Its just a matter of subbing
-7x - 4y = 6....subbing in (-2,2)...x = -2 and y = 2
-7(-2) - 4(2) = 6
14 - 8 = 6
6 = 6 (correct)
so ur solution is (-2,2)
Volume of a cylinder = πr²h
1256 = (3.14) x (r)² x (13)
1256 = 40.82r²
r² = 1256 ÷ 40.82
r² = 30.769
r = √30.69
r = 5.547
Diameter = Radius x 2
Diameter = 5.547 x 2
Diameter = 11.09 units (nearest hundredth)
Answer:
<em>$7,196.42 </em>
Step-by-step explanation:
Using the compound interest formula to fins the amount after 10years;
A = P(1+r)^n
Principal P = $400,000
Rate r = 8% = 0.08
Time t = 10 years
Substitute
A = 400,000(1+0.08)^10
A = 400,000(1.08)^10
A = 400,000(2.1589)
A = 863,569.99
A ≈ 863,570
Hence the amount after 10 years is $863,570
Monthly deposit = $863,570/120 (10 years is equivalent to 120months)
Monthly deposit = 7,196.42
<em>Therefore he will have to deposit $7,196.42 into his account monthly</em>
The factors of 48 are 1,2,3,4,6,8,12,16,24, and 48. Take factors of 4, and see which of them are not on that list.
Answer:
Step-by-step explanation:
I learned this easy way to complete the sqare in the fastest way possible
First you want to get it to x^2. So the first thing you would do is divide the entire equation by 2 to get 2(x^2 -5/2x +3/2). then you do one half of b or in this case -5/2. That would make -5/4. you would put this into the factor.
2( x -5/4 + ) ( x -5/4 - )
Then you square that number (-5/4)
That makes 25/16. you take that number and subtract the last number or the constant, c to make 1/16. now to finish it up you square root that number. the squre root of 1/16 is 1/4. then you put that into the last part of the factor.
2( x -5/4 + 1/4) ( x -5/4 - 1/4)
Then you simplify
(x-1) 2(x-3/2)
(x-1) (2x-3)
now to make sure I am correct, I will re-multiply it out
2x^2 -5x + 3
