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Jim Smith believes in 30 years he will need $80,000 to buy a retirement cottage. Assuming he gets an interest rate of 9% compounded annually, how much will he have to invest today to reach his retirement goal?
the perimeter of a basketball court is 292 ft. The length is 40ft longer than the width. find the dimensions of the court.
an object is thrown upward from the top of a 64-foot building with an initial velocity of 48ft per second, which implies that the position function is s = -16t squared + 48t +64 where the time t is measured in seconds.
Draw the unit circle and plot the point P=(3,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
use a combinatorial proof to show the summation of k=0 to the P elements- (n/p) (m/[p-k])=([n+m]/p)
The Family Arts Center charges $21 for adults, $13 for senior citizens, and $7 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $9833 for 745 tickets sold. There were 47 more children th..
Graph the line with a slope -4 passing through the point (3,1). Make sure to use Excel or Word for constructing the graph.
Explain, in your own words, how to evaluate a polynomial for a given value of the variable. Demonstrate the process with an example.
An airplane is flying in still air with an airspeed of 425 miles per hour. If it is climbing at an angle of 31°, find the rate at which it is gaining altitude.
The width of a rectangle is 7 less than twice its length. If the area of the rectangle is 174 cm^2, what is the length of the diagonal?
what is a tesselate?
Find the length of the sides parallel to the store and perpendicular that will maximize the total area of the outdoor enclosure.
The base of a solid is a circle of radius ‘ a ‘, and its verticle cross section are equilateral triangles. Find the radius of the circle if the volume of the solid is 20 cubic meters.
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