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Find the ending balance if 1500 was deposited at 7% annual interest compounded quarterly for 7 years

User Dandelion
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3 votes

Answer:

$2147.85

Explanation:

To find the ending balance after 7 years, compounded quarterly at 7% annual interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the ending balance

P = the initial deposit amount ($1500)

r = the annual interest rate (7% or 0.07 as a decimal)

n = the number of times the interest is compounded per year (4 for quarterly)

t = the number of years (7)

Plugging in the given values into the formula, we get:

A = 1500(1 + 0.07/4)^(4*7)

Now, let's calculate it step by step:

1. Calculate the value inside the parentheses:

(1 + 0.07/4) = 1.0175

2. Raise the value inside the parentheses to the power of (4*7):

(1.0175)^(4*7) ≈ 1.0175^28 ≈ 1.431900676

3. Multiply the initial deposit by the calculated value from step 2:

1500 * 1.431900676 ≈ 2147.85

So, the ending balance after 7 years, compounded quarterly at 7% annual interest, would be approximately $2147.85.

User KRH
by
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