Assuming that I earn 4% of $2,500 per year, I would earn $800 after 8 years.
Answer:
x = 4
Step-by-step explanation:
Solve for x:
12 x - 15 = 3 (2 x + 3)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
12 x - 15 = 6 x + 9
Hint: | Move terms with x to the left hand side.
Subtract 6 x from both sides:
(12 x - 6 x) - 15 = (6 x - 6 x) + 9
Hint: | Combine like terms in 12 x - 6 x.
12 x - 6 x = 6 x:
6 x - 15 = (6 x - 6 x) + 9
Hint: | Look for the difference of two identical terms.
6 x - 6 x = 0:
6 x - 15 = 9
Hint: | Isolate terms with x to the left hand side.
Add 15 to both sides:
6 x + (15 - 15) = 15 + 9
Hint: | Look for the difference of two identical terms.
15 - 15 = 0:
6 x = 9 + 15
Hint: | Evaluate 9 + 15.
9 + 15 = 24:
6 x = 24
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 6 x = 24 by 6:
(6 x)/6 = 24/6
Hint: | Any nonzero number divided by itself is one.
6/6 = 1:
x = 24/6
Hint: | Reduce 24/6 to lowest terms. Start by finding the GCD of 24 and 6.
The gcd of 24 and 6 is 6, so 24/6 = (6×4)/(6×1) = 6/6×4 = 4:
Answer: x = 4
Answer:
A. The next 3 terms are —9, —11, —13
B. The sequence is Arithmetic
C. The sequence has a common difference of —2
Common difference = T2 — T1 or = T3 — T2
=T2 — T1 = —3 —(—1) = —2 or
= T3 — T2 = —5 —(—3) = —2
D. Tn = a + d(n—1)
a = first term = —1
d = Common difference = —2
n = 27
T27 = —1 + —2(27—1)
T27 = —1 + —2(26)
T27 = —1 —52
T27 = —53
Answer:
A: 
B: 
Step-by-step explanation:
<u>A:</u>
Our expression is 
. We need to find some common factors. Clearly, we can see that both terms share the x² part, so we can definitely take that out:
Let's see if 96 is divisible by 6:
96 ÷ 6 = 16; since there's no remainder / the remainder is 0, we know 96 is divisible by 6, so we can also factor out 6:
Thus, the answer to part A is .
<u>B:</u>
Look at the 
part of the above factored expression. Notice that it is a difference of squares (because 
and 16 = 4²), so we can write this as:
Now take a look at the 
part. Again, it's a difference of squares because 
and 4 = 2², so rewrite that as:
Put it all together:
Thus, the answer to part B is .
