Question

1. (2 pts.) convert to a percent: 1.10

a. 0.0110% b. 1.10% c. 110% d. 11000%

1. (2 pts.) convert 1/5 to a percent.

a. 2% b. 5% c. 20% d. 1/5%

1. (3 pts.) convert 28% to a fraction in lowest terms.

a. 7/25 b. 28/100 c. 28/1 d. 28/10

1. (3 pts.) convert the number 0.42 to a fraction in simplest form.

a. 21/5 b. 42/100 c. 21/50 d. 41/100

1. (4 pts.) a condominium increases in value from $250,000 to $300,000. which following can be used to find the percent increase?

a. $300,000/$250,000
b. ($300,000 - $250,000)/$250,000
c. ($300,000 - $250,000)/$300,000
d. ($250,000 - $300,000)/$250,000

1. (4 pts.) a cell - phone that costs $200 to produce is marked up 65%. which gives the retail price of the phone, in dollars?

a. 0.65(200) b. 200 + c. 200 +

Explanation:

Step1: Recall percentage - decimal conversion rule

To convert a decimal to a percentage, multiply by 100. For 1.10, $1.10\times100 = 110\%$.

Step2: Recall fraction - percentage conversion rule

To convert a fraction $\frac{1}{5}$ to a percentage, first divide 1 by 5: $1\div5 = 0.2$, then multiply by 100: $0.2\times100=20\%$.

Step3: Recall percentage - fraction conversion rule

To convert 28% to a fraction, write it as $\frac{28}{100}$ and simplify. $\frac{28\div4}{100\div4}=\frac{7}{25}$.

Step4: Recall decimal - fraction conversion rule

To convert 0.42 to a fraction, write it as $\frac{42}{100}$ and simplify. $\frac{42\div2}{100\div2}=\frac{21}{50}$.

Step5: Recall percentage - increase formula

The formula for percent - increase is $\frac{\text{new value}-\text{old value}}{\text{old value}}$. For a value increasing from $250000$ to $300000$, the percent - increase is $\frac{300000 - 250000}{250000}$.

Step6: Recall markup formula

If the cost price of a cell - phone is $C = 200$ and the markup percentage is $r=65\%=0.65$, the retail price $R$ is given by $R = C+ rC=(1 + r)C$. Here, $R=200+0.65\times200$.

Answer:

1. C. 110%
2. C. 20%
3. A. $\frac{7}{25}$
4. A. $\frac{21}{50}$
5. B. $\frac{\$300000-\$250000}{\$250000}$
6. (The full option for 29 is not shown, but it should be $200 + 0.65\times200$)