Suppose an investment of $10,000 doubles in value every 13 years. How much is the investment worth after 52 years? After 65 years? Show your work.

Question

This question is confusing to me... i don't really understand how to write a function based on the information given.

Answer 1

 

start 10,000

13 yrs = 20,000

26 yrs = 40,000

39 yrs = 80,000

52 yrs = 160,000

 

total amount = 2^(Y/13) * P where Y = years and P = initial payment

 

let say Y = 13 years and P = 10,000

 

total amount = 2^(13/13) * (10,000) = 2^1 * (10000) = 20,000

 

 

let say Y = 39 years

 

total amount = 2^(39/13) * (10000) = 2^3 * (10000) = 8 * 10000 = 80,000

 

 

let say Y = 65 years

 

total amount = 2^(65/13) * (10000) = 2^(5) * 10000 = 32*10000 = 320,000