Answer:
2.5 years
Explanation:
The given amount invested, which is the principal, P = $16,800
The simple interest rate, R = 5% per annum
The intended total value of the investment, A = $18,900
The simple interest on the principal, I = A - P
∴ I = $18,900 - $16,800 = $2,100
The formula for the simple interest, I, is given as follows;
![I = (P * R * T)/(100)](https://img.qammunity.org/2022/formulas/mathematics/high-school/st1mwzw8181ke5yf2x5oyud1ef9rjy19yw.png)
Therefore, we have;
![T = (I * 100)/(P * R)](https://img.qammunity.org/2022/formulas/mathematics/high-school/lkh3fmg3ao3jcneo7aa1vxn970pxbpwllt.png)
Plugging in the values, gives;
![T = (2,100 * 100)/(16,800 * 5) =2.5](https://img.qammunity.org/2022/formulas/mathematics/high-school/7w0ajcs1ngtlqdczinycw89g3wapikl4rr.png)
The time it will take the investment to grow to $18,900 is T = 2.5 years