Answer:
It takes 22.52 years for the balance to triple in value.
Step-by-step explanation:
Continuous compounding:
The amount of money earned using continuous compounding is given by the following equation:

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
Interest rate of 5%.
This means that
, and thus:



Time for the balance to triple?
This is t for which
. So







It takes 22.52 years for the balance to triple in value.
To get the that relates x and y, we choose two points on the table and use the equation of a straight line as follows:
Recall that the equation of a staight line is obtained from the formula

Using the points (30, 18) and (36, 24), we have
12 girls for every 5 boys
boys is second so it shouldb be indenomenaotr (bottom)
girls/boys
12girls/5boys=2.4girls/boy
answer is B
Answer:
Correct choice is 2. 
Step-by-step explanation:
We have been given a graph of the quadratic function. Now we need to use that graph to find the equation of the graph in vertex form. By the way given choices written in intercept form so to be accurate we are going to find the equation in intercept form.
from graph we see that x-intercepts are at 5 and -2.
we know that if x=a is x-intercept then (x-a) must be factor.
So (x+2)(x-5) is the factor.
when leading coefficient is positive then graph opens upward.
so that means leading coefficient is 0.4
Hence correct choice is 2. 
Answer:
-9
Step-by-step explanation:
you put in -1 where there is an x in the equation
3(-1) + 6(-10)
-3 - 6
-9 is the answer