Answer:
Step-by-step explanation:
The relation between the variables is given by
This is a separable differential equation. Rearranging terms:
Multiplying by -1
Integrating
Where D is a constant. Applying expoentials
Where , another constant
Solving for P
With the initial condition P=0 when t=0
We get C=-M. The final expression for P is
Keywords: performance , learning , skill , training , differential equation
<u>Answer:</u>
The Ranking Percentile is (B) 97.5%
<u>Explanation
:</u>
To find the percentile rank we need to find the z- score. After finding the z-score match this value with the corresponding value in z-score table.
Formula to find the z-score
Z-score=
Substituting the values in the above equation, we find
Z-score= =2
So, the Z-score is +2
Now, the corresponding value of Z-score 2 in the table is 0.9772
or the percentile score is 97.72 ~ 97.5
.
Answer:
$150
Step-by-step explanation:
Simple interest for any principal amount p , rate of interest r and time t is given by
Simple interest = (p*r*t)/100
_________________________________
Given
p =$500
r = 3%
t = 10 years
Therefore SI = $500*3*10/100 = $150.
$150 is earned in 10 years at 3% simple interest on $500.
Answer:
k(3) = 18
Step-by-step explanation:
k(n) = 2n²
k(3) = 2 * (3)²
k(3) = 2 * 9
k(3) = 18
90/9 because 90 divided by 9 equals 10