Answer:
sinple interest= principle*rate*time/100
SI= 2400*3*1.5/100
SI= 108
AMOUNT= SI + PRICIOLE 
AMOUNT= 108+2400
AMOUNT= 2508
{ I converted 18 months to 1.5 years}
 
        
             
        
        
        
Answer:
y=1/8(-x^2+4x+44
Step-by-step explanation:
In this question the given focus is (2,4) and a directrix of y = 8 and we have to derive the equation of the parabola.
Let (x,y) is a point on the given parabola.Then the distance between the point (x,y) to (2,4) and the distance from (x,y) to diractrix will be same.
Distance between (x,y) and (2,4)
= √(x-2)²+(y-4)²
And the distance between (x,y) and directrix y=8
= (y-8)
Now √(x-2)²+(y-4)² = (y-8)
(x-2)²+(y-4)² = (y-8)²
x²+4-4x+y²+16-8y = y²+64-16y
x²+20+y²-4x-8y = y²-16y+64
x²+20-4x-8y+16y-64=0
x²+8y-4x-44 = 0
8y = -x²+4x+44
 
        
                    
             
        
        
        
First make it a fraction, then divide numerator by denominator
        
                    
             
        
        
        
Area of the square + area of 4 semicircles.
use s² to find the area of the square. s=8
s²=18²=324
use πr²/2
=(3.14 x 324)/2
= <span>508.9
4 semi circles right, 
4 x </span><span>508.9
=</span><span>2035.8
total area = </span><span>2035.8 + 324 
= </span><span>2359.8 ft</span>²<span>
</span>
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
To answer this question, first we need to figure out how much of the board Rafi cut off.
To do this, we need to multiply the length of each piece by the number of pieces he cut off.
3 7/8 = 3.875
3.875 * 3 = 11.625
Now, because we knew Rafi cut off 11.625 feet off of the board, we just need to subtract this length from the length of the entire board to find the remaining length.
15 1/2 = 15.5
15.5 - 11.625 = 3.875
There is 3.875 feet or 3 7/8 of the board left.