Jay has $500 in the bank when he decides to try a savings experiment. On each day i ∈ [1..30], Jay flips a fair coin. If it comes up heads, he deposits i dollars into the bank; if it comes up tails, he withdraws $10. How many dollars should he expect to have in the bank after 30 days?

Suppose a company offers you a job which will last only 100 days. The job pays $110 the first day and increases by $2.50 a day. a. What will you earn on the 100h day?

After a month of saving your allowance, you accumulated 10,000 in your account. You want to make more of this money and you just heard from your friends about “investing”. So you posted on your Facebook that you are looking for something you can invest your money. Two of your friends commented. One friend says, “Invest to me and after one month, your money will increase by 20% every 10 days.” Another friend of yours says, “Invest to me and your money will increase by 30% every 15 days for a month.” To whom you will invest?math

and B = %3D 3. Calculate-2A+B (: ) 3 6 -5 ...... ( ) 6 3

A bank employee receives 4 weeks of vacation every year, including the week between Christmas and New Year's. Out of the remaining 51 weeks of the year, how many different ways could he take his remaining 3 weeks of vacation? ( 1. SUBMIT QUESTION SAVE PROGRESS SUBMIT ASSIC

You work at a bank and are asked torecommend the amount of cash to put in an ATM each day. You don’twant to put in too much (security) or too little (customer irritation).Here are the daily withdrawals (in 100s of dollars) for a period of30 days.72 84 61 76 104 76 86 92 80 8898 76 97 82 84 67 70 81 82 8974 73 86 81 85 78 82 80 91 83(a) Construct a relative frequency histogram for the data using eightclasses.(b) If you put $9000 in the ATM each day, what percent of the days in amonth should you expect to run out of cash? Explain your reasoning.(c) If you are willing to run out of cash for 10% of the days, how muchcash, in hundreds of dollars, should you put in the ATM each day?Explain your reasoning.

Lacey is standing on top of one of the tallest buildings in her town. She stands at the edge of the roof and drops a basketball. The ball falls 120 feet to the pavement below and begins bouncing. Each successive bounce is 20% shorter than the previous bounce. Which explicit formula describes this situation?

During the first 12 hours a convenience store is open on Monday, the clerk expects to take in a total of $300 at a constant hourly rate. If the store opens at 6 AM., by what time during the 12-hour period does the clerk expect to have taken in S225 for the day? OA. 1 P.M. OB. 2 P.M. OC, 3 P.M. OD. 4 P.M.

Esteban's employer offers a pension plan that calculates the annual pension as the product of the final average salary, the number of years of service, and a 2% multiplier. His employer uses a graded vesting formula according to the schedule shown. Esteban has decided to change jobs after 3 years of service. What percent of his pension will he receive when he retires?

You are offered a job that pays $48,000 during the first​ year, with an annual increase of 10​% per year beginning in the second year. That​ is, beginning in year​ 2, your salary will be 1.1 times what it was in the previous year. What can you expect to earn in your fourth year on the​ job? Round your answer to the nearest dollar.