AMDM Final Review Spring Unit 4 Unit 6

AMDM Final Review Spring Unit 4, Unit 6, Unit 5 and Unit X

1. Rubbery bouncy balls have a very high rebound percentage of 55%. Using that rebound percentage and an initial height of 20 feet, determine a recursive rule for the height of a ball after each successive bounce. Each recursive function is built by doing something to the previous value.

2. A tree frog population doubles every three weeks. Suppose there are eight frogs in your backyard. How many will there be in 24 weeks? Week Frogs 0 8 3 16 6 32 9 64 12 128 15 256 18 512 21 1024 24 2048

3. Given the sequence: 15, 18, 21, 24, …, if A 1 = 15 , what is A 0 ? 12, 15, 18, 21, 24, 3 3 3 A 0 = 12 3

3. Given the sequence: 15, 18, 21, 24, …, if A 1 = 15 , what is A 6 ? 12, 15, 18, 21, 24, 27, 30, 3 3 3 A 6 = 30 3 3 3

5. The population of the world is about 7. 13 billion people and is growing at the rate of 1. 1% per year. a) Write a function rule that models the world’s population. b) Use your function rule to predict the population of the world in 45 years. billion

6. A rancher has decided to dedicate a 220 -square-mile portion of his ranch as a black bear habitat. Working with his state, he plans to bring 12 young black bears to the habitat in an effort to grow the population. His research shows that the annual growth rate of black bears is about 0. 75. Black bears thrive when the population density is no more than about 1. 5 black bears per square mile. a. What is the maximum sustainable number of black bears for the habitat? b. Give a recursive rule that will define this scenario. B 0 = 12 c. In what year will the bear population first exceed 200? The population exceeds 200 in year six. 0 12 1 20. 7 2 35. 2 3 58. 8 4 95. 0 5 145. 8 6 206. 8 7

1. A deposit of $3250 is made in a trust fund that pays 6% interest, compounded monthly. It is specified that the balance will be given to AMDM College after the money has earned interest for 50 years. How much will AMDM College receive? Both methods will give you the same answer. $67, 791. 86

2. Courtney has a balance on her Super Duper credit card of $3, 377 that charges her 20% interest compounded monthly. If she pays $200 a month, how long will it take Courtney to pay the card off? I will give you the TVM calculation output and then ask you how long. You need to look at the output and know that it will take about 20 months.

3. Woody and his wife want to finance $250, 000 to buy a house. The mortgage company gives them two options. The first option is 5% for 30 years and the second option is 5% for 15 years. What is the monthly difference in the two plans? Difference per month for the first 180 months.

4. Woody and his wife want to finance $250, 000 to buy a house. The mortgage company gives them two options. The first option is 4% for 30 years and the second option is 3. 25% for 15 years. What is the total difference in the two plans? Total difference in the two plans: $113, 473. 80

5. Fifteen years ago, Josh put money into an account paying 8% compounded monthly. If the account has $28, 000 now, how much money did he deposit? 15 years ago Josh deposited $8, 467. 09

6. If a bank requires a 15% down payment on a $24, 600 car how much will be financed? Or

7. For the function , what is the initial investment (present value). Present Value = 2600

1. What is the equation of a line that passes through the points (-8, 7) and (12, -8)? Write your answer in Slope-intercept form.

A microphone was used to collect data about a soundwave. The drawing to the right represents data from this experiment. X (0. 04, 7. 3) and Z (0. 14, 7. 3) each represent a crest and Y (0. 09, 1. 3) is the lowest point in a trough. 2. What is the period of this wave? X Z 3. What is the amplitude of this wave? Y 4. What is the vertical displacement of this wave?

5. The frequency of a sound wave can be found by taking the reciprocal of the period. What is the frequency of this sound wave? The unit for frequency is hertz. Period Frequency

6. A new medication called Math-Aide has a 30% flush rate is given in a 60 mg dose. After two months on the drug what is the range of the amount of medication we would expect to find in the bloodstream during the course of the day? Since a does of 60 mg gets the level in the bloodstream to 200 mg the minimum amount of the drug in the bloodstream must be 140 mg.

7. Suppose that a doctor determined that the appropriate level of Math-Aide in the bloodstream was 450 mg. What is the appropriate dose of the drug? Remember Math aide has a flush rate of 30%.

8. Consider Mrs. Brown from the SAS 11 scenario. What would her power bill be if she used 1, 350 kilowatt hours in one month? Rate $ 0. 14 $ 0. 20 $ 0. 26 Total Hours 1000 $ 350 $ 0$ 1350 $ Cost 140. 00 70. 00 210. 00

9. Using the same schedule as you just did for Mrs. Brown in #19 what would the bill be for Ms. Bella if she used 2, 300 kilowatt hours in on month? Rate $ 0. 14 $ 0. 20 $ 0. 26 Total Hours 1000 $ 500 $ 800 $ 2300 $ Cost 140. 00 100. 00 208. 00 448. 00