You will receive $4,000 at graduation 3 years from now. You plan on investing this money at 5 percent annual compound interest until you have accumulated $50,000. How many years from today will it be when this occurs?

Respuesta :

Answer:

54.7678 years or 54 years 9 month (approx)

Explanation:

Given:

Amount received From college = $4,000

Annual interest rate = 5% (compound)

Future amonut after investment = $50,000

Number of year's from Now = ?

Calculation:

[tex]Amount = P(1+r)^n\\50,000 = 4,000 (1 + 0.05)^n\\50,000 / 4,000 = (1.05)^n\\12.5 = (1.05)^n\\n = 51.7678[/tex]

Invested number of year = 51.7678

Total number of year from now = 3 + Invested number of year

= 54.7678 years or 54 years 9 month (approx)