Answer:
Nat's salary after 3 years = 976562.5 $
Explanation:
Salary of Nat = $500,000
Raise in salary for next three years = 25 % = 0.25
Salary of Nat after 1 year = 500,000 + 0.25 * 500,000 = 625000 $
Salary of Nat after 2 years = 625000 + 0.25 * 625000 = 781250 $
Salary of Nat after 3 years = 781250 + 0.25 * 781250 = 976562.5 $
So, Nat's salary after 3 years = 976562.5 $
Easy Method;
No of years considering = 3
Initial salary = $500,000
Rate of increase = 0.25
Final salary 
$
Nat's salary after 3 years = 976562.5 $
Answer:
In the form of
Y= mx+c
Y= 1/2x +2
m = 1/2
Step-by-step explanation:
A linear equation in it's standard form is in the format
Y= mx+c
Where m is the slope and c is the y intercept
Let's use these two points to determine both the slope and the equation
(2, 3), (4,4)
Slope= (y2-y1)/(x2-x1)
Slope= (4-3)/(4-2)
Slope= 1/2
Equation of the linear function
(Y-y1)/(x-x1)= m
(Y-3)/(x-2)= 1/2
2(y-3) = x-2
2y -6 = x-2
2y= x-2+6
2y= x+4
Y= 1/2x +2
See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
Answer: second option.
Step-by-step explanation:
You must apply 
Then, given the right triangle and the angle D, the opposite side and the hypotenuse of the triangle are the following:
Therefore, when you substitute values, you have:
Reduce the fraction, then you obtain:
Step-by-step explanation:
Given :
1- cosA = 1/2
or, CosA = 1 -1/2
Therefore ; CosA = 1/2 = b/h
According to the Pythagoras theorem,
P = root under h^2 - b^2
= root under (2)^2 - (1)^2
= root under 4 -1
= root 3
Again,
SinA = P/h
= root 3 / 2
