What interest rate, to the nearest tenth of a percent, that is required for an investment subject to continuous compounding to increase 150% in 5 years?

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.

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length