The function given by y = f(x) shows the value of $8000 invested at 6% interest compounded continuously, x years after the money was originally invested. Value of $8000 with Continuous Compounding at 6% 60,000 50,000 40,000 (25, 35,854) (20, 26,561) 30,000 - (10, 14,577). 20,000 10,000 (5, 10,799) 5 10 15 20 25 30 Number of Years a. Find the average amount earned per year between the 5th year and the 10th year. b. Find the average amount earned per year between the 20th year and the 25th year. c. Based on the answers from parts (a) and (b), does it appear that the rate at which annual income increases is increasing or decreasing with time? Value ($)
The function given by y = f(x) shows the value of $8000 invested at 6% interest compounded continuously, x years after the money was originally invested. Value of $8000 with Continuous Compounding at 6% 60,000 50,000 40,000 (25, 35,854) (20, 26,561) 30,000 - (10, 14,577). 20,000 10,000 (5, 10,799) 5 10 15 20 25 30 Number of Years a. Find the average amount earned per year between the 5th year and the 10th year. b. Find the average amount earned per year between the 20th year and the 25th year. c. Based on the answers from parts (a) and (b), does it appear that the rate at which annual income increases is increasing or decreasing with time? Value ($)
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...
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Transcribed Image Text:The function given by y = f(x) shows the value of $8000 invested at 6% interest compounded continuously, x years after
the money was originally invested.
Value of $8000 with Continuous
Compounding at 6%
60,000
50,000
40,000
(25, 35,854)
(20, 26,561)
30,000
- (10, 14,577).
20,000
10,000
(5, 10,799)
5
10
15
20
25
30
Number of Years
a. Find the average amount earned per year between the 5th year and the 10th year.
b. Find the average amount earned per year between the 20th year and the 25th year.
c. Based on the answers from parts (a) and (b), does it appear that the rate at which annual income increases is increasing
or decreasing with time?
Value ($)
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