Provide an appropriate response.If $100 is invested at a rate of 6% compounded continuously, the amount in the account is given by: S = 100e0.06t. If the principal is invested at an account earning 6% compounded monthly, the amount is given by: S = 100 ? 1.00512x. Consider the difference in these two investments by graphing both functions on your graphing calculator and looking at the years 5 through 6. (Use the window
×
.) What do you notice about the two graphs?
What will be an ideal response?
The amount in the continuously compounded account is only slightly more that the account compounded monthly, and although the difference is getting bigger, it is doing so very slowly.
You might also like to view...
Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral.The parabola and the line
A.
B.
C.
D.
Provide an appropriate response.Find a decimal approximation for , rounded to the nearest tenth.
A. 1.71 B. 1.7 C. 0.6 D. 0.7
Fill in the blank with one of the words or phrases listed below.A(n)
is a piece of a line with two end points.
A. perimeter B. hypotenuse C. ray D. line segment
Find the phase shift.y = -3 sin
A. units to the right
B. 3? units up
C. units to the left
D. 4? units down