Answer:
Step-by-step explanation:
A $10,000 deposit at the bank will double in value in 9 years.
If the interest is r% and it is compounded each year, then we can write from the formula of compound interest that
⇒ 
⇒ 
⇒ r = 8%
Therefore, the formula for the accumulated amount t years after the investment is made will be
where, P is the invested principal and S is the accumulated sum. (Answer)
Answer:
C. Commutative property of addition
Using trigonometry (SOHCAHTOA), <WZX is our main angle that we will be using. Our H or hypotenuse is the ZX or 7 because it is longest side in the triangle XZW, the A or adjacent is ZW or X. Then you set up your equation using the CAH of SOHCAHTOA and solve. To find WX, you use the same H or hypotenuse is the ZX or 7 because it is longest side in the triangle XZW and the O or opposite is WX which is your X. For setting up your equation you use the SOH of SOHCAHTOA and solve. You then double each of your measurements you got for ZW and WX and add them together to get your perimeter. Good luck! Let me know if you still need help!
Answer:
Line :-
A line is defined as a line of points that extends infinitely in two directions. It has one dimension, length. Points that are on the same line are called collinear points.
Line segments :-
A straight line which links two points without extending beyond them. The points P and Q are called the 'endpoints' of the segment. ... The word 'segment' typically means 'a piece' of something, and here it means the piece of a full line, which would normally extend to infinity in both directions.
Ray :-
A part of a line with a start point but no end point (it goes to infinity) Try moving points "A" and "B": line.
Complementary Angles :-
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Examples: ... 5° and 85° are complementary angles.
Supplementary Angles:-
Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees. Examples: • 60° and 120° are supplementary angles.
Adjacent Angles :-
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. Angle ABC is adjacent to angle CBD. Because: they have a common side (line CB).
Linear Pair :-
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Transversal lines :-
In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two other lines in the Euclidean plane are parallel.
Corresponding angles :-
Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Step-by-step explanation:
Answer:
=x⁴−x³−14x²
Step-by-step explanation:
<h3>Let's simplify step-by-step.</h3>
x²(3x²+5x−4)−2x²(x²+3x+5)
<h3>Distribute:</h3>
=(x²)(3x²)+(x²)(5x)+(x²)(−4)+−2x⁴+−6x³+−10x²
=3x⁴+5x³+−4x²+−2x⁴+−6x³+−10x²
<h3>Combine Like Terms:</h3>
=3x⁴+5x³+−4x²+−2x⁴+−6x³+−10x²
=(3x⁴+−2x⁴)+(5x³+−6x³)+(−4x²+−10x²)
=x⁴+−x³+−14x²
<h3>ANS-</h3>
=x⁴−x³−14x²
