Answer: 371697
Step-by-step explanation:
For continuously compounded values, we use the formula Pe^rt, or Pert. P is our principal/initial value, 230000. e is the constant e, r is our rate, 4% or .04, t is our time, 12. So, 230000*e^(.04*12)=371697.112504, rounding down, 371697.
Answers:
- x = 3
- CD = 21
- DE = 16
- CE = 21
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Explanation:
The congruent base angles are D and E. Opposite those angles are the sides CE and CD. These opposite sides are the same length.
CE = CD
16x-27 = 4x+9
16x-4x = 9+27
12x = 36
x = 36/12
x = 3
This x value then leads to the following:
- CD = 4x+9 = 4*3+9 = 12+9 = 21
- DE = 7x-5 = 7*3-5 = 21-5 = 16
- CE = 16x-27 = 16*3-27 = 48-27 = 21
We see that CD and CE are both 21 units long, which helps confirm we have the correct x value.
Answer:
5260000
Step-by-step explanation:
Answer:
4y + 3
Step-by-step explanation:
All we can do here is to simplify the given expression; this is not an equation and thus has no solution.
5y - y is 4y, so
5y - y + 3 = 4y + 3
Answer:
Tangent line states that a line in the plane of a circle that intersect the circle in exactly one point.
Common external tangent states that a common tangent that does not intersects the line segment joining the centers of circle.
Common internal tangent states that a common tangent that intersects the line segment joining the centers of circle.
Circumscribe polygon states that a polygon with all sides tangent to a circle contained within the polygon.
Therefore:
A polygon with all sides tangent to a circle contained within the polygon = Circumscribe polygon
A common tangent that intersects the line segment joining the centers of circle = Common internal tangent
A common tangent that does not intersects the line segment joining the centers of circle = Common external tangent
a line in the plane of a circle that intersect the circle in exactly one point = Tangent line