• Plan A: The investment will earn 4% interest compounded annually. • Plan B: The investment will be supplemented with $50 annually. • Plan C: The investment will be supplemented by an amount that increases by $10 each year. Alex made the table below to compare the projected values of the investments over time under the three plans. Years Plan A Plan B 1,050 Plan C 1. 1,217 1,601 2,666 7,107 52,525 1,010 1,150 1,780 4,250 13,750 52,510 1,040 1,250 1,600 2,250 12 25 50 3,500 101 6,050 Assuming the plans have indefinite investment periods, which of the three plans will be worth the most in 150 years, and why? Plan A will be worth the most, because it grows according to a linear function while the other plans grow according to polynomial functions. Plan C will be worth the most, because it grows according to an exponential function while the other plans grow according to polynomial functions. Plan A will be worth the most, because it grows according to an exponential function while the other plans grow according to polynomial functions. Plan C will be worth the most, because it grows according to a quadratic function while the other plans grow according to linear functions.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Alex compares different investment plans. She has $1.000 to invest and has the following options:
• Plan A: The investment will earn 4% interest compounded annually.
• Plan B. The investment will be supplemented with $50 annually.
• Plan C: The investment will be supplemented by an amount that increases by $10 each year.
Alex made the table below to compare the projected values of the investments over time under the three plans.
Years Plan A Plan B
1,050
1,250
Plan C
1,010
1,150
1,780
4,250
13,750
52,510
1,040
1,217
12
1,600
2,250
3,500
6,050
1,601
2,666
7,107
25
50
101 52,525
Assuming the plans have indefinite investment periods. which of the three plans will be worth the most in 150
years, and why?
Plan A will be worth the most, because it grows according to a linear function while the other plans grow
according to polynomial functions.
Plan C will be worth the most, because t grows according to an exponential function while the other plans
grow according to polynomial functions.
Plan A will be worth the most, because it grows according to an exponential function while the other plans
grow according to polynomial functions.
Plan C will be worth the most, because it grows according to a quadratic function while the other plans
grow according to linear functions.
Transcribed Image Text:Alex compares different investment plans. She has $1.000 to invest and has the following options: • Plan A: The investment will earn 4% interest compounded annually. • Plan B. The investment will be supplemented with $50 annually. • Plan C: The investment will be supplemented by an amount that increases by $10 each year. Alex made the table below to compare the projected values of the investments over time under the three plans. Years Plan A Plan B 1,050 1,250 Plan C 1,010 1,150 1,780 4,250 13,750 52,510 1,040 1,217 12 1,600 2,250 3,500 6,050 1,601 2,666 7,107 25 50 101 52,525 Assuming the plans have indefinite investment periods. which of the three plans will be worth the most in 150 years, and why? Plan A will be worth the most, because it grows according to a linear function while the other plans grow according to polynomial functions. Plan C will be worth the most, because t grows according to an exponential function while the other plans grow according to polynomial functions. Plan A will be worth the most, because it grows according to an exponential function while the other plans grow according to polynomial functions. Plan C will be worth the most, because it grows according to a quadratic function while the other plans grow according to linear functions.
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