If the interest is compounded continuously, what interest rate do you need for a 5000 investment to double in 10 years

9514 1404 393

  about 6.93%

Step-by-step explanation:

The multiplier for compound interest at annual rate r is ...

  e^(rt)

We want that multiplier to be 2 when t=10. Solving for r, we get ...

  2 = e^(10r)

  ln(2) = 10r . . . . . take the natural log

  r = ln(2)/10 ≈ 6.93%

You need a continuous interest rate of about 6.93% for an investment to double in 10 years.

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

michael scott & dwight schrute

step-by-step explanation:

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