Answer:
t = In2/ r
Step-by-step explanation:
Given the formula : A = Pe^rt
For investment to double ;
Final amount (A) = 2 * initial investment (p)
A = 2p
Hence,
2p = pe^rt
2 = e^rt
Take the In of both sides
In2 = rt
Divide both sides by r
In2 /r = rt /r
In2/ r = t
t = In2/ r ; Hence, the proof
Answer:
and 
Step-by-step explanation:
we have

we know that
Compound inequality can be divided into two inequalities
so

rewrite

and

therefore
An equivalent form of the compound inequality is
and 
The scale factor is 3 as the lengths in the bigger triangle when divided by 3 gives the lengths in the smaller triangle
Answer:
To meet her goal, Noelle must run more than
the rest of the month
Step-by-step explanation:
Let
h-------> the number of hours Noelle runs for the rest of the month
we know that
The inequality that represent the situation is

Solve for h
Subtract 10 both sides


Divide by 5 both sides

Obtuse, accute, obtuse, acute, A.