We breathe about 15 times per minute, and a hummingbird flaps its wings about 3,000 times per minute. So a rate of 50,000 copies per minute would truly take our breath away and be faster than we could discern with our eyes. Is the 50,000 figure right?

Q: To increase her endurance, a speed skater decides to include running as part of her workout. During…

A:

Q: Alice needs one hour to do a certain job. Betty, her older sister, can do the same job in 30…

A: Alice needs one hour(60 minutes) to do a certain job. So Alice does 1/60 of work in one minute .…

Q: A man travelled by car for 3 days. He covered 480 miles each day. On the first day he drove for 10…

A: Solution is given:

Q: One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who…

A: Given : A woman who has $145,800 to invest would like to have an income of $20,020 per year from her…

Q: A pipe can full the tub alone in 10 minutes time, another can do it in 20 minutes and drain if…

A: The first pipe can fill the tub in 10 minutes, Therefore, in one minute, the pipe can fill 110 of…

Q: A person invested $6800 for 1​ year, part at 7​%, part at 10​%, and the remainder at 15​%. The total…

A: Let amount a was invested at 7% Let amount b was invested at 10% Let amount c was invested at 15%

Q: At a dairy plant, a milk tank can be filled in 8 hours (using the in-valve). Using the out-valve,…

A:

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: Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 8 percent…

A: Let amount invested at rate 8% be p. It is given that amount invested in lower yielding account is…

Q: A retired couple have $300,000 to invest and want to earn $30,000 per year in interest. The safer…

A: It is given that principal amount=$300000

Q: A 160​-lb person who runs at 6 mph for 1 hr burns about 40 calories. The same​ person, walking at 4…

A: Let x be the number of calories generated per pound. let y be the calories generated per minute of…

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: At the end of spring break, Lucy left the beach and drove back towards home, driving at a rate of 40…

A: Speed of Lucy = 40 mph Speed of Lucy's Friend = 50 mph

Q: An investor invests 5000 dollars at 10% and the rest at 5%. How much was invested at 5% if the yield…

A: An investor invests 5000 dollars at 10%, which is one-fifth of the amount.

Q: A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At…

A: In order to average 40 mph on a 20-mile trip, the time histotal trip must take is found by the…

Q: airplane flying to the Dominican Republic has an altitude of 31,000 feet and is ascending at a…

A:

Q: A manufacturer has a monthly fixed cost of $175,000 and a production cost of $20 for each unit…

A: The cost function C(x) = 20x + 175000 The revenue function R(x) = 32x The profit function P(x) =…

Q: How many hours would it take to breathe one billion times if you were breathing at a rate of 12…

A:

Q: Bill and Brandon are downhill mountain-biking. Bill starts 500 feet ahead of Brandon and bikes at a…

A: Suppose, it will take t seconds for Brandon to catch up Bill So, at a rate of 42 feet/sec , Brandon…

Q: You start your trip going 60mph, but you end up getting a flat tire. You change the flat, and now…

A: Let distance travel with 60 mph = x miles Distance travel with 45 mph = y miles Total distance…

Q: Two men are traveling in opposite directions at the rate of 20 and 30 miles an hour at the same time…

A: Let after x hours they will be 300 miles apart. We are going to use the formula: Distance = Speed *…

Q: If he reduces his caloric intake to 200 kcals/day and walks at 3mph with 10% grade on the treadmill…

A: given target weight is 187 lb.  And currently weight 220 lbs  We have to find how many weeks would…

Q: A train leaves Boston at 2:00 PM. A second train leaves the same city in the same direction at 6:00…

A: To solve the following problem

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: Suppose you have a clothes dryer that uses 4000 watts of power and you run it for an average of 1…

A: Given :             Power P = 4000 watts             1 kilowatt/hour  = 14cent

Q: A car that originally cost $3,668 in 1955 is valued today at $62,125 if in excellent condition,…

A:

Q: An 8.5 metre-wide pool is 4.5 times longer than it is wide.   If you were to swim diagonally across…

A: To find the Distance traveled when travelled diagonally after 6 times

Q: If I take 50 calls a day and one of the calls last 40 minutes . What would the average time on the…

A: The arithmetic average of a data set can be calculated by dividing the sum of observations with the…

Q: Susan invests 33 times as much money at 10% as she does at 8%. If her total interest after 11 year…

A: According to question given Susan invests 33 times as much money at 10% as she does at 8%.After 11…

Q: A car that originally cost $3,943 in 1955 is valued at $64,125 if in excellent condition. This is 2…

A:

Q: A train leaves Toronto at 2 p.m. A second train leaves Toronto at 5 p.m. and follows the first…

A:

Q: A person invested $6700 for one year, part at 8%, part at 10%, and the remainder at 12%. The total…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: On Monday, a company stock closed at a price of $30.80 per share. On Tuesday, it increased by $1.20…

A:

Q: A man invests his savings in two accounts, one paying 4% and the other paying 5% simple interest per…

A: Choose a variable and form the equation then solve for that variable.

Q: In 2000 the population of the United States was 280 million and the number of vehicles was 200…

A: Given: In  2000 population 280 million r=1% and Vehicles was  200 million growth rate r=3% To find…

Q: A person invested $6700 for 1 year, part at 4%, part at 9%, and the remainder at 12%. The total…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A person invested $6300 for 1 year, part at 8%, part at 9%, and the remainder at 15%. The total…

A:

Q: A recent college graduate has job offers for a sales position in two computer firms. Job A pays…

A: Given Job A pays $50,000 per year + 10% commission Job B pays $40,000 per year +20% commission

Q: how long will it take for her to have enough money for her project?

A: The compounded interest formula is expressed as A=P1+rnnt Where, P is initial amount, r is the…

Q: A person invested $7600 for 1 year, part at 8%, part at 9%, and the remainder at 14%. The total…

A: Total money invested = 7600let x be amount invested at 8%y be the amount invested at 9%z be the…

Q: How many years would it take to breathe one billion times if you were breathing at a rate of 12…

A: We can use the simple arithmetic in order to solve the problem.

Q: Sam earns a base rate of £50.00 per day for four hours work. Any hours worked over four hours are at…

A:

Q: Ahmed can run 4.3 m/s and Khaled can run 6.7 m/s. Ahmed is given a head start of 24 meters since he…

A:

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: A woman invests $35,000, part at 8% and the rest at 9 1 2% annual interest. If the 9 1 2%…

A: Assume  amount invested at 8% = x  amount invested at 9 1/2% = y Now we will write two equations and…

Q: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

A:

Q: A long distance call costs x cents for the first minute and y cents for eachadditional minute. How…

A: Given that the first minute costs = x cents

Q: An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 3000 feet…

A: Question is solved.

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…