Basic Math Questions and Answers

Question 2 P9 3 similar to Related to Checkpoint 9 3 Bond valuation Calculate the value of a bond that matures in 13 years and has a 1 000 par value The annual coupon interest rate is 11 percent and the market s required yield to maturity on a comparable risk bond is 15 pe The value of the bond is S Round to the nearest cent Points 0 of 1

sim Part 1 of 3 HW Score 60 12 of 20 points O Points 0 of 1 Yield to maturity Fitzgerald s 15 year bonds pay 9 percent interest annually on a 1 000 par value If the bonds sell at 885 what is the bond s yield to maturity What would be the yield to maturity if the bonds paid interest semiannually Explain the difference a The bond s yield to maturity if the bond pays interest annually is Round to three decimal places

Related to Checkpoint 9 2 Yield to maturity Hoyden Co s bonds mature in 16 years and pay 6 percent interest annually If you purchase the bonds for 825 what is their yield to maturity The yield to maturity on the Hoyden bonds is 7 51 Round to two decimal places Points 0 of 1 STEER

Inflation and interest rates Assume the expected inflation rate is 3 6 percent If the current real rate of interest is 6 9 percent what should the nominal rate of interest be The nominal rate of interest should be 10 5 Round to two decimal places Po

An employee wants to invest 60 000 in a pension plan One investment offers 4 compounded quarterly Another offers 3 25 compounded continuously a Which investment will earn more interest in 4 yr b How much more will the better plan earn a After 4 years the 4 compounded quarterly plan will earn more interest b The better plan will eam more Round to the nearest cent as needed

Based on data from Hurricane Katrina the function defined by w x 1 13x 1450 gives the wind speed w x in mph based on the barometric pressure in millibars mb a Approximate the wind speed for a hurricane with a barometric pressure of 1000 mb b Write a function representing the inverse of w and interpret its meaning in context c Approximate the barometric pressure for a hurricane with wind speed 100 mph Round to the nearest mb

tan 240 tan 70 4 tan 120 tan 5 6 tan tan 210 1 1 2 1 3 3 4 3 5 3 3 6 7 8 2 2 2 2 3 3 2

Give the reference angle for the following angle 285 Give just the number without the degree symbol

J and K are independent events P JK 0 3 Find P J

1 6 Solve the system 1 1 solve 1 3 X 1 20 y 1 matrix multiplication then 1 2 NT AN

8 Perform the matrix operation multiplication of 3x3 3 21 4 3 2 4 0 3 0 3 0 0 1 0 0 2 1 2

7 Perform the matrix operation 54 2 5 2 7 1 4 8 1 21 0

3 16 25 9 at ga alata y s sat 25 1 2500 a yos 51 1 1 7 B 50 galata y s sat galta y s sat 6 FIRE D 125galata y s at galata y s sat Eata yos

Solve the equation 2x 2 y 2xy 20 0

Find the polar form of the following phasors 1 10 j5 2 3 j6 3 15 j25 4 24 j30 5 36 j18 6 100 j250 7 300 j250 8 820 j320 9 241 j520

The table to the right displays information for 25 widely held stocks on how their one day change on a recent day compared with their previous 52 week change Complete parts a through g below Recent day Positive Change Negative Change Round to one decimal place as needed Over prior 52 weeks Positive Negative Change Change 5 10 THE a What percent of the companies reported a positive change in their stock price over the prior 52 weeks

Question 6 1 point What SQL keyword can be used in order to show a small number of sample outputs 4 from the query results SAMPLE OLIMIT HEAD TOD

a Draw triangle ABC with with a 9 inches b 15 inches and C 25 Label it in the standard way b Solve the triangle you have drawn in part a and round off each value to the nearest whole number Write down your work 3

Solve y y 2y 0 Solve 2y 4y 2y 0 Solve v 9v 0

Verify that the given function is a solution of the differential equation 1 1 c xy y x I 1 y 2 y ce 1 y 2xy x 3 y x c sin x c sin x 4x 8 x y xy x 1 y y 4x 8x 3x

Fresno Industries Inc manufactures and sells high quality camping tents The company began operations on January 1 and operated at 100 of capac 150 000 units during the first month creating an ending inventory of 20 000 units During February the company produced 130 000 units during the month but sold 150 000 units at 500 per unit The February manufacturing costs and selling and administrative expenses were as follows Manufacturing costs in February 1 beginning inventory Variable Fixed Total Manufacturing costs in February Variable Fixed Total Selling and administrative expenses in February Variable Fixed ESIKA Total Sales Cost of goods sold Beginning inventory Cost of goods manufactured Total cost of goods sold Number of Units Operating income 20 000 275 00 20 000 26 00 301 00 Unit Cost 130 000 275 00 130 000 Gross profit Selling and administrative expenses Operating income a 30 00 150 000 20 00 150 000 1 30 Sales Variable cost of goods sold Manufacturing margin Variable selling and administrative expenses Contribution margin Fixed costs Fixed manufacturing costs V Fixed selling and administrative expenses Total fixed costs 305 00 Fresno Industries Inc Absorption Costing Income Statement For the Month Ended February 28 Total Cost 5 500 000 520 000 6 020 000 35 750 000 3 900 000 39 650 000 3 000 000 195 000 21 30 3 195 000 b Prepare an income statement according to the variable costing concept for the month ending February 28 Fresno Industries Inc Variable Costing Income Statement For the Month Ended February 28 00

Fixed selling and administrative expenses Prepare an income statement according to the absorption costing concept Gallatin County Motors Inc Absorption Costing Income Statement For the Month Ended July 31 Enst at goods sold Gross proft C Selling and administrative expensex peral Check My Work Assignment Score 69 79 6 PM Fri Jul 14 D Chapter 21 AA CengageNO Chapter 21 Homework 25 000 2 000 000 Sales Variable cost of goods sold Editor Easy 85 000 All work saved v2 cengagenow com HyperWrite b Prepare an income statement according to the variable costing concept Gallatin County Motors Inc Variable Costing Income Statement For the Month Ended July 31 HyperWrite Previous Save and Exit Submit Assignme G Hol

8 What is the area of the two dimensional figure that is formed when a perpendicular slice is taken from the figure 16

3 A 1200 investment earns interest at a rate of 4 32 per annum compounded monthly Another investment of 1800 earns interest at a rate of 3 7 per annum compounded semi annually How long if ever will it take for the lower initial investment to be worth more than the higher one 3

Find csc if cot 9 csc 0 1 3 O csc 8 3 O csc 8 3 5 O csc 8 3 9 4 3 and sin 0 csc 8 3

Find the remaining trigonometric functions of if csc 29 20 sin 8 cot 04 21 29 sin 8 cot 9 sin cot sin cot 9 20 21 cos 8 20 tan 21 29 sin 20 21 21 20 21 29 cos 20 29 20 21 21 20 cot sec 8 cos sec 8 sec 8 sec 8 20 29 29 21 cos 9 2010 20 29 Cos 8 29 21 20 29 21 29 29 21 21 29 sec 8 tan 8 21 29 tan tan 8 tan 223 29 21 21 20 200 21 21 20 20 21 and cos 0

Write the following in terms of sine and cose and then simplify if possible CSC9 cot 8 O 1 cos e sin 8 1 sin e 1 cos e cos 8

Suppose ABC is a right triangle with C 90 If a 5 and b 12 find c O c 13 O c 11 O c 17 O c 7 O c 16

Find the remaining sides of a 45 45 90 triangle if the longest side is 8 O 3 3 3 3 O 10 2 10 2 04 2 4 2 09 2 9 2

There is an angle in standard position whose terminal side contains the point 2 5 Find the distance from the origin to this point O 17 23 O 29 O 10 O 12

Find A if B 30 and 8 100 O A 40 O A 50 O A 60 A Remember The sum of the three angles in any triangle is always 180 OA 80 A 70 D B

Find the range for the group of data items 11 11 16 16 21 21 The range is

Find the standard deviation for the group of data items 17 18 19 19 20 21 The standard deviation is 1 15 Simplify your answer Round to two decimal places as needed

A network device s MAC address OA is the same as an IP address B is shared by all other devices within that network C often changes over the course of the device s lifetime D is assigned to that device at the time it is manufacturec

The weights to the nearest five pounds of 36 randomly selected male college students are organized in the histogram Use the graph to find the modal weight Number of Students frequency Weight of 36 Male College Students 130 135 140 145 150 155 160 165 170 175 180 185 Weight pounds Select the correct choice below and if necessary fill in the answer box to complete your choice O A The modal weight is pounds Use a comma to separate answers as needed B There is no modal weight for the given data Q

The weights to the nearest five pounds of 34 randomly selected male college students are organized in the histogram Use the graph to find i the mean weight The mean weight is pounds Round to the nearest thousandth as needed fouanbay squapros to earn 10 Weight of 34 Male College Students 115 120 125 130 135 140 145 150 155 160 165 170 Weight pounds

Find the median for the data items in the given frequency distribution 1 3 5 1 3 5 Score x Frequency f 2 3 The median is Type an integer or a decimal 4 3 6 7 7 5 8 3 9 LO 5 1

Which of the following are covered by the HIPAA Security Ru All of the above Smartphones Telephone text messaging Computer networks 4

13 Ariel is hosting an underwater party and she s persuaded octopuses and starfish to help her prepare by doing all the painting Each helper uses one paintbrush in each of their limbs be they arms legs or tentacles and only 7 helpers are painting They used a total of 44 little paintbrushes You may assume the starfish are all of the 5 limb variety How many octopuses helped and how many starfish helped

Add using Place Value diagrams 213six 15 six

3 James needs to put a fence around his 20 foot by 30 foot garden If he needs to place a post every 5 feet how many posts does he need

If based on a sample size of 900 a political candidate finds that 549 people would vote for him in a two person race what is the 95 confidence interval for his expected proportion of the vote Would he be confident of winning based on this poll 19 A 95 confidence interval for his expected proportion of the vote is 0 5781 0 6419 Use ascending order Round to four decimal places as needed Would he be confident of winning based on this poll He should be confident of winning because the upper limit is are above 50

6 Evaluate using the laws of logarithms APP a log 8 log 27 b log 128 log 8

7 Solve the following equation Round to 2 decimal places where appropriate K a 3 4 x

5 Evaluate without a calculator using the power law of logarithms APP log 32 logi 4 a

4 Rewrite each equation in exponential form K a x login

Show that the following statement is an identity by transforming the left side into the right side csc tan 8 cos 0 sin 0 Cos 0

Write the equation of the tangent line to the graph of y 6x2 6x 2 1 2x at x 1 Check the reasonableness of your answer by graphing both the function and the tangent line

The revenue from the sale of a product is in dollars R 1500x 3000 5x 3 1 1000 where x is the number of units sold Find the marginal revenue when 150 units are sold Round your answer to two decimal places Interpret your result If the sales go from 150 units sold to Nood H units sold the revenue will increase by about

Consider the figure below Remember The sum of the three angles in any triangle is always 180 Find A if B 40 and a 100 A C 8 B