3 years ago

Help with my mathhhhh

Mathematics

1 answer:

stealth61 [152]3 years ago

3 0

Answer:

See the image below for the answer:)

Step-by-step explanation:

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It's the same because you're trying to find net price (end price)

You're going to take in both scenarios 100%-15%= 85%

You're always going to be paying only 85% of the price.

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Calculate the cost of 3,600 pounds of metal at 38 cents per pound, less discounts of 12%, 9%, and 3%.

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Tell whether the statement is true or false. If w is 25% of Z, then Z:W is 75:25

melamori03 [73]

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If Z:W was 75:25, it would be wrong because 25 is 33% of 75, not 25%.

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3 years ago

Using mathematical induction prove whether or not the following statement is true for all positive integers n, or show why it is

aniked [119]

Base case: For $n=1$ , the left side is 2 and the right is $2\cdot1^2=2$ , so the base case holds.

Induction hypothesis: Assume the statement is true for $n=k$ , that is

$2+6+10+\cdots+4k-2=2k^2$

We want to show that this implies truth for $n=k+1$ , that

$2+6+10+\cdots+4k-2+4(k+1)-2=2(k+1)^2$

The first $k$ terms on the left reduce according to the assumption above, and we can simplify the $k+1$ -th term a bit:

$\underbrace{2+6+10+\cdots+4k-2}_{2k^2}+4k+2$

$2k^2+4k+2=2(k^2+2k+1)=2(k+1)^2$

so the statement is true for all $n\in\mathbb N$ .

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3 years ago