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Two ships depart from Honolulu Harbor at same time. One travels at 15 knots (nautical miles per hour) bearing 150 degrees, and other travels at 12 knots bearing 200 degress. How far apart two ships
The fossilized leaf has 70% of its normal amount carbon 14. how old is fossil? The thermometer reading 72oF is placed in the refrigerator where is constant 38oF.
The population of the Midwestern city follows exponential law. If N is population of city and t is time in years, state N as the function of t. If population decreased from 900,000 to 800,000 from 200
The business bought for 650,000 in 2001 is sold in 2004 for $850,000. Determine annual rate of return for the investment?
Suppose that scientist has sample of 100 grams of iodine 131. when will 70 grams of iodine 131 be left? Determine half life of iodine 131?
The number N of bacteria present in culture at time t(in hours) obeys law of uninhibited growth N(t) = 1000e0.01t. Find number of bacteria at t = o hours.
$100 invested at 12% compounded continuously after the period of 3years. Which two rates would yield larger amount in 1 year in problem
Determine atmospheric pressure at summit of Mount Pico de Orizaba (mexico), whose summit is at 5657 m. Assume temperature at summit is T=12 C.
Graph function utilizing transformations of basic function, then strategically plot the few points to check the work and round out graph. Sketch and label asymptote. y=2-x -1.
During first seconds of the rocket flight, rocket is propelled straight up so in t seconds rocket reaches the height of s=5t3(to the third power). Find average velocity of rocket in first 135 feet o
How many pounds of peanuts and how many pounds of cashews are in bag? Describe how to set up and solve any equations you use.
From city B to city C, plane flies 810 miles at the bearing of 115 degrees. Determine distance from A to C and bearing of A to C?
Find how much club must invest in every kind of stock if investment goal is to have the return of $19,000/year on total investment. suppose that all money available for investment is invested.
If account earns interest at rate of 6%/year compounded quarterly, how much will Luis have in account at time of retirement? Use compound interest formula and annuity formula.
Find how much money commission must have in bank initially to guarantee payments, suppose that balance on deposit with bank earns interest at rate of 6%/year compounded yearly.
The rectangular lettuce patch, 220 square feet in area, is to be fenced off against rabbits. Determine least amount of fencing needed if one side of land is already protected by the barn.
The certain radio isotope has the half-life of approximately 1,650 years. How many years would be needed for the given amount of isotope to decay to 65% of that amount?
You should run the wire from amplifier to speaker, and wire should run along floor or walls (not through air). Find absolute shortest length of wire you can use for connection?
The point moves so that its distance from point (-3,2) is always one half of the distance from line y=-4. Derive equation of the locus. Write it in general form multiplied out equal to 0 with intege
If you were provided, say: x-intercept of (-0.5,0), y-intercept of (0,-0.2) vertical asymptote x=5, and horizontal asymptote y=2. How to find equation for the rational function with the features.
If the weight hanging on the string of length 4 feet swings through 7o on either side of vertical, how long is arc through which weight moves from one high point to other high point?
What condition should be met for the equation to called the function? Which of the given is the x-intercept of function y=5(x-6)(x+6)(x-3)(x+3)?
One second later, car was observed at point C at the angle of 10.3°. Determine speed of car in miles per hour. Compute distance BC.
The open bow is to be made from the 6 by 8 in rectangular sheet of tin by cutting out squares of similar size at each corner, then folding up resulting flaps.
For every $1 you increase in price you expect to lose 1000 subscribers. How much must you charge to maximize the annual revenue? Determine the maximum revenue?