Michelle Payne deposited 20000 in a savings account paying 6.25% simple interest. How long in years will it take for her investment to amount to 30000

1 answer

We can use the formula for simple interest to determine how long it will take for Michelle's investment to amount to $30,000:

Simple Interest = Principal x Rate x Time

In this case:
Principal = $20,000
Rate = 6.25% or 0.0625
Amount = Principal + Simple Interest = $30,000

Simple Interest = $20,000 x 0.0625 x Time

We want to find the time it will take for the investment to amount to $30,000:

$20,000 + $20,000 x 0.0625 x Time = $30,000
$20,000 x (1 + 0.0625 x Time) = $30,000
1 + 0.0625 x Time = $30,000 / $20,000
1 + 0.0625 x Time = 1.5
0.0625 x Time = 0.5
Time = 0.5 / 0.0625
Time = 8

Therefore, it will take Michelle 8 years for her investment to amount to $30,000 at a simple interest rate of 6.25%.