Math - Others Questions

ml 5 Three days prior to the final exam Mr Hobson develops tachycardia so severe that he seeks medical attention The ER doctor orders Proncstyl 300 mg IM stat The label reads Pronestyt 0 5 gm per ml How many ml will be given

4 The doctor orders Unipen 400 mg IM The medication is supplied as Unipen nafcillin sodium 1 gram in powder form Directions for reconstitution Add 3 4 mL of sodium chloride diluent for injection to yield 1 gram 4 mL How many mL will be given

1 In September Mr Hobson weighed 90 kg He gained 11 lbs since then How many kg does he weigh now

3 Mr Hobson tells his doctor that his nerves are shot The doctor prescribes Phenergan syrup 25 mg q6h prn The medication is supplied in a bottle labeled Phenergan syrup 6 25 mg per 5 mL How many mL should he take

Identify the type of angle

2 Mr Hobson has been keeping track of the amount of caffeinated beverages he drinks in the evening because he has been been having difficulty sleeping Last night he had 1800 hrs 20 mL Pepsi 2000 hrs 8 oz Coffee 2200 hrs 6 oz Hot Chocolate How many mLs of caffeinated beverages did Mr Hobson drink

The greatest problem facing the United States during the period of Manifest Destiny was whether Native Americans would be moved to North Carolina whether states would let women vote whether labor unions would be allowed to form whether slavery would expand across the United States into newly acquired territory

What law which based the decision of slavery on popular sovereignty the people decide through majority vote within the territory heightened tensions between slavery supporters and abolitionists because they hurried West to settle to gain control of the territory that ultimately resulted in fighting showed the failure of popular sovereignty This was the Land Ordinance Kansas Nebraska Act Compromise of 1850 Dred Scott Act

Political tensions and debates surrounded territorial expansion of the United States leading up to the Civil War because any new states joining the Union could change the sectional balance number of slave states vs number of free states in Congress States did not want to supply troops to new areas Many people disagreed with Manifest Destiny westward expansion Mexico kept control of Texas

Question 3 Suppose that p t is such that the Wronskian of any two solu tions of the equation 1 d y dt p t dy dt is also a solution Furthermore suppose that p 1 0 a 10 points Find p t 0 t 0 1

Homework 11 Distribution Date 10 16 2023 Due Date 10 19 2023 1 Consider the falling head permeability test and determine the hydraulic conductivity of the soil cm min and the head difference at time t 5 min Length of the soil specimen 500 mm Area of the soil specimen 26 cm Area of the standpipe 1 3 cm Head difference at time t 0 760 mm Head difference at time t 10 300 mm 2 Find the flow rate in m s m at right angle to the cross section in figure 1 through the permeable soil layer Direction of flow H 5 m H 2 8 m h 3 1 m L 60 m x 5 k 0 05 cm s H H h Impervious layer Impervious layer L

The Valuation of Financial Assets LO7 7 16 Bondholders expected rate of return Sakara Co bonds are selling in the 1 000 par value If they are purchased at the market price what is the expected market for 1 045 These 15 year bonds pay 7 percent interest annually holders expected rate of return The market price is 900 for a 10 year bond 6 percent interest 3 percent semiannually What is the rate of return MyLan on a

7 19 Expected selling for 1 371 The coupon mature in 21 years What is the yield to mat yield pay 7 20 Expected rate of return and current yield Citigroup issued bonds that p 1 076 What would be your expected rate of return yield to maturity if you boug 5 5 percent coupon interest rate The bonds mature in 5 years They are selling f ed rate of return Zenith Co s bonds mature in 12 years ar urchase the bonds for 1 150 what is yo the bonds What would the current yield be

7 11 Bond valuation Kyser Public Utilities issued a bond with a 1 000 par v that pays 30 in annual interest It matures in 20 years Your required rate of return value is 4 percent a Calculate the value of the bond b How does the value change if your required rate of return 1 increases to 7 percent or 2 decreases to 2 percent c Explain the implications of your answers in part b as they relate to interest rate risk premium bonds and discount bonds d Assume that the bond matures in 10 years instead of 20 years Recompute answers in part b your e Explain the implications of your answers in part d as they relate to interest rate risk premium bonds and discount bonds

b Determine the va c Should you sell the bond or continue to own 7 4 Bond valuation Calculate the value of a bond that will mature in 14 ye has a 1 000 face value The annual coupon interest rate is 5 percent and the in At the beginning of the year you bought a 1 000 par va 10 year maturity date required rate of return is 7 percent

O Macmillan Learning Find the reference angle in radians associated with an angle of 14 radians Express numbers in exact form Use symbolic notation and fractions where needed reference angle

Problem 1 For each case find the arc length and the area of the sector of the circle having the radius and central angle 0 2 T 3 b Radius is 6 cm 0 135 a Radius is 9 in 0

O Macmillan Learning Find the coordinates of the trigonometric point associated with an angle of the special values Give your answer in the form Express numbers in exact form Use symbolic notation and fractions where needed P 3 12 2 T radian The appropriate reference angle is one o 3

Question 3 Learning A plant draws 400kW with a lagging power factor of 0 75 Determine the rating in KVAr of a compensating capacitor to bring the power factor to 0 85 Draw the power riangle for the compensated load 16

O Macmillan Learning In the given figure trigonometric points corresponding to compass points and special angles are marked Match the given angles with the appropriate points labeled in the figure X 3K 2 3n 4 radians radians 210 Answer Bank T 3 radians 30 315 radians 240

An electric motor with a rated output of 10HP is connected to a 600v 3 phase circuit If the motor draws 12A and 10kW determine a The power factor of the motor a P VI 6 b The reactive power drawn P jQ HE 500X 12A Ces 7200 Ross

Macmillan Learning 5 Find the reference angle in radians associated with an angle of 8 Express numbers in exact form Use symbolic notation and fractions where needed 5 reference angle 8 radians

Question 7 Learning Outcome A short circuit test at full rated current is done on a single phase 25 transformer with voltage of 24v applied to the low voltage winding and the short on the high voltage winding Determine the series reactance of the transformer reflected on the high voltage side assume the series resistance of the transformer to be negligib

leading powe Question 5 Learning A balanced load draws 25kW at a rmine the current being drawn

15 ft 18 ft 8 ft d boqada

24 in 17 in 7 in

Inputs of a MP Inputs of b MP 25 1 40 36 32 24 20 16 8 1234567 20 2 15 3 10 4 5 5 5 26 17 The table gives marginal product data for resources a and b The output of these independent resources sells in a pu competitive market at 1 per unit Assuming the prices of resources a and b are 5 and 8 respectively what is the maximizing combination of resources O 7 of a and 7 of b O 5 of a and 7 of b

The accompanying table gives domestic supply and demand schedules for a product Suppose that the world price of the product is 1 Quantity Supplied Domestic Price Quantity Demanded Domestic 5 2 4 4 7 12 10 7 4 1 3 2 1 O 1 unit and 15 units O 7 units and 4 units O indeterminate 11 16 With a 1 per unit tariff the quantities sold by foreign and domestic producers respectively will be

Price 16 14 12 10 8 006 4 2 Sd 0 10 20 30 40 50 60 70 80 90 Quantity Dd Refer to the accompanying graph where Sa and D are the domestic supply and demand curves for a product The world pri of the product is 6 If an import quota of 40 units were imposed on the product then the equilibrium price would be 8 and the quantity consumed 70 units O 12 and the quantity consumed 50 units O 6 and the quantity consumed 80 units O 10 and the quantity consumed 60 units

24 in 25 in

The figure below depicts the market for loanable funds in the United States at equilibrium at point A During periods of global economic turmoil investors from across the world seek safe investments for their money The United States has typically been the destination for this money Assume that the rest of the world is undergoing a financial crisis that has not affected the U S economy How would this event affect the market for loanable funds in the United States Shift the appropriate curve to depict your answer To refer to the graphing tutorial for this question type please click here S CO Interest rate 16 15 14 13 12 11 10 9 8 7 2 1 2 9 10 S1 DI 12 13 36 Savings and

Banks often estimate inflation You can see what they think inflation will be if you know how much they charge for loans and how much they expect to earn Suppose the nominal interest rate is 7 and the real interest rate is 5 Given these interest rates the bank thinks inflation will be

In the loanable funds market savers supply funds for loans to borrowers Because this market is crucial to the economy it is important that you understand what factors cause the demand for and supply of loanable funds to change Match four of the five factors listed on the right with the appropriate diagram on the left One factor does not match OH A Stock prices increase People become less patient Because of new technologies the productivity of machinery increases The interest rate increases Firms become more pessimistic about the

Use the Fisher equation to fill in the blanks in the following table Inflation rate 3 Real interest rate 3 Nominal interest rate 7 6

Physical capital investment by firms is usually undertaken when firms have a positive outlook for both the near and long term prospects of the economy and the specific industry How would a fall in investor confidence in the economy due to political instability in a neighboring country affect the market for loanable funds Shift the appropriate curve to depict your answer To refer to the graphing tutorial for this question type please click here Interest rate uilibrium at point A D1

Consider a home mortgage of 200 000 at a fixed APR of 3 for 30 years Complete parts a through c belov a Calculate the monthly payment The monthly payment is 843 21 Do not round until the final answer Then round to the nearest cent as needed b Determine the total amount paid over the term of the loan The total amount paid over the term of the loan is Round to the nearest cent as needed

You have just taken a job at a bank in the loans department Your bank is worried about the current economic climate and its potential to limit the real rate of interest the bank will earn on new loans The head of the department asks you to determine the proper nominal rate of interest to ensure a 4 real rate of interest and tells you that the current inflation rate is 2 You suggest a nominal interest rate of

Automobile manufacturers are planning to adopt a new technology that will increase their overall productivity by 30 As a result in the loanable funds market equilibrium investment will and the equilibrium interest rate will Choose one OA decrease increase OB decrease decrease OC increase increase OD increase decrease

If time preferences of U S consumers weaken then we can expect which of the following to increase Select all that apply Choose one or more DA supply of loanable funds B demand for loanable funds C level of investment D interest rates

You deposit 400 in your savings account for a year By the end of the year the value of your deposit increases to 415 What interest rate is your bank paying on the savings account Choose one A 4 00 B 0 04 OC 4 00 D 0 25

Harry expect an inflation rate of 4 1st attempt Part 1 1 point The expected real interest rate on the loan is Part 3 2 points erest rate of 9 When she borrows the money both she and Part 2 1 point Suppose that when Sally pays back the loan after one year the actual inflation rate turns out to be 3 The actual real interest rate on the loan is See Hint a If the inflation rate turned out to be higher than expected then Sally is bette Sally is better off and Harry b But if inflation turned out to be lower than expected then Sally is is worse off See Hint See Hint

Use the savings plan formula to answer the following question You put 300 per month in an investment plan that pays an APR of 4 5 How much money will you have after 28 years Compare this amount to the total deposits made over the time After 28 years the investment plan will contain Do not round until the final answer Then round to the nearest cent as needed GILB

At age 22 someone sets up an IRA individual retirement account with an APR of 6 At the end of each month he deposits 30 in the account How much will the IRA contain when he retires age 65 Compare that amount to the total deposits made over the time period After retirement the IRA will contain Do not round until the final answer Then round to the nearest cent as needed

mcide whether the following statement makes sense or is clearly true or does not make sense or is clearly false Explain your reasoning interest rates stay at 5 APR and I continue to make my monthly 25 deposits into my retirement plan I should have at least 30 000 saved when I retire in 25 yea the statement Round to the n because I will have in my retirement account when I retire in 25 years does not make sense does make sense

At a restaurant 42 people were asked in a survey if they eat meat fish or both Of those adults 10 only eat meat 14 only eat fish and 7 eat both How many people eat meat How many do not eat meat How many people eat fish How many do not eat fish How many do not eat either one

Question 6 Given functions g x interval notation Domain of g x Domain of g f x Domain of f g x Y Question Help Video 1 and f x x 4 state the domains of the following functions using

Question 7 The number of bacteria in a refrigerated food product is given by N T 2572 1487 99 6 T 36 where Tis the temperature of the food When the food is removed from the refrigerator the temperature is given by T t 3t 1 2 where t is the time in hours Find the composite function N T t N T t Submit Question Find the time when the bacteria count reaches 8239 Time Needed hours

Question 8 The function h z x 7 2 can be expressed in the form f g x where f x 2 and g x is defined below Question Help Video

Question 5 If x x 4 g x x 7 and h z then f g h r

Use the graphs to evaluate the expressions below 0 0 f xx 5 4 3 2 1 f g 2 g f 3 f f 5 g g 4 2 3 4 1000 5 X 3 2 1 X