Answer:
C=x+200
the y intercept is 200.
the y intercept represents $200 after 0 phones
The total cost was 116% of the original bill;
Original bill was;
![\frac{100}{116} *26.10](https://tex.z-dn.net/?f=%20%5Cfrac%7B100%7D%7B116%7D%20%2A26.10)
= <span>$22.5</span>
Tanα=h/x, tanß=h/(x+88)
solving both for x
x=h/tanα, x=h/tanß-88, since x=x
h/tanα=h/tanß-88
h/tanß-h/tanα=88
(htanα-htanß)/(tanα*tanß)=88
h(tanα-tanß)/(tanα*tanß)=88
h=88(tanα*tanß)/(tanα-tanß)
Since α=32 and ß=22...
h=88(tan32*tan22)/(tan32-tan22)
h≈85.3 feet
<u>Part a)</u> Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime
Let
E-------> the amount of money earned
x------> number of hours worked
we know that
For ![x\leq35](https://tex.z-dn.net/?f=x%5Cleq35)
![E=14x](https://tex.z-dn.net/?f=E%3D14x)
therefore
<u>the answer part a) is</u>
![E=14x](https://tex.z-dn.net/?f=E%3D14x)
<u>Part b) </u>Create an equation that shows the amount of wages earned, T, for working y hours of overtime
Let
T-------> the amount of money earned
y------> number of hours of overtime
we know that
![T=14*35+20y](https://tex.z-dn.net/?f=T%3D14%2A35%2B20y)
![T=\$490+20y](https://tex.z-dn.net/?f=T%3D%5C%24490%2B20y)
therefore
<u>the answer part b) is</u>
![T=\$490+20y](https://tex.z-dn.net/?f=T%3D%5C%24490%2B20y)
<u>Part c)</u> Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?
we know that
![35\ hours=\$490](https://tex.z-dn.net/?f=35%5C%20hours%3D%5C%24490)
![\$610-\$490=\$120](https://tex.z-dn.net/?f=%5C%24610-%5C%24490%3D%5C%24120)
Divide
by
----> to obtain the hours of overtime
![\frac{120}{20}=6\ hours\ of\ overtime](https://tex.z-dn.net/?f=%5Cfrac%7B120%7D%7B20%7D%3D6%5C%20hours%5C%20of%5C%20overtime)
So
Allison works
![35+6=41\ hours](https://tex.z-dn.net/?f=35%2B6%3D41%5C%20hours)
![Regular=35\ hours\\ Overtime=6\ hours](https://tex.z-dn.net/?f=Regular%3D35%5C%20hours%5C%5C%20Overtime%3D6%5C%20hours)
therefore
<u>the answer part c) is</u>
![Regular=35\ hours\\ Overtime=6\ hours](https://tex.z-dn.net/?f=Regular%3D35%5C%20hours%5C%5C%20Overtime%3D6%5C%20hours)
Answer:
90+3+6/10+5/100
Step-by-step explanation: