You are 21 years old today. Starting one month from now, if you deposit $500 per month for 32 years into your retirement account which earns 0.7 percent per month, are you a millionaire by age of 53? Find out how much money you will have by age of 53. If that number is greater than one million, then you are a millionaire by that age.

Liquid mercury at 0.5 kg/s is to be heated from 300 to
400 K by passing it through a 50-mm-diameter tube
whose surface is maintained at 450 K. Calculate the
required tube length by using an appropriate liquid
metal convection heat transfer correlation. Compare
your result with that which would have been obtained
by using a correlation appropriate for Pr>= 0.7.

In an ideal Rankine cycle with reheat, superheated steam vapor enters the turbine at 10 MPa and
480 °C, while the condenser pressure is 6 kPa. Steam expands through the first-stage turbine to
0.7 MPa and then is reheated to 480 °C.
Calculate the total heat addition, net work of the cycle, heat extraction through condenser,
and thermal efficiency of this ideal Rankine cycle with reheat  

5. (i) Do the following functions exhibit increasing, constant, or decreasing returns to scale? (ii) Do the following functions exhibit diminishing returns to labor? Capital? Show how you know. a. q = 2L^1.25 + 2K^1.25 b. q = (L + K)^0.7 c. q = 3LK^2 d. q = L^1/2 K^1/2

What is the nominal return on short-term corporate paper if the liquidity premium is 0.5%, the default risk premium is 0.7%, and the inflation rate is 1.4%? Assume 0% real return.

Assume both A and B Factory sell short-term corporate paper to investors. If A Factory's yield to investors is 3% and B's is 4.3%, and both companies sell 3-month paper, what factor explains this difference?

A firm has after rate income tax last year of $3.0. It’s depreciation expenses were 0.2 million, and its total cash flow was $3.0 million. What happened to the net working capital during the year.

A simple linear regression model based on 26 observations. The F-stat for the model is 6.45 and the standard error for the coefficient of X is 0.2. MSR = 54.75

Complete an ANOVA table.
Find the t-stat and the coefficient of X.
Find R2.

3. A pipette is used to add 46 mL of 0.1 M Pb(NO3)2 to a 294.0 mL solution of 0.2 M NaF. Determine the equilibrium concentration of Pb2+(aq) in the final solution. Ksp(PbF2)=3.6E-8

Fluctuations in the exchange rate of dollars against the pound sterling over a short time period were approximated by a normal distribution with a mean of 3.20 and a standard deviation of 0.2. What is the probability that the rate on a particular day was more than 2.85?