A number has exactly eight factors. Two of the factors are 10and14. What is the number , and what are all the factors
Answer:
A = 4/5 ft
Step-by-step explanation:
Area = length x width
A = 2 2/5 x 1/3
Turn the mixed number into an improper fraction:
2 2/5 = 12/5
A = 12/5 x 1/3
A = 12/15
You can divide the top and bottom by 3:
A = 4/5
For the answer to the question above, the constant is called the coefficient of proportionality orproportionality constant. If one variable is always the product of the other and a constant, the two are said to be directly proportional. x and y are directly proportional if the ratio yx is constant<span>.
the answer is 1.1</span>
Answer:
- equivalent rate: 7.186%
- compounded 16 times
Step-by-step explanation:
The equivalent interest rate is the rate that would have to be applied so it would earn the same amount in 1 year. It is computed from ...
requiv = (1 +r/n)^n -1
requiv = (1 +0.07/4)^4 -1 ≈ 7.186%
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"Compounded quarterly" means interest is compounded 4 times per year. In 4 years, it will be compounded 4·4 = 16 times.
__
The balance in the account after 4 years is ...
$600·(1 +.07/4)^(4·4) ≈ $791.96
OK. Quite a bit of work for 5 points, but here goes:
Picture on the left:
When square roots need to be multiplied, just go ahead and
mash everything together.
The product of √one thing) times (√another thing
is just √(one thing times the other thing) .
So √(3x²y³) · 2 · √(72x³y⁴) is just
2 · √(3x²y³ · 72x³y⁴)
= 2 · √(216 x⁵ y⁷)
That looks pretty complicated. But if you break it up into things that are
perfect squares, then you can pull those out of the square root.
2 · √(216 x⁵ y⁷)
= 2 · √(6·36 · x⁴·x · y⁶·y)
The bold things are perfect squares, so take their square roots
and write those outside of the square root sign.
= 2 · √(6·36 · x⁴·x · y⁶·y)
= 2 · 6 · x² · y³ · √(6 · x · y)
= 12 x² y³ √6xy .
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Middle picture:
How do you take the 8th root of something raised to a power ?
Just divide the power by 8 .
⁸√(p²⁰· q²⁹ · r¹¹)
= ⁸√(p¹⁶·p⁴ · q²⁴·q⁵ · r⁸·r³)
= p² q³ r ⁸√p⁴ q⁵ r³
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Picture on the right:
-3i (6 + 2i)
= (-3i)·(6) + (-3i)·(2i)
= -18i + -6i²
If ' i ' = √-1 , then i² = -1 .
-18i + -6i²
= -18i + -6(-1)
= -18i + 6 .
Make it a little bit neater. Factor out the ' 6 ':
-18i + 6
= 6·(-3i + 1) .
