The answer is 216.
https://photomath.net/s/YLLqQX
Angles XQL and MQR are congruent because they are vertical angles. So
209 - 13 <em>b</em> = 146 - 4 <em>b</em>
Solve for <em>b</em> :
209 - 13 <em>b</em> = 146 - 4 <em>b</em>
209 - 146 = 13 <em>b</em> - 4<em> b</em>
63 = 9 <em>b</em>
<em>b</em> = 63/9 = 7
Then the measure of angle XQL is
(209 - 13*7)º = 118º
Answer: the service charge per hour for premium services is $5.5
the service charge per hour for regular services is $3
Step-by-step explanation:
Let x represent the service charge per hour for premium services.
Let y represent the service charge per hour for regular services.
One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that
2x + 9y = 38- - - - - - - - - - - 1
Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that
3x + 6y = 34.5- - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 27y = 114
6x + 12y = 69
Subtracting, it becomes
15y = 45
y = 45/15
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 9 × 3 = 38
2x + 27 = 38
2x = 38 - 27 = 11
x = 11/2 = 5.5
Based on the types of compounding and the interest rates, the following are true:
- Part A - The group will have $750
- Part B - The group will have $759.19
When using simple interest, the amount the group will have is:
<em>= Amount x ( 1 + rate x number of years )</em>
= 600 x ( 1 + 5% x 5)
= $750
When using compound interest, the group will have:
<em>= Amount x ( 1 + rate) ^ Number of years</em>
= 600 x ( 1 + 4%)⁶
= $759.19
In conclusion, compound interest yields more.
<em>Find out more about </em><em>compound interest </em><em>at brainly.com/question/25263325. </em>
