If $6000 is invested for t years at 9% interest compounded continuously, the future value is given by S= 6000 e 0.09t dollars. Complete parts (a) through (c). (a) Graph this function for 0sts 15. Choose the correct graph below. O A. O B. C. OD. AS 34,000- 34,000 AS 34,000- AS 34.000- 0- (b) Use the graph to estimate when the future value will be $8000. Choose the correct answer below. O A. t6.40 years O B. t3.20 years O C. t 4.20 years O D. t2.20 years (c) Complete the following table. t (Year) S ($) 21,152.53 (Round to the nearest whole number as needed.)

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.CT: Chapter Test
Problem 11CT
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If $6000 is invested for t years at 9% interest compounded continuously, the future value is given by S 6000 e
0.09t
dollars. Complete parts (a) through (c).
(a) Graph this function for 0sts15. Choose the correct graph below.
自
OA.
OB.
OC.
OD.
AS
AS
34,000-
AS
34,000-
AS
34,000-
34,000-
0-
(b) Use the graph to estimate when the future value will be $8000. Choose the correct answer below.
O A. t6.40 years
O B. t 3.20 years
O C. tz4.20 years
O D. t2.20 years
(c) Complete the following table.
S (S)
21,152.53
t (Year)
(Round to the nearest whole number as needed.)
Complete the following table.
t (Year)
S (S)
10
Transcribed Image Text:If $6000 is invested for t years at 9% interest compounded continuously, the future value is given by S 6000 e 0.09t dollars. Complete parts (a) through (c). (a) Graph this function for 0sts15. Choose the correct graph below. 自 OA. OB. OC. OD. AS AS 34,000- AS 34,000- AS 34,000- 34,000- 0- (b) Use the graph to estimate when the future value will be $8000. Choose the correct answer below. O A. t6.40 years O B. t 3.20 years O C. tz4.20 years O D. t2.20 years (c) Complete the following table. S (S) 21,152.53 t (Year) (Round to the nearest whole number as needed.) Complete the following table. t (Year) S (S) 10
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