Five thousand dollars is deposited into a savings account at \( 5.5 \% \) interest compounded continuously. (a) What is the formula for \( A(t) \), the balance after \( t \) years? (b) What differential equation is satisfied by \( A(t) \), the balance after \( t \) years? (c) How much money will be in the account after 4 years? (d) When will the balance reach \( \$ 7000 \) ? (e) How fast is the balance growing when it reaches \( \$ 7000 \) ? (a) \( A(t)=5000 e^{0.055 t} \) (b) \( A^{\prime}(t)= \)

You deposit \( \$ 500 \) each month into an account earning \( 6 \% \) interest compounded monthly. a) How much will you have in the account in 20 years? b) How much total money will you put into the account? c) How much total interest will you earn? \( \$ \)

The original price of a tablet was \( \$ 550 \). During a sale, Melvin was given a 30\% discount for the tablet. How much did he pay for the tablet?

"In addition, she said banks operating in Africa need to have a more end-to-end approach to risk management, considering bankability at all stages." As a follow up to Question 1 above and in addition to the solutions recommended in the article, recommend how Southern African financial institutions can improve their risk management strategy.

Question 28 In which one of the following scenarios would the person be ineligible or disqualified from being the director of a company in terms of the companies act? A. Clark Wentzel, a rehabilitated insolvent individual, has been appointed as the Managing Director of Wing It Transport (Pty) Ltd. B. The shareholders of Avocado Cutlery (Pty) Ltd have decided to appoint Avocado Cutlery (Pty) Ltd as one of its own directors. C. Gus Jung was released from prison 20 years ago and has been appointed as a director of Free- Your-Mind (Pty) Ltd. D. Stephany Spielberg is 18 years of age and has opened her own registered private company, of which she is the director.

You deposit \( \$ 1000 \) each year into an account earning \( 7 \% \) interest compounded annually. How much will you have in the account in 35 years?