James just received an $8,000 inheritance check from the estate of his deceased rich uncle. James wants to set aside enough money to pay for a trip in five years. If the trip is expected to cost $5,000, how much of the $8,000 must James deposit now if the rate of return is 12% per year in order to have the $5,000 in five years

As a group is leaving, you ask them if they had a good experience at the restaurant. they mention that they had poor service and their food was cold. a. apologize and ask them to give the restaurant another chance in the future. you tell them that guests usually have a great experience here. b. apologize then ask for the server’s name and immediately notify the manager after they leave. c. apologize for the bad experience and ask them to wait as you call the manager to talk to them. d. apologize for the bad experience and encourage them to complete the customer service survey. this feedback will ensure other guests do not have the same experience.

Arival company manufactures fuel tanks for cars using a different production technique. the total weekly cost (in dollars) of producing x tanks is given by c(x) = 10000 +90x - 0.04x2 find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit (round to the nearest 2 decimal places, if needed)

One question from a survey was "how many credit cards do you currently have? " the results of the survey are provided. complete parts (a) through (g) below. click the icon to view the survey results. (a) determine the mean number of credit cards based on the raw data. the mean is 3.113.11 credit cards. (type an integer or a decimal. do not round.) (b) determine the standard deviation number of credit cards based on the raw data. the standard deviation is 1.9111.911 credit cards. (round to three decimal places as needed.) (c) determine a probability distribution for the random variable, x, the number of credit cards issued to an individual. x (# of cards) p(x) x (# of cards) p(x) 1 0.280.28 6 nothing 2 nothing 7 nothing 3 nothing 8 nothing 4 nothing 9 nothing 5 nothing 10 nothing (type integers or decimals. do not round.)