Respuesta :
Continuous compounding is the potentially endless number of periods in which compound interest may be calculated. The worth of the investment after a period of 10 years will be $850.34.
What is Continuous Compound Interest?
Continuous compounding is the potentially endless number of periods in which compound interest may be calculated and reinvested into an account's balance.
[tex]\rm A = Pe^{rt}[/tex]
where,
A is the principal amount after t number of years,
r is the rate at which the principal is been compounded, and P is the principal amount.
Given the principal amount of $570 is invested for a period of 10 years, and at a rate of 4% per year, therefore, the worth of the investment after 10 years will be,
[tex]\rm A = \$570 \times e^{(0.04 \times 10)} = \$850.34[/tex]
Hence, the worth of the investment after a period of 10 years will be $850.34.
Learn more about Continuous Compound Interest:
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