Final answer:
It will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.
Step-by-step explanation:
To find out how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%, we can use the simple interest formula:
Interest = Principal × Rate × Time
Where:
- Principal is the initial amount of money, which is $1,000 in this case
- Rate is the interest rate as a decimal, which is 12.5% or 0.125
- Time is the number of years it will take for the amount to accumulate, which we need to find out
Substituting the values into the formula:
Interest = $1,900 - $1,000
$1,900 - $1,000 = $900
$900 = $1,000 × 0.125 × Time
To find Time, we can rearrange the formula:
Time = $900 / ($1,000 × 0.125)
Time = 0.72 years
Therefore, it will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.