Tickets for the historical review of ballroom dancing at the portsmouth music hall cost $42 for the main-floor seats and $25 for the balcony seats. let m represent the number of tickets sold for the main-floor seats and let b represent the number of tickets sold for the balcony seats. what is the algebraic expression for each of the following amounts?

(a) the cost in dollars of all the main-floor seats that were sold
(b) the total number of seats that were sold for the performance

Jennifer purchased a house in a brand new development in the outskirts of town. when her house was built, the nearest fire department was nearly 20 miles away. as her neighborhood developed, the density of the community called for a new fire department 1.5 miles away. what effect will the new fire station have on her homeowners insurance premium? a. a new fire department will be more demanding on local taxes. her annual premium will go up. b. the location of a fire department has no bearing on the value of her house. her annual premium will stay the same. c. the new fire department will reduce the risk of financial loss in her home. her annual premium should decrease. d. with a fire department so close (less than 5 miles), financial risk on jennifer’s home practically disappears. she will not need to pay insurance anymore.

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.)

Interest is credited to a fixed annuity no lower than the variable contract rate contract guaranteed rate current rate of inflation prime rate