Math - Others Questions

Suppose that one dollar can purchase 1 20 Canadian dollars and that the price of a Big Mac in Canada is 4 75 Canadian dollars With purchasing power parity the price of a Big Mac in the United States will be

You want to have a 95 000 college fund in 10 years How much will you have to deposit now under the scenario below Assume that you make no deposits into the account after the initial depos An APR of 4 7 compounded daily You should invest Do not round until the final answer Then round to two decimal places as needed

Find the monthly interest payment in the situation below Vic bought a new plasma TV for 1800 He made a down payment of 200 and then financed the balance through the store Unfortunately he was unable to make the first monthly payment and now pays 3 interest per month on the balance while he watches his TV What is Vic s monthly interest payment Round to the nearest dollar as needed

Use the compound interest formula to determine the accumulated balance after the stated period 6000 invested at an APR of 9 for 10 years If interest is compounded annually what is the amount of money after 10 years Do not round until the final answer Then round to the nearest cent as needed

Use the appropriate compound interest formula to compute the balance in the account after the stated period of time 14 000 is invested for 6 years with an APR of 3 and quarterly compounding The balance in the account after 6 years is Round to the nearest cent as needed

For the following situation find the average monthly expense that you would use in budgeting for the given expense Note Annual means once a year and semiannual means twice a ye Sara pays 4500 for tuition and fees for each of the two semesters plus an additional 310 for textbooks each semester The average monthly cost for tuition and fees and textbooks is Round to the nearest dollar as needed

A typical glass of wine contains about 19 grams of alcohol Consider a 114 pound woman with approximately 6 liters 6000 milliliters of blood who drinks two glasses of wine Complete parts a and b below a If all the alcohol were immediately absorbed into her bloodstream what would her blood alcohol content be 9 100 mL Round to two decimal places as needed Note that a blood alcohol content BAC of 0 08g 100mL is the legal driving limit in the U S A BAC at or above 0 4g 100mL usually leads to coma or death Explain why it is fortunate that in reality the alcohol is not absorbed immediately Choose the correct answer below OA It is fortunate that alcohol is not absorbed immediately because although this blood alcohol content is below the legal limit it will impair brain function B It is fortunate that alcohol is not absorbed immediately because this is a lethal concentration of alcohol and is far beyond the legal limit OC It is fortunate because any amount of alcohol consumption can impair brain function OD It is fortunate that alcohol is not absorbed immediately because this blood alcohol content is above the legal limit for driving and is a dangerous level of intoxication b Again assume all the alcohol is absorbed immediately but now assume her body eliminates the alcohol through metabolism at a rate of 10 grams per hour What is her blood alcohol content 3 hours after drinking the wine g 100 mL Is it safe for her to drive at this time Explain Round to two decimal places as needed OA It is not safe to drive This is over the legal limit OB It is safe to drive Her blood alcohol content is lower than it was three hours ago OC It is safe to drive Although is it above the legal limit it is still pretty close OD It is not safe to drive This blood alcohol content means she would either be in a coma or possibly dead

Answer the question about the following quote from a news source The unemployment rate has risen more than a percentage point to 8 6 in February from 7 1 last November What is the relative change in the unemployment rate expressed as a percenta The unemployment rate has risen Type an integer or decimal rounded to the nearest tenth as needed

The true price of a gift you purchase by mail order is 18 57 but you are billed for 19 31 Find the absolute and relative errors The absolute error is Type an ingeter or a decimal The relative error is Round to one decimal place as needed

Clint s salary increased from 24 000 to 36 000 over a three year period Helen s salary increased from 25 000 to 37 500 over the same period Whose salary increased more in absolute terms In relative terms Explain Whose salary increased more in absolute terms Select the correct choice below and fill in the answer box es to complete your choice O A Clint s salary increased more because his salary increased by OB Helen s salary increased more because her salary increased by This is more than OC Neither person s salary increased more because both of their salaries increased by Whose salary increased more in relative terms Select the correct choice below and fill in the answer box es to complete your choice OA Helen s salary increased more because her salary increased by OB Clint s salary increased more because his salary increased by OC Neither person s salary increased more because both of their salaries increased by This is more than the amount that Helen s salary increased the amount that Clint s salary increased This is more than the percent increase of Clint s salary which is This is more than the percent increase of Helen s salary which is

At a particular college 55 of the undergraduates are female If 2145 women attend the college how many total undergraduates attend the college The total number of undergraduates is Round to the nearest whole number as needed

Write out the three steps of the Understand Solve Explain process when answering the following question How fast does Earth rotate Note that in one full rotation of Earth a point on the equator travels about 25 000 miles in 24 hours What is the unknown in this problem O The volume O The speed The time O The distance What is the speed of the Earth The speed of the Earth is Explain why the speed of the Earth makes sense Choose the correct answer below 25 000 miles 24 hours OB speed distance x time 25 000 miles x 24 hours OC speed 24 hours 25 000 times distance time OA speed time distance

How much will a person pay for 5 1 pounds of bananas at a price of 1 38 per pound The price the person will pay is Round to the nearest cent

What is your average speed in miles per hour and in feet per second if you travel a mile in 21 minutes Click the icon to view the table of USCS length measurements Your average speed in miles per hour is Round to the nearest tenth as needed mile s per hour Your average speed in feet per second is feet foot per second Round to the nearest tenth as needed

What is the total weight of 13 basketballs that weigh 19 ounces each The total weight of the basketballs is Type an integer or a decimal

Choose the best answer to the following question Explain your reasoning with one or more complete sentences What does a blood alcohol content BAC of 0 08 gm 100 mL mean Choose the correct answer below O A A person with 4 liters of blood has 0 08 x 40 3 2 grams of alcohol in his blood because O C O D CL A person with 4 liters of blood has OB A person with 4 liters of blood has 0 08 x 40 3 2 grams of alcohol in his blood because 0 08 represents the number of grams of alcohol in a liter of blood and that needs to be incr a factor of 40 A person with 4 liters of blood has 0 08 gx40 100 mL x 40 3 2 g 4L 0 08 0 02 grams of alcohol in his blood because dividing the grams of alcohol by the number of liters yields grams per liter 4 0 08 0 002 grams of alcohol in his blood because 4 L is 40 times as much as 100 mL 40

blem 1 Find the area of the parallelogram with vertices A 1 1 4 B 0 3 9 C 1 0 7 and D 2 2 12 0 Area

Nuria recorded the number of words in a sentence in one chapter of her favourite book The results are shown in the table Number of words x Frequency 0x 4 5 8x12 12x16 16x20 20x24 24x28 28x32 32 41 28 22 12 7 3 a Construct a cumulative frequency lable for this data EO b Sketch the cumulative frequency curve Use your graph to find estimates for the median and interquartile range d Determine whether there are any outliers Find the 90th percentile f The smallest sentence had 1 word and the longest sentence had 31 words Draw a box and whisker plot to represent this data g A children s book has on average 8 words in a sentente and an adult book has on average 15 words in a sentence State the type of book you think Nuria is 201

ott ott oot 06 08 20 Child s reading test score 02 os of 10 20 30 90 100 105 110 115 120 125 130 135 140 145 150 Child s IQ test score Use the graph of the best fit line on the scatter plot to make the prediction If another child in this class has an IQ score of 119 predict the child s reading score Your answer can be within 5 points

Question 2 A B Y Using a double angle or half angle formula to simplify the given expressions a If cos 27 sin 27 cos 4 then degrees b If cos 7x sin 7x cos B then

The ages of boys in a football club are 10 11 11 10 12 13 11 10 12 14 15 15 16 10 11 15 10 11 11 12 12 12 13 16 16 14 15 12 12 10 11 11 14 14 15 16 16 11 10 13 2 a b State whether this data is discrete or continuous Construct a grouped frequency table for this data Let x represent age Create a frequency histogram for the following data Theo threw a die 40 times The numbers that appeared were 2 3 3 16 65 244115 6 3 4 2 2 3 5

Question 11 Find the exact value of cos 75 Question Help Video 1 Video 2

Define the sequence S by the following recurrence relation with initial conditions Note This problem uses the alternate notation for sequences where Sk S k a Find the general solution for the recurrence relation Answer Sk Sk 6Sk 1 5Sk 2 for k 2 So 1 S 21 b Find the specific solution for the recurrence relation with the given initial conditions Answer S

Core 0 60 0 6 answered Question 4 Simplify sin x 7 to a single trig function using a sum or difference of angles identity Question Help Video 1 Video 2 0 10 pt

Question 2 in z Rewrite sin a 5T 4 in terms of sin x and cos x

The box and whisker plot shows the weights in kilograms of 40 pandas all of the same gender a b c n 90 100 120 140 160 We gm kg Write down the median weight Write down the range Find the number of pandas that weigh less than 90 kg d Write down the percentage of pandas that weigh between 120 and 160 kg e Find the number of pandas that weigh between 90 and 130 kg f If the average weight of a panda is about 120 kg state what information you can derluce from the 40 pandas in the sample Male pandas weigh on average between 80 kg and 140 kg and females weigh on average between 70 kg and 120 kg g From the box plot state the gender of the pandas in the sample

ribes giving alternative forms for coordinates of a point Click here to watch the video Plot the point given its polar coordinates Give at least two other pairs of polar coordinates for the point 4 210 Choose the graph of the ordered pair 4 210 CO O A O C Q B O D

Question 11 Match graphs with functions f x 1 5 arctan x 3 f x 2 arctan x 2 f x 1 5 arctan x 3 f x 2 arctan x 2 a b C d 4 4 3 2 4 3 1 2 1 4 2 F 1 4 5 4 3 s 2 3 2 1 1 2 H 5 4 3 0 10 pts 3 2 3 to

Question 9 Determine the value of sin x cos x for x Question Help Video Submit O ion 20 degrees

Question 8 Simplify and write the trigonometric expression in terms of sine and cosine tan x sec x Question Help Worked Example 1 LI

Question 7 Simplify to an expression involving a single trigonometric function with no fractions sin x cot a cos x 0 10 F

The heights in cm ol 32 lemale gymnasts were recorded 148 152 147 149 150 147 151 142 156 148 148 149 150 152 155 154 151 154 148 150 149 145 147 148 161 152 162 149 146 151 150 157 a Construct a grouped frequency table using groups of 5 cm C b Draw a histogram to represent this data Draw a box and whisker plot to represent the data d State whether the data is symmetrical or 101 Give a reason for your answer

Question 5 Simplify 1 sin t sin t to an expression involving a single trig function with no fractions If needed enter squared trigonometric expressions using the following notation Example Enter sin t as sin t 0 10

Question 4 Simplify 1 cos t 1 sec t to a single trig function with no fractions

ogress saved Done Question 1 D Question Help Video Simplify sec t cos t to a single trig function or constant with no fractions 17

Question 2 Simplify tan t sec t to a single trig function with no fractions

Justify If you know the perimeter of a square you can find the area of the square in two steps Describe the two steps

Use the following to answer questions 17 18 Figure Market for Loanable Funds II Interest rate r 8 0 Supply x Q 300 17 Figure Market for Loanable Funds II If the interest rate is greater than the quantity supplied of loanable funds will demanded A 8 be greater than B 8 be less than Demand Quantity of loans C 8 equal D 10 be less than then the quantity of loanable funds 18 Figure Market for Loanable Funds II A decrease in government borrowing will shift the demand for loanable funds to the A left and increase the interest rate B right and decrease the interest rate C right and increase the interest rate D left and decrease the interest rate

Question 9 Find a simplified expression for cos tan Question Help Video

Question 8 waluate tan cos uestion Help Video giving your answer as an exact value no decimals 0 10

12 pts I work for a pharmaceutical company and I want to show that our new pill lowers cholesterol I know that by not taking a pill there is a 0 milligram per deciliter mg dl drop in blood cholesterol with a standard deviation of o 13 mg dl Assume that cholesterol is normally distributed In a random sample of 80 men taking the new cholesterol drug I find a drop in the blood cholesterol of 3 mg dl x 3 I need to find out if this is a statistically significant drop Test at the 0 05 significance level a What type of test are we using Determine if a test is left tailed right tailed or two tailed

core 50 110 6 11 answered Question 7 Evaluate the expression cos sin Give your answer as an exact value 4T 3

0 10 pts 399 Details sin Evaluate the expression cos

0 10 pts 399 Details Use your calculator to evaluate cos 0 22 to at least 3 decimal places Give the answer in radians

0 10 pts 399 Details Evaluate the following expressions Your answer must be an exact angle in radians and in the interval 0 Example Enter pi 6 for 6 1 3 2 a cos b cos 2 2 c cos 0

0 10 pts 399 Details Evaluate the following expressions Your answer must be an angle in radians and in the interval a sin 0 b sin 2 2 c sin 1 22 2 2

The polynomial sequence defined by S k k 4k 8 satisfies the third order homogeneous linear recurrence relatic S k C S k 1 C S k 2 C3S k 3 0 for k 3 Determine the values of C C2 and C3 and C C and C3

7 Suppose there are 70 million people in the labor force out of which 60 million are employed then the unemployment rate is A 7 B 10 C 14 28

0 10 pts 399 Given the equation y 5 tan 3x 6 The period is Details The horizontal shift is units to the Select an answer

6 Question 4 y 0 10 pts 399 Details 5 4 3 2 1 8 7 6 5 14 1 1 2 5 6 7 8 1 2 3 4 5 10 6 Write an equation for the function graphed above