a teacher earns $25'000a year and received a 5% cost if living increase in salary with merit increase. his salary increase by

.05 * 25000 = ?

Since you mention two increases, I'm not sure just what is to be done. I would not expect the COL increase to include the merit increase.

To calculate the teacher's salary increase after a 5% cost-of-living increase with a merit increase, follow these steps:

1. Calculate the amount of the cost-of-living increase:
- Multiply the current salary ($25,000) by the percentage increase (5% or 0.05):
$25,000 x 0.05 = $1,250

2. Calculate the amount of the merit increase:
- This information is not provided, so we'll assume a hypothetical merit increase of 2%.
- Multiply the current salary ($25,000) by the merit increase percentage (2% or 0.02):
$25,000 x 0.02 = $500

3. Add both increases to the current salary to find the total salary increase:
$1,250 + $500 = $1,750

Therefore, the teacher's salary would increase by $1,750. Their new annual salary would be $25,000 + $1,750 = $26,750.