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Anna11 [10]
3 years ago
15

Find the balance of an account after 7 years if &700 is deposited into an account paying 4.3% interest compounded monthly.

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0

Answer:$945.34

Step-by-step explanation: Use the compound interest formula.

Substitute $700 for P, 0.043 for r, 12 for n and 7 for t and simplify.

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Which expressions are equivalent to 1.08^4t?
artcher [175]

Answer:

Therefore,

The Equivalent expression is option A,

(1.08^{4})^{t}

Step-by-step explanation:

Given:

Expressions  is

1.08^{4t}

To Find:

Equivalent expression ?

Solution:

We have Law of indices

(a^{x})^{y}=a^{x\times y}\\(a^{\frac {x}{y}})^{z}=a^{\frac{x\times z}{y}

For option A

(1.08^t)^4

(1.08^{4})^{t}=1.08^{4t}

Hence option A is the Equivalent expression.

For option B

1.08^8t/1.08^2t

(1.08^{\frac{8t}{1.08}})^{2t}=1.08^{\frac{16t^{2}}{1.08}}=1.08^{14.81t^{2}}

Which is not the Equivalent expression.

For option C

1.08^4*1.08^t

(1.08^{4\times 1.08})^{t}=1.08^{4.32t}

Which is not the Equivalent expression.

For option D

1.08^6t/1.08^2t

(1.08^{\frac{6t}{1.08}})^{2t}=1.08^{11.11t^{2}}

Which is not the Equivalent expression.

Therefore,

The Equivalent expression is option A,

(1.08^{4})^{t}

6 0
3 years ago
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