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 $
<span> (4.08)(0.7) = 2.856
--------------------------------</span>
Answer: 5.5 seconds
Step-by-step explanation:
30=5/4 ×(-20) + 10t
30 =-25 +10t
10t=55
t=5.5seconds
The cord will first touch the corner of the building after 5.5secs
Hey!
So before trying to figure out the equation of the line, lets change -3y+4x = 9 into slope-intercept form:
-3y + 4x = 9
-3y = -4x + 9
y = (4/3)x - 3
Now that you have the equation in slope-intercept form we can find the equation of the line parallel to this. One thing that we are given from this equation is the slope of the line, the slope for two parallel lines are the same. So we know that the slope of the line is 4/3. We are also given another point on the line and we can plug this point in for y and x to find the y-intercept or b:
6 = (4/3)(-12) + b
6 = -16 + b
22 = b
Now that we know b, we have both the y-intercept and the slope so our equation would be:
y = (4/3)x + 22
A quadratic equation has the general form
of: <span>
y=ax² + bx + c
It can be converted to the vertex form in order
to determine the vertex of the parabola. It has the standard form of:
y = a(x+h)² - k
This can be done by completing a square. The steps are as follows:
</span><span>y = 3x2 + 9x – 18
</span>y = 3(x2 <span>+ 3x) – 18
</span>y + 27/4= 3(x2 <span>+ 3x+ 9/4) – 18
</span>y = 3(x2 + 3/2)^2 – 99<span>/4
</span>
Therefore, the first step is to group terms with the variable x and factoring out the coefficient of x^2.
