Math - Others Questions

21 1 point Wenhao is purchasing some new appliances The after tax cost is 6680 The interest rate on a personal loan from his bank is 6 9 per year compounded monthly Determine the number of months it will take Wenhao to repay the loan if he can afford monthly payments of 300 a 27 months b 25 months C 24 months d 21 months

15 1 point A financial institution offers a 25 year mortgage at 6 25 per year and a 20 year mortgage at 6 75 per year Why might someone select the mortgage with the higher interest rate To increase the value of their home b To pay less overall principal over the amortization period To have lower monthly payments d To pay less overall interest over the amortization period

19 1 point Yonatan purchased a laptop Part of an amortization table for Yonatan s one year personal loan is shown Calculate the total amount needed to repay the loan Principal Paid S Interest Paid S 206 91 208 64 210 38 212 13 213 90 215 68 217 48 219 29 221 12 222 96 224 82 226 69 a 2600 00 21 67 19 94 18 20 16 45 14 68 12 90 11 10 9 29 7 46 5 62 3 76 1 89 b 2742 96 142 98 d 2831 52

10 A payment where half the monthly payment is paid twice a month

17 1 point Shahela recently purchased her first home for 166000 Calculate the amount of Shahela s mortgage if she decided to make a 15 down payment and mortgage the rest b 144348 c 190900 a 157700 d 141100

20 1 point Afewerk would like to borrow 3300 to purchase furniture His bank offered him a two year personal loan with monthly payments The interest rate on the loan is 7 5 per year compounded monthly Calculate the total amount Afewerk will have to pay to the bank 6871 20 b 3832 26 c 3564 00 d 5062 37

Section 1 Communication Directions Indicate whether the statement is true or false

4 of local services are charged to property owners by municipalities to pay for a number

mortgage does not change with the interest rates in the marketplace

3 Another name for city heating is take home pay

5 A budget is said to be when the money coming in equals the money going out

A table that shows the breakdown of the principal payments interest paid and the unpaid loan balances over certain timeframe

6 All owners of a condominium complex pay removal grass cutting cable television and building maintenance to cover the cost of such items as snow

he next are regularly occurring expenses that are the same from one time period

2 Services such as water electricity and heating

7 A loan secured by the value of a real estate property

The perimeter of a rectangle is 84 The length is 16 more than the width Find the width and length Width Length

The perimeter of a rectangle is 66 The length is 13 more than the width Find the width and length Width Length Question Help Message instructor D Post to forum

Give three different points that lie on the line y 52 3 by choosing different values for Note that you must answer all three questions in order for you responses to be scored correctly then the point on the line is If a is If a is If a is 1 then the point on the line is then the point on the line is

Drag the appropriate curve to show the initial change to the short run economy as a result of an extensive wildfire in California using the aggregate demand and supply graph To refer to the graphing tutorial for this question type please click here Price level P LRAS1 SR Real GDP Y

Consider the statement in exponential form below 9 81 Identify the base Base Identify the exponent Exponent Identify the output result of the exponential Output Express 92 81 in logarithmic form You can enter a logarithmic equation by typing log b base argument exponent For example log10 100 2 is entered as log b 10 100 form

A change in government policy has increased the amount of unemployment benefits that the government pays to the unemployed This increase in government expenditure has shifted the aggregate demand curve to the right This situation is depicted below in the movement of the economy from point A to point B In the figure below shift the appropriate curve to depict how the economy reacts in the long run when all prices are flexible To refer to the graphing tutorial for this question type please click here G 22 2 NEO 16 15 14 12 31 10 9 8 6 5 LRAS2 Q AD1 SRAS2 AD2

The U S Congress regularly enacts legislation that suspends or reduces import taxes for 2 or 3 years on certain imports including raw materials and intermediate goods that are not made in the United States but that are vital for U S manufacturing This legislation reduces the cost of U S manufacturing causing a rightward shift of the short run aggregate supply SRAS curve This situation is depicted below in the movement of the economy from point A to point B In the figure below shift the appropriate curve to depict how the economy reacts in the long run when all prices are flexible You may assume that the shift of the SRAS curve does not have an impact on the long run aggregate supply curve To refer to the graphing tutorial for this question type please click here D Price Level P LRAST SRASI SAD2 SRAS2 Real GDP Y

Before tuberculosis was understood to be a communicable disease and before the discovery of antibiotics to treat it a major outbreak could kill or cripple a significant portion of a nation s labor force How would such an event affect the economy Illustrate the effect by dragging to shift either the aggregate demand curve or the long run aggregate supply curve To refer to the graphing tutorial for this question type please click here Price level P LRAS1 AD1

Write each exponential statement in its equivalent logarithmic form You do not need to find the value of any variables Note that to enter a log of any base type log b base argument a 5 1 Equation b 8 w Equation c 5 7 Equation d 5 3 Equation 125

Consider the logarithmic statement below Identify the base Base Identify the exponent Exponent Identify the argument of the logarithm Argument log7 16 807 5 Express log7 16 807 5 in exponential form Exponential Form

12 7 If it is known that sin a 13 0 a and that cos value of sin a 2 5 3T 3 5 2 B 2 find the exact

y 3 ot 2x Od Points 5 b y 5 sin 2x Period 5 Amplitude Phase Shift

2 Find the exact value of each trigonometric expression a cos sin n sin 3 b tan sin

Thirty small communities in Connecticut population near 10 000 each gave an average of x 139 0 reported cases of larceny per year Assume that a is known to be 44 3 cases per year a Find a 90 confidence Interval for the population mean annual number of reported larceny cases in such communities What is the margin of error Round your answers to one decimal place lower limit X 125 54 152 46 upper limit X margin of error 13 5 X b Find a 95 confidence interval for the population mean annual number of reported larceny cases in such communities What is the margin of error Round your answers to one decimal place lower limit 123 93 154 07 15 1 upper limit margin of error X X c Find a 99 confidence interval for the population mean annual number of reported larceny cases in such communities What is the margin of error Round your answers to one decimal place lower limit 120 55 upper limit 157 45 18 45 margin of error X d Compare the margins of error for parts a through c As the confidence levels increase do the margins of error increase O As the confidence level increases the margin of error remains the same O As the confidence level increases the margin of error decreases As the confidence level increases the margin of error increases

5 Find the exact value of each trigonometric expression a cos 70 cos 50 sin 70 sin 50 Cos 70 50 117 5

4 Solve each equation on the interval 0 0 2 a 2 sin 0 sin 0 1 0 b sin 0 cos 0 1 cos 0

6 Find the exact value of tan 285

Find the exact value of each trigonometric expression a cos 1 2 3 2 3 b tan 1 3

6 Find the exact value of tan 285

3 Solve each equation on the interval 0 0 2T a 2 sin 0 3 0 N 2 b cos 20 12

7 If it is known that sin a 13 0 a 1 and that cos 2 5 value of sin a B 37 2 B 2 find the exact

In problems 9 and 10 find the exact value of the expressions using the following conditions 15 4 9 sin 20 sin 20 10 sin 0 3 and 0 1

6 Find the exact value of tan 285

A linear relation is modeled below Use this representation to create two other Table X 0 1 2 3 4 Graph 8 7 y y 1 2x

Identify the location of each of the following points Point 1 1 1 Select an answer Point 2 1 4 Select an answer Point 3 1 6 Select an answer Point 4 2 4 Select an answer Point 5 0 1 Select an answer Point 6 2 4 Select an answer

2x 2y 8 7 11 11

A Analyze Interactions Between Ideas Use the article to answer the questions and complete the graphic organizers Skill Analyze Relationships Betw 1 The main topic in the article is fossil fuel overuse Briefly explain what fossil fuels are what they are used for What is the major problem with fossil fuels What harmful substance is produced List two ways this problem is harming humans List two ways this problem is harming the environment Fossil Fuels 234 Major Problem With Fossil Fuels Jumang

11 pints Tasty Bakery applies overhead based on direct labor costs The company reports the following costs for the year direct materials 780 000 direct labor 4 300 000 and overhead applied 2 150 000 1 Determine the company s predetermined overhead rate for the year 2 The ending balance of its Work in Process Inventory account was 84 000 which included 33 000 of direct labor costs Determine the direct materials costs in ending Work in Process Inventory Complete this question by entering your answers in the tabs below Required 1 Required 2 Answer is not complete The ending balance of its Work in Process Inventory account was 84 000 which included 33 000 of direct labor costs Determine the direct materials costs in ending Work in Process Inventory Ending balance of work in process inventory Add Direct labor in work in process inventory Less Factory overhead in WIP inventory x Return to ques

Graph each of the trigonometric equations y 3 cot 2 x 5 eriod Points b y 5 sin 2x 5 Period Amplitude Phase Shift

Graph each of the trigonometric equat a y 5 cos x Period Amplitude b y 2 csc x 4 Period L Max L Min

3 Find the exact value of the trigonometric expression 150 b 4 tan 5T Pl CSC 2

Determine whether the table could represent a function that is linear exponential or neither If the function is exponential or linear find a function that passes through the points If the function is neither type NONE f x help formulas 1 2 3 4 f x 70 49 34 324 01 x

Find the exact value of each of the six trigonometric functions of the angle given the point 3 4 on the terminal side of the angle 8 in standard position

Determine whether the table could represent a function that is linear exponential or neither If the function is exponential or linear find a function that passes through the points If the function is neither exponential nor linear type NONE 1 2 3 4 f x 70 40 10 20 f x help formulas x