For this case we have that if Molly spent all the spool ribbon with 12 people, then "r" would be given by the product of 12 for the amount of ribbon that each person received, that is:
![r = 12 * 3\\r = 36 \ft](https://tex.z-dn.net/?f=r%20%3D%2012%20%2A%203%5C%5Cr%20%3D%2036%20%5Cft)
Thus, the spool initially had 36 feet of ribbon.
If Molly also keeps 3 feet of ribbon, then the value of "r" is given by:
![r = 13 * 3\\r = 39 \ ft](https://tex.z-dn.net/?f=r%20%3D%2013%20%2A%203%5C%5Cr%20%3D%2039%20%5C%20ft)
In this case, the ribbon spool initially had 39 feet of ribbon.
Answer:
shared between 12 people
shared between 12 people and Molly
900 x² + 500 x= 1600 /:100
9 x² + 5 x = 16
9 x² + 5 x - 16 = 0
x 1/2 =
![\frac{-5\pm \sqrt{5^{2}-4*9*16 } }{18} = \frac{-5\pm \sqrt{25+576} }{18}= \\ = \frac{-5+24.52}{18}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-5%5Cpm%20%5Csqrt%7B5%5E%7B2%7D-4%2A9%2A16%20%7D%20%7D%7B18%7D%20%3D%20%20%5Cfrac%7B-5%5Cpm%20%5Csqrt%7B25%2B576%7D%20%7D%7B18%7D%3D%20%5C%5C%20%3D%20%5Cfrac%7B-5%2B24.52%7D%7B18%7D%20%20)
x = 1.084
The interest rate:
r = x - 1 = 1.084 - 1 =
0.084 = 8.4 %Answer: D) 8.4 %
Her insurance premiums are 150 per month.....there is 12 months in a year....so in 1 year, her premiums totaled : (150 * 12) = 1800
she paid a $ 500 deductible
she paid 20% of $ 3000 for the accident..
0.20 * 3000 = $ 600
therefore, her total healthcare expenses for 1 yr totaled :
1800 + 500 + 600 = $ 2900 <==
Answer is in the file below
tinyurl.com/wpazsebu