7C.2 An insurance policy sells for $2000. Based on past data, an average of 1 in 50 policyholders will file a $20,000 claim. An average of 1 in 100 policyholders will file a $45,000 claim. An average of 1 in 250 policyholders will file a $80,000 claim. Find the expected value (to the company) per policy sold (Hint: Income ($2000) - Expected claim payment). If the company sells 10,000 policies, what is the expected profit or loss?

7E.1 Five out of 10 people will be selected to join an international business team in a company. In how many ways can the five people be selected?

7E.2 What is the probability of drawing two Tens in a row from a standard deck of cards when the drawn card is not returned to the deck each time?

7E.3 Find the probability of guessing the top three winners (in any order) from a group of 10 finalists in a spelling bee.

8A.1 The price of new houses increased at a rate of 7.25% per year since 2015. a. Determine the growth type b. Suppose the price of a new house is 300,000 in 2015. How much will it be for such a new house in 2025?

8A.2 The population of a town is increasing by 88 people per year. Determine the growth type.

8A.3 You have one single bacterium in a bottle at 6:00am. It grows and divides into two bacteria at 6:01am. Each of the two bacteria grows and divides into two and the bottle has four bacteria at 6:02am. This doubling process for each bacterium continues. Find the number of bacteria at 6:12am.

8A.4 Given the table below, a. Determine the growth explain b. equation to represent the pattern of the data in the table c. What is the distance for 20 hours later?

Hour (x)	Distance in miles (y)
0	136
1	201
2	266

3	331
4	396
5	461

9B.1 A $1200 washing machine in a laundromat is depreciated for tax purposes at a rate of $75 per year. When does the depreciated value reach $0?

9B.2 Suppose the depth of snow is 3.4 inches now. Snow keeps accumulating at a constant rate of 3.8 inches per hour. Find the equation for the depth of snow with respect to hours. ("d" stands for depth and "h" stands for hour), and how long will it take for the depth to reach 15.2 inches?

9C.1 Given 1.5% annual drop of salary regarding the starting annual salary $55,000, what will the salary be after 5 years?

9C.2 The average price of a home in a town was $245,000 in 2013, but home prices are rising by 5% per year. Find the home price in 2020.

9C.3 The number of infected cases of coronavirus increased by 1.52% every day at Utah County. There were 32,900 people infected on November 5^th. How long will it take for half of the Utah County population (325,000) to be infected by coronavirus? Round your answer to the nearest whole case.

9C.4 Another mathematical model is proposed for predicting the number of daily "new" infected cases. Although the new cases increase on a daily basis, the model is proposed as a function of the number of "months" that have passed November 10^th. That is, the number of newly infected cases is 1100 on November 10^th, and the monthly growth rate is 67.8%. The model function is f(t)=1100(1+0.678)^t, Find the number of new cases on March 10^th (four months later). Round your answer to the nearest whole case.

A1. The event pass of an auto auction was $90. You bought a car and paid $9200 that included the event pass and tax. Suppose the tax was 7.5%, what was the price of the car that you bought (round your answer to the second decimal place).

A2. Suppose you need to purchase rolls of grass for landscaping your backyard. Store A sells 0.75 per square foot of grass. Store B sells 6.25 per square yard of grass. Your backyard is 32 feet 2 inches long and 25 feet 8 inches wide.

a. What is the price if you buy the grass from store A?

b. What is the price if you buy the grass from store B?

c. Which store has cheaper rolls of grass?

A3. Suppose you play a game of rolling a 12-face die. You win if you roll a "3" or "6" or "9" or "12". Otherwise, you lose.

a. What is the probability of winning a game?

b. What is the probability of losing a game?

c. Suppose you pay $10 to play the game. You get $10 if you win. Otherwise, you lose the $10. What is your expected value of play one game.

d. What is your expected value of play the game 50 times.

e. Is the game worth playing? Why? Please state your reason.

A4. Your friend started a YouTube channel and recorded the number of subscribers each week. The following is the data your friend collected.

Week	Number of Subscribers
0	17
1	30
2	50
3	85
4	128
...
10	?

The number of subscribers, based on the first four weeks, can be modeled by the following exponential function, wherex is the number of weeks since the channel was created:

a. Why is the model of the data not a linear function?

b. What is the initial number of subscribers (i.e., x=0)?

c. What is the percentage growth rate in the model?

d. How many subscribers would your friend have after 10 weeks, according to the function? Please round your answer to the ones place.

e. Ten weeks later, your friend found that the actual number of subscribers was 1,200. Why do you think the actual number of subscribes is way lower than the predicted number of subscribers? Please state your reason.