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cdradlet2001
22.01.2021 •
Mathematics
The red figure is congruent to the blue figure. Describe a sequence of rigid motions between the figures.
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Ответ:
5.08 years
Step-by-step explanation:
We are to solve for time using compound interest formulas
For Hailey
Principal = $200
Amount = Double of Principal = $4000
Rate = 2 3/8% = 2.375.
Time = ?
Hence,
First, convert R as a percent to r as a decimal
r = R/100
r = 2.375/100
r = 0.02375 per year,
Then, solve the equation for t
t = ln(A/P) / r
t = ln(4,000.00/2,000.00) / 0.02375
t = 29.185 years
≈ 29.19 years
For Sophie
Principal = $200
Amount = Double of Principal = $4000
Rate = 2 7/8% = 2.875
Time = ?
First, convert R as a percent to r as a decimal
r = R/100
r = 2.875/100
r = 0.02875 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 0.02875/365)] )
t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 7.8767E-5)] )
t = 24.11 years
How much longer would it take for Hailey's money to double than for Sophie's money to double?
For Hailey it takes 29.19 years
For Sophie it takes 24.11 years
We find the difference
= 29.19 - 24.11
= 5.08 years
Therefore, it would take 5.08 years for Hailey's money to double than Sophie