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3 years ago

5

Jim worked 40 regular hours last week plus 9 overtime hours in which he was paid 1 ½ times his hourly rate. His gross pay was $1

,842.
a. What was his hourly rate?
b. What was his hourly overtime rate?

1 answer:

BabaBlast [244]3 years ago

6 0

Regular hours=40 Over time=9×1.5=13.5 Total hours=53.5 Hourly rate=1,842÷53.5=34.43 Overtime rate=34.43×1.5=51.645

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AURORKA [14]

Answer:

Simplifying

6r + r + -5r = 0

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2. Calculate an expression for dy/dx and d2y/dx2 in terms of t if the parametric pair is given as tan(x) = e^at and e^y = 1 + e^

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I assume a is a constant. If tan(x) = exp(at) (where exp(x) means eˣ), then differentiating both sides with respect to t gives

sec²(x) dx/dt = a exp(at)

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sec²(x) = 1 + tan²(x)

Then we have

(1 + tan²(x)) dx/dt = a exp(at)

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If exp(y) = 1 + exp(2at), then differentiating with respect to t yields

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(1 + exp(2at)) dy/dt = 2a exp(2at)

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By the chain rule,

dy/dx = dy/dt • dt/dx = (dy/dt) / (dx/dt)

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dy/dx = (2a exp(2at) / (1 + exp(2at))) / (a exp(at) / (1 + exp(2at))

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dy/dx = f(t)

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d²y/dx² = df/dx

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d²y/dx² = (df/dt) / (dx/dt)

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2 years ago

You deposit $3000 into an account that pays 4.8% interest, compounded monthly. A) What is the value of the account after 5 years

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Answer:

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t= ln(A/P) / r

substitute

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4 years ago