Suppose you open a savings account at an interest rate of 1.5 percent per year, compounded monthly. You make an initial deposit of $1,000 and, starting one month after you open the account, you deposit $100 each month and do not make any withdrawals. Identify which problem-solving techniques you would use to answer the question:
#12 Determine the slope of each line Explanation of what I see here: There is a graph with a line going vertical from Y, 3, 1 and -1 Then there is a line above the numbers: -1, 1, 2, 3, x A blue line goes between the 3 and 1 (sorry I don't know how to the graph I am looking at) #22 The Coordinate Formula for Slope Fin
The number of violent crimes reported in the U.S. in 1995 was 1,798,790, and decreased to 1,682,280 in 1996. Assume that the function that relates the number of violent crimes as the dependent variable, with the year that the number of crimes occurred as the independent variable, is linear. Write an equation for the line. I
A wireless phone service charges 14.99 as a monthly charge and 0.30 per minute for local calls. How much would you pay in a month when you made ten local calls of three minutes each? Let C represent your total monthly cost assuming you made only local calls, did not receive any calls and the total number of minutes you wer
Suppose the current price of gold is $650 an ounce. Hotshot consultants advises that gold prices will increase at an average rate of 12% for the next two years. After the growth rate will fall to a long-run trend of 3% per year. What is the price of 1 million ounces of gold produced in eight years? Assume that gold prices have a
1. Insurance settlement. Gary invested one-third of his insurance settlement in a CD that yielded 12%. He also invested one-third in Tara's computer business. Tara paid Gary 15% on this investment. If Gary's total income from these investments was $10,800 for 1 year., then what was the amount of his insurance settlement? 2.
#12 (Commutative & Associative Properties) -8 + 12 - 9 - 15 + 6 - 22 + 3 #34 (Distributive Property) Use distributive property to write each sum or difference as a product. 7b - 49 #54 Multiplication Property of Zero x * 5 = 5x #26 (Using the Properties in Computation) Perform each computation. Make use of appropri
Verify that if H is a subgroup of G, and a ? G, then aHa^-1 is a subgroup of G. Prove that if H is a finite subgroup of G, and a ? G, then |aHa^-1| = |H|. (Suggestion: The mapping h ? aha^-1 is one-to-one.) Explain why if H is a Sylow p-subgroup of a finite group, then so is each conjugate of H. Prove that if a finite g
Find an equation of the line passing through the pair of points. Write the equation in the form Ax + By = C. Show Work. (-7,6),(-8,-4) A. -10x-y = 76 B. x+y = 76 C. -10x + y = 76 D. 10x + y = -76
1. Simplify: (-5a^3b^2)^4 a^12b^5/b^-7 2. let f(x)=3x^2 and g(x)=x-4 -Find the composite function (f o g)(x) and simplify -Find (f o g)(-1) 3. Find the exact solutions and simplify as much as possible 4x^2+5=4x
1. Suppose $8,500 is invested in an account at an annual interest rate of 3.7% compunded continuosly.How long (to the nearest tenth of a year) will it take the investment to double in size? 2. Solve, and write the answer in interval notation x+5/x-7 ? 0 3. Solve: ?3x+10=-x
1. Solve: 7^3x-4=49 2. Let f(x)=x^2+10x40 -find vertex -state the range of the function -on what interval is the function increasing? 3. Multiply and Simplify (7+6i)(2+9i) Write the answer in the form a+bi, where a and b are real numbers.
1. The total weight of a container and liquid is 14.40 lbs. The tare weight of the container is 6.10 lbs. If 97% of the liquid is water, what is the weight of the chemical added to it? Multiple Choice: a) 0.25 lbs b) 0.28 lbs c) 2.50 lbs d. 8.05 lbs. 2. How many gallons of water should be mixed with 2 lbs of dry
The two NCAA stadiums with the largest capacities are beaver Stadium (Penn State) and Michigan Stadium (Univ. of Michigan). Beaver Stadium has a capacity of 1081 more than Michigan Stadium. If the combined capacity for the two stadium is 213,483, find the capacity for each stadium.
See the attached file. 1) Compute the Cayley tables for the additive group Z and for the multiplicative group Z of non-zero elements in Z. 2) Let G be a group written additively. Recall that the order of an element a is the minimal natural number n such that na = 0. If such n does not exits then one says that the order
Population growth in Ethiopia: In 2006, the estimated population in Ethiopia was 75 million people with a relative growth rate of 2.3%. a. Write an equation that models the population growth in Ethiopia, letting 2006 be year 0. b. Based on the model, what is the expected population in Eithiopia (to the nearest million) in
The pH of solution A is 4.2, while the pH of solution B is 8.2. Find the Hydrogen Ion concentration of Solution A. How much greater is it than that of solution B? (It says to use scientific notation using multiplication symbols in the math palette as needed and to round to the nearest tenth).
A man who owns a sound system store wants to advertise all the different kinds of stereos he offers. He carries 9 different CD players, 7 different receivers, 10 different kinds of speakers. Assume that a sound system consists of one of each. How many different sound systems can he advertise?
1. Find the slope and y intercept of the graph Y=0.7x+5 2. Write an equation of the line with the indicated slope and y intercept. Slope= 15 Y intercept = 9 3. Find the slope of the graph 2x-3y=18 4. Write the equation of the line through each indicated point with the indicated slope. Write the final
Dropping less than 2 inches per mile after emerging from the mountains a river drains into the ocean. One day's discharge at its mouth, 5.6 trillion gallons, could apply to all of country X's households for four months. Based on this how much water does the avg. household use each month? Assume 200 million households in coun
Question 1: A seismograph 300 km from the epicenter of an earthquake recorded a maximum amplitude of 5.9 x 10^2 µm. Find this earthquake's magnitude on the Richter scale. Question 2: An artifact was found and tested for its carbon-14 content. If 81% of the original carbon-14 was still present, what is its probable age
Please evaluate the following expressions: 92-7(8) 6(32-17) 6(32)-17 Please use the function f(x) = -3x+5 when f (2), (-1) ,(.5) , (-3) and plot the following on Cartesian coordinates: (2,3) (4,-1) (-.5,3.5) (-1.5,-4) (-5,3)
What is the square root property and what is it used for? In what form should an equation be in order to use the square root property? When should the square root property be used instead of factoring? Use the following to explain. (3t-2)^2=108
What is the square root property and what is it used for? In what form should an equation be, in order to use the square root property? When should the square root property be used instead of factoring? Use the following to explain. 10-4p^2=21
The positive integers are classified into two types, A and B; a number is A if and only if it is the sum of two (distincts) A numbers, or the sum of two (distincts) B numbers. a) Classify the numbers 1,2, 3 as A and B. b) Prove that if n, n+1, n+2 are A numbers, then every integer >= n is an A number. c) Find the smalle
26. The formula for converting Fahrenheit temperature, F, to Celsius, C, is C = 5(F-32)/9. If Celsius temperature ranges from -6 degree C to 15 degree C, inclusive, what is the range for the Fahrenheit temperature? 27. Find the solution(s) for the equation. |4x - 8| + 11 = 23
I need help with the following problem: Write an equation that expresses the relationship. Then solve the equation for m. b varies directly as the cube of u and inversely as m. b=? (use k as the constant of variation) m=?
A person invested $7200 for 1 year, part at 4%, part at 10%, and the remainder at 15%. The total annual income from these investments was $863. The amount of money invested at 15% was $1400 more than the amounts invested at 4% and 10% combined. Find the amount invested at each rate. The person invested $__ at 4%, $__ at 10%,
How would you explain the performance of synthetic division to someone else? Use the problem (2x3 - 3x2 - 11x + 7)/(x + 3) to support your explanation.
Please help with the following algebra problems. Provide step by step calculations as well as explanations. If possible, provide an additional example. The equation of a line is given below. Find the slope of a line that is: a. Parallel to the line with the given equation. b. Perpendicular to the line with the given equa