<u><em>ANSWER</em></u>
I believe that the amount of the instant rebate is $30. X represents the price of the bike, and 0.09 is the sales tax.
So if the bike cost $100:
0.09(100) + (100-30) = 9 + 70 = $79
Although I think I would want them to tax the bike after the instant rebate and not on the original price.
If I'm wrong about the instant rebate then it would be 1.09x-30. Hope this helps.
Increment = 6% = 0.06
The explicit formula for the series is;
C(n) = C(n-1)(1.06), where n = nth month, C(n-1) = cost during previous month, C(n) = cost in month n
Applying the explicit formula;
Current cost = $150
2nd month cost = 150*1.06 = $159
3rd month cost = 159*1.06 = $168.54
The second option is correct.
Answer:
.3 is greater.
Step-by-step explanation:
.13
.3 or .30
These are the same, and obviously .30 is larger than .13.
Let's simplify step-by-step. <span><span><span>−<span>3<span>(<span><span><span>4x</span>−<span>5y</span></span>+6</span>)</span></span></span>+<span>8x</span></span>−9</span>
<span />Distribute:<span>=<span><span><span><span><span><span><span> (<span>−3</span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>−3</span>)</span><span>(<span>−<span>5y</span></span>)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(6)</span></span></span>+<span>8x</span></span>+</span>−9</span></span><span>=<span><span><span><span><span><span><span> −<span>12x</span></span>+<span>15y</span></span>+</span>−18</span>+<span>8x</span></span>+</span>−9</span></span>
<span><span /></span>Combine Like Terms:<span>= <span><span><span><span><span>−<span>12x</span></span>+<span>15y</span></span>+<span>−18</span></span>+<span>8x</span></span>+<span>−9</span></span></span><span>=<span><span><span> (<span><span>−<span>12x</span></span>+<span>8x</span></span>)</span>+<span>(<span>15y</span>)</span></span>+<span>(<span><span>−18</span>+<span>−9</span></span>)</span></span></span><span>=<span><span><span> −<span>4x</span></span>+<span>15y</span></span>+<span>−27</span></span></span>
<span><span><span /></span></span>Answer <span>=<span><span><span> −<span>4x</span></span>+<span>15y</span></span>−<span>27</span></span></span>