A principal amount of $10,000 is invested in a continuously compounded account. After 15 years, the investment grows to $25,000. Find the annual interest rate. Round your answer to the nearest two decimal places in percentage form. Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years. Get tutor help
David deposited $2,500 in a bank account, and it grew to $5,000 in 6 years. Calculate the annual interest rate, compounded continuously. Round your answer to the nearest two decimal places in percentage form. Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years. Get tutor helpA city's infrastructure improvement fund has $300,000 available, which is invested in an account with a 6.2% interest rate compounded continuously. How long will it take for the fund to grow to $600,000?Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.Round your answer to the nearest tenth. Get tutor helpA university endowment fund starts with $200,000 and places it in an investment account with a 5.5% interest rate compounded continuously to support future scholarships. How long will it take for the fund to grow to $350,000?Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.Round your answer to the nearest tenth. Get tutor helpA technology startup received a seed investment of $50,000 and wants to grow this amount by investing it in a high-yield account with a 7% interest rate compounded continuously. How many years will it take for the investment to reach $100,000?Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.Round your answer to the nearest tenth. Get tutor helpA non-profit organization received a donation of $75,000 and decided to invest it in an account with a 4.8% interest rate compounded continuously to build a reserve fund. How long will it take for the donation to grow to $150,000?Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.Round your answer to the nearest tenth. Get tutor helpLucas invested $5,000 in an account to save for a trip abroad. After 7 years, his investment grew to $15,000. What is the annual interest rate, compounded continuously, that Lucas's account earned? Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.Round your answer to the nearest two decimal places in percentage form. Get tutor helpEmily received a bonus of $9,000 from her company and wants to invest it in an account to save for a dream vacation. Her investment account has a 10% interest rate compounded continuously. How long will it take for her money to grow to $24,420? Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years. Round your answer to the nearest tenth. Get tutor help
