The first has value 2500*(1+.05*9)=3625. The second, similarly, has value 4160, and the third, 3400. Thus, the order, from least to greatest, is third, first, second.
Given:
Consider the expression is
To find:
The simplified form of the given expression.
Solution:
We have,
Using the properties of exponents, we get
![\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5Cright%5D)
Therefore, the simplified form of the given expression is 
.
We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.
We will use sum of geometric sequence formula to solve our given problem.
, where,
a = First term of sequence,
r = Common ratio,
n = Number of terms.
For our given problem 
, 
and 
.
Therefore, the ball will travel 100 meters and option B is the correct choice.
There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.
Let's translate the question.
Solution to the system
That's the x and y values where the two lines cross. That's because the meeting point is the value of x and y that satisfies both equations.
Approximation ... to the nearest integer values
Where two integer grid lines cross is called a lattice point. It's a point with integer coordinates. Our solution, the meet of these two lines, doesn't fall exactly on a lattice point. The nearest integer values means the closest lattice point to our intersection of lines.
Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.
Answer: (2,3) second choice
Answer:
4.8 points/minute
Step-by-step explanation:
Just divide total point over total minutes.
