In a seminar, the number of attendees arriving doubles every 20 minutes. The first attendee came in at exactly 8 AM. The seating capacity of the venue was fully filled at 10 AM. At what time was the venue half full?  8:40 AM 9:00 AM 9:20 AM 9:40 AM

Q: The combined yearly interest for x dollars invested at 12% and y dollars invested at 9% is…

A: Combined interest is, 12100x+9100y=0.12x+0.09y

Q: A bank loaned out $11,500 part of it at the rate 10% annual interest, and the rest at 6% annual…

A: Suppose that X dollars are loaned at 10% and remaining at 6%.  now we will use the simple interest…

Q: At 12:00 noon, there were 250 bacteria present. By 4:00 pm, there were 474 bacteria. If the bacteria…

A:

Q: Kagura stayed at Figaro and ordered a cup of Frappuccino. When the coffee was served at around 8:15…

A:

Q: You invested $12,000, part of it in stock that paid 14% annual interest. However, the rest of the…

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Q: The birthday boy, excited by the inscription on the cake, tried to wolf down the whole thing.…

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Q: The battery of a cell phone is enough for 9 hours when the phone is off and 1.5 hours when the phone…

A: Let the battery of the cell phone lasts 9 hours when the phone is off. The battery lasts 1.5 hours…

Q: new homeowner purchases furniture worth $10,000, which depreciates at a constant rate of 7% every 2…

A: NOTE: Refresh your page if you can't see any equations. . the initial worth is $10000 sot ake…

Q: An investor has $40,000 dollars to invest. If part is invested at a 7% simple interest rate and the…

A: Given $ 40000 invested @ 7% and 11% to get final interest @ 10% We have to find the amount invested…

Q: A seismograph records the epicenter of an earthquake 50 miles away. A second seismograph. 10 miles…

A:

Q: A tank initially contains 50 gallons of brine, with 30 pounds of salt in solution. Water runs into…

A: This question is related to differrential equations, We will solve it using given information.

Q: A garden watering bucket has 3000 milliliters of water in it, but there is a hole that is leaking 18…

A: Given  bucket has water = 3000 ml every minute leaking water = 18 ml

Q: A 6000-seat theater has tickets for sale at $24 and $40. How many tickets should be sold at each…

A:

Q: Consider an object in a surrounding with a constant temperature of 25C. If the temperature of the…

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Q: Trent worked for 20 consecutive days, earning an average wage of $ 120 per day. During the first 12…

A: Given: The average wage is $120 per day The first 12 days the average wage is $124 per day Last 7…

Q: In a plant, if the time needed to produce the first unit is 13 hours and the reduction in time…

A: We will find the total production cost as following .

Q: A 5000- seat theater has tickets for sale at $24 and $40. How many tickets should be sold at each…

A:

Q: Two commuters leave the same city at the same time but travel in oppositedirections. One car is…

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Q: At 12:00 noon, there were 200 bacteria present. By 4:00pm, there were 379 bacteria. If the bacteria…

A:

Q: The developer of a housing development finds that the sale of the first house gives him a $250…

A:

Q: At LIU, 635 of the seniors are Physics major or Math major (or both). There are 100 senior Math…

A: let A and B be two overlapping sets then we have formula n(A∪B) = n(A)+n(B)-n(A∩B) here n means…

Q: A pump can pump out a tank in 11 hours. Another pump can pump out the same tank in 20 hours. How…

A: NOTE: Refresh your page if you can't see any equations. . A pump can pump out a tank in 11 hours.…

Q: A person invested $8300 for 1​ year, part at 4​%, part at 11​%, and the remainder at 14​%. The total…

A: The total amount invested is $8,300. It is given that the amount invested at 14% interest rate is…

Q: Phyllis invested $9,000, a portion earning a simple interest rate of  3 1 2%  per year and the rest…

A:

Q: In the year 2001, a company made $7.2 million in profit. For each consecutive year after that, their…

A:

Q: A bank loaned out $17000, part of it at the rate of 6% per year and the rest at $14% per year. If…

A: Since, it is given that a bank loaned out $17,000 out of which one part hasbeen loaned at the rate…

Q: The average monthly bill for wireless telephone subscribers from 1985 to 2008 can be modeled by…

A: Average monthly BillBx=-1.442x+99.674 →1Given Bx=$ 43.53

Q: a town has a population of 18000 and grows at 2% every year. what will be the population after 11…

A:

Q: Two movie theaters, UAI and UAII, start their movies at 6:00 P.M. The movie at UAI takes 75 minutes…

A: It is given that, UAI and UAII, start their movies at 6:00 P.M. The movie at UAI takes 75 minutes…

Q: In a murder investigation, a corpse was found by a detective at exactly 8 P.M. Being alert, the…

A:

Q: One custodian cleans a suite of offices in 5 hours. When a second worker is asked to join the…

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Q: Oil tanker can be emptied by the main pump in four hours and auxiliary pump can empty the tank in…

A: Given Oil tanker can be emptied by the main pump in four hours and auxiliary pump can empty the tank…

Q: A person invested $8000 for 1 year, part at 7%, part at 11%, and the remainder at 13%. The total…

A: We will evaluate this as shown below

Q: An inlet pipe on a swimming pool can be used to fill the pool in 47 hours. The drain pipe can be…

A: Assume volume of the pool be x. Volume filled by Inlet pipe PI in 47 hours = x So volume filled by…

Q: At the beginning of the year, a company was producing 480 pounds of cheese per week. In late March,…

A: Given : At the beginning of the year, a company was producing 480 pounds of cheese per week. In…

Q: An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in…

A:

Q: Two crooks rob a bank and flee to the east at 51 mph. In 30 minutes, the police follow them in a…

A: Consider the equation for the speed, distance and time. Let the time when the police overtake the…

Q: At midnight, with the temperature inside your house at 21°C and the temperature outside at –6°C,…

A: Model the problem using Newton's Law of cooling. dTdt=k-6-T Taking the time t= 0 when the furnace…

Q: If Ben invests $4000 at 4% interest per year, how much additonal money must he invest at 5(1/2)%…

A: Given: P = 4000 r = 4% = 0.04 t = 1 year n = 1 for one year

Q: A recipe calls for 2 tsp of salt, 4 tsp of pepper and 1 tsp of garlic powder. How much pepper and…

A: Given, A recipe calls for 2 tsp of salt, 4 tsp of pepper and 1 tsp of garlic powder  We have to find…

Q: Kagura stayed at Figaro and ordered a cup of Frappuccino. When the coffee was served at around 8:15…

A: The given information can be described in the table below: Time Temperature °C 8:15 PM 75…

Q: In a murder investigation, a corpse was found by a detective at exactly 8 PM. Being alert, the…

A:

Q: A person invested $6100 for 1​ year, part at 6​%, part at 10​%, and the remainder at 15​%. The total…

A: Given A person invested $6100 for 1​ year, part at 6​%, part at 10​%, and the remainder at 15​%.…

Q: A foundation invests $70,000 at simple interest, a part at 7%, twice that amount at 4%, and the rest…

A: Given, a foundation invests $70,000 at simple interest, a part at 7%, twice that amount at 4%, and…

Q: Alexis is traveling by train to a vacation spot that is 810 miles away. The train is traveling at 90…

A: We have to find the time taken in hours by Alexis to reach her destination from her current position…

Q: A family is coloring eggs and wants to make two shades of purple, “light purple” and “deep purple”.…

A: As per the given data, we will have the following:   Light purple Dark purple Total spoons blue…

Q: A 6000-seat theater has tickets for sale at $27 and $40. How many tickets should be sold at each…

A:

Q: A 5000​-seat theater has tickets for sale at ​$26 and ​$40. How many tickets should be sold at each…

A:

Q: A 6000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each…

A:

Q: A 6000 -seat theater has tickets for sale at $24 and $40. How many tickets should be sold at each…

A: Let x is the number of the first ticket ( $24 )  y is the number of the second ticket ( $40 )    A/Q…