Answer:
Time machine one = 3.56
Time machine two = 4.56
Step-by-step explanation:
Let machine 2 do the job in x hours
Let machine 1 do the job in x - 1 hours.
The general formula for this problem is
Time = A*B/(A + B)
Givens
Time = 2 hours
B = x hours alone
A = x - 1 hours alone.
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x *( x - 1)
======= = 2
(x + x - 1)
(x^2 - x)/(2x - 1) = 2
x^2 - x = 2(2x - 1)
x^2 - x = 4x - 2
x^2 - 5x + 2 = 0
a = 1
b = - 5
c = 2
This gives 2 roots
x = 4.56
x = 0.43
The second root will not work because when 1 is subtracted from 0.43 the time give will be minus, which won't work.
Time for machine 2 is 4.56
The time for machine 1 is 3.56
Check
(A * B)/(A + B) = 2
A = 4.56
B = 3.56
Time = 4.56*3.56/(4.56 + 3.56)
Time = 16.2336/(8.12)
Time = 1.9992
The rounding error in the check comes from the rounding error in the times.
Answer:
Anne’s after-tax rate of return from the corporate bond is 3.5% or 5% x (1-.3). Because interest from the bond is taxed annually and her rate is assumed to be constant, the after-tax rate of return doesn’t depend on her investment horizon. Thus, her annual after-tax rate of return remains at 3.5% if the bond matures in ten years.
Step-by-step explanation:
516.66 <span>km
</span>
There are 100 m in 1 km
Therefore : 880 m = 0.88 km
435 km + 80.78 km + 0.88 km = 516.66 km
