What’s the future value of the initial $100 deposit after 10 years? We assume current interest rate is = 6%, compounded monthly.

a. $121.0

b. $161.6

c. $181.9

d. $223.4

You want to receive $5,800 per month in retirement. If you can earn 0.8% return per month and you expect to need the income for 30 years, how much do you need to have in your account at retirement?

According to a recent study, the number of times a person visits a doctor per year follows an approximately normal distribution with a mean of 4.6 visits and a standard deviation of 0.8 visits. A tech company wishes to offer their employees health insurance next year. To find the best health insurance plan, the company randomly selects employees and notes how many times they visited the doctor last year. If the research resulted in a standard error of 0.025 visits, how many employees did they sample?

1. A beam of electrons is incident on a single slit whose width could be varied with as high precision as we like. Assuming that we would like to resolve 1% difference in momentum, please estimate the slit width that would be necessary to resolve the interference pattern of the electrons if their kinetic energy is (a) 0.02 MeV, (b) 0.8 MeV and 120 MeV?

Hint: one does not need to do a detailed interference pattern analysis here, just use your QM common sense.

A stock has a beta of 1.6 and an expected return of 14 percent. A risk-free asset currently earns 4 percent.

a) What is the expected return on a portfolio that is equally invested in the two assets?

b) If a portfolio of the two assets has a beta of 0.8, what are the portfolio weights?

c) If a portfolio of the two assets has an expected return of 10 percent, what is its beta?

d) If all assets in the economy are correctly priced, what is the expected return on the market portfolio?

Kevin and Kira are in a history competition.

(i) In each round, every child still in the contest faces one question. A child is out as soon as he or she misses one question. The contest will last at least 7 rounds.

(ii) For each question, Kevin's probability and Kira's probability of answering that question correctly are each 0.8; their answers are independent.

Calculate the conditional probability that both Kevin and Kira are out by the start of round 7, given that at least one of them participates in round 3.

Absorbance values for five standard solutions of a colored solute were determined at 410 nm with a 1.00?cm path length, giving the following table of data:

Determine the absorbance values you would expect for solutions with the following concentrations:

0.4 M



0.6 M



0.8 M



1.1 M



Caluclate the average molar absorptivity of the compound: ____ 1/M*cm

Phil Phoenix is paid monthly. For the month of January of the current year, he earned a total of $8,000. The FICA tax rate for social security is 6.2%, and the FICA tax rate for Medicare is 1.45%. The FUTA tax rate is 0.8%, and the SUTA tax rate is 5.4%. Both unemployment taxes are applied to the first $8,000 of an employee's pay. The amount of federal income tax withheld from his earnings was $1,000. His net pay for the month is ________.

Air enters the compressor of an air-standard Brayton cycle with a volumetric flow rate of 60 m³/s at 0.8 bar, 280 K. The compressor pressure ratio is 17.5, and the maximum cycle temperature is 1950 K. For the compressor, the isentropic efficiency is 92% and for the turbine the isentropic efficiency is 95%.


Determine:

(a) the net power developed, in kW.

(b) the rate of heat addition in the combustor, in kW.

(c) the percent thermal efficiency of the cycle.

Need some help with those questions. Thank you so much