Answer:
Step-by-step explanation:
Find the equation of the segment going from (0,-5) to (3,7)
y intercept = -5
Slope = (-5 - 7) / (0 - 3) = -12/-3 = 4
equation: y = 4x - 5
g(x) = x^2 / f(x)
f(x)= (4x - 5)
g(x) = x^2 / (4x - 5)
g'(x) = x^2 * (4x - 5)^-1
g'(x) = 2x*(4x - 5)^-1 + (-1) *4* x^2 (4x - 5)^-2
I will leave that monster the way it is and just find g'(1)
g'(1) = 2(1) * (4(1) - 5)^-1 + (-1) (1)^2 *4* (4(1) - 5)^-2
g'(1) = 2(1) * (-1)^-1 + (-1) (1)^2 *4 * (-1)^2
g'(1) = -2 + (-1) (1)^2 (4)
g'(1) = - 2 + (-1) (1)^2 (4)
g'(1) = - 2 - 4
g'(1) = - 6
To find the percent increase, we divide the amount of change by the original number. The amount of change is the difference between the 2 numbers which in this case is 700 - 620 and the original number is 620.
700 - 620 is 80 so we're left with which is 0.129.
Finally, since our problem is asking for a percent, we write 0.129 as a percent by moving the decimal point 2 places to the right to get 12.9%
So when the population of a town changes from 620 to 700, it has increased by 12.9%.
The question is set up oddly, but if they mean that one of the interior angles of a triangle measures 52degrees, what is the measure of its exterior angle, the you’d do the following: 180 (since they would form a linear pair) - 52 = 128 degrees.
The formula for figuring the monthly payments on such a loan is
... A = P(r/12)/(1 -(1 +r/12)^(-12t))
where r is the annual interest rate (.065), P is the principal amount (we want to find), t is the number of years (30), and A is the monthly payment.
Filling in the given values, we have
... 821.69 = P(.065/12)/(1 - (1 +.065/12)^(-12*30)) = 0.00632068·P
Then the principal amount is
... P = 821.69/0.00632068 = 130,000.25
The most appropriate choice is ...
... 4. $130,000