Yes, both are repeating fractions
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Answer:
Boat = 20 mph
Current = 5 mph
Step-by-step explanation:
If b is the speed of the boat, and c is the speed of the current, then:
b + c = 225 / 9 = 25
b − c = 225 / 15 = 15
Solve the system of equations with elimination.
2b = 40
b = 20
Plug back into either equation to find the speed of the current.
c = 5
This is an exponential decay problem.
Using the equation Y = a *(1-rate)^time
where Y is the future value given as 12,000 and a is the starting value given as 13,000.
The rate is also given as 5%.
The equation becomes:
12,000 = 13,000(1-0.05)^x
12,000 = 13,000(0.95)^x
Divide each side by 13000:
12000/13000 = 0.95^x/13000
12/13 = 0.95^x
Use the natural log function:
x = ln(12/13) / ln(0.95)
x = 1.56 years. ( this will equal 12,000
Round to 2 years it will be less than 12000.
