Answer:
Step-by-step explanation:
the percent increase is
(50-20/20)*100=(30/20)*100=150
150% increase
Answer:
.
Step-by-step explanation:
The equation of a circle of radius 
centered at 
is:
.
.
Differentiate implicitly with respect to 
to find the slope of tangents to this circle.
![\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E%7B2%7D%20%2B%20y%5E%7B2%7D%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B25%5D)
.
Apply the power rule and the chain rule. Treat 
as a function of , 
.
.
.
That is:
.
Solve this equation for 
:
.
The slope of the tangent to this circle at point 
will thus equal
.
Apply the slope-point of a line in a cartesian plane:
, where
is the gradient of this line, and
are the coordinates of a point on that line.
For the tangent line in this question:
,
.
The equation of this tangent line will thus be:
.
That simplifies to
.
Answer:
If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years.
Step-by-step explanation:
hope this helps
Answer:
Eu não sei cara, sinto muito, cara, não me denuncie ou você é apenas um idiota metido
Step-by-step explanation:
Eu não sei cara, sinto muito, cara, não me denuncie ou você é apenas um idiota metido
