Answer:
Step-by-step explanation:
7. 
6. 
5. ![\displaystyle 1000[0,85]^8 = 272,490525 ≈ \$272,49](https://tex.z-dn.net/?f=%5Cdisplaystyle%201000%5B0%2C85%5D%5E8%20%3D%20272%2C490525%20%E2%89%88%20%5C%24272%2C49)
4. ![\displaystyle 1000 = a \\ -15\% + 100\% = 1 - r; 85\% = 1 - r \\ 8\:years = time\:[t]](https://tex.z-dn.net/?f=%5Cdisplaystyle%201000%20%3D%20a%20%5C%5C%20-15%5C%25%20%2B%20100%5C%25%20%3D%201%20-%20r%3B%2085%5C%25%20%3D%201%20-%20r%20%5C%5C%208%5C%3Ayears%20%3D%20time%5C%3A%5Bt%5D)
3. ![\displaystyle /text{We need to use the "Exponential Decay" formula} - f(t) = a[1 - r]^t, where a > 0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%2Ftext%7BWe%20need%20to%20use%20the%20%22Exponential%20Decay%22%20formula%7D%20-%20f%28t%29%20%3D%20a%5B1%20-%20r%5D%5Et%2C%20where%20a%20%3E%200)
2. 
1. 
I am joyous to assist you anytime.
Luke: 1 practice 1 lap, 2 practices 2 laps, 3 practices 3 laps, 4 practices 4 laps
Alex: 1 practice 3 laps, 2 practices 6 laps, 3 practices 9 laps, 4 practices 12 laps
Luke ran 3 laps for 3 practices, and Alex ran 9 laps for 3 practices.
5 students each group...lel
Answer:
The answer to your question is the second choice tan Ф = -3/4
Step-by-step explanation:
Data
sin Ф = -3/5
cos Ф > 0
Process
1.- The sin Ф is negative, which means that is in the third or fourth quadrant.
2.- sin Ф = -3/5 and sin Ф = Opposite side/hypotenuse
then, Opposite side = 3 hypotenuse = 5
3.- Calculate the adjacent side using the Pythagorean theorem
c² = a² + b²
b² = c² - a²
b² = 25 - 9
b² = 16
b = 4
4.- If cos Ф is in the third quadrant
cos Ф = -4/5 and cos Ф < 0 This is incorrect
5.- If cos Ф is in the fourth quadrant
cos Ф = 4/5 and cos Ф > 0 This is correct
Then, this angle is in the fourth quadrant
6.- Calculate tan Ф
tan Ф = -3/4
Answer:
Great job!
Step-by-step explanation:
