Suppose that aggregate demand is expressed as ad = c(y - ta) + 1 + g. a) in the context of the keynesian cross show what happens to aggregate demand when government expenditures increase. b) express the change in income from part (a) algebraically.. c) now suppose instead of raising expenditures as in part (a), the government decides to raise taxes. show the effect of this policy using the keynesian cross. d) express the change in income algebraically. e) now suppose that the government raises expenditures and taxes by the same amount. express the change in income algebraically. explain your result.

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1

River corp's total assets at the end of last year were $415,000 and its net income was $32,750. what was its return on total assets? a. 7.89%b. 8.29%c. 8.70%d. 9.14%e. 9.59%

1. what is the lowest balance during this period? 2. lily just received her bank statement below. a. what does the bank think her ending balance is? b. how much more does the bank think lily has? c. what transactions are missing? 3. what is the danger of not balancing your bank account? lily’s bank statement deposits: 2/25 $35 2/26 $20 3/1 $256.32 checks: 2/24 ck #301 $25 2/26 #302 $150 debit card: 2/24 american eagle $75.48 2/25 chick fa la $4.67 2/27 mcdonalds $3.56 2/28 chevron $34.76 withdrawal: 2/27 $40 beginning balance $423.34 deposits $311.32 total debits $333.47 ending balance $401.19