Suppose the number is x, its reciprocal is 1/x
x+1/x=13/6
(x^2+1)/x=13/6
6(x^2+1)=13x
6x^2-13x+6=0
(3x-2)(2x-3)=0
x=2/3 or x=3/2
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: x = 12
Step-By-Step: 180 - 100 = 80
Step-By-Step: 80 - 12 = 68
Step-By-Step: 68 is angle ( X + 12)
68 + 12 = 80 + 100 equals 180
Answer:
3 multiply by 6 multiply by 5
= 90 cm²