Question

a college has a 40% completion rate, meaning 40% of all students who start at the college complete their studies. the president of the college sets a goal of increasing this number by 30%. what will the completion - rate goal be as a percent? the goal will be % of students completing their studies. (type an integer or a decimal rounded to two decimal places.)

Explanation:

Step1: Convert percentages to decimals

The current completion rate is $40\% = 0.4$, and the percentage increase is $30\%=0.3$.

Step2: Calculate the increase amount

The increase amount is the product of the current rate and the percentage - increase. So, the increase amount is $0.4\times0.3 = 0.12$.

Step3: Calculate the new completion - rate goal

The new completion - rate goal is the sum of the current rate and the increase amount. So, $0.4 + 0.12=0.52$.

Step4: Convert the new rate to a percentage

To convert the decimal to a percentage, multiply by 100. So, $0.52\times100 = 52\%$.

Answer:

52