Suppose that \( \$ 10,970 \) is invested at an interest rate of \( 5.5 \% \) per year, compounded continuously. a) Find the exponential function that describes the amount in the account after time \( t \), in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time? a) The exponential growth function is \( \mathrm{P}(\mathrm{t})=10970 e^{0.055 t} \). (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) b) The balance after 1 year is \( \$ 11,590.25 \). (Simplify your answers. Round to two decimal places as needed.) The balance after 2 years is \( \$ \square \). (Simplify your answers. Round to two decimal places as needed.)

QUESTION THREE 3.1. You invest \( R 5000.00 \) for six years. The interest rate is \( 10 \% \) per annum compounded yearly for the first two years. The interest rate then changes to \( 6 \% \) per annum compounded monthly for the remainder of the investment. 3.1.1. How much is the investment worth after two years? 3.1.2. What is the final value of the investment? 3.2. You consider buying a business for \( R 975000 \). The business is expected to run for 4 years and the following net returns are expected. YEAR 1 : \( R 200000 \) YEAR \( 2: R 250000 \) YEAR \( 3: R 320000 \) YEAR \( 4: R 400000 \) Should you buy the business? A project of this type is expected to return at least \( 12 \% \) per annum.

The price of a cell phone is \( \$ 700 \) plus UAT of 10 i Calculate the total cost of the phone.

Suppose that \( \$ 10,970 \) is invested at an interest rate of \( 5.5 \% \) per year, compounded continuously. a) Find the exponential function that describes the amount in the account after time \( t \), in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time? a) The exponential growth function is \( \mathrm{P}(\mathrm{t})=10970 e^{0.055 t} \). (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) b) The balance after 1 year is \( \$ 11,590.25 \). (Simplify your answers. Round to two decimal places as needed.) The balance after 2 years is \( \$ \square \). (Simplify your answers. Round to two decimal places as needed.)

Quais são as vantagens de participar de um consórcio? \( \begin{array}{ll}\square & \text { A) Possibilidade de comprar bens sem pagar juros. } \\ \square & \text { B) Possibilidade de contemplação antecipada. } \\ \begin{array}{ll}\text { D) Aquisção imediata do bem. }\end{array}\end{array} \)

A man borrowed \( \$ 10,000 \) from the bank for 3 years at \( 12 \% \) per annum. Calculate the interest he is charged amount of the loan.