1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much
does the factory worker make in U.S. in dollars per year? 2. People in Japan on average eat 3 ounces of fish per day. How many pounds of fish is this per week?
3. The town of Lloró, Colombia has an average yearly rainfall of 500 inches. On average, how many centimeters of rain does the town get each day?
4.The average American student is in class for 330 min/day. How many hours/day is this? Part b) How many sec/day?
Please show simple steps for each question and include the answer.
1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much does the factory worker make in U.S. in dollars per year? For this case we must first take the amount $ per month. We have then: 1 $ ---> 4000 x = ----> 320000 Solving for x we have x = (320000/4000) * (1) = $ 80 / month We have then that 1 year two 12 months ($ 80 / month) * (12 months / 1 year) = $ 960 / year Answer the factory worker make 960 U.S. in dollars per year
2. People in Japan on average eat 3 ounces of fish per day. How many pounds of fish is this per week?
For this case, the first thing you should know is that a week has 7 days. We can make a rule of three to find the number of ounces per week 3 ---> 1 x = ----> 7 x = (7/1) * (3) = 21ounces / week Then, we should do the conversion of ounces to pounds 1 oz = 0.0625 pounds Thus, (21ounces / week) * (0.0625 punds / 1 ounce) = 1.3125 pounds / week answer 3 ounces of fish per day is 1.3125 pounds / week
3. The town of Lloró, Colombia has an average yearly rainfall of 500 inches. On average, how many centimeters of rain does the town get each day?
The first thing you should know in this case are the following conversions: 1 year = 365 days 1 inch = 2.54 centimeters We have the annual average rainfall is 500 (inches / year) Making the conversion we have 500 (inches / year) * (2.54) (centimeters / inches) * (1/365) (year / days) = 3.45 (centimeters / days) Answer the town get each day 3.45 (centimeters / days)
4. The average American student is in class for 330 min / day. How many hours / day is this? Part b) How many sec / day? The first thing you should know for this case are the following conversions 1 hour = 60 minutes 1 minute = 60 seconds. Making the right conversions we have 330 (min / day) * (1/60) (hour / minutes) = 5.5hours / day On the other hand we have 330 (min / day) * (60/1) (seconds / minutes) = 19800 sec / day answer 330 (min / day) = 5.5hours / day 330 (min / day) = 19800 sec / day
a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:
b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence
