The function fof(x) = 0.6 sin(2 pi over 5x) represents the velocity of air flow of normal breathing cycles, where x is measured and seconds. A cycle consists of inhaling, where air flow is positive, and exhaling where air flow is negative. The air flow is measure in liters per second. How long is one complete cycle and what will the airflow be in 150 seconds?

Step-by-step explanation:

f(x)=0.6sin(2πx/5)

f(x) > 0

=  0.6sin(2πx/5) > 0

=>   sin(2πx/5) > 0

=>   2πx/5 < arc sin (0)

2πx/5  = π

x = 2.5

At t = 150 sec

f(150)=0.6sin(2π150/5)

= 0.6sin(60π)

= 0

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

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step-by-step explanation:

i hope this : )