Percentages pt 2 GW

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School

Nevada State College *

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Course

120

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Aerospace Engineering

Date

Oct 30, 2023

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pdf

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Name: Math 120 Percentages Part 2 GW 1. A population numbers 1,944 organisms initially and increases by 5.2% each year. a. Write an exponential function for the population of the organisms. b. Predict the number of organisms after 7 years. 2. A population numbers 17,000 organisms initially and decreases by 8% each year. a. Write an exponential function for the population of the organisms. b. Predict the number of organisms after 2 years. 3. In 2014 Rose invested $16,000 in a savings account for her newborn son. The account pays 3.6% interest each year. Determine the total value of the account in the year 2032, when her son will go to college. Round your answer the nearest cent. Shina Mae Hamera P(n) 1,944(1 + 0.052) a 1,944 r 5.2% 0.052 ↑ Al, 9214 (1.052) " P(7) 1,944(1 + 0.052) P(7) 1,944(1.852)7 "i 2,772.084 2.772.88 After 7 years, the population number of organisms is 2,772.08 G= 17,000 r 8% 0.08 P(n) 17,000(1 0.08) ⑭ = 17,000 (D.92) n P(2) 17,000 (1 0.08) P(2): 17,000 (0.91) " P(1) 14380 or, ? year . the population one - S(H) 16,000 (1 0.036) + a $ 16,000 v 3.6% 0.036 Find + (number of years y = 18 ↑ mopts the total value these y = 1892 2014 18 · (18) 16,000 (1 + 0.036)"8 <(18) = 16,000 (1.036) 18 S (18) 30,240.96 30,241,

Name: Math 120 Percentages Part 2 GW 4. A new home is purchased for $200,000. The value of the home increases by 1.5% every 5 years. a. Write an exponential function for the value of the home using time in years as the input quantity. b. Determine the value of the house after 12 years? 5. When a new charter school opened in 2010, there were 970 students enrolled. Using function notation, write a formula representing the number of students attending this charter school t years after 2010, if the student population: a. Increases by 73 students per year. b. Decreases by 36 students per year. c. Decreases by 9.4% per year. d. Increases by 6.1% per year. e. Remains constant (does not change) 6. The Total Return on an investment is the relative change in the investment value over a given time period. Total Return = ࠵?࠵?࠵?࠵?࠵?࠵? ࠵?࠵?࠵?࠵?࠵?−࠵?࠵?࠵?࠵?࠵?࠵?࠵? ࠵?࠵?࠵?࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵? ࠵?࠵?࠵?࠵?࠵? Jenelle pays $12,500 for shares in a new company. She sells the shares 10 years later for $24,000. What was her total return on this investment? Round your answer to the nearest tenth of a percent. Shina Mae Hamera ② > > D: $ 200,000, r = 1.5% = 0.015 every 5 years - It) $ 200,000 (1 + 0.0159 15 U(t) = $ 200,000 (1 0.015) "15 V(t) = $ 200,000 (1.015) "15 V(t): $ 207, 275.75 impalussot no ene S(t) 978) + 7 3 + or S(t) 73t + 930 S(t) 978) 3lt or S() 36t 930 S(t) 970 (1 0.094) + S(t) 970 (1 0.04) S() = 970 - - Total Return =0007170 e = 0.92 = 7 0.92x100 = 90 min

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