Jillian wants to plan a Disney vacation for her family of five. She has been saving since before her little boy arrived by taking money and putting it into her savings account. She started out with an initial amount of money at cx) = 102 and now that he is here she’s able to start her new sewing business again to add to it. When she is working for her craft business she earns p(x) = 8(x+2) with x representing how many hours she works. Show how you can combine these functions to represent the total savings account with her recent deposits for her craft work. Use complete sentences and show the math to simplify the function mathematically to receive full points. Thanks in advance for any help I can get !!

£1616              Factor = 8(x+2) x 5(10 + 13) = 1616  

Jillian has already worked 102 hrs.

Step-by-step explanation:

We Factor

8(x+2) x5(10+13)=1616

( 10x ) (115)=1616

We discard the brackets

10x x 115=1616

We reverse the sum to find x

10x  = 1606 -115

= 1591

10x=1591

x=159.1  

This is 100 hrs physically worked. She worked as 59.1 remainder accounts for holiday pay at full rate 1/12 of first month and sickness pay. Lets say Jillian was paid tax relief back as part of the sum as 15% =0.15 one month so that 0.15 x 159.1 =23.865 so 159.1 - 23..86 = 135 and 1/12 of 135 = (1/12) x 135 =11.25 then 135-11.25 = 123.75  and sickness pay of £23.75 in the first month. If 23.75 balance was 1/2 pay, then Jillian also found an inequality as she also also decreased opportunity to earn £23.75 by not working one of the mornings, she also was limited with 5 children to care for and a holiday to plan.

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