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Rom4ik [11]
4 years ago
15

Suppose Heather places $3500 in an account that pays 11% interest compounded each year.Assume that no withdrawals are made from

the account.
1) find the amount in the account at the end of 1 year.
2)find the amount in the account at the end of 2 years.
Mathematics
1 answer:
faltersainse [42]4 years ago
8 0

Answer:  1) $3885   2) $4312.35

Step-by-step explanation:

The formula to find the compound amount is given by :-

A=P(1+r)^t, where P is the principal amount , r is the rate of interest and t is the time period.

Given : Principal amount : P=\$3500 ,

Rate of interest : r=0.11

When t=1 , then the amount in the account at the end of 1 year:-

A=3500(1+0.11)^1=\$3885

When t=2 , then the amount in the account at the end of 1 year:-

A=3500(1+0.11)^2=\$4312.35

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Option C:  (6^{-4})^{-4}

Option D:  (6^{-2})^{-8}

Option F:  (6^8)^2

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To find which expression is equivalent to the given expression.

Let us solve this using exponent rule: \left(a^{b}\right)^{c}=a^{b c}

Option A: (6^{0})^{16}

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It is equivalent expression for the given expression.

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It is equivalent expression for the given expression.

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It is equivalent expression for the given expression.

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Option C, Option D and Option F are correct answers.

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