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sergeinik [125]
4 years ago
8

- Brady deposited $600 into a new com

Mathematics
1 answer:
NikAS [45]4 years ago
8 0

Answer:

Brady will have earned $75 in interest.

Step-by-step explanation:

The interest formula is i = p*r*t, where p is the principal amount, r is the interest rate as a decimal fraction, and t is the number of years.

Here, i = $600(0.025)(5 yr) = $75.

Brady will have earned $75 in interest.

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A weight suspended by a spring vibrates vertically according to the function D D given by D(t)=2sin(4π(t+18)) D ( t ) = 2 sin (
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Answer:

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Step-by-step explanation:

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This is the time at which this occurs.

To find instantaneous rate of change, we differentiate D(t) and plug in this t we found. Remembering that d/dt (Sin t) = Cos t

D(t)=2Sin (4\pi(t+18))\\D(t)=2Sin(4\pi t + 72\pi)\\D'(t)=2Cos(4\pi t + 72\pi)(4\pi)

Now putting t:

D'(t)=2Cos(4\pi t + 72\pi)(4\pi)\\D'(\frac{\frac{\pi}{6}-72\pi}{4\pi})=2Cos(4\pi (\frac{\frac{\pi}{6}-72\pi}{4\pi}) + 72\pi)(4\pi)\\=8\pi Cos(\frac{\pi}{6})\\=21.75

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See photo

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