So try and recognize the pattern. For level 1, you have 1 box and 12 cans. In 2, you have 3 boxes and 36 cans. 12/1 is 12, 36/3 is 12 and so on. The # of boxes times 12 is the number of cans. The # of boxes in the display is equal to the total number of boxes in each level. Level 5 will mean 1+2+3+4+5=15. Level 6 is 1+2+3+4+5+6=21. So if 6 has 21 display boxes, we can do 21*12 and you will get 252. Your answer is E, 252 cans.
<h3>
Answer: $2992.26</h3>
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Explanation:
If you're given a 15% discount, then you still have to pay the remaining 85% (because 100% - 15% = 85%)
Rewrite 85% into 0.85
The multiplier for "15% discount" is 0.85
Similarly, the multiplier for a 6% discount is 0.94; note how 100% - 6% = 94% = 0.94
When we have multiple discounts chained together like this we find the product of the multipliers. So we multiply the 0.85 and 0.94 to get
0.85*0.94 = 0.799
After chaining together the two discounts, you will have to pay 79.9% of the original value. This means the overall discount is 20.1%
Take the result of 0.799 and multiply that with the marketed price of $3745 to get the final answer
0.799*3745 = 2,992.255 which rounds to 2,992.26
Differentiating the function
... g(x) = 5^(1+x)
we get
... g'(x) = ln(5)·5^(1+x)
Then the linear approximation near x=0 is
... y = g'(0)(x - 0) + g(0)
... y = 5·ln(5)·x + 5
With numbers filled in, this is
... y ≈ 8.047x + 5 . . . . . linear approximation to g(x)
Using this to find approximate values for 5^0.95 and 5^1.1, we can fill in x=-0.05 and x=0.1 to get
... 5^0.95 ≈ 8.047·(-0.05) +5 ≈ 4.598 . . . . approximation to 5^0.95
... 5^1.1 ≈ 8.047·0.1 +5 ≈ 5.805 . . . . approximation to 5^1.1
Answer:
30:54
Step-by-step explanation:
5:9 x 6 = 30:54
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