X = - 1/3 or an alternate form x = -0.3, x = -3 to the power of -1
Answer:
1. First choice, 1/2
2. First choice, 1/2
Step-by-step explanation:
3 odd numbers on a dice, so 3/6 = 1/2
12 numbers, 1- 12, the even numbers are 2, 4, 6, 8, 1-, and 12. 6 out of 12 = 6/12 = 1/2
Answer:
$100 * (1 + 6.8%/12)^216 + $100*(1+6.8%/12)^215 + ... + $100*(1+6.8%/12)^1
Now note that
x + x^2 + x^3 + ... + x^N = x ( 1 + x + ... + x^(N-1) )
= x ( (x^N -1)/(x-1) )
Here, x = 1+6.8%1 = 1.00566666 and N = 216, so
$100 * ( 1.00566666 ( 1.00566666^216 -1) / 0.00566666 )
= $ 42398.33
The total interest earned is $42,398 - $21,600 = $20,798
Step-by-step explanation:
The generic formula used in this compound interest calculator is V = P(1+r/n)^(nt)
V = the future value of the investment
P = the principal investment amount
r = the annual interest rate
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
Let us try A
If we put x = -3 , then y= 27-36+3+1=-5 , thus it us not the polynomial of given points
Now moving onto B
If x = -3, then y =-81-27+36-3-1=76
If x= -1 , then y=-1-1+4-1-1=0
If x =0, then y=-0-0+0-0-1=-1
If x =1, then y= -1+1+4+1-1=4
Thus it is also not the polynomial with given point.
Now onto c
x= -3 , y=81+27-36+3+1=76
x=0, y = 0+0+0+0+1=1
x= -1 , y = 1+1-4+1+1=0
x=1 , y= 1-1-4-1+1=-4
x=2, y=16-8-16-2+1=-9
Hence C is the polynomial of given points
We are given this inequality,
We will follow these steps to solve it:
Step 1:
First let us bring 10 to the left side.
10 is in addition on right, so we apply opposite operation of addition that is subtracting 10 from left side, we get
Step 2:
Next we have to eliminate -4 which is in multiplication with x on the right side.
So applying opposite operation of multiplication that is dividing both sides by -4.
We have to consider here that when we divide or multiply with a negative the sign of inequality reverses, that is ≥ becomes ≤ and vice versa.
x≥4
Answer is last option x≥4.
