Sequences & Series Questions and Answers

The area on a wall covered by a rectangular poster is 320 square inches. The length of the poster is 1.25 times longer than the width of the poster. What are the dimensions of the poster?

Below are the average high temperatures for each month in Baltimore, Maryland. Month Jan Feb March April May June July Aug Sept Oct Nov Dec Temp 43 46 55 66 75 84 88 86 79 68 57 47 a. Create a box-and-whisker plot for the data. b. What is the median temperature? c. 75% of the temperatures are below what value? How do you know? d. 75% of the temperatures are above what value? How do you know? e. What conclusions can you draw about the temperature in Maryland?

Jacob just started a running plan where he runs 7 miles the first week and then increases the number of miles he runs by 10% each week. If he keeps up this plan for 24 weeks, how many total miles would Jacob have run, to the nearest whole number?

Write the equation of the hyperbola centered at (2, - 7). The length of the vertical transverse axis is 10 and the length of the conjugate axis is 2.

When the price is $2.00 each, 6000 fruit bars will be sold. If the price of a fruit bar is raised by 2.00, sales will drop by 500 fruit bars. a) Determine the demand, or price, function. b) Determine the marginal revenue from the sale of 2700 bars.

Find the linear relationship between that exists between the time and the distance. Time (T)(hours) Distance(D)(miles) 0 0 1 5 2 10 3 15 4 20 (A) D = 5T (B) D = 1/5T (C) D = -5T

Find the mode(s) of the following data set. 13, 15, 6, 17, 16, 18, 11, 10, 11, 16, 20, 6, 18, 12, 6, 20, 13, 13, 20, 14, 11, 3, 9, 18, 12, 14, 6, 11, 5,18,8 14 11 18 16 15 6.

Find the area of the figure shown to the right A. 4176 ft² B. 1516 ft² C. 2436 ft² D. 1292 ft²

Given below are the daily high temperatures (In degree Fahrenheit) for one winter week in Albany, New York. [39, 42, 34, 37, 39, 44, 41] Find the mean, median, and mode of these temperatures. (A) Mean = 39.43, Median = 41, Mode = 44 (B) Mean = 39.43, Median = 39, Mode = 39 (C) Mean = 34.5, Median = 38, Mode = 42

What is the value of the interquartile range in the data set below? Show the calculations that lead to your choice. Test Scores: 68, 72, 90, 93, 75, 78,91,67 (1) 8 (3) 26 (2) 20.5 (4) 67

Which function has lowest rate of change? 5x - 2y = 15 (or) Cost of 5 pencils is 15 dollars Algebraic Function Both the functions Verbal Description

Find the rate of change and y-intercept from the equation 8x + 4y = 12. 1. m = 2 and b = -3 2. m= -2 and b=3 3. m=-2 and b = -3

Whispering Winds Corp. signs a $24000, 11%, 6-month note payable on September 1, 2021. How much interest expense will Whispering report in its 2022 financial statements? O $880 O $1320 O $0 O $440

If $26000 dollars is invested at an interest rate of 7 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. Assume no subsequent deposit or withdrawal. (a) Annual: $ (b) Semiannual: $ (C) Quarterly: $

Factor: ﹣6b³﹣34b²﹣40b.

When f(x) = 9x2 – 5x + 5, evaluate f(-5) f(-5) =

Violet was offered a job that paid a salary of $25,500 in its first year. The salary was set to increase by 2% per year every year. If Violet worked at the job for 29 years, what was the total amount of money earned over the 29 years, to the nearest whole number?

:The price of a widget was $362. Over nine years, the price dropped to $245. Assume a linear trend. (a) Find a linear model P = ax + b for this situation, where P is the price at time x. P= (b) Use this model to predict the price in 23 years.

Stella opened a new account in a bank and she paid an initial payment of $10 to open the account. She put $5.50 for each week. Write an equation for total amount in Stella's account after x weeks. (A) y =10x + 5.5 (B) y =10x - 5.5 (C) y = 5.5x +10

In a marathon, Darin ran three times as many miles as Tom, and Samir ran two miles less than Darin. Together they ran a total of 38 miles. How many miles did Tom run?

A parking meter contains quarters and dimes worth $16.50. There are 93 coins in all. Find how many of each there are. There are___quarters. There are____dimes.

What initial investment at 8% compounded semiannually for 6 years will accumulate to $9,000? (Round your answer to two decimal places.) $

A multiple choice test has five possible answers, labelled A, B, C, D, E. If the position of the correct answer is to be chosen at random, draw a probability histogram for this distribution.

A simple graph G on n vertices (n≥ 2) is drawn in the plane. Prove that if every edge crosses at most one another edge, then the number of edges in G does not exceed 4n - 8.

Solve the following maximisation problem by applying the Kuhn-Tucker theorem: Maxx,y 3.6x – 0.4x^2 +1.67 -0.2y^2 subject to 2x + y ≤10 ; x ≥0 y≥0

Find the indicated probability. Round your answer to 6 decimal places when necessary. Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.441. Find the probability that in a given year it will not snow on January 1st in that town. A) 0.559 B) 2.268 C) 0.789 D) 1.441

Find the area of a greatest rectangle that can be inscribed in an ellipse (x^2/a^2) + (y^2/b^2) =1

Which of the following represents the zeros of the function y = (x - 2)² - 1? 1 and 3 1 and -3 -1 and 2

Find x-intercepts and multiplicity of the following: f(x)= 1/15(x-5)(x + 1)²(x - 2)² please show all work and make sure it is readable please

Find the 60th term of the arithmetic sequence -14, -25, -36, ...

Find the leading coefficient of the polynomial function f(x) = -5x⁵ - 6x⁶ - 3x² + 9x.

A city's limits form a perfect circle that has a diameter of 20 miles. The city has a population density of 420 people per square mile. What is the city's population?

Video game sales (In dollars) per week are given below: 107, 100, 135, 131, 125, 119, 130. Find the mean of the given data. 1. 111 2. 110 2. 121

Valentina is baking a cake and has mixed 300 mini chocolate chips into the batter. Valentina pours the batter is poured into a rectangular pan that measures 12 inches by 7 inches. After poured, the batter measures exactly 1.6 inches in height. What is the density of chocolate chips in the batter?

What is the parent function of f(x) = (x-20)² - 3? (x-20) (x-3) x²

Simplify the following expression: (y³+4yz²)+(2y²z+8z³)/(y⁴-16z⁴)

You take out a 20-day single -payment loan for $750 with an interest rate of 18%. What is the amount of the maturity value? •$757.25 •$775.04 •$757.40 •$767.22

True or False: If you owe $317.90 and make the minimum payment of $54.57, you still owe $236.63. True False

Simplify each and state the excluded values. (7r - 35 p/r - 5). (r^2 - 2r - 15/8r+24)

What category do experts suggest 25-30% of your income should be spent on? Transportation Savings Housing

jack wants to buy a sonic screwdriver for $1500. He can finance the cost with monthly payments of $88.37 for 18 months How much is the finance charge? What is tge APR percentage?

Which of the following data sets does not have a mean of 12? 1. 7,12,17 2. 12, 11, 13 3. 12, 12, 12,8

Find the volume of the composite solid, which is a hemisphere atop a cylinder Hint: To add the pi symbol (π), type "pi"

Using regression, find the coefficients of the following equation y = ae-ᵡ + b * sin(3x) + cx² that will fit the following data: xdat = [ .05, .1, .2, .3, .5, .7, .9, 1]; ydat = [ 1.2, 1.5, 2.1, 2.6, 3.3, 3.8, 3.6, 3.6); Linear regression ?

Find the volume of the cone given the measures shown Hint: To add the pi symbol (π), type "pi"

Factor the following polynomial completely. 1/81 x⁴-1

Estimate ∫₁² eˣ² dx using the midpoints of eight rectangles.

-3b-5< -8 or b-4≤0 b< 1 or b≥ 4 b> -1 or b≤ - 4 b<1 or b ≤ 4 The solution is all real numbers.

150 grade twelve students were asked which of the following 3 TV programs they watch regularly. 102 watched "Friends", 70 watched "Survivor" and 40 watched "Crocodile Hunter". 25 watched both "Friends" and "Survivor", 27 watched "Friends" and "Crocodile Hunter", and 30 watched "Survivor" and "Crocodile Hunter". Determine the number of students who watched all three programs.

For each of the following proportions, write a corresponding word problem. Make sure to include an unknown variable and to define the units. (Hint: Since you are asked to include a variable, you will leave one of the components of each proportion out so that I can solve for it when I read your word problems).