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2 years ago

Someone help me with this

Mathematics

1 answer:

Genrish500 [490]2 years ago

4 0

Answer:

$0.03

Step-by-step explanation:

The 1.4% interest rate given is an annual rate. So, the daily interest rate is 1/365 of that value. The first day's interest is 1/365 of 1.4% of $720:

1/365 × 0.014 × $720 ≈ $0.0276 ≈ $0.03 . . . . first day's interest

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Step-by-step explanation:

For this case we want to find the following integral:

$\int_{-\infty}^{-5} x^{-2}dx$

And we can solve the integral on this way:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}$

$\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}$

And if we evaluate the integral using the fundamental theorem of calculus we got:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}$

Because the $\lim_{x\to -\infty} \frac{1}{x} =0$

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