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:
Step-by-step explanation:
10% of 10.40=1.04
10.40+1.04=11.44
Answer:
Inequality: 
Inequality solved: 
The graph is attached.
Step-by-step explanation:
You need to remember the meaning of the inequalities symbols:
: Less than.
: Greater than.
: Less than or equal to.
: Greater than or equal to.
Let be "x" the number of more songs Carlotta can download.
According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol
.
Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:

In order to solve it, you must subtract 10 from both sides:

Plot this result on a number line.
Since the symbol of the inequality is
, the dot must be filled (Observe the number line attached).
Answer:
1/45
Step-by-step explanation:
There are 10 marbles
P ( yellow) = yellow marbles / total = 2/10 = 1/5
We do not replace the marble
There are 9 marbles, 1 of which is yellow
P ( yellow) = yellow marbles / total = 1/9
P ( yellow, no replacement, yellow) = 1/5 * 1/9 = 1/45