Basic Math question and answers for August 17, 2024
- Q Which of the following is a feature of the pattern? Select all that apply.A. All of the house numbers are even.B. All of the house numbers are odd. C. The...
- Q At the beginning of April, a colony of ants has a population of 5,000 ants.a. The colony decreases by 1/5 during April. Write an expression for the ant population at...
- Q A laptop computer is purchased for $4900. Each year, its value is 80% of its value the year before. After how many years will the laptop computer be worth$1000 or...
- Q The population of a certain bacteria can be modeled by the function P (t) = 2,000(1.034)t,where t represents the number of hours after an experiment has started. What does 2,000represent...
- Q State if the sequence is arithmetic, geometric, or neither. 1, 5, 35, 175, 875...a. Arithmeticb. GeometricC. Neitherd. Doge to the moonabcd
- Q Explain how to find the domain of the geometric sequence where a? = 2 and the common ratio is 3.
- Q The limit of the difference quotient, -21, from Part 1 above is (select all that apply).A. (?2).B. the slope of the tangent line to the graph of y = f(x)...
- Q You are beginning a new job. Your employer gives you the choice of twosalary options.Option 1: You earn yearly payment of $39,368 that increases by $1,010 every year.Option 2: You...
- Q A company currently sells 905 units per year of a particular product, and sales are growing at a rate of 8% each year. How many years will it be until...
- Q Question 1 (13 points total): Consider the linear homogeneous differential equationy"-xy'-3xy=0:a) (5 pts) For a series solution y=a, +qx+a?x+...+?x+, find a recurrence relation forthe coefficients a A?, A?, A
- Q Select the correct answer.Bacteria begins to grow on the water's surface in a non-operational swimming pool on September 20. The bacteria grows and covers the water's surface in such a...
- Q Mia baked a very large apple pie that she cuts into slices to share with her friends. Thesmallest slice is cut first. The volume of each successive slice of pie...
- Q Kendrick's hair was 10 centimeters long after his last haircut, and it grows 4 centimeters every year. Kendrick last got his hair cut 8 years ago. How long is it...
- Q A magazine had 4000 subscribers at the end of the year 2004. The number of subscribers increased by 10% each year as compared with the previous year. Which of the...
- Q In 2016, 5,200 parking permits were issued in a city. The number of parking permits increases by 5% every year. Let y represent the number of parking permits issued xyears...
- Q If 26200 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding...
- Q Imagine you are building a staircase with cubes. To build a staircase with one step, one cube is needed. To build a staircase with two steps, three cubes are needed....
- Q The population of Washington has been decreasing exponentially since the major employer left town. After 8 years the population was 68,532 and after 9 years it was 65,791.Write an equation...
- Q 5. A sequence is defined by a? = 1, an+1 =1/2(an+3). Which of the following statements istrue?(a) {an} is increasing and bounded above by.(b) {an} is decreasing and bounded below...
- Q The bear population has a growth rate of 1.02. There are 1573 bears this year. Write afunction that models the bear population. How many bears will there be in 10...
- Q Determine if the sequence below is arithmetic or geometricand determine the common difference / ratio in simplestform. This is common difference common ratio20, 15, 10, ...
- Q Jack is a teacher and takes home 86 papers to grade over the weekend. He can grade at a rate of 11 papers per hour. Write a recursive sequence to...
- Q The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).312, 306, 300, ...Find the 47th term.
- Q Which recursive sequence would produce the sequence10, -25, 45, ...?a? = 10 and an = -3an-1 + 5a? = 10 and an =-5an-1-2a? = 10 and an = -2an-1-5a? =...
- Q You rent an apartment that costs $900 per month during the first year, but the rent is set to go up $90 per year. Write a recursive formula to show...
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