1. lucy has a jewelry business. to make a certain necklace, she spends $3.38 on materials and $5.57 on labor. she then sells the necklace for $15.99. lucy’s profit on the necklace is equal to the sale price minus the cost of materials and labor\ ) what decimal of every dollar of the sale price of the necklace is profit? show your work. round your answer to the nearest hundredth.

What are the soultion(s) to the quadratic equation 40- x^2=0

Expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation, which is 50miles away. thirty minutes later, express commuter train #7 leaves north side and travels at a average speed of 35miles per hour towards downtown sation. at the moment the two trains pass each other, how far(in miles) is train #12 from the downtown sation and how long(in minutes) has the #12 train been traveling

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.