Answer:
See below
Step-by-step explanation:
Step 1.
P = $400
r = 0.04
t = 10 years
n = 12 ( as there are 12 months in a year).
Step 2.
A(10) = 400(1 + 0.04/12)^12^10
= 400 * 1.00333333^120
= $596.33 to the nearest hundredth (answer).
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:
Step-by-step explanation:
total weight is 4 tons.
ratio of weight of truck to weight of coal is 7:5....added = 12
so 7/12 of the total weight is the truck's
and 5/12 of the total weight is the coal
7/12 of 4 tons = 7/12 * 4 = 28/12 = 2 1/3 tons <== weight of truck
5/12 of 4 tons = 5/12 * 4 = 20/12 = 1 2/3 tons <== weight of coal
The answer is 140
Explanation:
1,400 x 10= 14,000
140,000\100=1,400
1,400 x 100= 140,000
If you are trying to figure out the distance between the top of the tree and the end of the shadow, use a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the legs of the right triangle.
5^2 + 4^2 = c^2
25 + 16 = c^2
41 = c^2
c = √41 = 6.4 meters
