then began to grow at a rate

Q: A store sells two kinds of candles, scented and unscented. The scented burn 1/12 inches in 20 mins.…

A:

Q: mountain climber descends at a rate of 20 meters per second. how far will he bescend after 6 second

A:

Q: David reads 40 pages of a book in 80 minutes. How many pages should he be able to read in 120…

A: It is unitary method.

Q: d) An 800-liter tank is half full of water is being filled with water pumped at the rate of 45…

A: We have, an 800-liter tank is half full of water and is being filled with water pumped at the rate…

Q: A total of $27000 is invested, part of it at 12% and the rest at 13%. Thetotal interest after one…

A: Let $x was invested in 12% so (27000-x) was invested in 13% After one year interest from 12% account…

Q: What would be the rate of increase of an island population of 1000 that has 30 births and 20 death?…

A: An island population of 1000 that has 30 births and 20 death. We need to calculate What would be the…

Q: At the beginning of spring, Caroline planted a small sunflower in her backyard. When it was first…

A:

Q: The number of bacteria in a certain culture was found to be 4 x 10° at noon of one day At noon the…

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Q: Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund. If the four of them work…

A: It is given that Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund.

Q: Mrs. Jackson traveled to a city 390 miles from his home to attend a meeting. Due to car trouble his…

A:

Q: The population of Watesville decreases at a rate of 1.6% per year. If the population was 62,500 in…

A: Given: Population in 2014, P = 62,500 Rate of decrease, r = 1.6% Population in 2020, Q = ?   Number…

Q: A total of $18000 is invested, part of it at 6% and the rest at 9%. The totalinterest after one year…

A: Let $x was invested in 6% and (18000-x) in 9% So total interest earned after 1 year is: 6% of x + 9%…

Q: The temperature of an ingot of silver is60°C above room temperature right now. Twenty minutes ago,…

A:

Q: S is 4 years older than J. 8 years ago, s was twice as old than J. What are the ages of S & J?

A: Let the age of S be x years, then the age of J is (x - 4) years, because S is 4 years older than J.

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: =3 Eli's airship flies at an airspeed of 35 mph, but he is currently flying into a very steady…

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Q: Devontre rode his bike uphill 5 miles and then back downhill. The rate at which Devontre traveled…

A: Let his uphill rate is = x mph So his downhill rate is = x+20  Distance= 5 miles in each case.

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

A:

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

A:

Q: A total of $15000 is invested, part of it at 8% and the rest at 11%. The totalinterest after one…

A: We are given, a total of $15000 is invested. Let us assume that x be the part which is invested at…

Q: A motorboat takes  5  hours to travel  200  kilometers going upstream. The return trip takes  4…

A:

Q: At the beginning of spring, Samantha planted a small sunflower in her backyard. When it was first…

A: Given: Samantha planted a small sunflower in her backyard. When it was first planted, the sunflower…

Q: A ship has wrecked and its crew of 300 men has been left stranded on a dessert island. The food will…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

Q: A total of $17500 is invested, part of it at 7.25% and the rest at 6.5%. Thetotal interest after one…

A: Let $x was invested in 7.25% and (17500-x) in 6.5%  So total interest earned is: 7.25% of x + 6.5%…

Q: The size of the beaver population at a national park increases at the rate of 5.1% per year. If the…

A: Given query is to find population of beaver after 4 years.

Q: Ana is five years older than Beth. In five years, the product of their ages is 1.5 times the product…

A: Given problem:- Ana is five years older than Beth. In five years, the product of their ages is 1.5…

Q: A woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs 2.5mi, for a…

A: Given:Let x be a running speedLet x+8  be a cycling speedTravel time=distancespeed

Q: It takes an ant farm 3 days to consume 1/2 of an apple. Una granja de hormigas necesita 3 días para…

A: Given: It takes an ant farm 3 days to consume 12 of an apple. Solve this question by the unitary…

Q: n a culture of yeast, the amount of active ferment grows at a rate proportional to the amount ... If…

A: Growth given in the problem has exponential growth. If the quantity growing exponentially is denoted…

Q: The temperature of an ingot of silver is60°C above room temperature right now. Twenty minutes ago,…

A: Given: The temperature of an ingot of silver is 60°C above room temperature. Also, the temperature…

Q: Ella's motorboat can travel 35mi/h in still water. If the boat can travel 6 miles downstream in the…

A: Given:-Speed of motorboat in still water                = 35mi/h

Q: Liana was 10 miles from home at 2 pm and 70 miles from home at 3:30 pm. What was her average rate of…

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Q: One end of a ladder 25 feet long slides down a vertical wall while the other end moves away from the…

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Q: temperature of the object decreases from 100°C to 90°C in 10 minutes, how much longer will it take…

A: Given values Temperature of the surrounding, To= 25 degrees In the first case Initial temperature…

Q: On average, it takes a chicken 30 days to produce 24 eggs.  At this rate, how many days does it take…

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Q: A college student takes the same number of credits each semester. She had 9 credits when she…

A: Given,          A college student takes the same number of credits each semester. She had 9 credits…

Q: during a 5 day week jesse spent 225 minutes driving in the car at this rate how many minutes will…

A: Here the time Jess spent driving in a 5 day week is given. So considering time that the car is…

Q: The number of water lilies at the lake is doubling each day. If they covered the whole lake in 24…

A: 23 days were needed to cover half of the lake.

Q: ) A telecom company estimates that 5 people send 1,000 text messages in a month. How many text…

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Q: A motorboat takes 5 hours to travel 100 miles going upstream. The return trip takes 2 hours going…

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Q: Stan and Hilda can mow the lawn in 30 min if they work together. If Hilda works twice as fast as…

A: From given information ,

Q: A company produces boxes that are 5 feet long, 4 feet wide, and 3 feet high. The company wants to…

A: Let the increased amount is x feet. So new dimensions are (5+x) feet , (4+x) feet , (3+x) feet

Q: Aman invested $20,000 in the bank. Apart of it was invested at 5% and the rest at 10%. The total…

A: total amount invested $20,000 and consider the time is 1 years for which the money is invested  Let…

Q: Blake is doing laps around a track. Blake can run 3 miles per hour faster than he can walk around…

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Q: A total of $⁢5000 is invested: part at 5% and the remainder at 15% How much is invested at each rate…

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Q: Mr. Joy drove 60 miles from city A to the city B at 40 mph. He then drove back to City A at a higher…

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Q: A boat man rows to a place 50 miles distant and back in 18 hours back, find that he can row 3 miles…

A: The rate of the stream = 1/2 ( a-b ) miles / hour where a is the speed downstream and b is the speed…

Q: Bob invests $14000, part at 6% per annum and the rest at 9% per annum. After one year, he had earned…

A: It is given that Bob invests $14000, part at 6% per annum and the rest at 9% per annum. After one…

Q: One end of a ladder 34 feet long slides down a vertical wall while the other end moves away from the…

A: Note:  According to our guidelines we are supposed to do only first question. Kindly repost other…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.