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nikdorinn [45]
3 years ago
7

Anthony deposited $14,000 with a bank in a 5-year certificate of deposit yielding 6% compounded daily. Find the compound amount

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Answer:

Total = 14,000 * 1 + (.06 / 365) ^365*5

Total = 14,000 * 1.0.000164383561643836^1,825

Total = 14,000 * 1.3498255274

Total = 18,897.56

Step-by-step explanation:

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The angles of a triangle are 128 degrees 5x + 10 degrees + 9x degrees what is the value of x
olganol [36]
All the angles in a triangle equal 180 degrees so 128 + (5x+10) + 9x = 180

Group the like values to get 138 + 14x = 180

Subtract 138 from 180 to get 14x = 42

Divide 42 by 14 to get x = 3

Therefore x = 3
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3 years ago
I'm stuck on this question, any ideas? thanks
True [87]

Answer:

\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}=-1/36

Step-by-step explanation:

So we have the limit:

\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}

Let's remove the fractions in the denominator by multiplying both layers by (6+x)(6). So:

\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}\cdot (\frac{(6+x)(6)}{(6+x)(6)})

Distribute:

=\lim_{x \to 0} \frac{(6)-(6+x)}{x(6+x)(6)}

Simplify the numerator:

=\lim_{x \to 0} \frac{6-6-x}{x(6+x)(6)}\\=\lim_{x \to 0} \frac{-x}{x(6+x)(6)}

Both the numerator and the denominator have an x. Cancel:

=\lim_{x \to 0} \frac{-1}{(6+x)(6)}

Direct substitution:

= \frac{-1}{(6+0)(6)}

Simplify:

=-1/36

And that's our answer.

And we're done!

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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