You're trying to save to buy a new $160,000 tesla. you have $78,000 today that can be invested at your bank. the bank pays 6 percent annual interest on its accounts. how many years will it be before you have enough to buy the car? assume the price of the car remains constant.

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.

Skychefs, inc. prepares in-flight meals for a number of major airlines. one of the company's products is grilled salmon in dill sauce with baby new potatoes and spring vegetables. during the most recent week, the company prepared 4000 of these meals using 960 direct labor hours. the company paid these direct labor workers a total of $19,200 for this work, or $20.00 per hour. according to standard cost card for this meal, it should require 0.25 direct labour-hours at a cost of $19.75 per hour.1. what is the standard labor-hours allowed (sh) to prepare 4,000 meals? 2. what is the standard labor cost allowed (sh x sr) to prepare 4,000 meals? 3. what is the labor spending variance? 4. what is the labor rate variance and the labor efficiency variance?

Varto company has 9,400 units of its sole product in inventory that it produced last year at a cost of $23 each. this year’s model is superior to last year’s, and the 9,400 units cannot be sold at last year’s regular selling price of $42 each. varto has two alternatives for these items: (1) they can be sold to a wholesaler for $8 each, or (2) they can be reworked at a cost of $251,100 and then sold for $34 each. prepare an analysis to determine whether varto should sell the products as is or rework them and then sell them.