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Explain relation between current market value of bond and prevailing market interest rate. What occurs to market value of bond when market interest rate increases?
The box with the hinged lid is to be made out of the piece of cardboard which measures 20 by 40 inches. Determine value of x which would result in the box with the volume of 500 cubic inches.
At the top of tramp, trunk is dragged horizontally another 15 metres by same force. Determine the total work done?
The airplane travels at S70°W with the resultant ground speed of 414 kilometres and hour. If plane's nose is pointing west with the airspeed of 425 kilometres an hour, determine speed and direct
The engineers only wish the force of 17 N to open door. How far away from point of rotation must they put handle of door?
These cords measure 1m and 3m. The 3m cords create the angle of 18 degrees with ceiling. Compute tension in each cord.
When engine is turned off, it cools according to Newtons Law of cooling with k=.0341, where time is measured in mins. Determine time required for engine to cool to 90f if surrounding temp is 60f.
Initially, earthquake was rated as 8.9 on Richter scale and then upgraded to 9.0. How many more times stronger is the earthquake of magnitude of 9 to earthquake of magnitude 8.9?
From left to right provide coordinates of five main point for one cycle of graph or 3 points and equations of two asymptotes. f(x) = 5 + 2 cos 3(x + 30 degrees).
Graph h = f(t) where h is height above groumd (in meters) at time t in minutes. First compute the suitable interval for t greater than or equal 0.
Examine the effect of constants a,b,c and d in equations of form y=d+asin(bx-c) and yd+acos(bx-c). Describe importance and effect of each of constants.
You purchased this steer today at the market price of 1.50 dollars per pound. Though, market price is falling 2 cents per pound per day. When must you sell steer to maximize the profit?
Determine all rational zeros of polynomial, and then compute irrational zeros, if any. Whenever suitable, use rational zeros theorem, upper and lower bounds theorem
Assume you have an equation y=cos(3(x-(165π/6)), and you do not have the sheet of graph paper that is mile long. Describe how to compute the equivalent phase shift which would give you correct g
Variation can be estimated by the sine curve. Write the equation which provides approximate variation y, if x is number of hours after midnight if high tide happens at 10:00 am.
The guitar string is plucked so that it vibrates with the frequency of F=80. Assume maximum displacement at center of string is (0)=0.49. Determine the sinusoidal equation to model the displacement
For instance: P910)=-283.3, so firm loses 283.30 if it makes and sells only 10 blenders. Approximately how many blenders should firm make to break even? Round answer to nearest whole number.
Determine the expression in terms of time t (in hours) giving distance between two ships. Use expression attained to find distance between two ships 2 hr after ship A has left port.
Determine all zeros of function and write down polynomial as the product of linear factors. Problem: f(t) = t^3 - 3t^2 - 15t + 125.
The half life of iodine-123 is roughly 13 hrs. You start with 50 grams of iodine-123. Write the equation which provides an amount of iodine-123 remaining after t hours.
Determine the formula for number (N) of host computers as the exponential function of t, number of years since 1998 in the form N = aekt.
Suppose that relationship between monthly rent p and demand x is linear. Write down equation of line giving demand x in terms of p.
The car with the mass of 1200 kilograms is raised to the height of 2 meters on the lift. How much work is done by lift? How much power is needed to achieve this in 10 seconds?
Angle of elevation of top of the pole as seen from the pont 17 feet away from base is double angle of elevation as seen from the point 48 feet further from pole. Determine height of pole above level
Powerball is played with 55 white balls, numbered 1 through 55, and 42 red balls, numbered 1 through 42. 5 white balls and 1 red ball, powerball, are drawn to find winning tickets.