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anygoal [31]
3 years ago
9

Find the true balance:

Mathematics
1 answer:
lapo4ka [179]3 years ago
5 0

Answer:

D. $455.80

Step-by-step explanation:

True Balance = Bank Statement - Outstanding Checks

= $592.53 - ($49.80 + $86.93)

= $455.80

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X'+7x=5cos(2t), x(0)=0
Digiron [165]
The ODE is linear. Multiplying both sides by e^{7t} allows you to condense the left hand side as the derivative of a product.

x'+7x=5\cos2t
e^{7t}x'+7e^{7t}x=5e^{7t}\cos2t
\dfrac{\mathrm d}{\mathrm dt}\left[e^{7t}x\right]=5e^{7t}\cos2t

Integrating both sides with respect to t yields

e^{7t}x=5\displaystyle\int e^{7t}\cos2t\,\mathrm dt

The integral can be done by parts. You should get

e^{7t}x=\dfrac5{53}e^{7t}(7\cos2t+2\sin2t)+C
x=\dfrac5{53}(7\cos2t+2\sin2t)+Ce^{-7t}

With the given initial condition, you have

0=\dfrac5{53}(7+0)+C\implies C=-\dfrac{35}{53}

So the particular solution to the ODE is

x=\dfrac5{53}(7\cos2t+2\sin2t)-\dfrac{35}{53}e^{-7t}
7 0
4 years ago
Jamie has a sprinkler than covers a circular area with diameter 16 feet. What is the area of lawn that the
SSSSS [86.1K]

Answer:

64π or 201.0619298297

Step-by-step explanation:

Area of a circle: πr²

To find r, the radius of the circle, take the diameter (16) and halve it to get 8. You can now place 8 into the equation to get π8². Square 8 to get 64. You now now have π64, or 201.0619298297.

5 0
3 years ago
Due tonight help me out please
aleksley [76]

The average rate of change is the slope.

The slope is equal \frac{y2-y1}{x2-x1}, if we were to do that for each set of points, we get the slope is always 8.

Thus the average rate of change is 8.

4 0
2 years ago
20 PTS: Convert the following:
salantis [7]
A) 7 miles = 36,960 feet.
b) 22 cm. = 8.66 in.
c) 6 gallons = 768 ounces.
6 0
3 years ago
Evaluate the following expression. Round your answer to two decimal places.
RideAnS [48]

Answer: 2.18

Step-by-step explanation:

log(11)/log(3)=2.18

3 0
3 years ago
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