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What is the annual interest rate for an account that compounds monthly at a rate of 2.5%?


A.

2.10%

B.

2.50%

C.

2.53%

D.

2.55%

E.

2.58%

Answer :

dadbodbtw
Your answer is B, 2.5% is equivalent to 2.50%
Brainliest? (-:

Answer:

D. 2.55%.

Step-by-step explanation:

The rate is given by the following formula

[tex]r=(1+\frac{i}{n} )^{n}-1[/tex]

Where

[tex]r[/tex] is the rate

[tex]i[/tex] is the interest in decimals

[tex]n[/tex] is the number of compounded periods

Replacing each value, we have

[tex]r=(1+\frac{0.025}{12} )^{12}-1=(1+0.0021)^{12}-1=(1.0021)^{12} -1=0.0255[/tex]

Then, we express the rate in percentage: [tex]0.0255 \times 100 = 2.55 \%[/tex]

Therefore, the right answer is D. 2.55%.

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