This is what I got, hope it helps (I used a calculator for this on Google)
Expanded Notation Form:
5
Expanded Factors Form:
5 ×
1
Expanded Exponential Form:
5 × 100
Answer:
ii
Step-by-step explanation:
i
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.
Answer: 13300
========================================
Work Shown:
A = event that it rains
B = event that it does not rain
P(A) = 0.30
P(B) = 1-P(A) = 1-0.30 = 0.70
Multiply the attendance figures with their corresponding probabilities
- if it rains, then 7000*P(A) = 7000*0.30 = 2100
- if it doesn't rain, then 16000*P(B) = 16000*0.70 = 11200
Add up the results: 2100+11200 = 13300
This is the expected value. This is basically the average based on the probabilities. The average is more tilted toward the higher end of the spectrum (closer to 16000 than it is to 7000) because there is a higher chance that it does not rain.
Given:
Tom's earnings: x
Jan's earnings: 2x - 150
Total earnings: 1380
x + 2x - 150 = 1380
3x = 1380 + 150
3x = 1530
3x/3 = 1530/3
x = 510
Tom's earnings: x = 510
Jan's earnings: 2x - 150 = 2(510) - 150 = 1,020 - 150 = 870
total earnings: 1,380
510 + 870 = 1,380
1,380 = 1,380
