Solve the following simple annuities. 1. Roselyn spends Php 850 per month on cigarettes. If she stops smoking and invests the same amount in a plan paying \( 15 \% \) compounded monthly, how much will he have after 4 years? 2. At the birth of his grandson, Jethro commits to help pay his college education. He decides to make deposits of Php 10400 at the end of each three months into an account for 12 years. Find the amount of annuity assuming10\% compounded quarterly?

The ages of the starting players on a high school soccer team are as follows: \( 14,15,15,16,16,16,17,17,17,17,18 \) Find the mean, median, and mode of the data.

\begin{tabular}{|l|l}\( |1-\sqrt{2}|=\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \) & 3. \( \left|\frac{1}{2}-\frac{3}{4}\right|=\ldots \ldots \ldots \) \\ \( |\pi-3|=\ldots \ldots \ldots \ldots \ldots \) & 4. \( |\sqrt{3}-\sqrt{2}|=\ldots \ldots \)\end{tabular}

1. \( (-5)^{2}(-1)^{2}+(3 / 2)^{2}= \)

Based on question 5 , the temperature reading separating the bottom \( 92 \% \) is approximately \( \square \). (Round to two decimal places as needed.)

6. A man builds a circular garden with a pathway around. It is illustrated alongside. a. Calculate the circumference of the garden if the radius of the garden is 2 m . b. Calculate the circumference of the outer edge of the path if the width of the path is 800 mm . c. Calculate the area of the garden. d. If he wants to put compost onto the garden and a 20 kg bag will cover \( 3 \mathrm{~m}^{2} \). How many bags of compost must he buy? e. He wants to pave the pathway and a builder will only help him if the area Is less than \( 5 \mathrm{~m}^{2} \). Calculate the area of the pathway. Will the builder help him?