please answer all

1)

John borrowed $4000 from a lender that charged simple interest at an annual rate of 8%. When John paid off the loan, he paid $1600 in interest. How long was the loan for, in years? If necessary, refer to the list of financial formulas. - | emEm A bank offers an investment account with an annual interest rate of 1.21% compounded annually. Carmen invests $4200 into the account for 2 years. Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas. (a) Assuming no withdrawals are made, how much money is in Carmen's account after 2 years? ' ' S - How much interest is earned on Carmen's investment after 2 years? $ (b) For the dinner special at a restaurant, the customer must choose a salad, an entree, a side dish, and a dessert. Here are the items to choose from. Choice Possible items Salad Garden, Southwest, Caesar Entree Grilled chicken, Salmon, Roast turkey, Lamb, Pot roast Side dish | Mixed vegetables, Pinto beans, Corn Dessert | Ice cream, Apple pie, Cheesecake, Brownies How many dinner specials are possible? D B Suppose we want to choose 2 objects, without replacement, from the 5 objects pencil, eraser, desk, chair, and lamp. (a) How many ways can this be done, if the order of the choices is relevant? X (b) How many ways can this be done, if the order of the choices is not relevant?There are two boxes containing only black and yellow pens. Box A has 10 black pens and 6 yellow pens. Box B has 3 black pens and 9 yellow pens. A pen is randomly chaosen from each box. List these events from least likely to most likely. Event 1: choosing a black pen from Box A. Event 2: choosing a black or yellow pen from Box A. Event 3: choosing a black pen from Box B. Event 4: choosing a yellow pen from Box B. Least likely _ Most likely EEN A survey of 8 retirees was taken. Among other things, the retirees were asked to report the age at which they retired. Here are those 8 ages (in years). 74, 65, 62, 75, 73, 60, 74, 74 I' Send data to calculator 'I (a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place. (b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. (c) How many modes does the data set have, and what are D zero modes their values? Indicate the number of modes by clicking in the ) one mode: appropriate circle, and then indicate the value(s) of the ' mode(s), if applicable. () two modes: and | Keiko has scored 75, 94, 74, 78, and 62 on her previous five tests. What score does she need on her next test so that her average (mean) is 75? X 5The price of a cup of coffee was $2.30 yesterday. Today, the price rose to $2.55. Find the percentage increase. Round your answer to the nearest tenth of a percent. [ -] -] A house has decreased in value by 24% since it was purchased. If the current value is $209,000, what was the value when it was purchased? XLisa wants to save money to open a tutoring center. She buys an annuity with a monthly payment of $29 that pays 3.2% interest, compounded monthly. Payments will be made at the end of each month. Find the total value of the annuity in 7 years. Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas. $ B Rachel is playing a carnival game. She is blindfolded while she throws a dart at a board of 12 balloons, as shown below. Each balloon is labeled "S" for small, "M" for medium, "L" for large, or "XL" for extra-large. The board has 3 small balloons, 5 medium balloons, 2 large balloons, and 2 extra-large balloons. She hits one of the balloons at randem and wins a stuffed animal of that size. 09 (a) Find the odds in favor of Rachel winning a medium stuffed animal. (b) Find the odds against Rachel winning a medium stuffed animal. A political campaign wants to estimate the number of adult residents who voted in the last city election. Answer the following. (a) Which of the following surveys probably would best represent the entire adult population of the city? ) 20 homeowners are randomly selected; 16 voted in the last election. ) 20 adult residents are randomly selected from the city; 14 voted in the last election. ) 20 senior residents are randomly selected; 15 voted in the last election. (b) There are 23,700 adults who live in the city. Using your answer from part (a), estimate the number of adults who voted in the last city election. adults After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 25 adults, all but 5 said they liked the movie, whereas out of 100 teenagers, all but 32 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. whereas At the movie premiere, (Choose one) | moviegoers liked the movie less. That is because only % of the |(Choose one) | moviegoers liked the movie. % liked the movie, Answer the questions below. (a) The 9 participants in an experiment had the following reaction times (in milliseconds): 776, 782,785,799, 805, 822,825,827, 1125. Which measure should be used to summarize the data? () Mean (_) Median () Mode (b) In a survey, 10 people reported how many soft drinks they drank in the last month. Here are their responses: 28,29,30,31,32,33, 34, 36, 38, 39. Which measure should be used to summarize the data? () Mean () Median (7) Mode (c) As part of the U.S. Census, the number of children is reported for each family in the U.S. Which measure gives the most common number of children for a U.S. family? () Mean (_) Median () Mode An investment company advertised that last year its clients, on average, made a profit of 7%. Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last year all of their clients made a profit of 7% or more. Last year, the number of their clients who made a profit of less than 7% was equal to the number of their clients who made a profit of more than 7%. __ This year some of their clients will make a profit of at least = 7%. __ | Last year some of their clients made a profit of more than 5%. __ Last year at least one of their clients made a profit of exactly 7%. None of the above statements are true. A drug trial had 415 participants. A survey was taken to determine how many had nausea as a side effect and how many had anxiety as a side effact. The Venn diagram below shows the results. (Each number gives the number of participants who fall into that Venn diagram category.) All participants in the survey (a) How many of the participants had nausea? Ha . nausea participants (b) How many of the participants had neither nausea nor anxiety? participants (c) How many of the participants did not have both nausea and anxiety? participants