3 years ago

I need help to answer these questions

Mathematics

1 answer:

mote1985 [20]3 years ago

5 0

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Write the decimal as a percent.<br>0.12568

Kobotan [32]

12.568% is the correct answer

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3 years ago

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I need some help! please help me if you know the answers! will give brainliest!

miv72 [106K]

C because you have to round and it would be C

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Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.

Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all $n\in\mathbb{N},3|(4^n+5)$ . This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let $n=1$ , then we have $4^{1}+5=9$ , and evidently, $9|3$ .

Assume that $4^n+5$ is divisible by $3$ for $n=k, k\in\mathbb{N}$ . Then, by this assumption, $3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}$ .

Now, let $n=k+1$ . Then:

$4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)$

Since $3|(4^k+m)$ , we may conclude, by the axiom of induction, that the property holds for all $n\in\mathbb{N}$ .

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2 years ago

A piece of ribbon is 12/15m long. A piece of 4/15 m is cut from it. What is the fraction

nignag [31]

Answer:

8/15

Step-by-step explanation:

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2 years ago

$1,000 after 2 years at an interest rate of 3.0% is round up to the nearest cent

Shalnov [3]

After two years with the interest compounded annually the amount would be $1,060.90.

After two years with the interest compounded monthly the amount would be $1,061.76.

After two years with the interest compounded quarterly the amount would be $1,061.60.

After two years with the interest compounded semiannually the amount would be $1,061.36.

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3 years ago