as a reduced fraction. Draw a Venn diagram for each. State whether it is mutually exclusive or non-mutually exclusive. The card is a King OR JackThe card is a red card OR a Queen Hans tosses a coin and then draws a card from a standard deck of 52 playing cards. Determine the probability that he will toss a head AND draw an 8 Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a king? A coin is tossed and a six sided die is rolled. Determine the probability that you get a head and a 3. There are three children in the Dalton Family. Determine the probability that all the children are girls? (girl, girl and girl) Anna draws a card from a well shuffled deck of 52 playing cards without replacing it. She draws another card from the deck without replacement. Determine, to the nearest tenth of a percent, the probability of getting a red card and a red card? Liam had 7 red marbles and 5 blue marbles in a bag. He draws two marbles, one after another, without replacement. Express answer as a percent, to one decimal place. Determine the probability the first marble is red and the second marble is blue (in that order). Leslie has four identical black shirst and six identical white shirts loose in her dresser drawer. She pulls out one shirt at random and then another shirt, without replacing them. Determine the probability that she pulls out a black shirt and a black shirt. Express answer as reduced fraction. A survey reported that 54% of households have dogs, 35 % have cats and 25% have neither cats or dogs. Suppose that a household is selected at random. Determine the probability that there are just cats in the household (no dogs). Complete all parts of a Venn Diagram and clearly indicated your final answer. Use the following Venn diagram to answer the following questions. The diagram represents a grade 6 class of 40 students and the activities that they are involved in. Express answer as a percent to the nearest whole number.What is the probability that a student takes music?What is the probability that a student takes both drama and music?What is the probability that a student does not take either drama or music?What is the probability that a student in the class takes drama or music. The probability that Eva will go to the gym on a Saturday is 0.60. The probability that she will go shopping on Saturday is 0.45. The probability that she will do neither is 0.3.Draw a Venn diagram to illustrate this situation.Determine the probability that Eva will do both activities. Express as a percent.Determine the probability that she will do at least one of these activities. Express as a percent. Natasha is the coach of a soccer team. Based on the team’s record, it has a 60% chance of winning given it is raining and a 50% chance given it is not raining. Tomorrow, there is a 20% chance of rain. There are no ties in this soccer league. What is the probability that Natasha’s team will win tomorrow? Express final answer as a percent.TEST 5 A large bicycle retailer collects data on the number of bicycles in each store compated to floor space of each store. The data is given in the table below.Number of bikes6056208527055Floor Space (Sq. feet)140011403250110015001280Determine the equation of the linear regression function. Round all values to two decimal places.Predict the area of the floor space required for 90 bikes. Round to the nearest whole number and include units (show work algebraically).Predict the number of bikes in a store with 3000 sq. feet of floor space. Round to the nearest bike and include units. (show work algebraically) Aisha screen prints T-shirts for sale at concerts. When buying blank T-shirts, the price Aisha must pay is related to the size of the order. Four of her previous orders are listed below. She misplaced the information from her supplier about prices on bulk orders.Number of shirts225310400750Cost per shirt14.9014.5614.2012.80Determine the equation of the linear regression function. Do not round any values in equation. Keep all decimal places.Interpolate the price per shirt if she orders 625 shirts. Do not round, include unit. (show algebra) A university kept track of the attendance at a soccer home game in the table below.Game13691416Attendance158014601405142216801835Determine the equation of the quadratic regression function that models how the attendance is a function of the game being played. Round to 4 decimal places.Use the regression equation to predict the attendance at game 5. Show work. Round to nearest whole number. Show ally work algebraically.Predict how many games were played when 1605 people attended the game. Round to nearest whole number and include units. Use calculator to solve.TEST 6 Determine if the following data tables represent an exponential function. If the data is exponential, determine the equation in form y=a(b)x. and state whether the function is increasing or decreasing.a)x-2-10123y0.010.11102050b)x-10123y15451354051215c) x0123y163264128x-1012y140703517.5 In 2007, there were 400 facebook subscribers. The number of subscribers increased on average by 48 % per year after 2007. Assuming this growth rate continues what will be the number of facebook subscribers in 2012? Round to nearest person. The fish population of Lake Banook was 4800 in the year 2010, and the population is decreasing by 6% per year. Estimate the fish population in the year 2030. Round to nearest fish. The population of a town is increasing exponentially at a rate of 2.8 % per year. If there are 150685 people in the town today, what will the population be in 8 years? Round to nearest person. The following data table shows the amount of caffeine in Carl’s body after drinking an energy drink containing 74 mg of caffeine.Hours01356Caffeine levels (mg)7455311813Use exponential regression to model the data. Determine the equation using the graphing calculator. Round all values to two decimal places.Estimate the amount of caffeine in his system after 11 hours to the tenths place. Show your work algebraically using the rounded equation in part A. Include proper units and round to one decimal place.How long does it take the caffeine levels to reach 36 mg? Round to the tenths place and include units. ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download