Answer:
Step-by-step explanation:
If we expand 4(3+x), we get (4*3)+(4*x).
Then we do 4*3 to get 12 and 4*x to get 4x
(3+3+3+3) is the same thing as 4*3, because we are adding 3 together 4 times. (3+3+3+3) gives us 12 as well, since they are the same thing.
(x+x+x+x) is the same thing because we are adding x together 4 times, which is the same thing as (4*x). (x+x+x+x) gives us 4x as well.
Hope this helps.
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
.
98
2 49
7 7
so the answer is 2 x 7 x 7, which is 2 x 7^2
40% is equal to 0.4
10 / .4 = 25
40% of 25 is 10.
Hope this helps!
Answer:
$125
Step-by-step explanation:
To solve this, we need to find 2.5% of 5,000. To do this, we multiply 5,000 by .025. This gets us 125. That means you earn $125 worth of interest in one year.
