Eva invested $10,000 in a savings account. If the interest rate is 3.5%, how much will be in the account in 10 years by compounding continuously? Round to the nearest cent.

The total in the account after 10 years would be: $14,190.68

Step-by-step explanation:

Recall the formula for continuous compounding:

where "A" is the accrued value after t years (what we need to find), "P" is the principal invested (in our case $10,000), "r" is the interest rate in decimal form (in our case r = 0.035), and "t" is the time in years (in our case t = 10). Therefore the formula becomes:

Therefore the total in the account after 10 years would be: $14,190.68

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