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= ![\frac{250,000}{(1+\frac{0.04}{12})^{12*15} }](https://tex.z-dn.net/?f=%5Cfrac%7B250%2C000%7D%7B%281%2B%5Cfrac%7B0.04%7D%7B12%7D%29%5E%7B12%2A15%7D%20%7D)
P=137339.8761 = $137,339.88
We have to write
![2^2 =4](https://tex.z-dn.net/?f=%202%5E2%20%3D4%20)
In log form
To convert exponential equation to log equation, we have to use the following rule![If \ a^b = c, \ then \ b=log_{a} c](https://tex.z-dn.net/?f=%20If%20%5C%20a%5Eb%20%3D%20c%2C%20%5C%20then%20%5C%20b%3Dlog_%7Ba%7D%20c%20)
So we will get
![If \ 2^2 =4, \ then \ 2 = log_{2} 4](https://tex.z-dn.net/?f=%20If%20%5C%202%5E2%20%3D4%2C%20%5C%20then%20%5C%202%20%3D%20log_%7B2%7D%204%20)
or
![log_{2}4=2](https://tex.z-dn.net/?f=%20log_%7B2%7D4%3D2%20)
And that's the required log form .