An executive invests $39,000, some at 7% and some at 6% annual interest. If he receives an annual return of $2,530, how much is invested at each rate?
?
Amount at 7%:  $ __________
?
Amount at 6%:  $ __________

What will be an ideal response?


19,000; 20,000

Mathematics

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Solve the problem.A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is increasing at the rate of 2.1 feet per second. Find a function, r(t), for the radius in terms of t. Find a function, A(r), for the area of the ripple in terms of r. 

A. (A ? r)(t) = 4.41?t2 B. (A ? r)(t) = 4.2?t2 C. (A ? r)(t) = 2.1?t2 D. (A ? r)(t) = 4.41?2t

Mathematics

Use the rules for exponents to rewrite the expression and then evaluate the new expression. (72)-1 

A.
B. - 
C. -14
D. -49

Mathematics

Provide an appropriate response.When solving a logarithmic equation, why must you not automatically reject all negative solutions?

What will be an ideal response?

Mathematics

The area of the region that lies to the right of the y-axis and to the left of the parabola (the shaded region in the figure) is given by the integral

Find the area..

Mathematics