Salt flows into the tank at a rate of
(5 lb/gal) * (6 gal/min) = 30 lb/min
The volume of solution in the tank after t min is
600 gal + (6 gal/min - 12 gal/min)*(t min) = 600 - 6t gal
which means salt flows out at a rate of
(A(t)/(600 - 6t) lb/gal) * (12 gal/min) = 2 A(t)/(100 - t) lb/min
Then the net rate of change of the salt content is modeled by the linear differential equation,
Solve for A:
Multiply both sides by the integrating factor, :
Integrate both sides:
The tank starts with no salt, so A(0) = 0 lb. This means
and the particular solution to the ODE is
Molly Flynn, an accountant at Coor Company, earned $109,400 from January to June. In July, Molly earned $4,600. Assume a tax rate of 6.2% for Social Security on the first $118,500 and a Medicare rate of 1.45%. How much is the tax for Social Security and Medicare?
Mike Goldsmith is paid $6.40 per hour. Last week he worked 40 hours, and this week 60 hours. Calculate Mike's pay for each week (time and a half over 40 hours):
Jenny earns $700 per week, plus 6% of sales in excess of $5,700. If Jenny sold $15,791 last week, what were her weekly earnings?
Robin Small pays her three workers $180, $450, and $615, respectively, per week. Calculate what Robin will pay at the end of the first quarter for (A) state unemployment and (B) federal unemployment. Assume a state rate of 5.7%. Federal is .8%. Base is $7,000.
Andrew Buckner earns $1,680 per week. He is married and claims three exemptions. What is Andrew's federal income tax? Use the percentage method
Sonny Siebert earned $485,000 a year as a rookie pitcher for the Cleveland Indians. Assuming a tax rate of 6.2% for Social Security up to $118,500 and Medicare tax of 1.45%, how much did Sonny pay in FICA taxes as a rookie pitcher?
Dan Zabrowski pays three employees $220, $475, and $600, respectively, per week. Calculate what Dan pays at the end of the first quarter for (A) SUTA at 5.7% and (B) FUTA at .8%. The base is $7,000:
Jim Push, a manager for Marvy Co., has weekly earnings subject to deductions for Social Security, Medicare, and FIT. Before this payroll, Jim is $500 below the maximum level for Social Security. What will his net pay be if he earns $760? Jim is married and claims one exemption. Use the percentage method. Assume a FICA tax rate of 6.2% on $118,500.
Jim Dashinger is a salesman who receives a $100 draw per week. He receives a 12 1/2% commission on all sales. Sales for Jim for the month were $28,000. What did Jim receive after taking the draw into consideration? (Assume a five-week month.)
Joyce Meadow pays her three workers $160, $470, and $800, respectively, per week. Calculate what Joyce will pay at the end of the first quarter for (A) state unemployment and (B) federal unemployment. Assume a state rate of 5.6%. Federal is .6%. Base is $7,000.
John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.
John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.
John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.
John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.
John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.
0 10 3
10 20 4
20 30 6
30 40 4
40 50 3
Find the proportion of selling times in the sample that are less than 20 days claims that it can sell a detached, residential house faster than any other realty company.
Answer:
0.35
Step-by-step explanation:
Given the data:
Selling Time___ Frequency
0 10____________3
10 20__________ 4
20 30__________ 6
30 40__________ 4
40 50__________ 3
Proportion of selling time in sample above that are less Than 20 days :
Taking the sum of the frequency :
Hence, total frequency = (3 + 4 + 6 + 4 + 3) = 20
Selling time which is less Than 20 days :
(0 - 10) = 3
(10 - 20) = 4
Total = (3 + 4) = 7
Proportion = selling time less Than 20 days / total frequency
= 7 / 20
= 0.35
Select all numbers that are in the domain.
Answer:
-3 -3 -1 1
Step-by-step explanation:
give me five stars and ill tell you
Answer: Answer: -3,-1, and 1.
Step-by-step explanation: You are given the relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} The domain of the relation are all possible inputs and the range of the relation are all possible outputs. So, the inputs are : -3,-1,1; and the outputs are : -2,0,2. As a result, the domain is : -3,-1,1; and the range is : -2,0,2.
Answer
2(7x + 3) - x
= 13x + 6
Explanation
2(7x + 3) - x
= 14x + 6 - x
= 14x - x + 6
= 13x + 6
Hope this Helps!!!
c. What is the probability that the number of members in a typical household in India is strictly between 2 and 5? (Round your answer to 2 decimal places.)
Probability
The probability that the number of members in a typical household in India is less than 5, greater than or equal to 5, and strictly between 2 and 5 are 0.54, 0.46, and 0.43 respectively
Given the probability distribution for the household size in India as shown;
X 1 2 3 4 5 6 7 8 Total
P 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 1.00
a) The probability that the number of members in a typical household in India is strictly less than 5 is given as:
P(X < 5) = P(X=1) + P(X=2) + P(X=3) + P(X=4)
P(X < 5) = 0.02+ 0.09 + 0.18 + 0.25
P(X < 5) = 0.54
b) The probability that the number of members in a typical household in India is greater or equal to 5 is given as:
P(X ≥ 5) = P(X=5) + P(X=6) + P(X=7) + P(X=8)
P(X ≥ 5) = 0.20 + 0.12 + 0.08 + 0.06
P(X ≥ 5) = 0.46
c) The the probability that the number of members in a typical household in India is strictly between 2 and 5
P(2 < X < 5) = P(X=3) + P(X=4)
P (2 < X < 5) = 0.18 + 0.25
P (2 < X < 5) = 0.43
Hence the probability that the number of members in a typical household in India is less than 5, greater than or equal to 5, and strictly between 2 and 5 are 0.54, 0.46, and 0.43 respectively
Learn more on probability distribution here: brainly.com/question/24756209
Answer:
0.54,0.46,0.43
Step-by-step explanation:
Given that India is the second most populous country in the world, with a population of over 1 billion people.
The pdf of household size say X in India varies from 1 to 8.
The distribution is shown as follows
X 1 2 3 4 5 6 7 8 Total
P 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 1.00
a) the probability that there are less than 5 members in a household in India
=
=
b. the probability that there are 5 or more members in a typical household
in India
=
c) the probability that the number of members in a typical household in India is strictly between 2 and 5
Answer: That’s actually mode
Step-by-step explanation:
Mode- the value that appears most often in a set of data.
Median- the middle number in a list of numbers ordered from lowest to highest.
Mean- the total of all the values, divided by the number of values.
Range- the difference between the lowest value and the highest value.
Answer:
mode
Step-by-step explanation: