Answer:
5. 43 / 6
6. 8.027778
2. -0.167
4. 1.5
Step-by-step explanation:
5. Conversion a mixed number to a improper fraction: 9 2/3 = 9 · 3 + 2 /3 = 29/3
Conversion a mixed number to a improper fraction: 2 1/2 = 2 · 2 + 1 /2 = 5/2
Subtract: 29/3 - 5/2 = 29 · 2 / 3 · 2 - 5 · 3 / 2 · 3 = 58 / 6 - 15 / 6 = 58 - 15 / 6 = 43 / 6
6. 2 4/9 + 5 7/12 = 289 / 36 = 81 / 36 = 8.027778
2. 3/4 - 11/12 = -1 / 6 =-0.1666667
4. 1 9/10 - 2/5 = 3 / 2 = 11 / 2 = 1.5
Exponential eqation solution
This is a growth exponential equation.
It can be solved 2 ways, but one of them is long and cumbersome and not worth the effort. You could take 2% of the base number and keep doing it 8 times.
The other way is to realize that 100$ + 2% of 100 dollars can be written as 2% = 2/100 = 0.02 and that can be written as
100( 1 + 0.02 ) = 100(1.02) Now if you want this to be raised 8 times, it will look like this
y = 100(1.02)^(n - 1) for any number of weeks
y(8) = 100(1.02)^7 = 114.87
So at week 1 she has 100 dollars and at week 8 she has 114.87 dollars.
CommentRealize that if her boss does not want to give her compounded interest that she could still make
Ln = L

= 100 + (n - 1)*0.02*100
L

= 100 + 7*0.02*100 = 100 + 14. = 114
By compounding she makes a whole 0.87$ more.
Answer:
I think the answer would be 120 cm3 .