Answer:
A) 2.9% of GDP
B) 8.73% of GDP
Step-by-step explanation:
A) To find the rate of spending, let's find the derivative of the function
P(t) = 0.27t² + 1.4t + 2.1 (0 <= t <= 5)
So,
dP/dt = 0.54t + 1.4 which is the annual growth rate.
Since t is measured in decades, thus in 2030 ,it will have been 3 decades, so we have t = 3
So, at t=3; dp/dt = 0.5(3) + 1.4 = 1.5 + 1.4 = 2.9 which means spending in 2030 will be growing at rate of 2.9%
B) The predicated spending is;
P(t) = 0.27t² + 1.4t + 2.1
Thus, in 2030, will be 3 decades so, t= 3
Thus;
P(3) = 0.27(3²) + 1.4(3) + 2.1 = 8.73 which is 8.73% of GDP
Answer:
y = -6x + 4
Step-by-step explanation:
2 parallel lines should have equal slope
Rewrite 6x + y = 92
It is now y = -6x + 92. Slope is -6
So the new equation should also have -6 as the slope.
y = -6x + b
Substitute (1,-2) into this equation
-2 = -6(1) + b
-2 = -6 + b
4 = b
So equation is y = -6x + 4
Answer:
c
Step-by-step explanation:
See explanation below.
Explanation:
The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..
Assume we have some function of a single variable
x
;
we'll call this
f
(
x
)
Then we can form an equation:
f
(
x
)
=
0
Then the "roots" of this equation are all the values of
x
that satisfy that equation. Remember that these values may be real and/or imaginary.
Now, up to this point we have not assumed anything about
f
x
)
. To consider factors, we now need to assume that
f
(
x
)
=
g
(
x
)
⋅
h
(
x
)
.
That is that
f
(
x
)
factorises into some functions
g
(
x
)
×
h
(
x
)
If we recall our equation:
f
(
x
)
=
0
Then we can now say that either
g
(
x
)
=
0
or
h
(
x
)
=
0
.. and thus show the link between the roots and factors of an equation.
[NB: A simple example of these general principles would be where
f
(
x
)
is a quadratic function that factorises into two linear factors.
33/100
this is the simplest form
tnx
hope i hepled you
