QUESTION 1 1.1 What will be the best option to invest R35 000 for 3 years: a) at 15% per year simple interest. (3) b) at 14% per year compound interest. (5) 1.2 If R18 000 is borrowed at 12,5% per year compound interest, determine the: a) interest to be paid for borrowing the money for 4 years. (5) (1) b) total amount that has to be paid back after 4 years. 1.3 R30 000 is invested for 2 years at an interest rate of 10,5% per year. Calculate the le value of the investment after 2 years if interest is compounded half-yearly. [2 QUESTION 2 Differentiate between personal income and personal expenditure. Give an exam​

First of all, this equation is defined on ]3,+∞[ because you need x+3>0 and x−3>0 at the same time or the log won't be defined.

The log function maps a sum into a product, hence log(x+3)+log(x−3)=27⇔log[(x+3)(x−3)]=log27.

You now apply the exponential function on both sides of the equation : log[(x+3)(x−3)]=log27⇔(x+3)(x−3)=27⇔x2−9=27⇔x2−36=30. This is a quadratic equation that has 2 real roots because Δ=−4⋅(−36)=144>0

You know apply the quadratic formula x=−b±√Δ2a with a=1 and b=0, hence the 2 solutions of this equation : x=±6

−6∉]3,+∞[ so we can't keep this one. The only solution is x=6.

Step-by-step explanation:

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