You want to be able to withdraw \( \$ 35,000 \) from your account each year for 30 years after you retire. You expect to retire in 20 years. If your account earns \( 5 \% \) interest, how much will you need to deposit each year until retirement to achieve your retirement goals? \( \$ \) Round your answer to the nearest cent.

9.1 How much must Peter invest now, at \( 9,5 \% \) p.a. compounded quarterly, if he wants to have \( R 40000 \) after 6 years? Convert \( 20 \% \) p.a. effective to a nominal rate, compounded monthly. Mike opens a savings account with a deposit of \( R 60000 \). He leaves the money in the account for 7 years. The interest rate for the first 3 years is \( 2,7 \% \) p.a. compounded quarterly and for the remaining 4 years it is \( 3,2 \% \) p.a. compounded monthly. How much money will be in Mike's savings account at the end of the 7 -year period? Sarah deposited \( R 6000 \) into her bank account 10 years ago. Six years ago, she withdrew \( R 2000 \). Interest is calculated at \( 7,6 \% \) p.a. compounded monthly. How much money is in the account at present?

QUESTION 13 Which of the following is least likely to be associated with market failure, and is consequently least likely to require any form of state regulation or intervention? a) Hake fishing off the west coast of South Africa. b) The provision of education services in govemment schools. c) The provision of education services in private schools. d) The market for fast foods.

Suppose the nominal exchange rate between the Japanese yen and the UK pound is 100 yen per pound. Futher, suppose that a kilogram of rice costs \( £ 2 \) in the UK and 250 yen in Japan. What is the real exchange rate between Japan and the UK? a) 2.5 kilograms of Japanese rice per kilogram of UK rice. b) 0.5 kilograms of Japanese rice per kilogram of UK rice. c) 1.25 kilograms of Japanese rice per kilogram of UK rice. d) 0.8 kilograms of Japanese rice per kilogram of UK rice.

QUESTION 21 Suppose the nominal exchange rate between the Japanese yen and the UK pound is 100 yen per pound. Further, suppose that a kilogram of rice costs \( £ 2 \) in the UK and 250 yen in Japan. What is the real exchang rate between Japan and the UK? a) 2.5 kilograms of Japanese rice per kilogram of UK rice. b) 0.5 kilograms of Japanese rice per kilogram of UK rice. c) 1.25 kilograms of Japanese rice per kilogram of UK rice. d) 0.8 kilograms of Japanese rice per kilogram of UK rice.

3. In un reparto di un'azienda di cosmetici sono presenti tre linee di prodotti: creme, deodoranti e saponette. Su tali prodotti vengono eseguiti controlli di qualità, attraverso specifici test nei laboratori chimici, con un costo settimanale di \( € 4.550 \) \( € \). Il costo viene suddiviso tra le tre linee in proporzione alle ore di produzione e a. numero di prodotti lavorati. I dati sono i seguenti: - Linea creme: ore di produzione 35 ; pezzi lavorati 6.300 - Linea deodoranti ore di produzione 25 ; pezzi lavorati 9.800 - Linea saponette ore di produzione 10 ; pezzi lavorati 3.000 uanto ammonta la quota di costo del controllo di qualità a carico di ciascuna linea?