Question

the washingtons buy a studio apartment for $240,000. they pay a down payment of $60,000. what percent is the down payment?
\frac{60,000}{240,000}=\frac{}{100}
a pizzeria has a total of 75 employees, 60% of which have worked there for more than three years. how many employees have worked there for more than three years?
hint: simplify 60%
employees
olivia is a stockbroker who makes 4% of her salary in commission. last week she sold $7200 worth of stocks. what was her commission?
her commission is $

Explanation:

Step1: Calculate the percentage of down - payment

To find what percent \(60000\) is of \(240000\), use the formula \(\text{Percentage}=\frac{\text{Part}}{\text{Whole}}\times100\). Here, the part is \(60000\) and the whole is \(240000\). So, \(\frac{60000}{240000}\times100=\frac{60000\times100}{240000}\). Simplify \(\frac{60000}{240000}=\frac{1}{4}\), and \(\frac{1}{4}\times100 = 25\).

Step2: Find the number of employees who worked more than three years

Given there are \(75\) employees and \(60\%\) of them worked more than three years. Convert \(60\%\) to a decimal: \(60\%=\frac{60}{100}=0.6\). Then use the formula \(\text{Number of employees}=0.6\times75\). \(0.6\times75=(0.6\times70)+(0.6\times5)=42 + 3=45\).

Step3: Calculate Olivia's commission

Olivia makes \(4\%\) of her sales as commission. Convert \(4\%\) to a decimal: \(4\%=\frac{4}{100}=0.04\). Her sales are \(7200\). Use the formula \(\text{Commission}=0.04\times7200\). \(0.04\times7200=(0.04\times7000)+(0.04\times200)=280+8 = 288\).

Answer:

The down - payment is \(25\%\).
The number of employees who worked more than three years is \(45\).
Olivia's commission is \(\$288\).