Math - Others Questions

9 Write the inverse of the function y 10

1 The graph shows the function f x 3 What is the value of f x at x 3 40 30 20 Ay 10 0 1 3 27 2 9 1 3 X

6 Find the equation of the inverse of the function below f x log 9x

Write the logarithmic equation below in exponential for log 64 2

5 The function f x log x is transformed to g x log x 4 1 Describe how the transformation affects the graph of the function

3 Solve the equation below for x log 2x 4 2

8 Evaluate log 1 6 36

Use the laws of logarithms to aid in graphing the given function y h Suggestion You may wish to write the function in a different form before sketching the graph Approximate e as 2 72 Round y values to two decimal places Select item to add to graph Exponential Logarithmic Reset y I

1 Consider the triangle AABC with height 3 B side AB side BC 2 side CA 2 C A Solve AABC That is find each side length and each interior angle Write exact answers Show all work and explain your reasoning angle A angle B angle C h 3 Hint We ve worked almost exclusively with right triangles so far Can you find a way to use right triangles to make this problem easier to solve

4 Imani is competing in a robotic drone race Their drone begins at the Starting Line and flies straight toward Checkpoint 1 The drone makes a 118 15 turn at Checkpoint 1 then flies straight to Checkpoint 2 The drone then makes a 110 turn at Checkpoint 2 then heads to the starting line What angle turn will Imani s drone need to make to succesfully begin Lap 2 Write your answer in DSM format Show all work and explain your reasoning Starting Line Checkpoint 1118 15 110 Checkpoint 2

You are going to use the RSA algorithm and you need to prepare public and private keys You decide to use p 1009 q 1013 and e 13 a Show step by step how the greatest common divisor of e and r p 1 q 1 is calculated using Euclidean algorithm b What are the B zout coefficients e and r Show step by step how you derive them based on the result from point a

4 7 3 9 1 am Practice questions 2 3 ii B iii AUB iv AnB Copy the Venn diagram shown below four times and shade the following region i A 4 3 4 9 fractions negative and positive whole numbers A B D

In 1934 the Nationalist leader Chiang Kai shek Jiang Jieshi 1887 1975 called for China to carry out a New Life Movement At the time Chiang was leader of the Republic of China with his government in Nanjing Chiang s government seriously underfunded had only nominal control over vast areas of the country which were actually run by warlords who had allied with Chiang and acknowledged the authority of his ROC government in theory while retaining substantial power backed by their own armies in practice Chiang s government was notoriously corrupt and not averse to cooperating with organized crime on projects such as opium suppression i e monopoly kidnapping and assassination of political enemies Japan had taken over northeastern China or Manchuria in 1932 1933 and renamed it Manchukuo Within China intellectuals had debated and attacked traditional Chinese values in the New Culture or May Fourth Movement and the Communist Party although driven underground in the cities was active in the countryside It was in this context that Chiang Kai shek delivered this speech in September 1934 in the city of Nanchang thus inaugurating the New Life Movement Document Excerpts with Questions Longer selection follows this section From Sources of Chinese Tradition From 1600 Through the Twentieth Century compiled by Wm Theodore de Bary and Richard Lufrano 2nd ed vol 2 New York Columbia University Press 2000 341 344 2000 Columbia University Press Reproduced with the permission of the publisher All rights reserved The New Life Movement aims at the promotion of a regular life guided by the four virtues namely li ritual decorum yi rightness or duty lian integrity or honesty and chi sense of shame Those virtues must be applied to ordinary life in the matter of food clothing shelter and action The four virtues are the essential principles for the promotion of morality They form the major rules for dealing with men and human affairs for cultivating oneself and for adjustment to one s surroundings Whoever violates these rules is bound to fail and a nation that neglects them will not survive Essentials of the New Life Movement Speech 1934 By Chiang Kai shek By the observance of these virtues it is hoped that rudeness and vulgarity will be got rid of and that the life of our people will conform to the standard of art By the observance of these virtues it is hoped that beggary and robbery will be eliminated and that the life of our people will be productive The poverty of China is primarily caused by the fact that there are too many consumers and too few producers Those who consume without producing usually live as parasites or as robbers They behave thus because they are ignorant of the four virtues By observance of these virtues it is hoped that social disorder and individual weakness will be remedied and that people will become more military minded If a country cannot defend itself t has every chance of losing its existence Therefore our people must have military training As a preliminary we must acquire the habits of orderliness cleanliness simplicity frugality promptness and exactness We must preserve order emphasize organization responsibility nd discipline and be ready to die for the country at any moment Questions 1 What philosophical traditions does Chiang Kai shek draw on in this speech

For the following examples factor using a GCF 1 2x 4 3 7x 63x For the following examples factor by grouping 5 4x 3x 12x 9 2 12x 36x N 4 3x 15x 9x 6 4x 10x 12x 30

3 f x 6x 4x 9x 13 5 f x 2x 5x5 10x 3x 17 2 f x 8x 11x 4 8 4 f x x 8x 15 6 f x x 4x 9x 16x 13 Directions Describe both the power and coefficient of the leading term of the polynomial give shape of the graph 7 An N 9 Directions Classify each polynomial function then graph the function and identify it characteristics 10 f x x 9x 24x 21 Classify Domain Rel Minimum s Rel Maximum s Inc Interval s Dec Interval s End Behavior Ran

What is the sum of the 10 terms of the sequer 0 6 12 18

According to an autograph association only 4 of autographs in circulation from a certain band are estimated to be real If there are 89 authentic autographs of the band in circulation then how many nonauthentic autographs are there in circulation There are nonauthentic autographs in circulation Round to the nearest integer as needed

A man plans to take a vacation in 5 years He wants to buy a certificate of deposit for 1400 that he will cash in for the trip What is the minimum annual interest rate he must obtain on the certifica if he needs at least 1800 for the trip Assume that the interest on the loan is computed using simple interest The rate he must obtain is Round to two decimal places as needed

Savings institutions often state a nominal rate which can be thought of as a simple annual interest rate and the effective interest rate which is the actual interest rate earned due to compounding Given the nominal rate it is easy to calculate the effective interest rate as follows Assume that 1 is invested in an account paying an interest rate of 6 compounded monthly Using the compound 12 0 06 12 1 0617 So the effective interest rate is 1 0617 1 0 0617 or 6 17 Find the effective interest rate for n r 1 P 1 the investments with a nominal yield of 4 compounded monthly interest formula A P 1 with P 1 r 0 06 m 12 and n 12 A 1 The effective annual yield is Round to two decimal places as needed

Emily purchased a bond valued at 10 000 for highway construction for 5 350 If the bond pays 7 5 annual interest compounded monthly how long must she hold it until it reaches its face value She must hold onto the bond for years Round to two decimal places as needed

Ann and Tom want to establish a fund for their grandson s college education What lump sum must they deposit at an 8 annual interest rate compounded monthly in order to have 60 000 in the fund at the end of 15 years They should deposit Round up to the nearest cent

There is much folklore regarding the purchase of an island in 1626 from a certain tribe Let s assume that the purchase price was 27 If that amount were placed in an account paying 2 annual interest and allowed to compound annually until 2020 how much would be in the account There would be about in the account Round to the nearest dollar as needed

A student borrows 1000 at 5 for 9 months to pay tuition Find the total amount due using simple interest The total amount due after 9 months is

Use the formula for computing future value using compound interest to determine the value of an account at the end of 6 years if a principal amount of 2 500 is deposited in an account at an an interest rate of 6 and the interest is compounded daily Assume there are 365 days in a year The amount after 6 years will be Round to the nearest cent as needed CI

Use the formula for future value A P 1 rt and elementary algebra to find the missing quantity A 1 250 P 1 000 t 5 years r Simplify your answer

Sanjay has borrowed 660 on his father s watch from a pawn shop He has agreed to pay off the loan with 700 one month later What is the annual interest rate that he is being charged Assum that the interest on the loan is computed using simple interest The annual interest rate is Round to two decimal places as needed

Given a principal of 15 000 an annual interest rate of 6 and that compounding occurs yearly use the formula for computing future value using compound interest to determine the value o account at the end of 3 years Choose the correct problem solving method below A The Splitting Hairs Principle OB Relate a New Problem to an Older One OC The Three Way Principle OD The Counterexample Principle The amount in the account is Round to the nearest cent as needed GEITE

Use the simple interest formula 1 Prt and elementary algebra to find the missing quantities in the table below I 3150 I P 5000 P r t 9 years t

Often through government supported programs students may obtain bargain interest rates such as 6 or 8 to attend college Frequently payments are not due and interest does not accumulate until the student stops attending college A student has borrowed 47 000 at an annual interest rate of 6 8 Calculate the amount of interest due 6 months after the student must payments The interest due is

Use the compound interest formula A P 1 r and the given information to solve for t A 42 000 P 28 000 r 8

An actor bought a pearl diamond and ruby necklace for his famous wife for 42 000 In 2011 this necklace was auctioned for 11 830 900 The auction price was what percent of the original purchase price The auction price was of the original purchase price Round to the nearest integer as needed SILE

Use the compound interest formula A P 1 r and the given information to solve for r A 2800 P 1700 t 8 r Round to the nearest hundredth

Use the graph on the right from a central bank that summarizes the amount of student loan obligation of 41 million borrowers to determine how many of the 41 million borrowers had less than 10 000 in debt Of the 41 million borrowers Type a whole number C had less than 10 000 in debt Student Loan Obligations Percent Under 10k 44 10K to 25K 31 25K to 50K 13 50K to 75K 9

Use the future value formula A P 1 rt and elementary algebra to find the missing quantities in the table below A P 2 000 r 6 t 5 years

In 2005 there were 488 Spanish speaking radio stations in a certain region By 2015 this number had increased by 15 5 How many Spanish speaking radio stations were there in 20157 The number of Spanish speaking radio stations in 2015 was Round to the nearest integer as needed COP

Required information The following information applies to the questions displayed below Shown here are condensed income statements for two different companies assume no income taxes Miller Company Sales Variable expenses 80 Income before interest Interest expense fixed Net income Weaver Company Sales Variable expenses 608 Income before interest Interest expense fixed Net income 1 250 000 1 000 000 Choose Numerator 250 000 68 000 182 000 Required 1 Compute times interest earned for Miller Company and for Weaver Company 1 1 250 000 750 000 500 000 318 000 182 000 Times interest earned for Miller Company and Weaver Company Choose Denominator Times interest earned Times interest earned Check m

9 art 2 of 5 2 wits eflook Prim ferences Required information The following information applies to the questions displayed below On October 29 Lobo Company began operations by purchasing razors for resale The razors have a 90 day warranty When a razor is returned the company discards it and mails a new one from Merchandise Inventory to the customer The company s cost per new razor is 15 and its retail selling price is 70 The company expects warranty costs to equal 8 of dollar sales The following transactions occurred November 11 November 30 December 9 December 16 Sold 150 razors for 10 500 cash December 29 Replaced 20 razors that were returned under the warranty December 31 Recognized warranty expense related to December sales with an adjusting entry January 5 Sold 100 razors for 7 000 cash January 17 Replaced 25 razors that were returned under the warranty January 31 Recognized warranty expense related to danuary sales with an adjusting entry Sold 50 razors for 3 500 cash Recognized warranty expense related to November sales with an adjusting entry Replaced 10 razors that were returned under the warranty 2 How much warranty expense is reported for November and for December Warranty expense for November Warranty expense for December Check my work

s Book Print erences Prepare the journal entry to record Regis s employer payroll taxes resulting from the January 8 payroll Regis s state unemployment tax rate is 5 4 of the first 7 000 paid to each employee The federal unemployment tax rate is 0 6 Note Round your answers to 2 decimal places View transaction list Journal entry worksheet 1 Record the employer s payroll expenses and liabilities for the first weekly pay period of the year Note Enter debits before credits Date January 08 General Journal Debit Credit

work Current Liabilities Proble int erences On January 8 the end of the first weekly pay period of the year Regis Company s employees earned 26 760 of office salaries and 70 840 of sales salaries Withholdings from the employees salaries include FICA Social Security taxes at the rate of 6 2 FICA Medicare taxes at the rate of 1 45 12 760 of federal income taxes 1 450 of medical insurance deductions and 780 of union dues No employee earned more than 7 000 in this first period Required 1 a Calculate below the amounts for each of these four taxes of Regis Company Regis s state unemployment tax rate is 5 4 of the first 7 000 paid to each employee The federal unemployment tax rate is 0 6 1 b Prepare the journal entry to record Regis Company s January 8 employee payroll expenses and liabilities 2 Prepare the journal entry to record Regis s employer payroll taxes resulting from the January 8 payroll Regis s state unemployment tax rate is 5 4 of the first 7 000 paid to each employee The federal unemployment tax rate is 0 6 Complete this question by entering your answers in the tabs below Req 1A Reg 18 Check my work Req 2 Prepare the journal entry to record Regis Company s January 8 employee payroll expenses and liabilities Note Round your answers to 2 decimal places

2 art 2 of 5 32 ants eBook Print eferences Required information The following information applies to the questions displayed below Tyrell Company entered into the following transactions involving short term liabilities Year 1 April 20 Purchased 39 000 of merchandise on credit from Locust terma n 30 May 19 July 8 Replaced the April 20 account payable to Locust with a 90 day 94 935 000 note payable along with paying 4 000 in cash Borrowed 60 000 cash from NDR Dank by signing a 120 day 11 60 000 note payable Paid the amount due on the note to Locust at the maturity date Paid the amount due on the note to NBR Bank at the maturity date November 28 Borrowed 33 000 cash from Fargo Bank by signing a 60 day 6 33 000 note payable December 31 Recorded an adjusting entry for accrued interest on the note to Fargo Bank Year 2 Paid the amount due on the note to Fargo Bank at the maturity date 2 Determine the interest due at maturity for each of the three notes Note Do not round intermediate calculations and round your final answer to nearest whole dollar Use 360 days a year Locust NBR Bank Fargo Bank Principal N M M Rate M Time 76 N H Interest Check my work

8 What are the two critiques on Milton Friedman s argument Inflation is always and everywhere a monetary phenomenon and the government is solely responsible for it MARK

8 Find one possible value for the unknown digit to make the compari true Enter only one digit in the box 78 4 6 78 471

5 Fill in the blanks and identify which year s an economy had inflation deflation and disinflation you can use year 2000 as a base year Price of Market Basket Year 2000 2001 2002 2003 2004 2005 5 000 5 300 5 500 5 600 5 400 5 300 CPI Inflation rate

6 How does deflation and disinflation differ from inflation

2 Suppose Marcus eats nothing but burritos for dinner He buys 30 burritos each month During the last couple of weeks Marcus noticed an increase in the price of burritos The price of burritos rose from 5 50 per burrito last month to 6 60 per burrito this month Assume that Marcus has a fixed income of 165 that he can spend on burritos How many burritos can Marcus afford to buy at the new price of 6 60 What is the relationship between the purchasing power and inflation

12 What would be a solution for each type of inflation

3 Consider the case of a monopsonist who is the only employer in an isolated town in West Virginia There are 100 individuals who live in the town and each has a utility function given by u l c 0 25 log 1 0 75 log x where is their leisure and c is their consumption level The price of consumption pc is equal to 1 and each individual in the town has nonlabor income of Y 10 Each person has a time endowment of T 16 The price of the monopsonist s output is p 20 The monopsonist only uses labor in production and has the production technology q H H where H is the total number of labor hours utilized a Find each individual s labor supply function h w and then multi ply that by 100 to find the town s aggregate labor supply function b Find the profit maximizing wage rate and labor demanded for the monopsonist c The government imposes a minimum wage of 5 What is the de mand for labor at this wage

the three triangles I II and III They are inscribed within a regular pentagon with side lengths 1 I II III 1 Solve each triangle That is find each side length and each angle for triangles I II and III Round answers to the nearest hundreth Show all work and explain your reasoning Hint What is the interior angle sum of a pentagon Explain your reasoning

a Draw and label in standard position b Evaluate sec 0 csc 0 and cot 8 Write exact answers Show all work and explain your reasoning y sec 8 CSC A X

ext End of Semester Test Financial Mathematics B Select the correct answer Single Taxpayers Qualified Dividends and Long Term Capital Gains Matthew is a single taxpayer who earns 75 000 per year in taxable income working as an accountant He has 2 000 in long term capital gains on an investment that cost him 10 000 to purchase Compute the tax on his investment to determine the after tax return on investment ROI Tax Rate 0 15 20 OA 14 B Income Bracket 0 to 38 600 38 601 to 425 800 425 800 C 16 5 17 18 9 Submit Test COD OE 20 Reader Tools