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2 years ago

Damon works 32 hours per week and earns $10.75 per hour.

Mathematics

1 answer:

balu736 [363]2 years ago

7 0

B. Find the exact number of earnings

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Consider a fishery in which harvesting is taking placeat a constant rateh. The population at the fisherywill be modeled by

Mice21 [21]

Answer:

The general solution to this differential equation is $P(t) = \frac{Ke^{kt} + h}{k}$

Step-by-step explanation:

We are given the following differential equation:

$\frac{dP}{dt} = kP - h$

Solving by separation of variables:

$\frac{dP}{kP-h} = dt$

Integrating both sides:

$\int \frac{dP}{kP-h} = \int dt$

On the left side, by substitution, u = kP - h, du = kDp, Dp = du/k. Then

$\frac{1}{k} \ln{kP-h} = t + K$

In which K is the constant of integration.

$\ln{kP-h} = kt + K$

$e^{\ln{kP-h}} = e^{kt + K}$

$kP - h = Ke^{kt}$

$kP = Ke^{kt} + h$

$P(t) = \frac{Ke^{kt} + h}{k}$

The general solution to this differential equation is $P(t) = \frac{Ke^{kt} + h}{k}$

7 0

2 years ago

Solutions to x^2 -2 = x

Andrei [34K]

X^2-2=x
x^2-2+x=0
x^2+x-2=0
(x+2)(x-1)=0
Therefore, x+2=0 or x-1=0
Hence, x=-2 or x=1
Solutions= -2 or 1

4 0

2 years ago

-2(x+1)+6x<-14<br>I need help

jeka57 [31]

Answer:

x<-3

Step-by-step explanation:

-2(x+1)+6x<-14

Distribute

-2x-2 + 6x < -14

Combine like terms

4x -2 < -14

Add 2 to each side

4x-2+2 < -14+2

4x < -12

Divide by 4

4x/4 < -12/4

x<-3

3 0

2 years ago

you 494 miles from home and you are driving forward home at an average of 45 mhp. How long will it take to drive home if you mai

ASHA 777 [7]

494/45= 10.978 hours

8 0

2 years ago

Please tell me which are correct

Marina CMI [18]

Second, third, and fifth

4 0

3 years ago

Read 2 more answers