The answer is C) 58.5 sq. units
Just count the whole unit squares within the shape and estimate the partial ones and add them all together to get the estimated area of the irregular shape. There were 57 full squares and 3 halves for a total of 58.5 units.
The formula for compounded interest in this type of equation is:
where A is the amount at the end of the time period, P is the principal amount you start with, R is the interest rate, N is the amount of compound periods, and T is the time allotted for the money to gain interest.
P = 5000, R = 3% or 0.03, N = monthly so 12, T = 2 years
Plug in our given information into the equation:
Let the calculator do the work here...
A ≈ 5308.785 which rounds to A ≈ 5308.79
Option A is your answer.
<span>difference of f squared and g = (f^2 - g)
</span>4 times the difference of f squared and g = 4 x (f^2 - g<span>)
</span><span>sum of f squared and 2g = (f^2 + 2g)
</span>4 times the difference of f squared and g, increased by the sum of f squared and 2g = 4 x (f^2 - g) + (f^2 + 2g<span>)</span>
The fraction is 2/3
So, there should be 100 squares.
Next, the 100 squares is divided into 3 by vertical lines. The lines will not coincide with the sides of the squares. This is okay. Next, the 2 out of 3 will be shaded, this will be equivalent to 66 squares and one more square but it will not be filled up completely. In percent form, the fraction is 66.67%.
By definition, the slope of a curve is the rate of change of the independent and dependent variables. When graphed in a Cartesian plane, the slope between any two point on the curve is equal to Δy/Δx. However, we should not that only a linear function has a constant slope. For this problem, the equation is quadratic. Hence, you must specify the point where we should get the slope.
In calculus, the slope is the first derivative of the equation:
<span>y=3x</span>²<span>-8
dy/dx = slope = 6x - 0
Thus, the slope at any point of the curve is 6x. For instance, you want to find the slope of the curve at point (1,1), then the slope is equal to 6(1) = 6 units.</span>
