Compounded depreciation formula:
A = P(1 - r)ⁿ , where P = original price, r= rate of depreciation, n = number of years and A = actual value (after depreciation):
A= $8000(1 - 11%)⁵ = 8000(0.89)⁵ = 4,467.24 ≈$4,467
Answer:
The slope of the table is
or
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have the following ordered pairs
(2,6),(0,1),(-2,-4) and (-4,-9)
take two points
(2,6) and (-4,-9)
substitute in the formula
simplify
Answer:

________

Step-by-step explanation:
Given

Line up the numbers

Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)
Multiply the top number by the bolded digit of the bottom number

Multiply the bold numbers: 1×4=4

Multiply the bold numbers: 2×4=8

Multiply the top number by the bolded digit of the bottom number

Multiply the bold numbers: 1×1=1

Multiply the bold numbers: 2×1=2

Add the rows to get the answer. For simplicity, fill in trailing zeros.

adding portion

Add the digits of the right-most column: 4+0=4

Add the digits of the right-most column: 8+1=9

Add the digits of the right-most column: 0+2=2

Therefore,

________

Answer:
x < 0
Step-by-step explanation:
Firstly put the values with variable x to one side,
; -12 - x > -12 + 4x
; -12 + 12 > 4x + x
; 0 > 5x
then divide both sides by 5,
; (0 ÷ 5) > (5x ÷ 5)
; 0 > x
; Hence the solution to the inequality above,
; x < 0...always remember to reverse the sign when you change the side to which you put the variable of x,
Therefore...( x < 0 )
Answer:
$11,714
Step-by-step explanation:
C(x) = 0.7x² - 462x + 87,944
this is a quadratic equation that opens up
the vertex will be the minimum
From the quadratic formula the x coordinate of the vertex is
x = -b/2a
x = 462/(2 * 0.7)
x = 330
Plug in
c(330) = 0.7(330²) - 462(330) + 87,944
c(330) = 11,714
$11,714