3 years ago

Pls help me with this statistic assignment

Mathematics

1 answer:

alexandr1967 [171]3 years ago

4 0

Answer:

Pls help me with this statistic assignment

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The amount of money, in dollars, in an account after t years is given by A = 1000(1.03) t . The initial deposit into the account

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The amount of money, in dollars, in an account after t years is given by a = 1000 (1.03) T. The initial deposit into the account was $1000 and the interest rate is 3% per year. Hope this helps.

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Prove that the number A= [tex]20^{8^{2014} } }+113 is composite

Drupady [299]

Cheese proof:

We can just prove that it is divisible by 3, which means that it is composite. We can use modular exponentiation, where if $a \equiv b \pmod{n}$ then $a^x \equiv b^x \pmod{n}$ . In this case, ${-1}^{8^{2014}} \equiv 20^{8^{2014}} \pmod{3}$ . This is much easier to calculate! Since $8^{2014}$ is even, $-1^{8^{2014}}=1$ , meaning that now we only need to prove that $0\equiv(1+113) \pmod{3}$ , which is obviously true.