Question 1. Which of the following explains why the demand for loanable funds is negatively related to the real interest rate? Interest rate flexibility in financial markets assures an equilibrium in which saving equals investment. A lower real interest rate makes more investment projects profitable. Consumers are willing to spend less and hence save more at higher real interest rates. All of the above are reasons why the demand for loanable funds is negatively related to the real interest rate. None of the above.

Acron is a large drug company. At the current time, the beginning of year 0, Acron is trying to decide whether one of its new drugs, Niagra, is worth pursuing. Niagra is in the final stages of development and will be ready to enter the market one year from now. The final cost of development, to be incurred at the beginning of year 1, is $15 million. Acron estimates that the demand for Niagra will gradually grow and then decline over its useful lifetime of 20 years. Specifically, the company expects its gross margin (revenue minus cost) to be $1.5 million in year 1, then to increase at an annual rate of 6% through year 8, and finally to decrease at an annual rate of 5% through year 20. Acron wants to develop a spreadsheet model of its 20-year cash flows, assuming its cash flows, other than the initial development cost, are incurred at the end of the respective years. Using an annual discount rate of 7.5% for the purpose of calculating NPV, Question 1. Which has a greater present value: the gross margin for year 1 or the gross margin for year 8 (the peak year for gross margin)? : Question 2. What is the present value of the gross margin at year 16? : Question 3. What rate of increase is needed from year 1 through year 8 to have a year 8 gross margin with a present value that is equal to the present value of the year 1 gross margin? Hint: Use goal seek.

1. The area bounded by the curve y = 12x and the line x = 3 is revolved about the line x = 3. What is the volume generated? a.) 185 b.) 187 C.) 181 d.) 183 Solution:

MATLAB A water tank shaped as an ellipsoid (a = 1.5m, b = 4.0m, c= 3m) has a circular hole at the bottom as shown. According to Torricelli's law, the speed v of the water that is discharging from the hole is given by v = 2gy where y is the height of the water and g = 9.81m/s2. The rate at which the height, y, of the water in the tank changes as the water flows out through the hole is given by dy 2gyra dt ac 1+ 420)2] where r is the radius of the hole. r=0.025m V Solve the differential equation for y for 0 < t < 515s. The initial height of the water is h = 5.9m. Make a plot of y as a function of time. Add a title and axis labels.

A 22-3 bullet is shot vertically into an 4-kg block. The block lifts upward 6.0 mm (see the figure). The bullet penetrates the block and comes to rest in it in a time interval of 0.0010 s. Assume the force on the bullet is constant during penetration and that air resistance is negligible. The initial kinetic energy of the bullet is closest to O 21 J O 29 J O 0.24 J O 43 J 1.3x10-3 Submit Request Answer

Will rate! Shown in the figure below is a long solenoid. Your solenoid has N loops, a length of L, and is carrying a current of I. We shall use the "long" approximation for which the field outside the solenoid is very very small compared to the field inside the solenoid. Use an Ampere path that extends the full length of the solenoid and closes outside the solenoid. N turns in the coil ത L A "Long' Solenoid (i.e. length >> diameter) What is the length of your Ampere path over which the field is not negligible? What is the current though this path? Use Ampere's Law to determine the FORMULA for the magnetic field inside the solenoid: What is the direction of the magnetic field inside the solenoid? O Toward the top of the screen O Out of the screen O Toward the right O Counter-clockwise as viewed from the left O Into the screen O Toward the left O Toward the bottom of the screen A “Long" Solenoid (i.e. length >> diameter) What is the length of your Ampere path over which the field is not negligible? What is the current though this path? Use Ampere's Law to determine the FORMULA for the magnetic field inside the solenoid: What is the direction of the magnetic field inside the solenoid? O Toward the top of the screen O Out of the screen O Toward the right O Counter-clockwise as viewed from the left O Into the screen O Toward the left O Toward the bottom of the screen O Clockwise as viewed from the left The solenoid in the picture looks like a "stretched out" spring because the loops of the coil are far apart. If you compressed the coil so that the loops are touching (same number of loops, same current), what would happen to the magnetic field? An EMP would be generated disabling nearby computer equipment. The field would briefly increase then settle to the original value. Not enough information given. 0 The field would decrease The field would briefly decrease then settle to the original value. O The field would stay the same. O The field would increase Shown in the figure below is a long solenoid. Your solenoid has /V loops, a length of L, and is carrying a current of J. We shall use the "long" approximation for which the field outside the solenoid is very very small compared to the field inside the solenoid. Use an Ampere path that extends the full length of the solenoid and closes outside the solenoid. N turns in the coil SHOSUSOTTOTOT) «---777 L I A “Long” Solenoid (i.e. length >> diameter) What is the length of your Ampere path over which the field is not negligible? What is the current though this path? Use Ampere's Law to determine the FORMULA for the magnetic field inside the solenoid: What is the direction of the magnetic field inside the Solenoid? © Toward the top of the screen ) Out of the screen ) Toward the right ) Counter-clockwise as viewed from the left ) Into the screen Toward the left Toward the bottom of the screen , A “Long” Solenoid (i.e. length >> diameter) What is the length of your Ampere path over which the field is not negligible? What is the current though this path? Use Ampere's Law to determine the FORMULA for the magnetic field inside the solenoid: What is the direction of the magnetic field inside the Solenoid? Toward the top of the screen Out of the screen Toward the right Counter-clockwise as viewed from the left Into the screen Toward the left Toward the bottom of the screen Clockwise as viewed from the left. The solenoid in the picture looks like a "stretched out" spring because the loops of the coil are far apart. If you compressed the coil so that the loops are touching (same number of loops, same current), what would happen to the magnetic field? An EMP would be generated disabling nearby computer equipment. The field would briefly increase then settle to the original value. Not enough information given. The field would decrease The field would briefly decrease then settle to the original value. The field would stay the same. The field would increase 

C+ Q1. The Students' Corner Store in a university needs a program to implement its students' discount policy. The program is to prompt the user to enter the purchase total and to indicate whether the purchaser is a student. Students are eligible to receive a 20% discount on all their purchases. The discount calculation, however, must be done before addition of the 5% sales tax. This is done to ensure that the discount is not applied to the sales tax. Here are two sample output files - one for a student purchaser and one for a nonstudent purchaser. Total purchases: $ 122.00 Student's discount (20%2:24.40 Discounted total: 97.60 Sales tax (5%): $ 102.48 Total purchases: $ 24.90 Sales Tax (5%): 1.25 Total: $ 26.15