SECTION C (60MKS) Answer ONLY THREE questions in this section 9. It takes 3 hours 15 minutes to fly from city \( \wedge \) to city B at a constant speed. Find how long the journey takes if; (20mks) a) The speed is \( 1 \frac{1}{2} \) times that of the original speed. b) The speed is three-quarters of the original speed. c) The speed is reduced by a \( \frac{1}{3} \) of the original speed. d) The speed is increased by \( \frac{1}{2} \) of the original speed.

(b) \( \begin{array}{l}\$ 8500 \text { is invested for } 5 \text { years at } 0.3 \% \text { interest per year compound interest. } \\ \text { Given that the formula for compound interest is Final Value }=P\left(1+\frac{r}{100}\right) \\ \text { where: } \\ \qquad \begin{aligned} \mathrm{P} & =\text { the initial amount invested } \\ \mathrm{r} & =\text { the interest rate }\end{aligned} \\ \mathrm{n}=\text { the number of years that the interest rate is applied }\end{array} \) What is the final value of the investment after 5 years?

Find the time required for an investment of 5000 dollars to grow to 8500 dollars at an interest rate of 7.5 percent per year, compounded quarterly. Your answer is \( t=\square \) years. You'may enter the exact value or round to 2 decimal places. Question Help: \( \square \) Video

Simplify. \( \sqrt{\frac{8 b^{7}}{9}}=\square \)

c) \( \frac{9}{8}-\left(\frac{11}{8}-\frac{19}{32}\right) \)

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