Answer:
c = 289
Step-by-step explanation:
Given
x² + 34x
To complete the square
add ( half the coefficient of the x- term )² to x² + 34x
= x² + 2(17)x + 17²
= x² + 34x + 289 ( with c = 289 )
= (x + 17)² ← perfect square
The principal loan amount will be 250000. P is denoted by the principal loan amount
<h3> What is the amount?</h3>
The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.
The given data in the problem is;
P is the principal loan amount
r is the rate of interest = 2.49%
n is the time period= of 30 years
The formula for the principal loan amount is found as;


Hence the principal loan amount will be 250000.
To learn more about the amount, refer to the link;
brainly.com/question/12184047
#SPJ1
By looking at the graph you can rule out choices C and D because the graph given to you is an increasing linear function and C and D represent functions with a decreasing or negative slope.
By looking at the picture the slop of the graph seems to be 4/1 (rise/run) so your slope is 4. And your y-intercept looks like its -4 so your answer is B<span />
Answer: The required derivative is 
Step-by-step explanation:
Since we have given that
![y=\ln[x(2x+3)^2]](https://tex.z-dn.net/?f=y%3D%5Cln%5Bx%282x%2B3%29%5E2%5D)
Differentiating log function w.r.t. x, we get that
![\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [x'(2x+3)^2+(2x+3)^2'x]\\\\\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [(2x+3)^2+2x(2x+3)]\\\\\dfrac{dy}{dx}=\dfrac{4x^2+9+12x+4x^2+6x}{x(2x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{8x^2+18x+9}{x(2x+3)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%5Cdfrac%7B1%7D%7B%5Bx%282x%2B3%29%5E2%5D%7D%5Ctimes%20%5Bx%27%282x%2B3%29%5E2%2B%282x%2B3%29%5E2%27x%5D%5C%5C%5C%5C%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%5Cdfrac%7B1%7D%7B%5Bx%282x%2B3%29%5E2%5D%7D%5Ctimes%20%5B%282x%2B3%29%5E2%2B2x%282x%2B3%29%5D%5C%5C%5C%5C%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%5Cdfrac%7B4x%5E2%2B9%2B12x%2B4x%5E2%2B6x%7D%7Bx%282x%2B3%29%5E2%7D%5C%5C%5C%5C%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%5Cdfrac%7B8x%5E2%2B18x%2B9%7D%7Bx%282x%2B3%29%5E2%7D)
Hence, the required derivative is 
The total amount of his commission for these vehicles is $ 1686
<em><u>Solution:</u></em>
Given that,
Miles earns a 6% commission on each vehicle he sells
Therefore,
Commission rate = 6 %
Today he sold a truck for $18,500 and a car for $9,600
Therefore,
Commission amount = 6 % of (18500 + 9600)
Commission amount = 6 % of 28100
Calculate the above equation

Thus the total amount of his commission for these vehicles is $ 1686