A) Now look, in the year 2000, the population is 118,000
In the year 2006 is 138,000
To find the percent change |Original Amt - New Amt| -------------------------------- x100
Original Amt
So for this question you would do 118,00 - 138,000 (ignore the negativesss)
and you get -20,000 (ignore the negatives) and then you get 20,000
Now, you have to do 20,000 divided by 118,000 x 100
20,000 divided by 118,000 and you get 0.169491525
Now you have to multiply 0.169491525 by 100
0.169491525 x 100 = 16.9491525
Round this and you get a 16.9% change.
b) To predict the population in 2012 you will have to do 138,000 + 16.9%
To calculate this you have to do this:
138,000 x 0.169 = 23322
Now add 23,322, to 138,000 and you get 161,322.
A) 16.9%
B) 161,322
hope this helped :)
Answer:
(0,170) and (60,-70) and (5, 150)
Step-by-step explanation:
To see if a given point is on the line or not, you just have to enter the x value (first value in the parenthesis) and see if the function returns the correct y value (second number in the parenthesis).
f(x) = -4x + 170
(170,0) => -4 (170) + 170 = -680 + 170 = 510. NO, not equal to 0.
(0,170) => -4 (0) + 170 = 0 + 170 = 170. YES
(12, 126) => -4 (12) + 170= -48 + 170= 122. No, not equal to 126.
(50,30) => -4(50) + 170 = -200 + 170 = 130. No, not equal to 30.
(5, 150) => -4(5) + 170 = -20 + 170 = 150. YES
(60,-70) => -4(60) + 170 = -240 + 170 = -70. YES
Third, the graph decreases from left to right because if you plug it into a graphing calculator - you can see that the line is a straight line, and does not decrease or increase whatsoever
a.
b.
The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.
c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:
Now, calculating the coefficient b (y-intercept), we have:
So the equation is:
d.
The maximum value of stress is 560, and occurs at strain = 0.07.
