Answer:
$21.17
Step-by-step explanation:
Simple Interest=P(1+r)^t
Compounded Interest=P(e^rt)
SI=668*(1.0925)^5
SI=1039.64
CI=668(e^(0.0925*5))
CI=1060.81
1060.81-1039.64=21.17
So the difference is $21.17, thus doing compounded interest is better.
One extensive property of marker ink is volume, whereas one intensive property of marker ink is color.
Let's consider that number to be 'x'..
So, twice the number (2x) is 12 greater than than the half of the number.
So the equation will be like,
2x=12+x/2
Solving this further,
2x=(24+x)/2
=> 4x=24+x
=>4x-x=24
=>3x=24
=>x=8..
So the number is "8".
<h3>
Answer: Choice C</h3>
Explanation:
The x intercepts or roots are x = 3 and x = 5, which lead to the factors x-3 and x-5 respectively.
Multiplying out those factors gets us this:
(x-3)(x-5)
x(x-5)-3(x-5)
x^2-5x-3x+15
x^2-8x+15
Trinomial 2x² + 4x + 4.
It's of the form ax²+bx+c and it's discriminant is Δ=b² - 4.a.c
(in our case Δ = 4² - (4)(2)(4) → Δ = - 32
We know that: x' = -1 + i and x" = -1 - i
If Δ > 0 we have 2 rational solutions x' and x"
If Δ = 0 we have1 rational solution x' = x"
If Δ < 0 we have 2 complex solutions x' and x", that are conjugate
In our example we have Δ = - 16 then <0 so we have 2 complex solutions
That are x'= [-b+√Δ]/2.a and x" = [-b-√Δ]/2.a
x' =
