Answer:
(A+B)(A+B)=A.A+B.A+A.B+B.B
Step-by-step explanation:
Given that matrices A and B are nxn matrices
We need to find (A+B)(A+B)
For understanding the multiplication of matrices let'take A is mxn and B is pxq matrices,we can multiple only when n=p,so our Ab matrices will be mxq.
We know that that in matrices AB is not equal to BA.
Now find
(A+B)(A+B)=A.A+B.A+A.B+B.B
So from we can say that (A+B)(A+B) is not equal to A.A+2B.A+B.B because AB is not equal to BA in matrices.
So (A+B)(A+B)=A.A+B.A+A.B+B.B
All of them are wrong except for the third one
Answer:
The account balance after 24 months will be $23,092.70
Step-by-step explanation:
Given data
P= $20,000
r= 7.77%= 0.077
t= 2 years
A= ?
n= 24
The compound interest formula is
![A= P(1+t)^t](https://tex.z-dn.net/?f=A%3D%20P%281%2Bt%29%5Et)
Inserting our values to solve for A we have
![A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70](https://tex.z-dn.net/?f=A%3D%2020000%281%2B%5Cfrac%7B0.077%7D%7B24%7D%20%29%5E2%5E%2A%5E2%5E4%5C%5C%5C%5CA%3D%2020000%281%2B0.003%20%29%5E2%5E%2A%5E2%5E4%5C%5C%5C%5CA%3D%2020000%281.003%20%29%5E2%5E%2A%5E2%5E4%5C%5C%5CA%3D%2020000%281.003%20%29%5E4%5E8%5C%5C%5CA%3D%2020000%2A1.15463517818%5C%5C%5CA%3D%2023092.7035636%5C%5C%5CA%3D%2023%2C092.70)
-- The smallest 6-digit whole number is 100,000 .
-- The largest 4-digit whole number is 9,999 .
-- The difference is (100,000 - 9,999) = 90,001 .
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