Given equations:
x+y = 4;
2x-3y = 3;
Matrix form would be:
![\left[\begin{array}{cc}1&1\\2&-3\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\3\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%261%5C%5C2%26-3%5Cend%7Barray%7D%5Cright%5D%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%3D%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%5C%5C3%5Cend%7Barray%7D%5Cright%5D%20)
-i
x+y = 4;
2x-3y = 3;
Matrix form would be:
-i
Marian can weed a garden in 3 hrs. Robin can weed the same garden in 4 hrs. If they work together, how long will the weeding tak
1 answer:
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Answer:
A)
At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.
At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.
B)
331.82 thousands of liters leak out during the first hour.
Step-by-step explanation:
The oil leakage rate, in thousand liters per minute, is:
A. At what rate, in thousands of liters per minute, is the oil leaking out
At t = 0:
This is r(0)
At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.
At t = 60:
This is r(60)
At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.
B. How many thousands of liters leak out during the first hour?
r(t) is in thousand liters per minute.
Each hour has 60 minutes.
So the answer to this question is the integral from 0 to 60 of r(t).
Integral of the exponential function
So
, from t = 0 to t = 60.
This is
331.82 thousands of liters leak out during the first hour.
Answer: She should budget $672.89 monthly next year for this service.
Step-by-step explanation:
Since we have given that
Amount he was able to save per month = $48.50
Total amount he spent for the year = $1254.89
Amount he saved for the year would be
Amount left from total would be
Hence, She should budget $672.89 monthly next year for this service.