Answer:
the answer would be -13n-23
Step-by-step explanation:
first you want to distribute the brackets
-7(2+n) = -14-7n
+(-9-6n)
-9-6n
-14-7n-9-6n
combine the n value with an n value and an integer that doesn't have an n value
-7n-6n-14-9
= -13n-23
Answer: A. 4.
Explanation: solving graphically
Answer:
![\$272,49](https://tex.z-dn.net/?f=%5C%24272%2C49)
Step-by-step explanation:
7. ![\displaystyle /text{The answer makes sense because since the depreciation rate is 15%, we know that we need to use the "exponential decay" formula.}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%2Ftext%7BThe%20answer%20makes%20sense%20because%20since%20the%20depreciation%20rate%20is%2015%25%2C%20we%20know%20that%20we%20need%20to%20use%20the%20%22exponential%20decay%22%20formula.%7D)
6. ![\displaystyle /text{After a depreciation rate of 15% for the past 8 years, the stock is now worth approximately $272,49.}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%2Ftext%7BAfter%20a%20depreciation%20rate%20of%2015%25%20for%20the%20past%208%20years%2C%20the%20stock%20is%20now%20worth%20approximately%20%24272%2C49.%7D)
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. ![\displaystyle /text{How much is the stock worth after a depreciation rate of 15% per year?}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%2Ftext%7BHow%20much%20is%20the%20stock%20worth%20after%20a%20depreciation%20rate%20of%2015%25%20per%20year%3F%7D)
1. ![\displaystyle /text{initial amount: $1000, a depreciation rate of 15%, and a time period of 8 years}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%2Ftext%7Binitial%20amount%3A%20%241000%2C%20a%20depreciation%20rate%20of%2015%25%2C%20and%20a%20time%20period%20of%208%20years%7D)
I am joyous to assist you anytime.
Answer:
area = 138 m²
Step-by-step explanation:
radius of large circle = 12 m
radius of small circle = 10 m
large circle area = πr² = (3.14)(12²) = 452.16 m²
small circle area = πr² = (3.14)(10²) =314 m²
452.16 - 314 = 138.16 m²