Anthony and Michelle Constantino just got married and received $39000 in cash gifts for their wedding. How much will they have on their twenty-fifth anniversary if they place half of this money in a fixed-rate investment earning 6 percent compounded annually? Would the future value be larger or smaller if the compounding period was 6 months? How much more or less would they have earned with this shorter compounding period? If they place half of this money, PV, in a fixed-rate investment earning 6 percent compounded annually, the amount they will have, FV, on their twenty-fifth anniversary is $ . (Round to the nearest cent.)

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

Acompany that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. prior to buying the new equipment, the company used 6 workers, who produced an average of 79 carts per hour. workers receive $16 per hour, and machine coast was $49 per hour. with the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour while output increased by four carts per hour. a) compute the multifactor productivity (mfp) (labor plus equipment) under the prior to buying the new equipment. the mfp (carts/$) = (round to 4 decimal places). b) compute the productivity changes between the prior to and after buying the new equipment. the productivity growth = % (round to 2 decimal places)

On april 1, the cash account balance was $46,220. during april, cash receipts totaled $248,600 and the april 30 balance was $56,770. determine the cash payments made during april.