Solving A = Pe¹¹ for P, we obtain P = Ae which is the present value of the amount A due in t years if money earns interest at an annual nominal rate r compounded continuously. (A) Graph P=9,000€ -0.061 Ost≤80. (B) Find lim9.000e - 0.061 [Guess, using part (A).] [Conclusion: The longer the time until the amount A is due, the smaller is its present value, as we would expect.] (A) Choose the correct graph of P=9,000e-0.061, 0sts 80. & OB. O.C. OD. AF Q Q AP Q AP 9000 9000- 9000- 17: 14: 80 (B) lim 9.000e -0.061_ AP 9000- 0+ 80

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 37E
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Solving A = Pet for P, we obtain P = Aer which is the present value of the amount A due in t years if money earns interest at an annual nominal rate r compounded continuously.
(A) Graph P=9,000e -0.06, 0≤t≤80.
(B) Find limo
9,000e -0.06t
[Guess, using part (A).]
[Conclusion: The longer the time until the amount A is due, the smaller is its present value, as we would expect.]
-0.06t
(A) Choose the correct graph of P = 9,000e
0st≤80
GM
A.
O C.
O D.
AP
Q
Q
9000-
Q
Q
M
-0.06t
(B) lim 09.000e
OB.
9000
AP
Q
G
AP
9000+
80
AP
9000-
80
Q
Q
Transcribed Image Text:Solving A = Pet for P, we obtain P = Aer which is the present value of the amount A due in t years if money earns interest at an annual nominal rate r compounded continuously. (A) Graph P=9,000e -0.06, 0≤t≤80. (B) Find limo 9,000e -0.06t [Guess, using part (A).] [Conclusion: The longer the time until the amount A is due, the smaller is its present value, as we would expect.] -0.06t (A) Choose the correct graph of P = 9,000e 0st≤80 GM A. O C. O D. AP Q Q 9000- Q Q M -0.06t (B) lim 09.000e OB. 9000 AP Q G AP 9000+ 80 AP 9000- 80 Q Q
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