Answer:
4%
Step-by-step explanation:
0.04 times 5000 is 200. add that to 5000 and you have 5200. i originally got it by dividing 5200 by 500, and i got 1.04. sorry if it doesnt make much sense
Answer: 2.66 × 10⁻¹³
<u>Step-by-step explanation:</u>
First, use the decay formula
where
- A is the final amount (amount left)
- A₀ is the initial amount (amount you started with)
- k is the rate of decay (you need to solve for this)
- t is the time
Given:
- A = 1/2(300) = 150
- A₀ = 300
- k = unknown
- t = 28.8
![150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\](https://tex.z-dn.net/?f=150%3D300e%5E%7B28.8k%7D%5C%5C%5C%5C0.5%3De%5E%7B28.8k%7D%5C%5C%5C%5Cln%280.5%29%3Dln%28e%5E%7B28.8k%7D%29%5C%5C%5C%5Cln%280.5%29%3D28.8k%5C%5C%5C%5C%5C%5C%5Cdfrac%7Bln%280.5%29%7D%7B28.8%7D%3Dk%5C%5C%5C%5C%5C%5C%5Clarge%5Cboxed%7B-0.0240676%3Dk%7D%5C%5C)
Next, input the k-value and the new t-value to solve for A.
- A = unknown
- A₀ = 300
- k = -0.0240676
- t = 1440
![A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\](https://tex.z-dn.net/?f=A%3D300e%5E%7B1440%28-.0240676%29%7D%5C%5C%5C%5C%5Clarge%5Cboxed%7BA%3D2.66%5Ctimes%2010%5E%7B-13%7D%7D%5C%5C)
Answer:
D is equivalent to the expression.
Step-by-step explanation:
The expression that is given equals 2.8, or 2.8x.
A. This expression equals 1.6x, and 1.6x is not equivalent to 2.8x
B. 0.3x + 3.1 = 3.4x. This doesn't have the answer of 2.8x.
C. 1.3 - 0.3x = 1 or x.
D. 3.1 - 0.3x = 2.8x. D is the answer.