Let

(a) Prove that the subset J is an ideal of the ring R; (b) Prove that the quotient ring

UkusakazaL
2021-09-19
Answered

Let

(a) Prove that the subset J is an ideal of the ring R; (b) Prove that the quotient ring

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StrycharzT

Answered 2021-09-20
Author has **102** answers

Claim

If

then

Then,

on the other hard.

If

From

Since, for any

such thet

Then,

By the 1st isomorphic theorem for the rings,

Hence, the Quotient ring

1st Isomorphic Theorem for Rings:

Let

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Andy and Ena opened separate bank accounts that earn compound interest. Andy's account can be modeled by the function $f\left(x\right)=275{\left(1.06\right)}^{x}$ . Ena's account can be modeled by the function $f\left(x\right)=115{\left(1.09\right)}^{x}$ . Which statement about the functions is true?

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G. The beginning balances cannot be determined, but Ena's account earns a higher annual interest rate than Andy's account.

H. Andy's account has a higher beginning balance, but Ena's account earns a higher annual interest rate of 9%.

J. Andy's account has a higher beginning balance, but Ena's account earns a higher annual interest rate of 1.09%.

F. The beginhing balances cannot be determined, but Andy's account earns a higher annual interest rate than Ena's account.

G. The beginning balances cannot be determined, but Ena's account earns a higher annual interest rate than Andy's account.

H. Andy's account has a higher beginning balance, but Ena's account earns a higher annual interest rate of 9%.

J. Andy's account has a higher beginning balance, but Ena's account earns a higher annual interest rate of 1.09%.

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