Answer:
a) Yes
b) No
c) Yes
d) No
e) No
Step-by-step explanation:
Right triangle:
The square of the larger side is equals to the sum of the squares of the smaller sides.
a. 6, 8, 10
The answer is yes.
b. 8, 15, 16
So no.
c. 10, 24, 26
So yes
d. 20, 21, 28
So no.
e. 9, 35, 41
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.