Certainly! Let's solve these problems step-by-step:
### Problem 38: Find 25% of 42
1. Identify the Percentage: We are asked to find 25% of 42.
2. Convert the Percentage to a Decimal: Percent means per hundred, so 25% can be written as [tex]\( \frac{25}{100} \)[/tex] or 0.25.
3. Multiply by the Value: Finally, multiply 42 by 0.25 to find 25% of it.
[tex]\[
0.25 \times 42 = 10.5
\][/tex]
So, 25% of 42 is [tex]\( 10.5 \)[/tex].
### Problem 39: A house increases in value from [tex]$225,000 to $[/tex]250,000. What is the percent increase for the house?
1. Determine the Initial and Final Values: The initial value of the house is [tex]$225,000, and the final value is $[/tex]250,000.
2. Calculate the Increase: Subtract the initial value from the final value to find the increase in value.
[tex]\[
250,000 - 225,000 = 25,000
\][/tex]
3. Find the Percent Increase: Divide the increase ([tex]$25,000) by the initial value ($[/tex]225,000) and multiply by 100 to convert to a percentage.
[tex]\[
\left(\frac{25,000}{225,000}\right) \times 100 = \left(\frac{25}{225}\right) \times 100 = \left(\frac{1}{9}\right) \times 100 \approx 11.11
\][/tex]
So, the percent increase in the value of the house is approximately [tex]\( 11.11\% \)[/tex].
### Problem 40: Convert [tex]\( \frac{9}{25} \)[/tex] to a percent
1. Identify the Fraction: We are given the fraction [tex]\( \frac{9}{25} \)[/tex].
2. Convert the Fraction to a Decimal: Divide the numerator by the denominator.
[tex]\[
\frac{9}{25} = 0.36
\][/tex]
3. Convert the Decimal to a Percentage: Multiply by 100 to convert the decimal to a percentage.
[tex]\[
0.36 \times 100 = 36
\][/tex]
So, [tex]\( \frac{9}{25} \)[/tex] as a percent is [tex]\( 36\% \)[/tex].
