Step-by-step explanation:
Given
2a + b = 6......equation 1
a - 6 = b
a = b + 6........equation 2
Putting equation 2 in equation 1
2 ( b + 6 ) + b = 6
2b + 12 + b = 6
3b = 6 - 12
3b = - 6
b = - 6 / 3
Therefore b = - 2
Now
a = - 2 + 6 = 4
hope it will help :)
Answer:
After 11 weeks, Darnell′s savings account will have a total of $8,360.
Step-by-step explanation:
The data provided is as follows:
n: 1 2 3 4
f (n): 260 360 460 560
Consider the data for f (n).
The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.
The nth term of an arithmetic sequence is:
![a_{n}=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=a_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Compute the value of f (11) as follows:
![f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100]](https://tex.z-dn.net/?f=f%2811%29%3D%5Cfrac%7B11%7D%7B2%7D%5B%282%5Ctimes260%29%2B%2811-1%29%5Ctimes%20100%5D)
![=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360](https://tex.z-dn.net/?f=%3D5.5%5Ctimes%5B520%2B1000%5D%5C%5C%5C%5C%3D5.5%5Ctimes%201520%5C%5C%5C%5C%3D8360)
Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.
Answer:
D) Identifies the transaction and is located at the top right corner of the check
Step-by-step explanation:
The check number on a check is the number located at the top right corner of the check, and it can also be found at the bottom of the check, located in lower right corner after the routing number and the account number
The check number aids in the tracking and identifying bank transactions such as to identify checks that the bank has processed and to know outstanding checks that are yet to be processed.
The check number also aids in balancing of the checkbook.
Therefore, the check number on a check identifies the transactions and is located at the top right corner of the check.
C. $360
$224x4=896 (total profit)
$896 (total) - $536 (first month profit) = $360 (second month profit)
Answer:
b. The supplements of congruent angles are congruent
Explanation:
Note that
![\angle TKL](https://tex.z-dn.net/?f=%5Cangle%20TKL)
is a supplement of
![\angle 3](https://tex.z-dn.net/?f=%5Cangle%203)
and
![\angle TLK](https://tex.z-dn.net/?f=%5Cangle%20TLK)
is a supplement of
![\angle 4](https://tex.z-dn.net/?f=%5Cangle%204)
.
Since
![\angle 3 \cong \angle 4](https://tex.z-dn.net/?f=%5Cangle%203%20%5Ccong%20%5Cangle%204)
,
![\angle TKL \cong \angle TLK](https://tex.z-dn.net/?f=%5Cangle%20TKL%20%5Ccong%20%5Cangle%20TLK)
because
the supplement of the congruent angles are congruent.