Math - Others Questions

Use the formula for future value A P 1 rt and elementary algebra to find the missing quantity in the table below A 2 100 P 1 750 r 4

Compute the monthly payments for an add on interest loan of 2220 with an annual interest rate of 6 and a term of 5 years The monthly payment is Round to the nearest cent as needed

Use the formula for computing future value using compound interest to determine the value of an account at the end of 6 years if a principal amount of 12 000 is deposited in an account at a annual interest rate of 7 and the interest is compounded monthly The amount after 6 years will be Round to the nearest cent as needed

Michael wants to buy some new exercise equipment for his fitness center for 171 000 financed at an annual interest rate of 13 using the add on method If Michael pays off the loan in 4 years he will pay 88 920 in interest If Michael decides instead to pay off the loan in 5 years how much more interest will he pay than if he paid off the loan in 4 years He will pay more in interest if he paid off the loan in 5 years Type an integer or a decimal CIE

Main plant Marigold Tagetes Other plants also included in lab Vinca Catharanthus roseus Begonia Level of soil per pot Pot 1 5 cm e Pot 2 7 5 cm Pot 3 12 cm Pot 4 15 cm IV Level amount of soil in the different pots DV Amount of leaves on each branch of the plant within each pot Research Question How does the mass of soil affect the amount of leaves on each branch of a marigold plant Constant variables Watered evenly same amount of sunlight same location time span Directions Using the information above please write a few paragraphs answering the questions below in the format of an IB Biology IA Lab report Background The background sets the research question into context need and importance are clear Appropriate and relevant background biology of the entity being investigated is correctly described and explained Background research includes scientific name of organism if relevant Genus species Background research on the manipulated variable supports and explains manipulation of the variable Background research on the responding variable indicates it is a good variable to measure response to manipulation Research into research methods is well described and selected methods are justified

A student borrows 5000 at 15 for 6 months to pay tuition Find the total amount due using simple interest The total amount due after 6 months is

The number 27 is what percent of 180 The number 27 is of 180 Type an integer or a decimal

blem 3 Before kerosene can be used as jet fuel federal regulations require that the pollutants in it be removed by passing the kerosene through clay Suppose that the clay is in a pipe and that each foot of the pipe will remove 20 of the pollutants that enter it a If Po is the initial number of pollutant and P x represents the quantity of pollutants left after z feet pipe derive an expression for P x Poez and assume that Po 1 Hint Find r b Graph the function and use it to explain what will happen the amount of pollutant in kerosene if we continue to increase the length of the pipe c Given the initial pollutant is Po 1 how long does the pipe need to be to insure that 50 of the pollutants have been eliminated

Perform the elementary row operation 2R R3 R3 on the given matrix Write numbers as integers or simplified fractions 142 2 4 3 321 Resulting matrix 4 1 G

Perform the elementary row operation 4R R R on the given matrix 3 1 4 12 Resulting matrix X

Write a system of linear equations represented by the augmented matrix Give your answer in standard form using the variables x and y The equations in the system should be in the same order as the rows in the given augmented matrix 6 7 4 6 2 System of Equations 0 0

oblem 2 An isotope of sodium has a half life of 15 hours A sample of this isotope has an initial mass of 2 g a Write an exponential function that models the amount remaining after t hours b Estimate the amount remaining after 4 hours c Estimate the time required for the mass to be reduced to 0 01 g

13

The set of ordered pairs represents a function Write a rule that represents the function 0 0 1 2 2 16 3 54 4 128 y Simplify your answer Type an expression using x as the variable

or the diagram below the table gives the total number of blocks y in figure number x What pattern can you use to omplete the table Represent the relationship using words an equation and a graph Figure 1 Figure 2 present the relationship in words Choose the correct answer below A The total number of blocks y is three times the figure number x B The total number of blocks y is two raised to the figure number x c The total number of blocks y is the cube of the figure number x D The total number of blocks y is three raised to the figure number x apresent the relationship using an equation Figure 3 CELES Figure Number Total Blocks Ordere Pair x 1 1 2 8 3 27 M E 1 2 3 4 5 Y 1 8 27 B 16

IN 5 4 3 2 1 N 1 S 77 1 2 3 4 a Find the slope of the above graph SA vali fration syntay

3x124 4x

Given a line passing through 7 18 and 17 7 which of the following is the correct slope of the line 17 7 7 18 Om Om Om Om Om O m 17 7 7 18 m Om 1 7 18 17 7 7 18 17 7 7 18 17 7 17 7 7 18 17 7 7 18 7 18 17 7 Question Help Video M Message instru

Match each slope with the type of line it will produce Slope Type of Line 1 DNE a Horizontal b uphill left to rt c downhill left to rt d Vertical

5 Use the graph on the right At what rate does the airplane descend into the airport Answer to the nearest tenth a Altitude ft 2400 1200 Number of days Descent Altitude 60 1500 80 160 200 0 Time s Band Rental Rates

The figure below shows a brick in the shape of a rectangular prism 7 cm 13 cm 9 cm a Use the calculator to find the surface area and volume of the brick Make sure to include the correct units Surface area 0 Volume b The brick will be gold plated dipped in gold Which measure would be used to find the amount of gold needed O Surface area O Volume c The brick will be painted Which measure will help the painter know how much paint to buy Surface area Volume 4 cm X cm cm

an wants to measure the height of a nearby tower He places a 9 ft pole in the shadow of the tower so that the shadow of the pole is exactly covered by shadow of the tower The total length of the tower s shadow is 175 ft and the pole casts a shadow that is 5 75 ft long How tall is the tower Round your wer to the nearest foot The figure is not drawn to scale Shadow of pole Pole Shadow of tower Sun Tower 0 ft X S

Debra s company makes solid spherical metal balls for various industrial uses A customer wants iron balls that have a diameter of 9 in If Debra must make 30 of these balls how much iron will she need If necessary refer to the list of geometry formulas For your calculations do not round any intermediate steps and use the button on the ALEKS calculator Round your answer to the nearest hundredth 3 in X

semicircle is cut out of a rectangular paperboard measuring 20 in long and 16 in wide as shown below What is the perimeter of the paperboard that emains after the semicircle is removed o not round any intermediate computations Round your final answer to the nearest hundredth and be sure to include the correct unit If necessary refer to he list of geometry formulas 16 in 20 in 0 in in in

A company makes storage containers with sheet steel walls The containers are shaped like rectangular prisms as shown below If the company has a total of 912 m of sheet steel available how many storage containers can be made Heef 8 m 2 m 6 m containers X

A flower bed is in the shape of a rectangle It measures 7 yd long and 3 yd wide Chau wants to use mulch to cover the flower bed The mulch is sold by the square foot Use the facts to find the area of the flower bed in square feet 2 X 3 Conversion facts for length 1 foot ft 12 inches in 1 yard yd 3 feet ft 1 yard yd 36 inches in

16 ft ladder leans against the side of a house The angle of elevation of the ladder is 67 How high is the top of the ladder from the ground Round your nswer to the nearest tenth 16 67 H ft

Eyan wants to measure the width of a river He marks off two right triangles as shown in the figure The base of the larger triangle has a length of 57 m and he base of the smaller triangle has a length of 34 m The height of the smaller triangle is 17 9 m How wide is the river Round your answer to the nearest meter The figure is not drawn to scale 17 9 m U River 34 m 57 m m X

Great Migration refers to a Ob Oc Od the movement of thousands of African Americans north in search of employme the movement of troops across France the movement of troops across the Atlantic as the United States entered the war the movement of thousands of refugees fleeing the destruction of war

1 If a letter is picked at random from the Venn diagram shown what is the chance that it will be an element of W A X f c b h t u k n B P y i set A ii set B only iii neither set A or set B iv AUB v AnB Give all your answers as a fraction a decimal Co

Birdy Consulting Co has the following accounts in its ledger Cash Accounts Receivable Supplies Office Equipment Accounts Payable Common Stock Retained Earnings Dividends Fees Earned Rent Expense Advertising Expense Utis Expense Miscellaneous Expense Journalize the following selected transactions for January 2012 in a two column journal Journal entry explanations may be omitted If an amount box does not require an entry leave it blank Jan 1 Paid rent for the month 3 600 4 Paid advertising expense 2 320 5 Paid cash for supplies 990 6 Purchased office equipment on account 15 200 12 Received cash from customers on account 4 970 20 Paid creditor on account 1 460 27 Paid cash for miscellaneous expenses 630 30 Paid utility heating bill for the month 2 30 31 Fees earned and billed to customers for the month 33 100 31 Paid utility electricity bill for the month 400 31 Paid dividends 2 500 2012 Jan 1 Bent Expense Jan 4 Jan 5 Jan 6 Jan 12 Jan 20 Jan 27 Advertising Expense Cash Supplies Cash Office Equipment Accounts Payable Accounts Receivatie Accounts Payable Hiscellaneous Expense 00 00 00 00 00 00 00 00 00 00 00

Cash account balance During the month Bavarian Auto Co received 441 950 in cash and paid out 373 000 in cash a Does this information indicate that Bavarian Auto Co had net income of 68 950 during the month No Net income is the net change in all assets and liabilities from operating revenue and expense transactions b If the balance of the cash account is 99 900 at the end of the month what was the cash balance at the beginning of the mont

Journal entry for fees earned Journalize the entry on October 19 for cash received for services rendered 14 000 If an amount box does not require an entry leave it blank Oct 19 Cash Foor Farme

Accounting equation The total assets and total liabilities in millions of ABC Corporation and XYZ Corporation follow Assets ABC XYZ 19 947 19 349 8 777 9 288 Liabilities Determine the stockholders equity of each company ABC Corporation stockholders equity XYZ Corporation stockholders equity million million

Accounting equation Determine the missing amount for each of the following Stockholders Equity Assets Liabilities a b 94 330 45 390 C 188 650 6 480 589 540 29 480

The mixing department has 51 000 equivalent units of direct materials and 28 000 equivalent units of conversion costs The direct materials cost 40 000 and the conversion costs are 15 000 Assumir no beginning inventory the total cost per equivalent unit is Round any intermediary calculations and your final answer to the nearest cent OA 1 08 OB 1 32 OC 0 78 OD 0 54

This question 1 point s possible A pizza company produces frozen pizzas in three departments assembly freezing and packaging In assembly crust ingredients are added at the beginning of the process After the crust is made the sauce cheese and toppings are added at the end of the process Conversion costs are added evenly Data for the assembly department includes Beginning WIP Inventory Units started Units completed transferred to freezing Ending WIP 65 through assembly Crust ingredients added Cheese added Sauce and toppings added Direct labor Manufacturing Overhead Question 4 of 10 OA 1 14 OB 1 29 OF 0 89 OD 1 25 0 units 28 000 units 22 500 units 5 500 units 34 880 22 000 7 000 24 000 5 830 Submit q

Accounting equation Inspiring U is a motivational consulting business At the end of its accounting period December 31 20Y2 Inspiring U has assets of 557 000 and liabilities of 134 000 Using the accounting equation determine the following amounts a Stockholders equity as of December 31 20Y2 b Stockholders equity as of December 31 20Y3 assuming that assets increased by 106 000 and liabilities decreased by 32 000 during 20Y3

Candle Company has two sequential processing departments Assembly and Shaping The Shaping Department reports the following information Conversion costs are applied evenly through process Beginning WIP Inventory Transferred in costs in beginning WIP Inventory Direct materials costs in beginning WIP Inventory Conversion costs in beginning WIP Inventory Units transferred in Transferred in costs Units completed Costs added materials Costs added conversion Ending WIP Inventory OA WIP Shaping Dr WIP Assembly Cr 744 000 OB WIP Assembly Dr WIP Shaping Cr 744 000 OC WIP Shaping Dr WIP Assembly Cr 646 000 OD WIP Assembly Dr WIP Shaping Cr 646 000 9 000 units 98 000 25 600 23 750 47 000 units 646 000 43 000 155 040 230 710 13 000 units CECA

Ann and Tom want to establish a fund for their grandson s college education What lump sum must they deposit at a 7 annual interest rate compounded monthly in order to have 40 000 in the fund at the end of 15 years They should deposit Round up to the nearest cent

Angela s bank gave her a 5 year add on interest loan for 6 930 to pay for new equipment for her antiques restoration business The annual interest rate is 6 31 How much interest will she What are her monthly payments She will pay in interest on the loan Round to the nearest cent Her monthly payments are Round to the nearest cent LITE

Use the simple interest formula I Prt and elementary algebra to find the missing quantities in the table below I 300 P 3000 I P r t 2 years

Use the compound interest formula A P 1 r and the given information to solve for r A 2100 P 1500 t 7 r Round to the nearest hundredth

Exercise 6 6 5 First prove that all degree at most 2 functions P 2 f x ax bx cla b c R is a vector space Then find a basis for this vector space Next consider P to be the set of all polynomials of all degrees can you imagine basis set If you can you have found your first infinite dimensional basis

Often through government supported programs students may obtain bargain interest rates such as 6 or 8 to attend college Frequently payments are not due and interest does not accumulate until the student stops attending college A student has borrowed 57 000 at an annual interest rate of 7 2 Calculate the amount of interest due 4 months after the student must begin payments The interest due is Round to the nearest cent as needed PIXE

A student borrows 5000 at 15 for 3 months to pay tuition Find the total amount due using simple interest The total amount due after 3 months is

An actor bought a pearl diamond and ruby necklace for his famous wife for 57 000 In 2011 this necklace was auctioned for 11 140 200 The auction price was what percent of the original purchase price The auction price was of the original purchase price Round to the nearest integer as needed

Kirby is buying a new gas barbecue grill that has been reduced for an end of summer sale by 20 to 416 What was the original price of the grill The original price of the grill was C

An Environmental Code of Ethics 1 Use knowledge and skill for the enhancement and protection of the environment 2 Hold paramount the health safety and welfare of the environment 3 Perform services only in areas of personal expertise 4 Be honest and impartial in serving the public your employers your clients and the environment 5 Issue public statements only in an objective and truthful manner

In 36 38 use the graph to solve 36 The fastest speed a table tennis ball has been hit is about 13 07 times as fast as the speed for the fastest swimming What is the speed for the table tennis ball 37 Look for Relationships How fast would 1 5 times the fastest rowing speed be Before you solve tell the number of decimal places in your answer 38 Which activity has a recorded speed about 7 times as fast as the fastest rowing speed Miles per Hour 110 100 90 80 70 60 50 40 30 20 10 0 5 35 Fastest Sporting Speeds 27 79 13 99 95 69 Fastest Fastest Swimming Running Rowing Luge 106 Fastest Fastest Fastest Thrown Baseball Human Activity