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alculate the amount of interest on $2,000.00 for 4 years, compounding daily at 2.25 % APR. From the Monthly Interest Table use $1.094171 in interest for each $1.00 invested
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Asked 10/19/2009 12:22:03 PM
Updated 7/6/2023 12:19:42 PM
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User: alculate the amount of interest on $2,000.00 for 4 years, compounding daily at 2.25 % APR. From the Monthly Interest Table use $1.094171 in interest for each $1.00 invested





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Expert answered|mrsweldy|Points 55|

User: alculate the amount of interest on $2,000.00 for 4 years, compounding daily at 2.25 % APR. From the Monthly Interest Table use $1.094171 in interest for each $1.00 invested



Question|Rated bad
Asked 10/19/2009 12:22:03 PM
Updated 7/6/2023 12:19:42 PM
1 Answer/Comment
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3
To calculate the amount of interest on $2,000.00 for 4 years, we need to use the given interest rate or APR (Annual Percentage Rate) and the compounding period.

Simple Interest:
If the interest is calculated using simple interest, the formula to calculate the interest is:
Interest = Principal × Rate × Time

In this case, the principal is $2,000.00, the time is 4 years, and the rate is not provided. Please provide the rate so that I can calculate the simple interest.

Compound Interest:
If the interest is compounded daily at an APR of 2.25%, we can use the compound interest formula:
Compound Interest = Principal × (1 + Rate/365)^(365 × Time)

In this case, the principal is $2,000.00, the time is 4 years, and the rate is 2.25% or 0.0225.

Let's calculate the compound interest:

Compound Interest = $2,000.00 × (1 + 0.0225/365)^(365 × 4)
Compound Interest = $2,000.00 × (1 + 0.00006164)^(1,460)
Compound Interest $2,000.00 × (1.00006164)^(1,460)
Compound Interest $2,000.00 × 1.094171

Using the given information from the Monthly Interest Table, we find that the interest for each $1.00 invested is $1.094171.

Therefore, the approximate amount of interest on $2,000.00 for 4 years, compounding daily at 2.25% APR, is:

Interest $2,000.00 × 1.094171
Interest $2,188.34

The amount of interest is approximately $2,188.34.
Added 7/6/2023 12:19:42 PM
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Added 3/28/2024 8:21:57 AM
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2 Answers/Comments
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