20 points) An individual lives in a state that offers a cash grant program where the government imposes a tax of 30% on the wage rate for a worker that accepts the grant (the grant amount is $X). This individual decides not to apply for the grant. Draw a figure in the L-C plane that shows the budget line the individual faces (labeling everything carefully and specifying the slope of any line drawn) and an indifference curve that represents her decision.

Trey morgan is an employee who is paid monthly. for the month of january of the current year, he earned a total of $4,538. the fica tax for social security is 6.2% of the first $118,500 earned each calendar year, and the fica tax rate for medicare is 1.45% of all earnings for both the employee and the employer. the amount of federal income tax withheld from his earnings was $680.70. his net pay for the month is .

1. what is the amount of interest earned after two years on a $100 deposit paying 4 percent simple interest annually? $8.00 $4.08 $8.16 $4.00 2. what is the amount of compound interest earned after three years on a $100 deposit paying 8 percent interest annually? $24.00 $8.00 $16.64 $25.97 3. a business just took out a loan for $100,000 at 10% interest. if the business pays the loan off in three months, how much did the business pay in interest? $2,500.00 $10.00 $250.00 $10,000.00 4. what is the annual percentage yield (apy) for a deposit paying 5 percent interest with monthly compounding? 5.00% 5.12% 79.59% 0.42%

You wish to retire in 13 years, at which time you want to have accumulated enough money to receive an annual annuity of $23,000 for 18 years after retirement. during the period before retirement you can earn 9 percent annually, while after retirement you can earn 11 percent on your money. what annual contributions to the retirement fund will allow you to receive the $23,000 annuity? use appendix c and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods.