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3 years ago

Amar bought a sled for $36.24. Sales tax is 8%. What is the total cost of his purchase? (step by step explanation)

Mathematics

1 answer:

Alborosie3 years ago

7 0

Answer:

$39.14 rounded

Step-by-step explanation: First you change the percent into a decimal which is 0.08.Then you multiply this to 36.24.Next you add 2.8992 to 36.24 and you should get 39.1392.Round it and you get 39.14.Rounded to nearest dollar is $39

Hope this helps!!!!!

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2 years ago

Use mathematical induction to prove the statement is true for all positive integers n. 1^2 + 3^2 + 5^2 + ... + (2n-1)^2 = (n(2n-

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The statement is true is for any $n\in \mathbb{N}$ .

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First, we check the identity for $n = 1$ :

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$\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)}{3} +[2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}$

$\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot [2\cdot (k+1)-1]^{2}}{3} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}$

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$(2\cdot k +1)\cdot [k\cdot (2\cdot k -1)+3\cdot (2\cdot k +1)] = (k+1) \cdot (2\cdot k +1)\cdot (2\cdot k +3)$

$k\cdot (2\cdot k - 1)+3\cdot (2\cdot k +1) = (k + 1)\cdot (2\cdot k +3)$

$2\cdot k^{2}+5\cdot k +3 = (k+1)\cdot (2\cdot k + 3)$

$(k+1)\cdot (2\cdot k + 3) = (k+1)\cdot (2\cdot k + 3)$

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3 years ago

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4 years ago

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