Question

Matilda saves 10 000e into savings account for five years time. The account has an interest rate of 3%. How much money will she have after 5 years time? There is also a 30% withholding tax from the interest rate.

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Answer to a math question Matilda saves 10 000e into savings account for five years time. The account has an interest rate of 3%. How much money will she have after 5 years time? There is also a 30% withholding tax from the interest rate.

Expert avatar
Jon
4.6
108 Answers
Step 1: We need to calculate the interest earned over 5 years.

We will use the formula for compound interest: A = P \left(1 + \frac{r}{100}\right)^n
Where:
A = amount after n years
P = starting principal amount (10 000 € in this case)
r = annual interest rate (3% in this case)
n = number of years (5 years in this case)

Plugging in the values:
A = 10 000 \left(1 + \frac{3}{100}\right)^5

Step 2: Calculate the amount after 5 years without tax.

A = 10 000 \times (1 + 0.03)^5 = 10 000 \times 1.15927 \approx 11 592.70

Step 3: Calculate the interest earned:
11 592.70 - 10 000 = 1 592.70 \text{ euros}

Step 4: Calculate the withholding tax on the interest earned at 30%.

0.30 \times 1 592.70 = 477.81

Step 5: Calculate the final amount left after deducting the withholding tax:
11 592.70 - 477.81 = 11 114.89

\boxed{11 114.89 \text{ euros}}

Answer: After 5 years, Matilda will have approximately 11 114.89 euros in her savings account.

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