Basic Math Questions and Answers

9 1 point Which situation represents an annuity a Calculating the appreciated value of a house b Depositing 500 into a savings account c Making a lump sum payment that is 5 of an outstanding mortga d Making a payment at the end of each month on a 1 year car loan

4 1 point Andy and Sean can choose between weekly payments or accelerated weekly payments for their mortgage Why would choosing accelerated weekly payments pay down the mortgage faster than weekly payments The payment amount is greater resulting in one extra monthly payment being paid each year b The payments are made more frequently resulting in one extra monthly payment being paid each year The amortization term is shorter resulting in one extra monthly payment being paid each year d None of the above

16 1 point What bi weekly deposit is needed to save 7800 in three years a 25 b 75 c 100 d 300

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

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

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

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

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

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

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

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

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

6 Find the exact value of tan 285

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

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

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

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 10 20 30 40 x

Arter enjoying the view for 2 minutes you walk down a 200 foot hill You reach the bottom in 4 minutes Without resting you walk up the hill at the same rate Let x represent time and y represent height A Graph the function that models this problem B Using linear and an absolute value equations write the piecewise function that models the graph c Identify the domain and range 225 200 175 150 129 100 75 50 25 Height feet

7 Find the exact value of the trigonometric expression a csc 25 cot 25 b sin COS TL 12 cot 12

LSCO Find the exact value of each of the six trigonometric functions of the angle given th 0 5 and is in Quadrant IV 5 cos 0 1

1 Convert each angle to the stated unit of measurement nptneon bonbar a Convert to radians 192 b Convert to degrees metent 7 T 9

6 H H 5 4 3 2 11 H Domain Range X

5 5 4 3 2 1 24 Domain Range 5 2 12 3 s y III 2 4 5 TH II X

HI 32 11 7 12 HILI Domain Range y X

9 5 4 3 2 14 Domain Range y X

4 Domain Range 5 3 5 4 3 2 11 3 5 HB 3 43 y2 2 X

22 a Use the grid to graph the function h x 2x 5 The domain is R X hex 2 TD N b Find the x 10 range 8 of h 6 4 2 0 2 2 et 2 4 X 3 UN G

S 2 5 4 5 2 2 14 3 y X 30 Domain x 2 Range 4 y 4

D the lain and range of each relation State whether each relation is a function 19 Mother Janie Renee Lucy X 2 1 1 1 4 4 6 8 Daughter Disanie le Ro Adria Adriana Elizabeth Paula Yasmin f x 10 20 30 40

If f x 2x 1 find 4 f 1 6 0 5 f 20 7 f x 1

You own a bookstore and sales this month were 20 more than three times sales from last can month Next month you hope to double your sales from this month A Write a function for this month s sales B Write a composite function to represent the sales at the end of next month c To determine the money you hope to make next month evaluate the composite function last month s sales were 2400

The following table shows the production costs for The Flying Elvis Copter Rides Output Total Fixed Variable Marginal Cost Cost Cost Cost Helicopter rides Dollars Dollars Dollars Dollars 0 1 2 3 O 100 O 200 50 150 G M Refer to Table 13 7 What is the value of A O 25 50 A H N 0 B I O 1 C 120 P Average Fixed Cost Dollars per ride D J Q Average Variable Cost Dollars per ride E K 120 Average Total Cost Dollars per ride F L R

The following are the number of home runs hit by home run champions for the years 1975 to 1989 and for 2005 to 2019 Draw box and whisker plots for the distributions of the number of home runs hit for the two given time periods a 1975 1989 31 37 38 32 41 43 46 37 45 41 43 44 50 46 56 b 2005 2019 51 56 50 49 47 44 40 42 34 36 44 42 58 36 54 a Choose the correct answer below O A 30 O C 30 35 40 O A 35 40 30 O C 30 b Choose the correct answer below 35 40 H 35 45 50 40 45 50 45 45 50 55 50 55 60 55 60 Q G 55 60 Q 60 P Q Q Q O 2 OB H 35 30 O D H 30 35 40 OB 30 O D H 35 H 30 35 40 40 45 50 45 50 45 50 45 50 55 55 55 55 60 60 60 60 Q 5 Q Q 5 Q Q Q O S

The following table lists the income tax rates for a single person earning 30 000 per year for several states Complete parts a and b A C D E F G HO 4 83 7 51 3 05 5 12 4 15 3 43 5 66 5 33 State Income Tax Rate B a Find the mean and standard deviation for these data The mean is Type an integer or decimal rounded to three decimal places as needed C The standard deviation is Type an integer or decimal rounded to two decimal places as needed b Does the mean you found in part a represent the average state income tax paid by the people of these states Explain The states could have populations and the mean the average of the tax rates in effect for these states

K The accompanying table gives the gross domestic receipts for the top 10 movies Find the mean median and mode for each data set Explain which measure best describes a typical value in this distribution Click the icon to view the data table OA The mean is Round to two decimal places as needed OB There is no mean for these data Find the median Select the correct choice below and if necessary fill in the answer box to complete your choice OA The median is Round to two decimal places as needed OB There is no median for these data Find the mode s Select the correct choice below and if necessary fill in the answer box to complete your choice Domestic Receipts of Top 10 Movies Movie Title Movie A Movie B Movie C Movie D Movie E Movie F Movie G Movie H Movie I Movie J OA The mode s is are Round to two decimal places as needed Use a comma to separate answers as needed OB There is no mode for these data Which measure best describes a typical value in this distribution OA The median best describes a typical value in this distribution since the distribution appears to be slightly asymmetrical and contains some extreme values OB The mode best describes a typical value in this distribution since each value occurs roughly the same number of times OC The mean best describes a typical value in this distribution since the distribution is roughly symmetrical and does not contain any extreme values OD For this distribution the mean median and mode are equal so any value can be used to describe this distribution Print Total Gross millions 455 0 201 5 352 0 356 4 652 8 336 0 200 0 936 7 281 8 228 5 Done

The following are the heights in inches of the players in four basketball teams for a recent season Use classes of width 2 starting at 64 5 to construct a histogram Click here to view the heights of the players Choose the correct histogram below O A Frequency 62840 Frequency 16 12 O C 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 Height in Q 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 G Height in Data table Team A Team B Team C Team D C Frequency B Frequency 16 12 D 16 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 Height in 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 Height in 75 72 70 68 80 70 71 73 71 79 69 75 73 69 70 76 72 68 71 69 68 75 70 76 77 79 74 66 73 76 79 68 80 79 71 66 73 69 77 70 67 65 73 73 72 76 78 65 72 74 69 72 72 71 73 68 66 67 71 73 76 75 66 70 D X Q