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The total of $12,000 is invested in 2 corperate bonds which pay 7.5% and 9% simple interest. Investor wishes the annual interest income of $990 from the investments. Find amount must be invested in
Constant of proportionality K is poditive and depends on tension and density of string. What effect douibling length of string has on the frequency of vibration.
Find vertical asymptotes? Write the list of x-values of asymptotes separated by commas. If there are none, enter None.
The picture frame has the width of 2 inches. If area of frame is 128 square inches, and if picture itself is 4 inches longer than it is wide, determine the dimensions of picture?
The jeweler wishes to make the 1oz ring composed of gold and silver utilizing $200 worth of metal. If gold costs $600 per oz and silver $50 per oz, how much of each metal must jeweler utilize?
Illustrate that if x and y intercepts of the line are nonzero numbers a and b, then equation of line can be written in form: x/a + y/b = 1 and determine equation of line whose x-intercept is 6 and y
Distances from Earth to moon and to sun are about 4 x 108 km, respectively. Diameter of moon is about 3500 km. Find approximate diameter of sun?
The 13 foot long pole leans against the wall. Bottom is 5 feet from wall. How much farther must bottom be pulled away from wall so that same amount down wall?
At last walks for 90 minutes. Determine rule of function which expresses the distance traveled as the function of time.
Determine average rate of change of function y = f(x) between x = 1 and x = 2. Write the difference quotient which can be used to find slope of tangent to f(x) at x = 1.
The manufacturer discovers that revenue generated by selling x units of the certain commodity is provided by function R(x)=80x-0.4x2.
The fishery stocks the pond with 5000 young trout. Number of trout t years later is P(t)=5000e^-0.4t. Determine average change in population in first month.
Four corner posts are 30 (dollars) each, consider x be length of sides perpendicular to river. Find length of side perpendicular to river in feet?
Manufacturers total cost comprise of the fixed ovrhead cost of $12000 plus production cost of $400 per unit. How many refrigerator should be sold to break even?
Determine coordinates of center of circle. What radius must carpenters use to draw arch? Illustrate the work, formulas, rules, and computations for the problem.
Use information given to determine minimum amount of aluminum needed. Express values of r and h which minimize amount of aluminum used.
The perimeter of the triangle plot of land is 2400ft. Longest side is 200 ft less than twice the shortest. Middle side is 200ft less than longest side. Determine lengths of three sides of triangle
Suppose that earth is the sphere of radius 6378 km, determine difference in latitude of 2 cities, one of which is 400 km due north of other.
After mowing even rectangular strip around outside, he has mowed 1024square feet of lawn. Find how wide is strip of lawn which he has mowed.
Determine linear equation relating V with t, time in years since computer was bought. Determine the units for the slope?
Runner was situated 6 miles from intersection. Runner continues toward intersection at steady speed of 17 feet per second. When will runner's feet get wet?
Canoer who paddles 5km/h in still water takes one hour longer to paddle 12km upstream than he makes return trip downstream. Determine speed of the current.
John takes 4hrs to weed garden alone. Mikes needs six hrs to do job. How long does it take these brothers to do job together?
The open top box is made from the 14-inch by 32-inch piece of cardboard. Find dimensions for box such that volume would be maximized.
State distance s (in miles) between plane and radar station as the function of horizontal distance d (in miles) that the plane has flown.