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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)
I ONLY NEED PART C IGIVE MEDALS :)
20 year value, n = 20, put that in both of your functions from part B
can you show me how to solve it
what are your functions from part b ?
1300+300n 1300+300n* 1.3n
hmm The first option is exponential form (1000)*(r)^n The second option is linear form 1000 + n*d have to figure what r and d are
Option 1) THe function looks like (initial investment)*(r)^n \[f(n) = 1000*(r)^n\] r is the common ratio of consecutive terms 1300/1000 = 1.3 or 1690/1300 = 1.3 or 2197/1690 = 1.3 r is 1.3
f(n) = 1000(1.3)^n
Each next term is the previous multiplied by 1.3
Option 2) Each term increases by the same amount over the previous term, it is always 300 more
f(n) = (starting value) + n*(common difference) f(n) = 1000 + 300*n
so i use this to solve for the difference right?
1) f(n) = 1000(1.3)^n 2) f(n) = 1000 + 300*n yep, put n=20 in both options and calculate the values
do i subtract both of the answers i get for the answer
you dont have to, just compare them
option 1 should be way larger
yes it was that you so much :)