Final answer:
Norman will take approximately 19.44 years to reach $50,000 with an annual interest rate of 3%.
Step-by-step explanation:
To calculate how long it will take for Norman to reach $50,000 with an annual interest rate of 3%, we can use the formula for compound interest:
P = P0 * (1 + r)n
Where:
- P is the future value ($50,000)
- P0 is the initial investment ($35,000)
- r is the annual interest rate (3% or 0.03)
- n is the number of years we want to find
Plugging in the values, we have:
$50,000 = $35,000 * (1 + 0.03)n
Now we solve for n:
(1 + 0.03)n = $50,000 / $35,000
Using logarithms, we can solve for n:
n = log1.03($50,000 / $35,000)
n = 19.44
Therefore, it will take approximately 19.44 years for Norman to reach $50,000 with an annual interest rate of 3%.