Answer:
B
Step-by-step explanation:
log(3x) = log(2x-4)
taking antilog of both sides:
3x = 2x - 4
3x - 2x = -4 [subtracting 2x from both sides]
x = -4
and we're done already!
For question 1, the largest value would be 1 and the smallest value would be -1. A, B, and C are either all 1 or two is negative and one is positive, either way the number is 1 and it's opposite. 1^2 is 1, 1^3 is 1, 1^4 is 1. The product is 1. -1^2 is -1, -1^3 is -1, -1^4 is -1. The product is -1. Now the difference. 1 - (-1), which is 1 + 1, the answer is [D) 2]
Answer:
option D
because every length is one fifth of the corresponding length of the bigger triangle
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.