Compound interest: it is found that an investment doubles in 'a' years

bagheerah

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[FONT=&quot]At an effective annual compound interest of i>0, it is found that an investment doubles in a years, triples in b years and 1 grows to 5 in c years.[/FONT]

  1. Is c greater than, less than or equal to (3a+b)/2?
  2. To what amount does 10 grow in (3a + 2b) years?
  3. In how many years will 1000 grow to 1200?
 
At an effective annual compound interest of i>0, it is found that an investment doubles in a years, triples in b years and 1 grows to 5 in c years.

  1. Is c greater than, less than or equal to (3a+b)/2?
  2. To what amount does 10 grow in (3a + 2b) years?
  3. In how many years will 1000 grow to 1200?
What are your thoughts? Please share with us
 
At an effective annual compound interest of i>0, it is found that an investment doubles in a years, triples in b years and 1 grows to 5 in c years.

  1. Is c greater than, less than or equal to (3a+b)/2?
  2. To what amount does 10 grow in (3a + 2b) years?
  3. In how many years will 1000 grow to 1200?
Hint. What is the formula for the future value of x invested at rate i?
 
Can you answer this:
at 12% annually, in how many years will 1000 grow to 5000?
 
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