Answer:
First quartile = 3.5
Third quartile = 6.5
Step-by-step explanation:
Sales for last 20 hours :
3, 4, 5, 5, 6, 7
Using the data given :
The first quartile, Q1 ;
Q1 = 1/4(n+1)th term
n = 6
Q1 = 1/4(6 + 1)th term
Q1 = 7/4 = 1.75 th term
(3 + 4) / 2 = 7/2 = 3.5
The third quartile, Q3:
Q3 = 3/4(n+1)th term
n = 6
Q3 = 3/4(6 + 1)th term
Q3 = 21/4 = 5.25th term
(5th + 6th) term / 2
(6 + 7) / 2 = 13/2 = 6.5
Answer:
Sydney is 52 years old, and Tristan is 30.
Step-by-step explanation:
Represent Tristan's age by t and Sydney's by s.
Then s - 8 = 2(t - 8), and t = s - 22
Substituting s - 22 in the first equation, we get:
s - 8 = 2(s - 22 - 8), or
s - 8 = 2s - 60
Solving for s: -2s + s = -60 + 8, or -s = -52.
Sydney is 52 years old, and Tristan is 30.
Answer:
The first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.
Step-by-step explanation:
Since Clara made two investments, and Investment A has an initial value of $ 500 and increases by $ 45 every year, while Investment B has an initial value of $ 300 and increases by 10% every year, and Clara checks the value of her investments once to year, at the end of the year, to determine what is the first year in which Clara sees that Investment B's value has exceeded investment A's value, the following calculation must be performed:
500 + (45 x X) = A
300 x 1.1 ^ X = B
A = 500 + 45 x 5 = 500 + 225 = 725
B = 300 x 1.1 ^ 5 = 483.15
A = 500 + 45 x 10 = 950
B = 300 x 1.1 ^ 10 = 778.12
A = 500 + 45 x 15 = 1175
B = 300 x 1.1 ^ 15 = 1253.17
A = 500 + 45 x 14 = 1,130
B = 300 x 1.1 ^ 14 = 1,139.25
Therefore, the first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.
Answer:
40.9% or 41%
Step-by-step explanation:
Subtract 324 from 549, which gets you 225. Then calculate what percent 225 is from 549, which is 40.9%.
