Answer:
The answer is A.
Step-by-step explanation:
Count how many points are from 0 to 1.
In this problem, there are 8.
Next, we see how far the dot is away from zero.
The dot is on the second line from zero. Two would be your numerator, and 8 would be the denominator.
Therefore, your answer is A.
Answer:
See the answers below
Step-by-step explanation:
Nine
The first step is to find the common difference. That's found by using
<em><u>Common Difference</u></em>
t4 - t3
t4 = - 15
t3 = - 19
t4 - t3 = -15 - - 19
t4 - t3 = -15 + 19
t4 - t3 = 4
t1 = - 27 which is the first term.
<em><u>Explicit formula</u></em>
tn = a + (n - 1)*d
tn = - 27 + (n - 1)*4
t5 = -27 + (5 - 1)*4
t5 = -27 + 4*4
t5 = - 11
<em><u>Recursive</u></em>
tn = tn - 1 + 4
Ten
<em><u>Common difference</u></em>
t4 - t3
21 - 15
Common difference = 6
t2 = 33 - 6
t2 = 27
<em><u>Explicit formula</u></em>
tn = a + (n - 1)*d
tn = 33 + (n - 1)*6
<em><u>Recursive Formula</u></em>
tn = tn-1 + 6
There are too many answers between the 2 questions that the exact format can be followed and have it make sense. You are better off following each question and writing down the answers as you come to them.
Answer:
Step-by-step explanation:
Simple interest rate = 1000(1+11x4) = 4500
= 4500-1000=3500
Comppound interest rate = 100%+10%=110%/100%=1.1%
1000X(1.1)^4=1464.10
Answer:
B
Step-by-step explanation:
B-X=A
or
B-A=X
or
X=B-A
![X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right]](https://tex.z-dn.net/?f=X%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%26-1%266%5C%5C4%261%262%5C%5C0%26-3%262%5Cend%7Barray%7D%5Cright%5D%20-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26-2%263%5C%5C4%268%26-6%5C%5C0%261%265%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%2B1%26-1%2B2%266-3%5C%5C4-4%261-8%262%2B6%5C%5C0-0%26-3-1%262-5%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%261%263%5C%5C0%26-7%268%5C%5C0%26-4%26-3%5Cend%7Barray%7D%5Cright%5D)
This is a lot of calculation.
So we know that the sum of angles for any heptagon is 900, because heptagon can be divided into five non-overlapping triangles and sum of angles of each triangle is 180.
Now you just add up all angles and simplify the equation:
900 = (6x - 8) + 120 + (7x - 64) + (5x - 4) + 135 + (3x + 31) + (4x + 15)
900 = <span>25x + 225
Now it's just regular algebra equation. You can solve for x:
675 = 25x
x = </span>27
So the value of x is 27
