Wallace will pay $6,325 after 6 years.
Given:
Principal = 5,000
interest rate = 4%
Term = 6 years
Compound Interest means that the interest earned will also be earning its own interest.
Compound Interest = Principal x (1+r)^t
C.I. = 5,000 x 1.04⁶
C.I. = 5,000 x 1.265
C.I. = 6,325 TOTAL AMOUNT HE WILL PAY.
6,325 - 5,000 = 1,325 interest for 6 years.
-2/3 is the correct answer
Answer:
The rate of change of function g is: 3/2
Step-by-step explanation:
Given the table of function g
x y
2 4
4 7
6 10
8 13
We know that rate of change is also termed as the slope of the function.
Thus,
let us take any two points, let say
(2, 4) and (4, 7)
Determining the slope between (2, 4) and (4, 7)
(x₁, y₁) = (2, 4)
(x₂, y₂) = (4, 7)
Using the formula
Rate of change or Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [7 - 4] / [4 - 2]
= 3 / 2
Thus, the rate of change of function g is: 3/2
Answer:
a) 
, b) 
, 
, c) , d)
Step-by-step explanation:
a) Let derive the function:
is undefined when denominator equates to zero. The critical point is:
b) 
when numerator equates to zero. That is:
This equation shows two critical points:
,
c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that corresponds to a local maximum. (See Attachment)
d) By plotting the function, it is evident that corresponds to a local minimum. (See Attachment)
has characteristic equation
which has roots at
. The negative root has multiplicity 2. So the general solution is
