Translate into an algebraic expressions:120 is increased by d % and increased by 25% . What is the result ?
120 * [1 + (d /100)] * (1 + .25)
To translate the given statement into an algebraic expression, we'll use the following steps:
Step 1: Express "120 is increased by d %" as an algebraic expression.
To increase a value by a percentage, we multiply it by (1 + (percentage/100)).
So, if 120 is increased by d %, the expression for the increased value would be:
120 × (1 + (d / 100))
Step 2: Express "the increased value is increased by 25%" as an algebraic expression.
Similarly, if the increased value is further increased by 25%, the expression for the final value would be:
(120 × (1 + (d / 100))) × (1 + (25 / 100))
Step 3: Simplify the expression and find the result.
To calculate the result, we evaluate the expression:
Result = (120 × (1 + (d / 100))) × (1 + (25 / 100))
It's important to note that the actual value of 'd' is not provided, so we can substitute any value for 'd' to calculate the result.