Given:
To find:
The value of 
.
Solution:
We know that,
It means, we have 
and we need to find the value of 
.
Therefore, the value of is 0.8.
The number of hours spent lifeguarding and clearing tables is 5.4 hours and 8.6 hours respectively
<h3>Solving inequality equation</h3>
- x = number of hours lifeguarding
- y = number of hours clearing tables
x + y ≤ 14 (1)
19x + 9y ≤ 180 (2)
From (1)
x = 14 - y
substitute into (2)
19x + 9y ≤ 180
19(14 - y) + 9y ≤ 180
266 - 19y + 9y ≤ 180
- 19y + 9y ≤ 180 - 266
- 10y ≤ -86
y ≤ -86 / -10
y ≤ 8.6 hours
x + y ≤ 14
x + 8.6 ≤ 14
x ≤ 14 - 8.6
x ≤ 5.4 hours
Learn more about inequality equation:
brainly.com/question/11234618
Answer:
36, 45
Step-by-step explanation:
Using equations you get 
because one number is 9 more than the other and the sum is 81. Simplifying you get, 
. Divide both sides by 2 to get 
. Remember this is only x so to get the other number you have to add 9 to 36 to get 45 as the other number.
Answer:
The balance of the account is $1335.6
Step-by-step explanation:
To find the new balance of the account after 212 years, we use simple interest formula to calculate that.
Principal = 450
Rate = 0.35% quarterly = (0.35*4) annually = 1.4% = 1.4 / 100 = 0.014
Reason why the rate was converted from quarterly to annually is because simple interest are calculated annually
T = 212 years
Simple Interest (S.I) = ?
S.I = PRT
S.I = 450 * 0.014 * 212
S.I = $1335.6
The balance of the account after 212 years is $1335.6
