You have just graduated from college and your parents have gifted you $12,000 as a graduation present. You have decided to allocate your funds between two stock funds. You have determined that you will invest 62% of your funds into a large cap stock fund, and the rest in a small cap stock fund.  Analysts have predicted the following outcomes for these funds over the next year: Economy Probability Large Cap Return Small Cap Return Below Average 57% 5.6% 3.1% Above Average  43% 15.3% 16.3% What is the expected return on the large cap fund? (Answer in percentage terms and round answer to 2 decimal places. Do not round intermediate calculations) [LCR] What is the expected return on the small cap fund? (Answer in percentage terms and round answer to 2 decimal places. Do not round intermediate calculations) [SCR] What is the standard deviation on the large cap fund? (Answer in percentage terms and round answer to 2 decimal places. Do not round intermediate calculations) [LCSD] What is the standard deviation on the small cap fund? (Answer in percentage terms and round answer to 2 decimal places. Do not round intermediate calculations) [SCSD] What is the expected return on your portfolio? (Answer in percentage terms and round answer to 2 decimal places. Do not round intermediate calculations) [PR] What is the standard deviation on your portfolio? (Answer in percentage terms and round answer to 2 decimal places. Do not round intermediate calculations) [PSD]

The length of time a firm must wait to recoup, in present value terms, the money it has in invested in a project is referred to as the: 

A conducting sphere 45 cm in diameter carries an excess of charge, and no other charges are present. You measure the potential of the surface of this sphere and find it to be 14 kV relative to infinity.  What is the excess charge on this sphere?

The inductance of a solenoid that is 16.0 cm long and has a cross-sectional area of 1.00 × 10-4 m2 is 1.0 mH. How many turns of wire does this solenoid have?

The spherical side mirror on a car is convex and has a radius of curvature of 25.0 cm. Another car is following, 20.0 m behind the mirror. If the height of the car is 1.60 m, how tall is its image?

Calculate the current through a 10.0-m long 22 gauge nichrome wire of radius 0.321 mm if it is connected to a 12.0-V battery.  The resistivity of nichrome is 100 ×10-8 Ω ∙ m.

A charge of 1.0 pC is located inside a sphere, 1.25 cm from its center. What is the electric flux through the sphere due to this charge?

Essay questions: Please note that your answers should be logically explained. Answers that are not clear, such as bullet points, brief phrases, or vague statements (e.g., “culturally relevant/important/adapted to local needs”) without clear and logical explanations, will not receive any points.                                       

According to class discussions on cultural dimensions and consumer behavior, people in countries with high uncertainty avoidance compared to peope in countries with low uncertainty avoidance are more likely to:

An output variable is being predicted using multiple linear regression  with 4 predictor variables and a significance level of 5%. A snapshot of the XL results is shown below. Which variable should be removed from the model because it is the least significant ?