Carlos consumes only two goods, apples and bananas. His utility function is U(a, b)= a3b2. Before trade, his initial endowment is wa apples and wb bananas. After he trades to his optimal consumption point at these prices, the relative prices change. Carlos is allowed to make further trades if he wishes. a. Carlos will definitely be better off after the price change.
b. Carlos will be better off if the price of the good he was selling goes up and worse off if the price of the good he was selling goes down.
c. Carlos will be better off if the price of the good he was selling goes down and worse off if the price of the good he was selling goes up.
d. Carlos’s utility will not be affected by the change.

Jason started last week with $900 in his checking account. during the week, he wrote the checks below. at the end of the week, jason received a paycheck for $534.59. he recorded all of these transactions in his check register. trans typ./ check no. date description of transaction payment/ debit deposit/ credit (+) balance 900 00 241 12/4 miller's food market 53.21 53 21 groceries 846 79 242 12/7 frank's auto parts 24.05 24 05 oil and filter 822 74 243 12/8 mike's barber shop 15.00 15 00 haircut 807 74 deposit 12/9 paycheck 534.59 534 59 1,342 33 evaluate jason's check register. a. jason did a good job; everything is correct. b. the final balance is wrong; jason did not add everything correctly. c. jason should have written debit instead of deposit for the transaction type. d. jason entered the amount for his paycheck in the wrong column.

Your sister is thinking about starting a new business. the company would require $375,000 of assets, and it would be financed entirely with common stock. she will go forward only if she thinks the firm can provide a 13.5% return on the invested capital, which means that the firm must have an roe of 13.5%. how much net income must be expected to warrant starting the business? a. $41,234b. $43,405c. $45,689d. $48,094e. $50,625

Prepare a 250-500-word response to mrs. turner's questions about predicting final scores, statistical significance, and whether a store location should be closed based on the data provided. explain your approach and the rationale for this method. evaluate the outcomes of your regression model and the responses to mrs. turner's questions.