Question

1. a woman put $580 into a savings account for one year. she earns $35 in interest, what is the percentage of interest? 5) a student answered 86 problems out of 120 on a test correctly. what percentage did she get on the test? (round to the nearest whole number) 6) manuel bought a wrecked dodge challenger that he could fix. he bought it for $360 less than the original price of $7200. how much of a discount did he get? 7) pamela bought an electric drill at 85% of the regular price. the regular price was $59 for the drill. how much did she pay? 8) a crew is made up of 8 men and 16 women. what percent of the crew are women?

Explanation:

Step1: Calculate percentage of interest in problem 4

The interest formula for percentage is $\text{Percentage}=\frac{\text{Interest}}{\text{Principal}}\times100$. Given principal $P = 580$ and interest $I=35$. So, $\text{Percentage}=\frac{35}{580}\times 100=\frac{3500}{580}\approx6.03\%$.

Step2: Calculate percentage of correct answers in problem 5

The percentage of correct - answers is $\text{Percentage}=\frac{\text{Number of correct answers}}{\text{Total number of questions}}\times100$. Given number of correct answers $n = 86$ and total number of questions $N = 120$. So, $\text{Percentage}=\frac{86}{120}\times100=\frac{8600}{120}\approx71.67\%\approx72\%$ (rounded to the nearest whole number).

Step3: Calculate original price and discount in problem 6

Let the original price be $x$. We know that $x - 360=7200$. So, $x=7200 + 360=7560$. The discount amount is $360$ and the original price is $7560$. The discount percentage $d=\frac{360}{7560}\times100=\frac{36000}{7560}\approx4.76\%\approx5\%$ (rounded to the nearest whole number).

Step4: Calculate price paid in problem 7

If the regular price of the drill is $x$ and the discount rate is $85\%$ (or $0.85$ as a decimal), then the price paid $y = 0.85x$. Given $x$ is such that $y$ is calculated. If we assume the regular price is $P$, then the price paid is $0.85P$. If we just consider the price - paid part, and assume the regular price is $1$ (for the sake of showing the relationship with the discount rate), the price paid is $0.85\times1 = 0.85$ or $85\%$ of the regular price.

Step5: Calculate percentage of women in problem 8

The total number of crew members is $8 + 16=24$. The number of women is $16$. The percentage of women is $\text{Percentage}=\frac{16}{24}\times100=\frac{1600}{24}\approx66.67\%\approx67\%$ (rounded to the nearest whole number).

Answer:

1. Approximately $6\%$
2. Approximately $72\%$
3. Approximately $5\%$
4. $85\%$ of the regular price
5. Approximately $67\%$