Math  /  Numbers & Operations

QuestionQUESTION 4 Ayanda plans to travel to New Zealand. Her flight has been paid for by her parents. However, she will need spending money of about NZ\150.4.1Iftheexchangerateiscurrently8,8595RandtotheNZ$,howmuchwillsheneedinSouthAfricanRandinordertohaveenoughspendingmoney?4.2AyandahasjustreceivedagiftofR500fromhergrandmotherandhergrandmotherpromisestogiveheranotherR500inayearstime.Ayandadecidestoinvestthismoneyinanaccountwhichpays 150. 4.1 If the exchange rate is currently 8,8595 Rand to the NZ\$, how much will she need in South African Rand in order to have enough spending money? 4.2 Ayanda has just received a gift of R500 from her grandmother and her grandmother promises to give her another R500 in a year's time. Ayanda decides to invest this money in an account which pays 8,5 \%$ p.a. compounded annually. How much will she have in her account after two years? 4.3 How much additional money will she have to add to her investment after two years if she withdraws all the money for her trip? โ101 QUESTION 5 5.1 A bag contains 7 red marbles and 5 green marbles. One marble is drawn out of the bag at random.
Calculate the probability that it is: 5.1.1 a red marble 5.1.2 an orange marble 5.1.3 a red or a green marble 5.1.4 not a red marble

Studdy Solution
Calculate the probability of not drawing a red marble. P(not red)=1P(red) P(\text{not red}) = 1 - P(\text{red}) P(not red)=1712=512 P(\text{not red}) = 1 - \frac{7}{12} = \frac{5}{12}
Solution Summary:
1. Ayanda needs 1328.93 ZAR for spending money.
2. Ayanda will have 1131.71 ZAR in her account after two years.
3. Ayanda needs to add 197.22 ZAR to her investment after two years.
4. Probability calculations: - Red marble: 712\frac{7}{12} - Orange marble: 00 - Red or green marble: 11 - Not a red marble: 512\frac{5}{12}

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