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Margarita [4]
2 years ago
6

Would you rather receive $10,000 a day for 31 days or a penny that doubles in value every day for 31 days?

Mathematics
1 answer:
bagirrra123 [75]2 years ago
7 0

This shows how much you would make per day for both choices.

Total earned in 31 days for $10,000 per day: $310,000

Explanation

$10,000 every day in 31 days.

Total earned in 31 days for penny: 21,474,836.47

Explanation

Day 1: $0.01

Day 2: $0.02

Day 3: $0.04

Day 4: $0.08

Day 5: $0.16

Day 6: $0.32

Day 7: $0.64

Day 8: $1.28

Day 9: $2.56

Day 10: $5.12

Day 11: $10.24

Day 12: $20.48

Day 13: $40.96

Day 14: $81.92

Day 15: $163.84

Day 16: $327.68

Day 17: $655.36

Day 18: $1,310.72

Day 19: $2,621.44

Day 20: $5,242.88

Day 21: $10,485.76

Day 22: $20,971.52

Day 23: $41,943.04

Day 24: $83,886.08

Day 25: $167,772.16

Day 26: $335,544.32

Day 27: $671,088.64

Day 28: $1,342,177.28

Day 29: $2,684,354.56

Day 30: $5,368,709.12

Day 31: $10,737,418.24

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Tavius wants to invest $2,500. Which option will earn him the best value?
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Tavius would earn his best value if he invests in a  three-year certificate of deposit with a nominal interest rate of 4 percent.

Tavius would invest in the option that yields the highest interest. This is the best value. In order to determine which option is the best, the interest rate of each option has to be determined.

<em><u>Interest rate of the first option</u></em>

Interest earned = amount invested x time x interest rate

$2500 x 0.03 x 2 = $150

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<em><u>Interest rate of the second option</u></em>

Interest earned = amount invested x time x interest rate

$2500 x 0.03 x 1 = $75

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<em><u>Interest rate of the third option</u></em>

Interest earned = amount invested x time x interest rate

$2500 x 0.04 x 3 = $300

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<em><u>Interest rate of the fourth option</u></em>

FV = P x (1 + r) n

$2500 x (1.03) = $75

A similar question was answered here: brainly.com/question/24748787?referrer=searchResults

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2 years ago
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So, 4log(5)= log(5^4) = log(625)

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