An insurance company issues a policy on a small boat under the following conditions: • The replacement cost ($5000) will be paid for a total loss.
• If it is not a total loss, but the damage is more than $2000, then $1500 will be
paid.
• Nothing will be paid for damage costing $2000 or less.
• Nothing is paid out if there is no damage.
The company estimates the probability of the first three events as .02, 10, and .30
respectively. The amount the company should charge if it wishes to make a profit of
$50 above the expected amount paid out in a year is:

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?