A vertical summit curve has its highest point of the curve at a distance 48 m from the P.V.T. The back tangent has a grade of +6% and a forward grade of -4%. The curve passes thru point A on the curve at station 25+140. The elevation of the grade intersection is 100 m at station 25+160.

1. Compute the length of the curve.
2. Compute the stationing of P.V.T.
3. Compute the elevation of point A on the curve.

5. A consumer maximizes her satisfaction by finding the highest indifference curve that could be reached, given her budget constraint. Consider a consumer with utility function u(X, Y). When there is a small movement down in indifference curve, the additional consumption of good X, will generate marginal utility MUX. This results in a total increase in utility of MUX ∆X. At the same time, the reduced consumption of good Y, ∆Y, will lower utility per unit by MUY, resulting in a total loss of MUY ∆Y. Because all points on an indifference curve generate the same level of utility, moving down an indifference curve means the utility level does not change. So the total gain in utility associated with the increase in X must balance the loss due to reduction of consumption in Y. Show how you can get MUX/PX = MUY/PY, that is, marginal utility of good X, divided by the price of X, equals marginal utility of good Y, divided by the price of Y, which means the marginal utility per dollar of expenditure on good X is the same as that on good Y.

1) What is the highest order dark fringe, m,m, that is found in the diffraction pattern for light that has a wavelength of 621 nm and is incident on a single slit that is 1470 nm?

2) You stand on a straight desert road at night and observe a vehicle approaching. This vehicle is equipped with two small headlights that are 0.637 m apart. At what distance, in kilometers, are you marginally able to discern that there are two headlights rather than a single light source? Take the wavelength of the light to be 555 nm and your pupil diameter to be 5.17 mm.

Which of the following 1M solutions will have the highest concentration of ions?

A) Na₂[CdCl₄]
B) K₃[V(C₂O₄)₃]
C) K₂[MoOCl₄]
D) [Co(en)₂(C₂O₄)]Cl
E) [Zn(en)₂]Br₂

Provide Sue with financial advice on which option has the potential to yield the highest monetary value. Support your rational with calculations using time value of money and comment on the risk return relationship for each option, assume interest rate on savings is 4% and is compounded semi-annually.

Sue James is a 55-year old accountant who works at Ernst and Young (EY) who is about to retire. She has the following decision to make:

Option A – Select a lump sum gratuity payment of $120,000 with a reduced pension of $1,750 per month.

Option B – Select a monthly pension of $3,300 with no lump sum gratuity payment.

In addition, Sue has a loan of $72,000 with loan payments of $1,200 per month for the next five years.

1.) The blood volume in left ventricle is the highest during end diastolic phase.

True or False

2.) Arterial blood pressure is regulated by autonomic nervous system and kidneys.

True or False

3.) During diastole, intraventricular pressure rises as ventricles contract.

True or False

4.) T-wave of the electrocardiogram reflects ventricular repolarization.

True or False

Provide Sue with financial advice on which option has the potential to yield the highest monetary value. Support your rational with calculations using time value of money and comment on the risk return relationship for each option, assume interest rate on savings is 4% and is compounded semi-annually.

Sue James is a 55-year old accountant who works at Ernst and Young (EY) who is about to retire. She has the following decision to make:

Option A – Select a lump sum gratuity payment of $120,000 with a reduced pension of $1,750 per month.

Option B – Select a monthly pension of $3,300 with no lump sum gratuity payment.

In addition, Sue has a loan of $72,000 with loan payments of $1,200 per month for the next five years.

Provide Sue with financial advice on which option has the potential to yield the highest monetary value. Support your rational with calculations using time value of money and comment on the risk return relationship for each option, assume interest rate on savings is 4% and is compounded semi-annually.

Sue James is a 55-year old accountant who works at Ernst and Young (EY) who is about to retire. She has the following decision to make:

Option A – Select a lump sum gratuity payment of $120,000 with a reduced pension of $1,750 per month.

Option B – Select a monthly pension of $3,300 with no lump sum gratuity payment.

In addition, Sue has a loan of $72,000 with loan payments of $1,200 per month for the next five years.

American football is the highest paying sport on a per-game basis. The quarterback, considered the most important player on the team, is appropriately compensated. A sports statistician wants to use 2009 data to estimate a multiple linear regression model that links the quarterback’s salary (in $ millions) with his pass completion percentage (PCT), total touchdowns scored (TD), and his age. A portion of the data is shown in the accompanying table. Name Salary PCT TD Age Philip Rivers 25.5566 65.2 28 27 Jay Cutler 22.0441 60.5 27 26 ⋮ ⋮ ⋮ ⋮ ⋮ Tony Romo 0.6260 63.1 26 29

c. Drew Brees earned 12.9895 million dollars in 2009. What is his predicted salary if PCT = 70.6, TD = 34, and Age = 30? (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.) Salaryˆ

d. Tom Brady earned 8.0073 million dollars in 2009. According to the model, what is his predicted salary if PCT = 65.7, TD = 28, and Age = 32? (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.) Salaryˆ e-1. Compute the residual salary for Drew Brees and Tom Brady. (Negative values should be indicated by a minus sign. Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)

Provide Sue with financial advice on which option has the potential to yield the highest monetary value. Support your rational with calculations using time value of money and comment on the risk return relationship for each option, assume interest rate on savings is 4% and is compounded semi-annually. Sue James is a 55-year old accountant who works at Ernst and Young (EY) who is about to retire. She has the following decision to make: Option A – Select a lump sum gratuity payment of $120,000 with a reduced pension of $1,750 per month. Option B – Select a monthly pension of $3,300 with no lump sum gratuity payment. In addition, Sue has a loan of $72,000 with loan payments of $1,200 per month for the next five years