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Lucas is 1/3 of the mile from home, bicycling at 20 miles per hour, when his brother leaves home on bike to catch up. How fast should Luca's brother go to catch Lucas mile from home?
Kevin won 735,000 on the TV game show. He made decision to keep the certain amount for himself, provide one-half the amount. How much each person got?
If Quck Mart sold the total of 1113 lottery tickets during July and August, determine number of tickets were sold every month?
The gambler heard from odds-maker that team has the 50% probability of winning Saturday's game. Find probability that back up quarterback is playing?
A very small tumor of initial size M is observed every 10 days, and over each ten-day period, it has grown 70% larger. Write the formula representing size of tumor after t days (t = 0, 10, 20, . . .)
Small business purchases the computer for $3900. After four years value of computer is expected to be $200. Determine depreciated value of computer three years from date of purchase.
Write the formula for number of vehicles (in millions) as the function of t, number of years since 2000. Write the formula for number of people (in millions) as the function of t, number of years sinc
The doorway has shape of the parabolic arch and is 9 feet high at center and 6 feet wide at base. If the rectangular box 8 feet high should fit through doorway, determine the maximum width box can
The hemisphere is on top of the cylinder. Explain total volume as the function of radius r. Height of side is 10 meters. Determine radius if total voulume is 27 pi m3.
At given time t=0 A car is 30 miles south of B car and traveling north at 60 mph. B Car is traveling west at 40 mph. Explain distance D in miles and at function of time in hours.
Verify the results utilizing the graphing utility. If essential, write f in form f(x) =a(x-h)^2 + k. Functions are f(x)+ x^2 +4x+2, f(x)=-x^2-6x, and f(x)=-2x^2 + 2x -3
Use simplified expression from part a to reply these questions. With the 30% reduction followed by the 30% reduction, is television selling at 40% of its original price? If not, at what percentage o
To sell additional kilogram of snig, how much does price require to decrease? Price requires to decrease by Bozats. Solve price-demand equation for x in terms of p.
Price-demand equation for gasoline is 0.3d + 4p = 80, where p is price per gallon in dollars and d is daily demand measured in millions of gallons.
Mary Klingman Invests $15,000 in the account paying 7% per year compounded annually. How many years are needed for compound amount to at least double?
Mary Ellen prepares to invest $18,000, putting part of money x into the savings which pays 5% annually and rest into the account which pays 8% annually. Find the possible values of x in situation?
State the total cost of C of material as function of radius R of cylinder. Compute cost be if radius is 10 centimeters?
Draw the graph of provided information and then write the equation relating total cost to number of pictures you purchase. Determine cost per picture? Her sitting fee?
Determine the equation for wheel if center of wheel is on y-axis and y represents height above ground. The equation is?
A cereal company determines that number of people who will purchase one of its products in first month. Write the equation which associates amount A spent on advertising to number x of boxes company
Determine equation of line with the following properties. State equation in general form or slope-intercept form. Perpendicular to line -10x + y = - 90; contains point (10,9)
The polymerase chain reaction is the means of producing multiple copies of the DNA segment. Determine number of grams of DNA would be present after N cycles?
If the page is decreased to 82 %, what percent enlargement is required to return it to its original size? Write the answer to nearest tenth of percent.
To get Pilot Bs' attention so that he may read out message created by Person A clearly, how much bigger each letter have in comparison to Person A if Person A is 6' 0" ?
In the alternating-current circuit, voltage E is given by E=IZ, where I is current (in A) and Z is impedance (in ohms). If I = 0.711-0.033j amperes and Z = 280+110j ohms, determine complex number repr