Answer:
Step-by-step explanation:
The equation for a tangent line of f(x) in the point (a,f(a)) can be calculated as:
L(x) = f(a) + f'(a)(x-a)
Where L(x) is also call a linear approximation and f'(a) is the value of the derivative of f(x) in (a,f(a)).
So, the derivative of f(x) is:
Then, to find the linear approximation we are going to use the point (16, f(16)). So a is 16 and f(a) and f'(a) are calculated as:
Then, replacing the values, we get that the equation of the tangent line in (16,4) is:
Finally, the approximation for 
is:
Answer: $ 290 thousand
Step-by-step explanation:
Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.
Let X be the the average price of a new home in 2000 .
Then , the 62 % increase in price is given by :-
Since , the the average price of the home in 2016 = $470 thosand
Hence, the average price of a new home in 2000 = $ 290 thousand .
Answer:
b
Step-by-step explanation:
9 x 37 = 333
Answer:
5.13%.
Step-by-step explanation:
Amount accumulated in 1 year
= 1600(1 + 0.05/360)^360
= $1682.03
Account's effective annual yield
= 82.03 * 100 / 1600 %
= 5.13%.
Answer:
m∡GHI = 21°
Step-by-step explanation:
Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.
That means you can set them equal to each other
x + 7 = 3x - 21
x = 14
Now plug x into GHI
14 + 7 = 21
m∡GHI = 21°
