Answer:
It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.
Step-by-step explanation:
Use the formula for continuous compounding

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.
(this formula can be beautifully derived from just basic considerations, btw)
We are given t=5, and percent increase on the initial P, so we can solve for r

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.
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<em>13/6</em>
<em>2 1/6</em>
- Step-by-step explanation:
<em>²⁾2/3 + ³⁾3/2 = </em>
<em>= 4/6 + 9/6</em>
<em>= (4 + 9)/6</em>
<em>= 13/6</em>
<em>= 2 1/6</em>
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