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Belinda wants to invest $1000. The table below shows the value of her investment under two different options for three different years: Number of years 1 2 3 Option 1 (amount in dollars) 1100 1210 1331 Option 2 (amount in dollars) 1100 1200 1300
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer. (2 points) Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points) Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option. (4 points)
@amoodarya @Michele_Laino @pinkbubbles help guys!!!
Part A. Option 1 is an arithmetic or linear progression. The investment increases by $300 /year Option 2 is a geometric or exponential progression. The investment increases by 12% /year Part B. Option 1: f(n) = 1000 + 300n Option 2: f(n) = 1000 * 1.12^n Part C. Substitute 20 for n in the above equations. So Option 1 after 20 years gives 7000, and Option 2 after 20 years gives 9646.29 Belinda should choose Option 2
thats the correct answers?
i want to make sure, because this its the second time i take this test
thank you so much @pinkbubbles i hope i get right
Welcome! Hope you get it correct too! c:
i finish now but can you check one question just told if im right/ please
The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price of two products, A and B, over time. The price f(x), in dollars, of product A after x years is represented by the function below: f(x) = 72(1.25)x Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points) Part B: The table below shows the price f(t), in dollars, of product B after t years:
t (number of years) 1 2 3 4 f(t) (price in dollars) 65 84.5 109.85 142.81 Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
answer: Part A: The price increases by 25% each year Part B: Every year, product B is increasing in price by 30%
Part A: is decreasing by 0.37
part b i'm not so sure
ITS fine i going to click finish my test
thank you for all you help