F(1+i) = (1+i)^4 -2(1+i)^3 -(1+i)^2 +6(1+i) - 6;
But, (1+i)^2 = 1^2 + 2*1*i + i^2 = 1 + 2i - 1 = 2i; because i^2 = -1;
(1+i)^4 = [(1+i)^2]^2 = (2i)^2 = 4*i^2 = -4;
(1+i)^3 =(1+i)^2 * (1+i) = 2i * ( 1 + i ) = 2i + 2i^2 = 2i - 2 ;
Then, f(1+i)= -4 - 2( 2i - 2 ) - 2i + 6( 1 + i ) - 6 = - 4 + 4i + 4 + 6 + 6i - 6 = 10i which isn't 0 ;
Finally, 1+i isn't zero of f(x);
9 feet
3 times 2 is equal to 6
6 puls 3 is equal to 9
So it is 9 feet will be the total height of the boxes and table combined
Answer:
$137,339.88
Step-by-step explanation:
Here is the equation for compound interest: A=P(1+(r/n))^nt
where A=amount of money, P=principal, r= rate in decimal, n=number of times compounded per t, and t=time
In this case:
A=$250,000
P= ?
r= 0.04
n= 12 month/yr
t= 15 yrs
You can manipulate the equation to solve for P:
P=A/[(1+(r/n))^nt]
Plug in variables then solve:
P=
P=137339.8761 = $137,339.88
We have to write
In log form
To convert exponential equation to log equation, we have to use the following rule
So we will get
or
And that's the required log form .