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.
Answer:
<em>The probability that the next flower seed will sprout is 0.667 or 66.7%</em>
Step-by-step explanation:
<u>Probability</u>
The experimental or empirical probability can be defined as the ratio of the number of times an event occurs to the total number of times the random activity was performed.
It can be calculated as the relative frequency of an event A in a sample space. The question states 32 seeds of a certain flower sprout out of 48 planted seeds. The relative frequency of success is computed as

Thus, the probability that the next flower seed will sprout is 0.667 or 66.7%
<span>(y^5)^2 = y^10
This is power of a power property</span>
13 divided by 11.3 is 1.150442477876106. So 15 by 1.150442477876106 and you get 13.03846162772485. Just round it to the nearest tenth and you get 13.0.