Mr Hassan buys a house for R500 000,00 . He has to pay a \( 20 \% \) deposit and takes out a loan from the bank for the balance. The loan is amortised over a period of 20 years by means of equal monthly payments of R4 404,35. The interest rate for the loan is \( 12 \% \) per year, compounded monthly. The outstanding principal aftes 12 years is Select one: a. R400 000,00 . b. R270 989,54 . c. R309 615,00 .

Activity Solve the following problems. 1. The population of Davao City in 2023 is estimated to be 1.8 million, covering a city area of \( 2,444 \mathrm{sq} \) km. What is its population per square kilometer? 2. Maria can bake 75 cakes in 15 days. How many cakes can she bake in a day? What is her rate per day? 3. A delivery person can deliver 45 packages in 3 hours. How many packages can they deliver in 7 hours? 4. A box of chocolates costs Php 500 . How much will 4 boxes cost? 5. A cyclist rode 480 km non-stop in 60 hours. Calculate their speed (in simplest fraction form). How far can they ride in 1 day?

1- Montrer que \( : n^{2}+n+4 \) est un nombre pair 2- En déduire que si \( n \) est impair alors 8 divise \( n^{2}+15 \) 3- Montrer que \( : n^{3}+3 n^{2}+2 n \) est divisible par 3 4- Montrer que \( : n(n+1)(n+2)(n+3)+1 \) est un carré parfait 5- On pose \( a=5^{n+2}-5^{n} \) et \( b=4500 \) a- Montrer que \( : 6 \) divise \( a \) b- Décomposer \( a \) et \( b \) en produits des facteurs premiers c- En déduire \( \operatorname{PGCD}(a ; b) \) et \( \operatorname{PPCM}(a ; b) \) suivant la valeur de \( n \)

atomic radius of hydrogen is 37: \( \begin{array}{ll}\text { a) Pecometer } & \text { b) Manometer } \\ \text { c) Angstrom } & \text { d) Micrometer }\end{array} \)

a) \( \sqrt{a^{2+b}}-\sqrt{x^{2}-b^{2}}= \)

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