Assuming that a is positive, theories of short-run aggregate supply are expressed mathematically as a. quantity of output supplied = natural rate of output + a(actual price level - expected price level). b. quantity of output supplied = natural rate of output + a(expected price level - actual price level). c. quantity of output supplied = a(actual price level -expected price level) - natural rate of output. d. quantity of output supplied = a(expected price level - actual price level) - natural rate of output

Hanna intends to give her granddaughter, melodee, her antique hat pin. this heirloom has been kept under lock and key in the wall vault in the library of hanna's house in virginia. the hat pin is currently the only item in the vault. when hanna is visiting melodee in connecticut, hanna gives melodee the only key to the vault. melodee is grateful for the present and excitedly accepts. in this situation has there been a completed gift?

142"what is the value of n? soefon11402bebe99918+19: 00esseeshop60-990 0esle

Sales at a fast-food restaurant average $6,000 per day. the restaurant decided to introduce an advertising campaign to increase daily sales. to determine the effectiveness of the advertising campaign, a sample of 49 days of sales were taken. they found that the average daily sales were $6,300 per day. from past history, the restaurant knew that its population standard deviation is about $1,000. if the level of significance is 0.01, have sales increased as a result of the advertising campaign? multiple choicea)fail to reject the null hypothesis.b)reject the null hypothesis and conclude the mean is higher than $6,000 per day.c)reject the null hypothesis and conclude the mean is lower than $6,000 per day.d)reject the null hypothesis and conclude that the mean is equal to $6,000 per day.expert answer