A ball dropped from a height of 15 feet begins to bounce. Each time it strikes the ground, it returns to 2/5 of its previous height. What is the total distance traveled by the ball if it bounces infinitely many times? Total distance=

Q: Find three consecutive even intergers such that the product of two smaller numbers is the same as…

A: Let the consecutive even integers be  x, x+2,x+4, where x  is even , then we use the given condition…

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: Find three consecutive even integers such that the sum of the squares of the first two is four less…

A: Let the three consecutive even integers are n , n+2, n+4

Q: An engineer and his helper can do a certain job in 5hrs. On a given day, they work together for 2hrs…

A:

Q: Suppose the average yearly salary of an individual whose final degree is a masters is $45 thousand…

A:

Q: Suppose a hiker finds himself in a forest 4 miles from the nearest point on a straight road. He…

A:

Q: Dog A barks every 12 minutes while Dog B barks every 16 minutes. If they bark together at midnight,…

A: Please find attachment for the details solution

Q: A man invested $20,000 in the bank. Apart ofit was invested at 5% and the rest at 10%. The total…

A: Introduction :Given , amount invested in the bank = $20,000investment rates are given as 5% and…

Q: How many workers will be needed to complete a task in 8 days, given that 4 workers can complete the…

A:

Q: A basketball is tossed vertically into the air at a height of 50 feet. Everytime it strikes the…

A: given: A basketball is tossed vertically into the air at a height of 50 feet.  Everytime it strikes…

Q: A company pays $20 per hour for up to 5 hours of work, and $30 per hour for overtime hours (hours…

A: The Expression for overtime hours is  =  x-5   The Expression for Total earning in overtime hours is…

Q: The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

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

A:

Q: Suppose computer A runs an application 3 times as fast as computer B runs it. If computer B runs the…

A: Given that computer A runs 3 times faster than computer B So, A=B/3 Ans also given that B takes 24…

Q: If ​$9000 is invested at 6​% annual simple​ interest, how much should be invested at 9​% annual…

A:

Q: Find the minimum sum of two positive numbers (not necessarily integers) whose product is 200.

A:

Q: town has a population of 15,000 and grows at 7% every year. What will be the population after 10…

A: Explanation of the answer is as follows

Q: The number of cells in a tumor doubles every 4.5 months. If the tumor begins with a single​ cell,…

A:

Q: A ball is thrown upward so that it reaches a height of 9 feet and then falls to the ground. When it…

A: Answer and explanation is given below...

Q: Find the smaller of two consecutive integers such that twice the smaller exceeds the larger by 10.

A: We can solve the problem by taking the smaller one as x and the larger one as x+1.

Q: Find four consecutive even integers so that the sum of the first three is 2 more than twice the…

A: Let's assume first four even integers are 2m, 2m+1, 2m+2, 2m+3 Now, if sum of the first three is 2…

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: Find three consecutive odd intergers such that the product of the two larger numbers is 18more than…

A: To form the equation satisfied by the required integers  and therby solve for them

Q: The sum of the first 100 positive whole numbers is 5050. What is the sum of the first 100 positive…

A:

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

A:

Q: Two inlet pipes can fill an empty swimming pool in 3 days and 6 days, respectively. A pump can empty…

A: Two inlet pipes can fill an empty swimming pool in 3 days and 6 days, respectively. A pump can empty…

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

A: SOLUTION-

Q: The bacteria in a petri dish grow in a manner such that each day the number of bacteria doubles. On…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

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

A:

Q: Find three consecutive odd integers such that the product of the first two is 52 more than the third…

A: Let the three consecutive odd integers are  n-2, n and n+2 So as per question, product of first two…

Q: the sum of the ages of Juman ans Nina is 112 years ago. 6 years ago, Juwan age was 4 time Nina's…

A: Using given information we will solve the question.

Q: Suppose the average yearly salary of an individual whose final degree is a master's is $34 thousand…

A: We have to make linear equations to solve the problem

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

A: Given 1 custodian cleans a suite of offices in 5 hours. When a second worker is asked to join the…

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: The 24th term of an AP is twice its 10th term .Show that its 72th term is 4 times its 15th term

A:

Q: find three consecutive odd integers such that the sum of the first and the second is sixteen more…

A: Given:The three consecutive integers are odd numbers.The sum of the first two consecutive odd number…

Q: Assume that the ABC company has sales of 1950000 dollars and it's sales are growing at a rate of…

A:

Q: 4) THE SUm OF TWO CON SECUTIVE EVEN INTEGENS IS LECS THAN 95. FIND THE NWMBES.

A: We have to find consecutive even integers:

Q: A hotel with 136 rooms is filled to capacity when the room charge is $90 per night. For each $3…

A:

Q: Find three consecutive odd integers such that four times the middle integer is two less than the sum…

A: We have to find

Q: Find two integers whose sum is 140 and whose product is as large as possible.

A: Topic=Algebra Two integers are 70 and 70.

Q: the sum of the first 100 positive even numbers

A: Sum of first n natural numbers is given by n(n+1)2

Q: A new car is purchased for $40,000 and over time its value depreciates by one half every 3 years.…

A:

Q: Suppose the average yearly salary of an individual whose final degree is a masters is $55 thousand…

A: This question can be solved using the concept of linear equation in two variables.

Q: Suppose that the number of bacteria in a colony triples every hour If 100 bacteria are used to begin…

A: Given: 100 bacteria  time =10 hours

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

A:

Q: A company pays $20 per hour for up to 5 hours of work, and $30 per hour for overtime hours (hours…

A: Given x is the total hours worked. And beyond 5 hours it will be overtime hours.

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

A:

Q: The sum of the first n positive odd integers is 64. Find n.

A: Given sum of first n positive odd integers is 64. We know difference between odd integers is 2 and…