Answer:
Step-by-step explanation:
First pull out the common factor of ab
ab(8a^3 + (1/125)b^3)
This is basically the sum of cubes. The linear factor is
(2a + 1/5 b)
The other factor is these two factors squared and their multiplicand subtracted.
(2a^2 - 2/5 ab + 1/25b^2)
Now put all this together and you get
ab(2a + 1/5 b)((2a^2 - 2/5 ab + 1/25b^2)
Given:
$600 principal
8% rate = 8/100 = 0.08
3 years time
Solving for A:
A = P⋅e^rt
where:
A is the amount
P is the principal
e is the mathematical constant
r is the rate of interest
t is the time in years
A = P⋅e^rt
= 600⋅e^(0.08⋅3)
= 600(2.718281828459045)^(0.24)
A = $762.70
$600 compounded continuously at a rate of 8% for 3 years will yield a final amount of $762.70
Always. A rectangle is a shape made of 2 sets of equal length parallel lines that forms 4 right angles. So all squares are rectangles and some rectangles are squares.
as listed:
1,4,9,16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196.
The range is the highest value - lowest value
93 - 87 = 6