We know that, Amount in Compound interest is given by :

Given : Principal = $2000
Given : Annual yield is 5% and the interest is compounded quarterly
It means : Interest is compounded 4 times in a year


Substituting all the values in the formula, we get :







 
        
             
        
        
        
18/3=6
6x2=12
She can get 12 books from the store
        
             
        
        
        
Answer:
Step-by-step explanation:
<u>Simplify the numerator:</u>
- (2x - y)/(2x + y) + (2x + y)/(3y - 6x) + 8xy/(12x² - 3y²) =
 - (2x - y)/(2x + y) - (2x + y)/3(2x - y) + 8xy/3(2x + y)(2x - y) = 
 - [3(2x - y)² - (2x + y)² + 8xy] / [3(2x + y)(2x - y)] = 
 - [12x² - 12xy + 3y² - 4x² - 4xy - y² + 8xy] / [3(2x + y)(2x - y)] =
 - [8x² - 8xy + 2y²] / [3(2x + y)(2x - y)] =
 - 2{2x - y)² / [3(2x + y)(2x - y)] =
 - 2(2x - y) / [3(2x + y)]
 
<u>Simplify the denominator:</u>
- (4x²y - 2xy²) / (6x + 3y) = 
 - 2xy(2x - y) / [3(2x + y)]
 
<u>Now simplify the remainder of the expression:</u>
- 2(2x - y) / [3(2x + y)] × [3(2x + y)]/[2xy(2x - y}] = 
 - 1/xy
 
 
        
             
        
        
        
The first term of the geometric  sequence is 0.0061
<u>Step-by-step explanation:</u>
The general form of geometric  sequence is a, ar, ar²,ar³,.......
where,
- a is the first term of the sequence.
 - r is the common ratio. Here, the common ratio r = 4.
 - The 8th term of the sequence is 100. Hence n = 8.
 
<u>The formula to find the nth term of the geometric sequence is given by :</u>
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ a = 0.0061
Therefore, the first term of the geometric  sequence is 0.0061
 
        
             
        
        
        
Im not sure i think its D...?