<h3>
Answer:</h3>
C
<h3>
Step-by-step explanation:</h3>
You want to choose an assignment of numbers that makes the number of numbers that represent each color be the same.
Numbers 0–33 include 34 numbers. Numbers 0–99 include 100 numbers, so blue blocks are over-represented by scenario A.
Scenario B suffers the same problem as scenario A in that 0–3 includes 4 numbers and 0–9 includes 10 numbers.
Scenario D has the opposite problem: 1–31 is 31 numbers, but 32–63 is 32 numbers. Blue blocks are under-represented in this scenario.
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Scenario C has 3 of 9 numbers representing each color—just what you want.
Answer:
4![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
Step-by-step explanation:
To simplify , multiply the numerator/ denominator by ![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
![\frac{20(\sqrt{5}) }{\sqrt{5}(\sqrt{5}) }](https://tex.z-dn.net/?f=%5Cfrac%7B20%28%5Csqrt%7B5%7D%29%20%7D%7B%5Csqrt%7B5%7D%28%5Csqrt%7B5%7D%29%20%20%7D)
= ![\frac{20\sqrt{5} }{5}](https://tex.z-dn.net/?f=%5Cfrac%7B20%5Csqrt%7B5%7D%20%7D%7B5%7D)
= 4![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
Let the amount invested at 3% = x
Let the amount invested at 6% = y.
From the total amount invested, we get this equation.
x + y = 18
Now we look at the interest earned.
The 3% account earns 0.03x
The 6% account earns 0.06y
5% on the entire amount is 0.05 * 18 = 0.9
This gives us the second equation.
0.03x + 0.06y = 0.9
Now we have a system of 2 equations in 2 unknowns.
x + y = 18
0.03x + 0.06y = 0.9
Solve the first equation for y:
y = 18 - x
Replace 18 - x for y in the second equation.
0.03x + 0.06y = 0.9
0.03x + 0.06(18 - x) = 0.9
0.03x + 1.08 - 0.06x = 0.9
-0.03x + 1.08 = 0.9
-0.03x = -0.18
x = 6
Answer: He invested $6 at 3%.
Answer:
x = -1
Step-by-step explanation:
Solution :
4+5=3-1t+5
⇒t+1=0
⇒t= -1