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8090 [49]
3 years ago
10

2x to the fourth power + 5x squared + 3, factored

Mathematics
2 answers:
Murljashka [212]3 years ago
8 0
We want to factor:
2x^4+5x^2+3

This may seem tricky because of the high powers, but remember that x^4=(x^2)^2. Then we can factor it as:
2x^4+5x^2+3=(2x^2+3)(x^2+1)
Alexeev081 [22]3 years ago
8 0
(x squared+1)(2x squared+3)
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exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

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A = $30,541.83

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t = 30

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Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

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