A ball is dropped from a height of 128 feet. After each bounce it will rebound to a height that is 3/4 of the previous height. Find the total distance the ball has traveled (up and down) at the moment it bounces for the 8th time.

Q: A bacteria culture initially contains 1200 organisms and doubles in size every 2.3 hours. How large…

A:

Q: Suppose your dorm is 3.66m wide by 3.66m long by 2.71m high and has an air conditioner that…

A: It is given that dorm is 3.66m wide by 3.66m long by 2.71m high and has an air conditioner that…

Q: A ball dropped from a height of 15 ft begins to bounce vertically. Each time it strikes the ground,…

A: Topic - geometric Progressions

Q: A ball is dropped from a height of 30 meters. Each time it strikes the ground, it bounces up to 0.8…

A: Given that a ball is dropped from the height of 30 meters. Each time it strikes the ground, it…

Q: An oil company bores a hole 80m deep. Estimate the cost of boring if the cost is £30 for drilling…

A:

Q: Find the three-digit number that increases by 30% when each of its digits are increases by 1.

A:

Q: Suppose that a colony of bacteria starts with 1 bacterium and doubles in number every half hour. How…

A: To determine the number bacteria at the end of 24 hours.

Q: The number of bacteria doubles each day. How many bacteria will a sample have after 13 days if it…

A: We have to find how many bacteria will a sample have after 13 days if it starts with 40 bacteria.

Q: if elephant grass grow 2 2/3 inches a day how many inches will it grow in 6 days

A:

Q: The population of a city decreases by 3.4% per year. If this year’s population is 204,000 what will…

A:

Q: An athletes runs with velocity 11 km/h for 4 minutes, 14 km/h for the next 2 minutes, and 17 km/h…

A: Use the velocity distance formula given below, d=v×t where d is the distance, v is the velocity (in…

Q: A piece of paper is 0.05 inch. Each time the paper is folded into half, the thickness is doubled if…

A:

Q: The owner of an orange grove estimates that 150 orange trees per acre will each yield on average 800…

A: Given that the owner of an orange grove estimates that 150 orange treesper acre will each yield on…

Q: A biologist swabs a sample of bacteria onto a petri dish, and this original colony covers an area of…

A: Given that the original colony has an area of 2 mm2. Increasing rate = 4.5%= 0.045 per hour If the…

Q: The crime rate of a certain city is increasing by exactly 6% each year. If there were 400 crimes in…

A:

Q: The population of an organism triples every hour. BY what facor does the population grow in one-half…

A:

Q: The population of a bacteria colony triples every hour. If the initial population is 100 what is…

A: Given  initial population of bacteria = 100 Population of a bacteria colony increases triples every…

Q: There is a population of 18 bacteria in a colony. If the number of bacteria doubles every 177 hours,…

A: This is an exponential growth problem: A0ertGiven intital bacteria=18Given the bacteria dobules so…

Q: A population of cats multiplies 6-fold in 4 years. After 20 years, how many times as great is the…

A:

Q: A bacteria culture initially contains 2500 bacteria and doubles every half hour. Find the size of…

A: Population model

Q: The sum of two consecutive odd integers is −112. What is the largerinteger?

A:

Q: estimate the number of times that the sum will be 10 if the two number cubes are rolled 600 times.

A: Solution: Given that the sum is 10 The only 3 ways that two dice can sum to 10 are (4, 6), (5, 5),…

Q: A ball is dropped from a height of 128 feet. After each bounce it will rebound to a height that is…

A: The solution is :

Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

A:

Q: A population of 10 hamsters will triple every year. What will be the population after 7 years?…

A: Given: A population of 10 hamsters will triple every year…

Q: A long distance runner started on a course running at an average speed of 6 mph. One hour later, a…

A:

Q: A basketball is dropped from 30 feet. Each time it hits the ground, it rebounds 45% of its previous…

A: S=a+ar+ar^2.............  =a/(1-r)

Q: A swarm of locust can multiply ten-fold every 20 days. How many times as great is the swarm after…

A:

Q: An additional radio satellite dish is being added to an array of dishes. This newly added dish is 2…

A: Age of old dish = x+2 Age of new dish = x

Q: When a rubber ball falls, it rebounds to a height 60% of the height from which it dropped. If the…

A: SOLUTION-

Q: A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many…

A:

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

A:

Q: A rectangular piece of cookie dough has an area of 640 square inches. If the cookie was rolled out…

A:

Q: An elevator went from the bottom to the top of a building 140m high, remained there for 24 seconds,…

A:

Q: A tomato plant that is 5 inches tall when first planted in a garden grows by 50% each week during…

A:

Q: A super bouncy ball is dropped from a height of 30 feet.  Each time the ball bounces, it bounces to…

A: Given: A super bouncy ball is dropped from a height of 30 feet. Each time the ball bounces, it…

Q: A total of $11000 is invested, part of it at 6.8% and the rest at 8.2%. Thetotal interest after one…

A: Let $x invested in 6.8% and (11000-x) invested in 8.2% So total interest earned is: 6.8% of x + 8.2%…

Q: There is a population of 900 bacteria in a colony. If the number of bacteria doubles every 279…

A:

Q: A bacteria culture initially contains 1500 bacteria and doubles every half hour. What will the size…

A: Given Information: A bacteria culture initially contains 1500 bacteria and doubles every half hour.…

Q: If Ben invests $3500 at 4% interest per year, how much additional money must he invest at 5% annual…

A: Let x be additional money invested. Use the appropriate formula of simple interest each year equal…

Q: A culture of bacteria doubles every 2 hours. If there are 500 bacteria at the beginning, how many…

A: The initial population, P0=500Time of growth, t=24 hourstime of doubling, d=2 hours

Q: a person plans to invest three times as musch in an account at 3.1% interest as in account at 13%…

A: A person plans to invest three times as much in an account at 3.1% interest as in account at 13%…

Q: In a racing contest, there are 240 cars which will have fuel provisions that will last for 15 hours.…

A: Given: Number of cars =240 with full fuel Every 15 hours 8 cars withdraw from the race

Q: Ten strands of healthy bacteria are placed on a petri dish and are allowed to freely multiply.…

A:

Q: A fast-growing strain of bacteria doubles in population every 20 minutes. A laboratory has a culture…

A: Given data: The time after which the population of the bacteria doubles is t=20 min=1/3 h. The…

Q: A ball is dropped from a height of 15 ft and bounces 77 % of its previous height on each bounce. How…

A:

Q: A frog is at the bottom of a ten feet well. Each day it crawls 2 feet and loses its grip and slides…

A: See below

Q: The ball dropped from a height of 10 meters bounces 2/3 of the previous one in each bounce. What is…

A: Total distance traveled by the ball; The ball drops from 10 meters; and bounces to 2/3*10 meters and…

Q: The count of a bacteria in a culture was 5 initially and doubles every 30 minutes. Find the size of…

A:

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…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.