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:
0.15
Step-by-step explanation:
Total number of students surveyed = 300
From the table,
(Girl n apple) = 46
P(girl n apple) = 46 / 300 = 0.153
9514 1404 393
Answer:
yes
Step-by-step explanation:
The height that would be allowed with a ramp 43.5 feet long is ...
h = (43.5 ft)·sin(4.8°) ≈ 3.64 ft
The proposed height is less than 3.64 ft, so the ramp angle is less than 4.8°.
__
The ramp angle is actually arcsin(3/43.5) ≈ 3.95°, which is less than 4.8°.
Answer:
the think the answer is b.
Step-by-step explanation: