Basic Math Questions and Answers

Solve the following for x and simplify assuming n and p are both positive real numbers npr log x 2 n logp 5 Solve the equation Answers should be in exact form i e do not use a calculator to get a decimal approximation log x log x 63 0

What is the measure of angle 4 if the measure of angle 7 is 123 degrees 6 7 1 2 98 54 A 53 degrees B 123 degrees 57 degrees 43 degrees

A woman buys a car for 40 000 If the interest rate on the loan is 12 compounded monthly and if she wants to make monthly payments of 800 for 2 years how much must she have for a down payment Round your answer to the nearest dollar A 29 301 B 23 005 C 27 573 D 26 075 21 659

1 If P A 0 58 P B 0 52 and P AUB 0 73 what is P AB 2 If P A 0 60 P B 0 35 and P An B 0 15 then P B A Events A and B are independent events with P A 0 25 and P B 0 35 The probability of the complement of Event B equals A market research organization surveyed 102 people and found that 73 of them would like more baseball games shown on network TV Estimate the probability that a person picked at random would not express this opinion

The angle between 0 and 360 and is coterminal with a standard position angle measuring 2093 angle t degrees

ind the foci of the hyperbola 9x 2 4y 2 54x 8y 41 0

Insects destroyed a crop at the rate of 100e 0 2 e A B 100 C 125 D 88 50 tons per day where time t is measured in days To the nearest ton how many tons did the insects destroy during the time interval 7 t 14

Engineers are planning a new cross street parallel to Elm St What angle x should the new street make with Cedar Rd so that it is parallel to Elm St 132 Cedar Rd A 84 B 132 48 42 New St Elm St

Classify the angle relationship between angle 1 and angle 5 2 0 A Corresponding B Alternate Interior Complementary Vertical 3 5 7 6 8 C

7 8 Let log z be the principal branch of logarithm Is there an open convex set D such that log z is analytic in D and 1 ie D 7 9 Use the fact that the range of the exponential function e is equal to C C 0 to show that both sinz and cos z have ranges equal to C Hint Use Euler Formulas

7 7 7 Which of the following functions are analytic Find f z if f is analytic a f z esin z b f 2 vez 1 c f z sin 2 1 d f z 23 i e f z i f f 2 log 2 g f 2 log z1 h f z tanh z i f z cos z

a b COS c sin d tan 117 6 CSC 15 4 87 3 37 2

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During a certain epidemic the number of people that are infected at any time increases at a rate proportional to the number of people that are infected t that time If 1 000 people are infected when the epidemic is first discovered and 1 200 are infected 7 days later how many people are infected 12 days after the epidemic is first discovered A B C D 343 1 343 1 367 1 400

Gmail www awu aleks com alekscgi x ls D2L Brightspace ALGEBRA AND GEOMETRY REVIEW Circumference of a circle The diameter of a circle measures 22 f

GRAPHS AND FUI Naming the qua Name the quadrant or a Point A

Name the quadrant or axis where each point lies Point A The X coordinate is negative and the y coordinate is positive Location Choose one Point B The X coordinate is negative and the y coordinate is negative Location Choose one

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Based on the following information determine the true balance in your checking account Balance in your checkbook Balance on bank 382 510 statement Service charge and other fees 21 Interest earned on the account Total of outstanding checks Deposits in transit 8 209 68

Question 21 of 23 Fultz Company has accumulate 1 2 3 4 5 a Sales 31 130 units uni Cost of one unit of finis manufacturing overhe Inventories raw mater Selling and administrat Income taxes 30 of in

Seven less than the product of 9 and a number is equal to 3

K Question 19 of 23 Atlanta Company is preparing its manu Units to be produced by quarters 10 Direct labor Time is 1 7 hours per uni Variable overhead costs per direct lab Fixed overhead costs per quarter sup Prepare the manufacturing overhead b variable expenses before fixed expense

Question 11 of 23 Gennem Thome and Crede CPAS are preparing their service three departments auditing tax and consulting Bill Department Quarter 1 Auditing Tax Consulting 2 560 3 240 1 800 Quarter 2 1 780 2 690 1 800 Qua

View Policies Current Attempt in Progress Fuqua Company s sales budget pr in March Each unit of part 198Zr materials inventory to equal 40 of the next month s expected unit a Prepare a production budget fo

View Policies Current Attempt in Progress Rensing Ltd estimates sales Month Units April 2 560 May 2 430 2 360 June The target ending inventory March 31 April 30 2 010 2 290

View Policies Current Attempt in Progress Edington Electronics Inc produces and sells two models of 27 respectively Because of the intense competition Eding first 2 quarters of 2020 are as follows Product XQ 103 XQ 104 Unit Sales Quarter 1 22 740 14 680 Quarter 2 27 280 16 990 No changes in selling prices are anticipated Prepare a sales budget for the 2 quarters ending June 30 2 units selling price and total sales by product and in total

3 points practice 15 live The following integral represents the volume of a hemisphere sphere or cone and the variable of integration is a length Say which shape is represented give the radius of the hemisphere or sphere or the radius and height of the cone Make a sketch showing the variable and all relevant quantities 12 T 4 y 3 dy

Consider a continuous random variable X that has the probability density function f x 3 40 X 12 5x2 if 0 x 4 if 4 x 0 otherwise Compute the probability P 1 X 7 Please give your answer as a decimal number round to four decimal places if necessary

Question 1 50 pts Use a banker s year described above to answer this question T bills Treasury bills are one of the instruments the U S Treasury Department uses to finance public debt If you buy a 200 day T bill with a maturity value of 15 750 for 15 389 37 what annual simple interest rate will you earn Express your answer as a percentage Round to the nearest thousandths of a percent 3 decimal places Question 2 50 pts Use a banker s year described above to answer this question To complete the sale of a house the you accept a 320 day note for 5 000 at 9 simple interest Both interest and principal are repaid at the end of the 320 days Wishing to use the money sooner for the purchase of another house the you sell the note to a third party for 5 185 after 80 days What annual simple interest rate will the third party receive for the investment Express your answer as a percentage Round to the nearest thousandths of a percent 3 decimal places

14 Evaluate e x y 2 dV where D is the unit ball D x y z x y z 1 using spherica coordinates x r sin cos 8 y r sin 6 sin 0 z r cos p

Patty invests 8589 into a savings account with a fixed annual interest rate of 4 31 and is compounded weekly How long will it take for Patty to save 15000 Round your answer to the nearest tenth O 11 6 years O 17 2 years O 12 9 years O 14 1 years

Ryan invests a sum of money into a retirement account when he was 21 The account has an annual interest rate of 6 2 and is compounded semiannually Ryan is now 37 and the account has 13 050 What was the initial amount of money Ryan invested into the account 4912 85 4816 93

An airplane has an airspeed of 530 km h bearing 50 north of east The wind velocity is 50 km h in the direction 28 north of west Find the resultant velocity representing the path of the airplane with respect to the ground What is the actual ground speed of the aircraft 521 9 km h Do not round until the final answer Then round to the nearest tenth as needed What is the actual direction of the aircraft relative to due east north of east Do not round until the final answer Then round to the nearest tenth as needed GTEE

3 A loan company will loan up to 60 of the equity in a hom A family purchased their home 8 years ago for 135 000 The home was financed by paying 20 down and signing a 30 year mortgage at 6 5 for the balance The market value of the house is now 150 000 After making the 96th payment the family applied to the loan company for the maximum loan a What is the monthly mortgage payment b How much will the family owe after making the 96th payment c How much will the family receive to the nearest dollar

the federal funds rate ended up dropping to 0 0 25 Around the beginning of the year 2021 it was starting to look promising and better again but by the end of the year 2021 inflation rose higher than before Numbers they hadn t seen since 1990 Causing all the progress to go down the drain The chart below provides a better visual 10 works and reduces Inflation 6 Annual inflation rate in the United States from 1990 to 2022

Add the force vectors in the figure by components The resultant magnitude is Round to the nearest integer ar CILE 305 lb 45 3 56 9 151 b

Add the given vectors by components U 0 327 0 171 1 V 0 647 6 313 1 W 0 132 0w 104 2 The resultant magnitude is Round to three decimal places as needed Round all intermediate values to five decimal places as m

Add the given vectors by components A 366 8A 237 2 B 229 08 299 5 The resultant magnitude is Round to the nearest intogor

The angle between two forces of 33 N Newtons and 50 N is 47 Find the magnitude of the resultant force The magnitude of the resultant force is N Do not round until the final answer Then round to the nearest integer as needed

The first step in solving the polynomial equation 6x 3 12x 2 3x 13 is to subtract 12x 2 and subract 13 from both sides add 6x 3 and subract 3x from both sides divide both sides by 3x 13 subtract 3x and subtract 13 from both sides add 3x and add 13 to both sides

Time sec Height ft Choose the correct scatterplot below O A O C Time sec 200 160 120 80 40 0 Time sec Motion of Projectile 200 160 120 Motion of Projectile A 80 40 0 875 1 75 2 625 86 148 185 5 0 3 5 Height ft 3 5 Height ft G city of 159 ft sec at an angle of 45 with the ground The height of the projectile ft is measured at certain time intervals Create a scatterplot for the data 3 5 4 375 5 25 6 125 197 185 148 86 5 7 0 CTTM OB OD Height t Height ft 8 200 80 40 of 0 Motion of Projectile A 160 120 200 160 120 80 40 04 0 HTT LIIMTIH Motion of Projectile 3 5 Time sec 3 5 Tima se CHE a Q Q Q point s possible

Use the scatterplot of light intensity vs distance from the source to answer parts a and b a What is the minimum value for distance from the source in the data b What is the minimum value for intensity in the data a The minimum value for distance from the source in the data is foot feet b The minimum value for intensity in the data is foot candle s Light intensity vs Distance from the source Light intensity foot candles 18 16 14 12 10 20 8 6 4 2 0 4 0 2 4 6 8 Distance from the source feet

Use the scatterplot of pressure vs depth shown to the right to answer parts a and b a What is the maximum value for depth in the data b What is the maximum value for pressure in the data a The maximum value for depth in the data is feet b The maximum value for pressure in the data is psi Pressure psi 0 10 9 3 2 1 0 8 7 Pressure vs Depth 1 2 3 4 5 6 7 8 9 10 Depth feet O Q

Construct a polynomial function with the stated properties Reduce all fractions to lowest terms Fourth degree and a single zero of 3 nswer

Quiz 13 point s possible This question 1 point s possible The monthly cost of a certain texting plan is given by the function y 0 05x 13 95 where y is in dollars and x is the number of texts sent in a month Find and interpret the slope and y intercept of the linear equatic LED OA m 0 05 The number of texts sent in a month increases 0 05 for every dollar spent b 13 95 The number of texts that can be sent when x 0 is 13 95 B m 13 95 The cost of the texting plan increases 13 95 for every text sent b 0 05 The cost of the texting plan is 0 05 if no texts are sent for the month OC m 0 05 The cost of the texting plan increases 0 05 for every text sent b 13 95 The cost of the texting plan is 13 95 if no texts are sent for the month OD m 13 95 The number of texts sent in a month increases 13 95 for every dollar spent b 0 05 The number of texts that can be sent when x 0 is 0 05

z 7 1 7 2 Graph the equation y 2x 8 Use the graphing tool to graph the equation Click to enlarge graph 10 6 4 go to Questi

k for first blanks vertical corresponding alternate interior alternate exterior same side interior same side exterior Word bank for second blanks congruent supplementary Correct spelling MUST be used in order to receive credit 5 A 7 1 g 6 8 4 B2 m 6 3 PARTA Name the special angle relationship and the mathematical relationship between the two angles named The angle relationship bet

The North Carolina Lottery increases at a weekly fixed exponential rate if the current jack pot is 113 million and no one wins for 5 weeks the jackpot will be valued at 171 million What is the growth rate r O 5 5 O 8 6 O 10 7 7 9

Find the x and y components of the given vector by use of the trigonometric functions The magnitude is shown first followed by the direction as an angle in standard position 18 2 lb 0 73 4 The x component is Round to two decimal pl Ib deg

Find the horizontal and vertical components of the vectors shown in the given figure The magnitude of the vector is 610 The horizontal component is 0