Answer:
fully simplified answer: x^2-2x+8
Step-by-step explanation:
Answer:
k= -0.2
Step-by-step explanation:
3+2(5k-3)=7 (original)
3+10k-6=7 (distribute 2 in (5k-3))
9+10k=7 (combine like terms 3+-6)
10k=-2 (subtract 9 on both sides to isolate k)
k=-0.2 (divide 10 on both sides to get you're answer/isolate k)
34-14 = t ( t = 10 ) hope that helped
Answer:
$9,812.29
Step-by-step explanation:
The amount in Jeremy's account can be computed using the compound interest formula.
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<h3>account value</h3>
The formula for the value of an account earning compound interest at annual rate r, compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
where P is the principal invested.
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<h3>formula application</h3>
When P=$8500, r=0.024, n=4, t=6, the formula becomes ...
A = $8500(1 +0.024/4)^(4·6) = $8500(1.006^24) ≈ $9812.29
There will be $9,812.29 in this account after 6 years.
Let's assume that the statement "if n^2 is odd, then is odd" is false. That would mean "n^2 is odd" leads to "n is even"
Suppose n is even. That means n = 2k where k is any integer.
Square both sides
n = 2k
n^2 = (2k)^2
n^2 = 4k^2
n^2 = 2*(2k^2)
The expression 2(2k^2) is in the form 2m where m is an integer (m = 2k^2) which shows us that n^2 is also even.
So this contradicts the initial statement which forces n to be odd.
