What is the simple interest on $4,000 for 2 and a half years at 4 percent a year?
1 answer:
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Answer:
x = ± , x = ± i
Step-by-step explanation:
f(x) = - x² - 2
to find the zeros , equate f(x) to zero , that is
- x² - 2 = 0
using the substitution u = x² , then
u² - u - 2 = 0 ← in standard form
(u - 2)(u + 1) = 0 ← in factored form
equate each factor to zero and solve for u
u - 2 = 0 ⇒ u = 2
u + 1 = 0 ⇒ u = - 1
convert u back into terms of x
x² = 2 ( take square root of both sides )
x = ±
x² = - 1 ( take square root of both sides )
x = ± = ± i
Answer:
Option A
x=6 , y=9
Step-by-step explanation:
As we can see in the figure that point T is the mid point of rectangle and there are two diagonals QS and PR
So in basic geometry we know that the length of the diagonal from the mid point i.e. Taking the diagonal QS the length of QT and TS would be equal because they are same diagonal which is cut into two parts by point T
Similarly the Length of RT and the length of TP would be same
From all this we deduct that
3x = 2y ..................(i)
and
y + 3 = 2x ................(ii)
From equation (i)
3x = 2y
Dividing both sides by 3 the equation becomes
x= ....................(iii)
Putting this value in equation (ii)
y + 3 = 2()
y+3 =
multiplying both sides by 3
3(y+3)=
the equation becomes
3y+9=4y
subtracting 3y from both sides
3y-3y+9=4y-3y
y=9
Putting the value of y in equation (iii)
x=
solving it
x=
x=6
so x=6 and y=9 is answer which is option A