Question 1-Battery%0D%0AAlmost everyone these days has a portable technological device, like a cell phone, %0D%0Alaptop, video game console, or music player. We charge these devices so that we can %0D%0Ause them on the go. The amount of remaining battery is usually represented as a %0D%0Apercentage. %0D%0Aa. Choose one or more of these devices that you (or a friend or family member) %0D%0Aown, and look at the current battery level. Convert this percentage into a %0D%0Adecimal and a simplified fraction.%0D%0Ab. After about 1,000 charging cycles, smartphone batteries lose about one fifth of %0D%0Atheir charging capacity. A brand new phone is currently at 78%. What would %0D%0Athis phone’s battery percentage show after 1,000 charging cycles? After 500?%0AQuestion 2-Gas Prices%0D%0AIn the U.S. currency system, we represent monetary values with dollars and cents. %0D%0ABecause there are 100 cents in a dollar, monetary amounts are represented with at %0D%0Amost two decimal places. Gas prices are often shown to have more than two decimal %0D%0Aplaces. Find the local price of gas, and use that information to answer the following %0D%0Aquestions. Show all work.%0D%0Aa. Express the determined gas price as a dollar amount rounded to the nearest %0D%0Acent. Why do you think gas companies choose to show these prices into the %0D%0Athousandth and ten-thousandth place when we do not have currency to pay %0D%0Athese exact amounts?%0D%0Ab. The price displayed at a gas station is the price per gallon. What is the smallest %0D%0Anumber of gallons of gas you would have to buy for the price of the gas to %0D%0Ahave a whole number of cents? A whole number of dollars?%0D%0Ac. Express the price per gallon of gas as a mixed number.%0AQuestion 3-Interest Rates%0D%0AMoney that is kept in the bank earns interest. Interest is money paid to bank account %0D%0Aholders in repayment for allowing the bank to loan out their money. Interest rates are %0D%0Arepresented as a percentage of the amount of money in the bank account. Use this %0D%0Ainformation to answer the following questions.%0D%0Aa. Research a local bank, and determine their interest rate. Imagine you have a %0D%0Abank account with $10,000 in it. How much interest would you earn after the %0D%0Afirst year? How did you arrive at this number? Did you leave the interest rate %0D%0Aas a percentage, or did you convert it into a fraction or decimal? Explain

Answer 1

In order to answer these questions, you will need to conduct some research and gather specific information. Here are some examples to help guide you in answering each question:

Question 1:

a. Choose a device: Let's say you choose a cell phone and the current battery level is 60%. To convert this percentage into a decimal, you divide it by 100: 60 / 100 = 0.6. To convert it into a simplified fraction, you can express it as 3/5.

b. After 1,000 charging cycles, the phone's battery would lose one-fifth of its charging capacity. To calculate this, you multiply the initial battery level (78%) by 4/5: 78 * 4/5 = 62.4%. After 1,000 charging cycles, the phone's battery percentage would show 62.4%. To calculate the battery level after 500 charging cycles, you multiply the initial battery level (78%) by 2/5: 78 * 2/5 = 31.2%. After 500 charging cycles, the phone's battery percentage would show 31.2%.

Question 2:

a. Find the local gas price and express it as a dollar amount rounded to the nearest cent. For example, if the gas price is $2.579 per gallon, you would round it to $2.58.

b. In order for the price of gas to have a whole number of cents, you would need to buy a whole number of gallons. For example, if the gas price is $2.58 per gallon, you would need to buy at least 100 gallons to have a whole number of cents (100 * $2.58 = $258). To have a whole number of dollars, you would need to buy at least 1 gallon.

c. To express the price per gallon as a mixed number, divide the gas price by 1 dollar. For example, if the gas price is $2.58 per gallon, you would have 2 and 58/100 dollars per gallon.

Question 3:

a. Research a local bank and determine their interest rate. Let's say the interest rate is 2.5%. To calculate the amount of interest you would earn after the first year on $10,000, you can multiply the initial amount by the interest rate (as a decimal): $10,000 * 0.025 = $250. You can leave the interest rate as a percentage for this calculation.

Remember to consult reliable sources and adjust the calculations according to the specific information you gather.