Answer:
D
Step-by-step explanation:
Start by writing out w in terms of x. After one year, there is 1.08*x dollars in the account. x dollars are then deposited, giving us a total of 1.08*x + x (normally we would simplify this to 2.08 but looking at the answers this is not a good idea.) Next, multiply by 1.08 to account for the 2nd year's interest. This brings to total to w = 1.08(1.08*x + x) = (1.08^2)*x + 1.08*x. Factoring out x, we are left with w = (1.08^2 + 1.08) * x. Dividing both sides by (1.08^2 + 1.08), we are left with x = w/(1.08^2 + 1.08) so the answer is d.
Answer:
Thus the last row has 119 seats.
The total number of seats in 24 rows = 1476
Step-by-step explanation:
The number of seats in each row make an arithmetic series. We will use arithmetic equation to find the number of seats in last row:
An = a1+ (n-1)d
An = 4+(24-1)5
An = 4 + (23)(5)
An = 4 + 115
An = 119
Thus the last row has 119 seats.
Now to find the sum of seats we will apply the formula:
Sn = n(a1 + an)/2
Sn = 24(4+119)/2
Sn = 24(123) /2
Sn = 1476 .....
The total number of seats in 24 rows = 1476....
We can plot this data on MS Excel and determine the distribution of these data reflected on the graph. Among these numbers, 50 is the outlier since it is very far from the other numbers ranging from 76 to 83. We can perform interquartile range to determine or verify the outliers in the data set. In this respect, we can see that there is not much distribution seen. The average of all data sets is equal to 96.25. When the outlier (50) is removed, we expect the mean to become higher since a low number was ommitted including high numbers only. Outliers are obtained from special causations such as human errors.
Answer: 48
Step-by-step explanation: To find the range of the data set shown here, remember that the range is the difference between the greatest number in the data set and the least number in the data set.
<em>Greatest number</em> → 64
<em>Least number → </em>16
Now, we need to subtract 16 from 64.
64 - 16 = 48
Therefore, the range of the data set is 48.
