The last one , because I will now solve it for you and prove therefore.
x²–4x+5=0;
D=(–4)²–4•5=16–20= –4= (2i)².
So:
x1= (4–2i)/2= 2–i
x2= (4+2i)2= 2+i.
This is the whole answer....
Three other u will solve by yourself and have roots which will not be suitable.
Set the to equal:
x^2 - 4x+4 = 2x-4
solve for X
subtract 2x from each side:
x^2 -6x + 4 = -4
subtract 4 from each side:
x^2 -6x = -8
add 8 to both sides:
x^2 -6x +8 = 0
factor the polynomial:
x = 4 and x = 2
using the line equation replace x with 2 and 4 and solve for y
y = 2(2) - 4 = 0
y = 2(4)-4 = 4
so the 2 points the line crosses the curve is (2,0) and (4,4)
using those 2 points you can calculate the length:
distance = sqrt((x2-x1)^2 +(y2-y1)^2
distance = sqrt( (4-2)^2 + (4-0)^2)
distance = sqrt (2^2 + 4^2)
distance = sqrt (4+16)
= sqrt 20
= 2 sqrt(5) EXACT LENGTH
Two divided by a number yields fourteen would be represented by the equation 2/y=14, and that is not right. So, the answer would be the third answer choice
You can use the formula ...
... (percent change) = ((new amount) - (original amount))/(original amount) × 100%
Filling in the given information, this tells you ...
... (percent change) = ($21 -$28)/($28) × 100%
... = (-7/28) × 100%
... (percent change) = -25%
A negative percent change is a decrease, so the change in price is a ...
... 25% decrease
Answer:
Step-by-step explanation:
Amount = Rs 8820
Compound Interest = Rs 820.
Step-by-step explanation:
We have to find the amount and the compound interest on Rs. 8000 at 5% per annum for 2 years compounded annually.
Let the Principal sum of money = P
Rate of Interest = R
Time Period = T
Amount of money = A
As we know that Amount formula for compounded annually is given by;
Amount =
Or
Now, we are given with P = Rs 8000 , R = 5% p.a. and T = 2 years; we have to find the amount,i.e;
A =
A =
A = Rs 8820
That means Amount = Rs 8820
Also, Compound Interest formula is given by;
Amount = Principal + Compound Interest
Compound Interest = Amount - Principal
= Rs (8820 - 8000)
= Rs 820
Therefore, amount and the compound interest on Rs 8000 at 5% per annum for 2 years compounded annually are Rs 8820 and Rs 820 respectively.
