Solve the problem.A 2,000-L tank is initially filled with a copper sulfate solution with a concentration of 50 g/L. A copper sulfate solution with a concentration of 20 g/L flows into the tank at a rate of 8 L/min. The thoroughly mixed solution is drained from the tank at a rate of 8 L/min.(a) Write an initial value problem for the mass of the copper sulfate.(b) Solve the initial value problem.
A. (a) m'(t) = 0.004m + 160, m(0) = 50
(b) m = -39,950e0.004t + 320,000
B. (a) m'(t) = -0.004m + 20, m(0) = 50
(b) m = -39,950e-0.004t + 40,000
C. (a) m'(t) = -250m + 160, m(0) = 100,000
(b) m = 60,000e-0.004t + 320,000
D. (a) m'(t) = -0.004m + 160, m(0) = 100,000
(b) m = 60,000e-0.004t + 40,000
Answer: D
You might also like to view...
Draw the angle having the given radian measure.
A. 
B. 
Annual sales (in millions of units) of hand-held computers are expected to grow in accordance with the function
?
?
where 
is measured in years, with 
corresponding to 1997. How many hand-held computers will be sold over the 6-year period between the beginning of 1997 and the end of 2002?
?
A. 31.73 million
B. 31.84 million
C. 31.4 million
D. 31.68 million
Solve the problem.The quadratic function 
models the median, or average, age, y, at which U.S. men were first married x years after 1900. In which year was this average age at a minimum? (Round to the nearest year.) What was the average age at first marriage for that year? (Round to the nearest tenth.)
A. 1953, 36 years old B. 1960, 24 years old C. 1936, 49.7 years old D. 1960, 49.7 years old
Simplify.
+ 
- 
A. 12
B. 28
C. 
D. 