Answer:
The equation can be used to determine the amount of money S(t) that her savings account has after t years is 
Step-by-step explanation:
A student invests $500 in a savings account
Principal = $500
Rate of interest = 4% = 0.04
We are supposed to find equation can be used to determine the amount of money S(t) that her savings account has after t years
Formula : 
Where A is the amount after t years =S(t)
t = time
r = rate of interest in decimals =0.04
P = Principal=500
Substitute the value in the formula :
So, 

Hence The equation can be used to determine the amount of money S(t) that her savings account has after t years is 
Answer:
A and D
Step-by-step explanation:
531 divided by 4 is 132.75. You can check by doing 132.75 x 4.
Given:
The equation is:

To find:
The value of a.
Solution:
We have,

On simplification, we get




On comparing both sides, we get




And,




Therefore, the value of a is 2.
Answer:
{A and B are independent events}, P(A|B)=P(A)=0.16
Step-by-step explanation:
First of all we need to know when does two events become independent:
For the two events to be independent, P(A|B)=P(A) that is if condition on one does not effect the probability of other event.
Here, in our case the only option that satisfies the condition for the events to be independent is P(A|B)=P(A)=0.16.. Rest are not in accordance with the definition of independent events.