Step-by-step explanation:
the average change rate is simply the change of the functional values in a given interval relative to the change of the input values.
in short
(f ( interval upper limit) - f (interval lower limit) ) /
(interval upper limit) - (interval lower limit)
and you know that f (x) is usually also called y (the functional result variable).
so, the upper limit is 0, the lower limit is -2.
y (or f (x)) is 6 and 10 at these points.
and we get
(6 - 10) / (0 - -2) = -4 / 2 = -2
Answer:
10.153 years
Step-by-step explanation:
The future value of such an investment is given by ...
FV = P·(1 +r/12)^(12t)
where P is the principal invested, FV is the future value of it, r is the annual interest rate, and t is the number of years.
Dividing by P and taking the log, we have ...
FV/P = (1 +r/12)^(12t)
log(FV/P) = 12t·log(1 +r/12)
Dividing by the coefficient of t gives ...
t = log(FV/P)/log(1 +r/12)/12 = log(3000/2000)/log(1 +.003333...)/12 ≈ 121.842/12
t ≈ 10.153 . . . years
Answer:
The center of the circle is c=50 and radius of the circle is 
Step-by-step explanation:
Given circle equation is

Equation (1) can be written as 
we know that the equation of the circle is of the form

with centre (-g,-f) and radius=
when, g,f and c are constants
Now comparing the (2) and (3) equations we get 2g=-4





and 
Now to find the centre and radius of the given circle equation, substituting the values of g,f,c in the formulae of centre and radius
centre=(-g,-f)
=(-(-2),-7)
centre=(2,7)
Radius=
=
=
=
Radius=
The center of the circle is c=50 and the radius of the circle equation 
Answer:
Step-by-step explanation:
Hope this helps! Please mark as brainlest.
Thanks!
The answer is x=5. I've included the work in the picture attached.