Questions

The monod growth function is given by R N TAN ION O a 5 8 O b 5 16 O c 15 32 O d 5 10 then R 3 a

10e limx 3e 5 O a a 2 O b 5 O c 0 O d 10 3

One of the following functions is odd O a y cost sing O b T y 1 z O c None O d Women sin x y Y 1 x sinx Oe Y 1 z y

If x y 4x 22 then y at 1 3 is O a 1 O b 4 O c 1 O d 2

The center of the circle y 2x 2y i 1 O a 1 1 O b 1 1 O C None O d 1 1

The value of a that makes the following function continuous f x O a 1 O b 1 Oc None O d 0 O e 2 x a T 1 I 19 x 1 I 1

The concentration of Oxygen in blood at time t is given by C t sin 57t cos 5 t 9 then C 2 O a 57 O b 5 O C 10 O d 5T

Let f x x Inx then f e O a 2e O b 3e O c 0 O d 4e

If f x 2x 3 g x O a 14 O b 86 O c 5 O d None O e 31 5 then fog 3

Let y x sin 2x then y at x IS O a 3 O b 2 O c 0 O d 1

Let A 5 3 then the value of k so that A is singular matrix is 4 k O a 12 5 O b 12 O c 5 12 O d 3 2

limx 0 tan x sin 3x 1 3 O b 3 O a O c 0 d 2

The inverse of the function f x ln x 2 1 is O a f x e 1 2 O b f x e 1 O C None O d f x e 2 1 O e f x e 1 2

Price 12 8 15 5 3 65 2 220 400 A Supply Demand Quantity alculate producer surplus for the market in equilibrium above Give your answer as whole number

Suppose the price of apples increases from 23 to 26 and in response quantity demanded decreases from 108 to 96 Using the mid point formula what is the price elasticity of demand Note your answer should be correct to two decimal places and be sure to express your answer as a positive number Your Answer

Suppose the price of gasoline decreases from 3 80 to 2 50 and in response quantity demanded increases from 10000 to 11400 Using the mid point formula what is the price elasticity of demand Note your answer should be correct to two decimal places and be sure to express your answer as a positive number Your Answer

The total cost of producing 25 tons of butter is 45000 If average variable cost is 825 then what is the firm s average fixed cost enter answer as just a number no commas dollar signs or the like Your Answer

Price 12 8 15 5 3 65 2 D PERPEe 220 400 Supply Demand Quantity ne market depicted above suppose a price floor holds the price at 8 15 ulate producer surplus for this situation Show your answer as a decimal e g

Lisa quit her 14000 per year job to start her own economics consulting firm At the end of her first year of operation her total revenues were 96000 Her total explicit costs were 46000 What was her economic profit for the year Give response as a number no commas decimals dollar signs or otherwise Your Answer

In response to a change in the price of good X from 10 to 6 the quantity demanded of good X increases from 100 to 150 units What is the price elasticity of demand for good X Use the midpoint formula and express as a decimal e g 0 2 A

The average total cost of producing electronic calculators in a factory is 28 at the current output level of 200 units per week If fixed cost is 765 per week then what is the firm s variable cost enter answer as just a number no commas dollar signs or the like Your Answer

A lender offers you a mortgage with an APR of 4 08 with monthly compounding What is the effective rate of interest charged by the lender Answer Format Percentage Round to 2 decimal places Example 9 24 sign required Will accept decimal format rounded to 4 decimal places ex 0 0924

A couple has just purchased a home for 419 000 00 They will pay 20 down in cash and finance the remaining balance The mortgage broker has gotten them a mortgage rate of 3 00 APR with monthly compounding The mortgage has a term of 30 years How much interest is paid in the first year Answer Format Currency Round to 2 decimal places

A consulting project will generate revenue of 20 784 44 next quarter Revenues will increase by 1 00 per quarter for a 3 33 year period If the consulting firm wants a 10 88 APR with quarterly compounding return on their projects what is the value of the project to the firm today Answer Format Currency Round to 2 decimal places

A young married couple has carefully looked at their budget After review they can afford a monthly mortgage payment of 1 128 13 They go to their local banker and she offers them a mortgage of 5 88 APR with monthly compounding with a term of 30 years The couple has enough savings to pay 20 down so the mortgage will be 80 of the home s value What is the mortgage that the couple can apply for based on their budget and the offered terms Answer Format Currency Round to 2 decimal places

An investor is considering the following opportunity He will put capital into a start up company today He will not receive any cash flows from the investment until end of the 5th year At that point he will receive 11 18 years of 15 100 00 per year If his discount rate on this investment is 17 73 what is the value of this opportunity today Answer Format Currency Round to 2 decimal places

An elite law school will charge you 38 900 00 for your first year of tuition This is due at the beginning of the year You anticipate tuition to increase by 3 99 each year going forward You will spend three years in the law program You are unsure what discount rate to use to value the opportunity You have a conservative discount rate 5 16 and an aggressive rate of return 8 25 Using the aggressive rate of return what is the value today of your law school tuition Answer Format Currency Round to 2 decimal places

You have decided to save money for your son s college tuition You will put away 1 976 00 every six months for the next 12 00 years If the account will pay 4 00 APR with semi annual compounding what is the future value of this investment treat as regular annuity Answer Format Currency Round to 2 decimal places

A family takes out a mortgage for 251 200 00 from the local bank The loan is for 30 years of monthly payments at a 5 88 APR monthly compounding What will the family s balance be on the mortgage after 5 56 years Answer Format Currency Round to 2 decimal places

x 2 if x 0 If f x 2x 1 3 if 0 x 5 find if x 5

2 On Tanya s phone bill 60 out of the 75 long distance calls were in state of the in state calls were to her parents What 3 fraction of all of her long distance calls were to her parents How many calls were to her parents What fraction of all of her long distance calls were to her parents of her long distance calls Simplify your answer Type an integer or a fraction

5 6 A certain recipe calls for cup of flour A chef is making an amount that is of the recipe How much flour should the 6 9 chef use To make of a recipe 6 9 cup of flour is needed Simplify your answer Type an integer or a fraction

The weights in pounds of packages on a delivery truck are shown in the stem and leaf plot Find the mean the median and the mode of the data if possible If any measure cannot be found or does not represent the center of the data explain why www 057 11239 22555688 3000123478 404568 50 Key 30 30 Find the mean Select the correct choice below and if necessary fill in the answer box to complete your choice OA The mean is Round to one decimal place as needed OB The mean cannot be calculated because the data are at the nominal level of measurement OC The mean cannot be calculated because the sample size is too small OD The mean cannot be calculated because there is an even number of data entries

8 7 pry OA Multiply the first numerator by the second denominator and multiply the second numerator by the first denominator and then find the sum of these two products OB Multiply the first numerator by the second denominator to get the new numerator and multiply the second numerator by the first denominator to get the new denominator C Multiply the numerators to get the new numerator and multiply the denominators to get the new denomina OD Add the numerators to get the new numerator and add the denominators to get the new denominator Set up the multiplication 5 3 5 3 8 7 8

Evaluate 5 5 3 5 3 Simplify your answer

Suppose again that checkable deposits started off at 1 300 000 in First Main Street Bank the required reserve ratio is 15 and no excess reserves and no cash leakage exist You know from the previous step that due to the sale of securities by the Fed the money supply in the economy contracted from 1 300 000 to 1 292 000 But the contraction of the money supply does not stop with First Main Street Bank It moves to other banks The loan repayment that Sharon made to First Main Street Bank was written on a check Second Republic Bank issued Then when the check cleared the reserves of Second Republic Bank declined and Second Republic Bank found itself reserve deficient as well It applied loan repayments to its reserve deficiency position The effect continued with other banks and so on The initial removal of funds in the amount of 8 000 will cause the money supply to contract by supply is Hint Round the results of your calculations to the nearest dollar Therefore the money Grade Final Step

A proposed oil pipeline will cross 16 8 miles of national forest The width of the land needed for the pipeline is 200 feet If the Forest Service charges the oil compan 32 per acre calculate the total cost 1 mile 5280 feet and 1 acre 43 560 square feet The total cost is Round to the nearest cent as needed Save

ply 3 11 The answer is 0 Type an integer or a si

Find f x and g x such that h x fog x 3 24 3 X 4 h x

As a result of the Fed s sale of 8 000 worth of government securities to First Main Street Bank the bank becomes reserve deficient Suppose that Sharon a First Main Street Bank s customer re pays back the 8 000 loan she took out a few months ago Which of the following most accurately describes First Main Street Bank s actions O The bank creates a 8 000 loan O The bank keeps the 8 000 as reserves The bank keeps the 1 200 as reserves The bank creates a 187 000 loan The money supply in the economy is s

Suppose again that checkable deposits started off at 400 000 in First Main Street Bank the required reserve ratio is 15 with no excess reserves and no cash leakage First Main Street Bank takes the entire 8 000 in excess reserves that resulted from the open market purchase by the Fed and creates a loan for Susan in a form of a new checkable deposit with a balance of 8 000 The money supply now is s Then Susan writes a check for 8 000 to Alex who immediately deposits the full amount into his checking account at Second Republic Bank Complete the following table to show the effect of Alex s deposit on the Second Republic Bank s balance sheet Liabilities Reserves Loans Assets Alle donncit on the Second Republic Bank s balance sheet The money supply now is s Checkable Deposits Now Second Republic Bank uses the entire 6 800 in excess reserves that resulted from Alex s deposit to create a loan for Becky in the form of a checkable deposit Suppose Second Republic Bank lends all its new excess reserves to Clancy who writes a check to Eileen who deposits the money into her account at Third Fidelity Bank Then Third Fidelity lends all its new excess reserves to Hubert Assume this process continues with each successive loan deposite into a checking account and no banks keeping any excess reserves Under these assumptions the 8 000 injection into the money supply results in an overall increase of in checkable deposits

After graduating from college with a bachelor of business administration you begin an ambitious plan to retire in 25 58 years To build up your retirement fund you will make quarterly payments into a mutual fund that on average will pay 10 20 APR compounded quarterly To get you started a relative gives you a graduation gift of 2 588 43 Once retired you plan on moving your investment to a money market fund that will pay 5 28 APR with monthly compounding As a young retiree you believe you will live for 33 64 more years and will make monthly withdrawals of 9 184 73 YOUR WITHDRAWALS ARE AT THE BEGINNING OF THE MONTH To meet your retirement needs what quarterly payment should you make

For every 1 increase in price 10 fewer tickets will be sold Determine the price that should be charged so that revenue is maximized Let x represent the price of a season ticket Q1 1 Q 1 1 17 Points Determine a formula for the linear function relating the price x and quantity y of concert ticket sold Consider writing two points price quantity first Define all variables Include units Upload a pdf in the correct orientation for CREDIT Please select file s Select file s Save Answer Q1 2 17 Points Set up a simplified equation to represent the monthly revenue Define all variables Include units

For each part sketch the graph of a function that has the following properties There are many possible answers to each of these questions a lim f x 2 and f x has a horizontal asymptote at y 3 x18 b g x has a vertical asymptote at x 1 and g 1 2 c h x is continuous at all real numbers h 1 3 h 2 1 h 3 3 and y 2 is a horizontal asymptote of h x d lim p x o p x is decreasing for 1 x 2 increasing for x 2 and lim p x 3 x 1 818 tion Identify and label all

A triangle has sides with lengths x x 2 and x 2 Is the triangle a right triangle

cos 3 x sin 2x x sin x x sin 2x x sin x cos x Some trigonometric expressions are written in the squares given in the figure Which of the following figures can be obtained by combining four equal expressions

A club has 45 members and you want to pick a first second and third place winner in a game How many possible ways can the places be selected 00

A triangle has sides with lengths x x 2 and x 2 Is the triangle a right triangle

4 If sin e and 8 E QIII find cos 0 Give an exact answer 3

The terminal side of lies in quadrant II on the line y 3x Find the exact values of sin 8 cos and tan 0