Answer:
k = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-84 = -2(2 + 5k)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Divide -2 on both sides: 42 = 2 + 5k
- Isolate <em>k</em> term: 40 = 5k
- Isolate <em>k</em>: 8 = k
- Rewrite: k = 8
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: -84 = -2(2 + 5(8))
- Multiply: -84 = -2(2 + 40)
- Add: -84 = -2(42)
- Multiply: -84 = -84
Here we see that -84 does indeed equal -84.
∴ k = 8 is the solution to the equation.
we can use formula
![y=ab^x](https://tex.z-dn.net/?f=%20y%3Dab%5Ex%20)
now, we can find a and b
Initially , price is 500
so,
At ![x=0,y=500](https://tex.z-dn.net/?f=%20x%3D0%2Cy%3D500%20)
![500=ab^0](https://tex.z-dn.net/?f=%20500%3Dab%5E0%20)
![a=500](https://tex.z-dn.net/?f=%20a%3D500%20)
now, we can plug back
![y=500(b)^x](https://tex.z-dn.net/?f=%20y%3D500%28b%29%5Ex%20)
At ![x=3,y=10](https://tex.z-dn.net/?f=%20x%3D3%2Cy%3D10%20)
we can use it and find b
![10=500(b)^3](https://tex.z-dn.net/?f=%2010%3D500%28b%29%5E3%20)
now, we can solve for b
and we get
![b=0.27144](https://tex.z-dn.net/?f=%20b%3D0.27144%20)
so,
annual depreciation rate is 27.144%.......Answer
Answer:
5 units to the right!
It would take 3 unites to the right to get the 0 and then 2 more units to the right to get to 2, so that means 5 units in total to the right.
Answer:
1. A wavelength of 320
2.the human eye 560
3.As the wavelength grows beyond 560
Step-by-step explanation:
W=560
I’m pretty sure it’s 36/100 - 36% since there are 100 boxes and 36 of them are shaded