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Determine equation of the sine wave which is obtained by shifting graph of y=sin(x) to the right 7 units and downward 2 units.
Suppose that both accounts have been and will be earning interest at rate of 2%/year compounded monthly, who will end up with larger retirement account at age of 65?
An arch of the bridge is in shape of the parabola and is 16 feet high at center and 24 feet wide at the base. Find the tallest 8-foot wide truck that can pass through arch? Provide height accurate
During the typical evening in Seattle, Pagliacci gets phone orders for pizza delivery at the constant rate: 18 orders in typical four minute period. How many pies are sold in four hours?
The bonds pay interest every six months at rate of 2%/year (simple interest). Find how much income will David get from the investment every six months?
Sarah can bicycle the loop around north part of Lake Washington in 2 hours and 40 minutes. Find how many kilometers long is the loop?
Determine the expression which represents (total) cost to build curved roof as the function of radius r of semicircular end.
Assume point (2, 4) lies on graph of function f (x). If function is transformed as 3f (x + 2) - 4, which of these will be coordinates of (2, 4) under transformation?
Density of lead is 11.34 g/cm3 and density of aluminum is 2.69 g/cm3. Determine radius of lead and aluminum spheres each having the mass of 50 Kg.
Carry out indicated operation and express results in rectangular and polar forms. Find rectangular form of the given number?
Provided the vector has components Rx = -4.56 and Ry = 6.5 units Draw the sketch of vector in proper quadrant. Solve for magnitude R and angle from positive x axis of the Vector.
Graph tangent and cotangent curves which have the given properties. Asymptotes at x= pi/3 , x=5pi/6 and contain a y value of -3
Assume you deposit $1,000 into the account that pays 4% annual interest, compounded quarterly. Roughly how long will it take for amount of money in account to double?
Sales department finds that revenue, R(x), from selling x units will be R(x) = 110x, but that no more than 482 units can be sold at given price. Determine and infer (R - C)(482) where R - C = P(x),
Let y be cost of making the call lasting x minutes using the calling card. Write the linear equation which associates the cost of the making a call, y, to the time x.
Determine equation in slope/intercept form for line through the point (6,-4) which is perpendicular to line 3x + 5y = -15.
The airplane is waiting to land at the busy airport and so is flying around airport in the perfectly circular manner with radius 3.9 miles. Angle covered per minute is _____ radians.
The hot-air balloon is floating above the straight road. To compute their height above ground. Find how high is the ballon in feet?
Assume that number of bacteria in the certain population rises according to the continuous exponential growth model. Determine the hourly growth rate parameter.
Percentage of female cigarette smokers in United States declined from 21% in 200 to 18% in 2006. Determine the linear equation associating percentage of female smokers (f) to years since 2000 (t).
These angles allegedly give the aesthetic quality to pyramids. Do you agree that these are most beautiful (aesthetically pleasing) angles?
The initial amount of money is placed in the account at the interest rate of 3% per year, compounded continuously. After 4 years, there is $1195.15 in account. Determine initial amount placed in acc
The circle has the radius of 7 in. Determine radian measure of circle angle theta which intercepts the arc of length 16 in.
The ladder is propped up to the barn at the 80 degree angle. If ladder is 22 feet long, find the approximate height where top of ladder touches the barn.
The lily doubles in size every day. From time it was planted until it wholly covered the pond, it took 26 days. How many days did it take to cover half pond? Illustrate solution steps without using