A person has $100,000 to invest. If $x are invested in a money market account yielding 7% and twice that amount in certificates of deposit yielding 9%, and if the rest is invested in high-grade bonds yielding 11%, write an algebraic expression that represents the total annual income from all three investments. Simplify the expression.
> Nitrite is commonly determined by a colorimetric procedure using a reaction called the Griess reaction. In this reaction, the sample containing nitrite is reacted with sulfanilimide and N-(1-Napthyl) ethylenediamine to form a colored species that absorbs
> One common way to determine phosphorus in urine is to treat the sample after removing the protein with molybdenum (VI) and then reducing the resulting 12-molybdophosphate complex with ascorbic acid to give an intense blue-colored species called molybdenu
> How does a gas-sensing probe differ from other membrane electrodes?
> Briefly describe or define (a) Indicator electrode. (b) Reference electrode. (c) Electrode of the first kind. (d) Electrode of the second kind. Answers: a) Indicator electrode: An indicator electrode is an electrode used in potentiometry that responds
> Perform the indicated operations and reduce answers to lowest terms.
> Perform the indicated operations and reduce answers to lowest terms.
> Represent the compound fractions in Problem as simple fractions reduced to lowest terms.
> Represent the compound fractions in Problem as simple fractions reduced to lowest terms.
> imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class. (A) Is the solution correct? If the solution is incorrect, explain what is wrong and how it can be corrected.
> imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class. (A) Is the solution correct? If the solution is incorrect, explain what is wrong and how it can be corrected.
> imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class. (A) Is the solution correct? If the solution is incorrect, explain what is wrong and how it can be corrected.
> imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class. (A) Is the solution correct? If the solution is incorrect, explain what is wrong and how it can be corrected.
> perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms.
> perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms.
> factor out all factors common to all terms.
> perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms.
> perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms.
> perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms.
> perform the indicated operations and reduce answers to lowest terms. Represent any compound fractions as simple fractions reduced to lowest terms.
> Perform the indicated operations and reduce answers to lowest terms.
> Perform the indicated operations and reduce answers to lowest terms.
> Perform the indicated operations and reduce answers to lowest terms.
> Perform the indicated operations and reduce answers to lowest terms.
> Perform the indicated operations and reduce answers to lowest terms.
> Perform the indicated operations and reduce answers to lowest terms.
> refer to the following polynomials: Multiply (A) and (C).
> Perform the indicated operations and reduce answers to lowest terms.
> Perform the indicated operations and reduce answers to lowest terms.
> Perform the indicated operations and reduce answers to lowest terms.
> factor by grouping.
> factor out all factors common to all terms.
> factor out all factors common to all terms.
> discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. If k is a positive integer, then u2k + 1 + v2k + 1 can be factored.
> discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. If m and n are positive integers and m ≠ n, then um - vn is not factorable.
> factor completely. If a polynomial cannot be factored, say so.
> factor completely. If a polynomial cannot be factored, say so.
> indicate true (T) or false (F). 8. a + cb = a + bc 10. 12. 14. 16. 18 20 22. 24. 26.
> factor completely. If a polynomial cannot be factored, say so.
> factor completely. If a polynomial cannot be factored, say so.
> factor completely. If a polynomial cannot be factored, say so.
> factor completely. If a polynomial cannot be factored, say so.
> factor completely. If a polynomial cannot be factored, say so.
> factor completely. If a polynomial cannot be factored, say so.
> factor completely. If a polynomial cannot be factored, say so.
> Each ounce of food M contains 8 units of calcium, and each ounce of food N contains 5 units of calcium. A 160-ounce diet mix is formed using foods M and N. If x is the number of ounces of food M used, write an algebraic expression that represents the tot
> factor completely. If a polynomial cannot be factored, say so.
> Six thousand tickets are to be sold for a concert, some for $20 each and the rest for $35 each. If x is the number of $20 tickets sold, write an algebraic expression that represents the gross receipts from ticket sales, assuming all tickets are sold. Sim
> refer to the following polynomials: Subtract (A) from (B).
> factor completely. If a polynomial cannot be factored, say so.
> factor completely. If a polynomial cannot be factored, say so.
> Show by example that, in general, (a – b)2 ≠ a2 - b2 . Discuss possible conditions on a and b that would make this a valid equation.
> factor completely. If a polynomial cannot be factored, say so.
> How does the answer to Problem 52 change if the two polynomials can have the same degree?
> factor completely. If a polynomial cannot be factored, say so.
> What is the degree of the sum of the two polynomials in Problem 51?
> factor completely. If a polynomial cannot be factored, say so.
> perform the indicated operations and simplify.
> Replace each question mark with an appropriate expression that will illustrate the use of the indicated real number property. Identity property ( + ): 0 + 9m = ?
> perform the indicated operations and simplify.
> The price of gas increased 4% in one week. If the price last week was $4.30 per gallon, what is the price now? (Round to the nearest cent).
> Subtract the sum of the first two polynomials from the sum of the last two: 3m2 - 2m + 5, 4m2 - m, 3m2 - 3m - 2, m3 + m2 + 2
> If you paid $29.86 in tax on a purchase of $533.19, what was the sales tax rate? (Write as a percentage, rounded to one decimal place).
> perform the indicated operations and simplify.
> without using a calculator, round to the nearest integer.
> perform the indicated operations and simplify.
> without using a calculator, round to the nearest integer
> perform the indicated operations and simplify.
> Use a calculator to express each number in Problem as a decimal to the capacity of your calculator. Observe the repeating decimal representation of the rational numbers and the nonrepeating decimal representation of the irrational numbers.
> refer to the following polynomials: Add (A) and (B).
> perform the indicated operations and simplify.
> Repeat Problem 37 for 0.181818 . . . . . Data from Problem 37: Proceeding similarly, convert the repeating decimal 0.090909c into a fraction. (All repeating decimals are rational numbers, and all rational numbers have repeating decimal representations.)
> perform the indicated operations and simplify.
> Indicate true (T) or false (F), and for each false statement find real number replacements for a and b that will provide a counterexample. For all real numbers a and b, (A) a + b = b + a (B) a - b = b - a (C) ab = ba (D) a ÷ b = b ÷ a
> perform the indicated operations and simplify.
> Given the sets of numbers N, Z, Q, and R , indicate to which set(s) each of the following numbers belongs: (A) -3 (B) 3.14 (C) π (D) 2/3
> perform the indicated operations and simplify.
> Give an example of a rational number that is not an integer.
> perform the indicated operations and simplify.
> Indicate whether the following are true (T) or false (F): (A) All natural numbers are integers. (B) All real numbers are irrational. (C) All rational numbers are real numbers.
> Replace each question mark with an appropriate expression that will illustrate the use of the indicated real number property. Associative property ( ∙ ) : x(yz) = ?
> perform the indicated operations and simplify.
> If uv = 0, does either u or v have to be 0? Explain.
> factor completely. If a polynomial cannot be factored, say so.
> perform the indicated operations and simplify.
> factor completely. If a polynomial cannot be factored, say so.
> perform the indicated operations and simplify.
> factor completely. If a polynomial cannot be factored, say so.
> perform the indicated operations and simplify.
> factor completely. If a polynomial cannot be factored, say so.
> Solve Problem by Factoring.
> Solve Problem by Factoring.
> Solve Problem by the square-root method.
> Solve Problem by the square-root method.
> It is of considerable importance to know the least number of feet d in which a car can be stopped, including reaction time of the driver, at various speeds v (in miles per hour). Safety research has produced the formula d = 0.044v2 + 1.1v. If it took a c
> Using the formula in Problem 51, determine the interest rate that will make $1,000 grow to $1,210 in 2 years. Data from Problem 51: If P dollars are invested at 100r percent compounded annually, at the end of 2 years it will grow to A = P(1 + r)2 . At w
> An importer sells an automatic camera to outlets in a large city. During the summer, the weekly supply-and-demand equations are How many units are required for supply to equal demand? At what price will supply equal demand?
> perform the indicated operations and simplify.
> refer to the following polynomials: What is the degree of (A)?
> In Problem , find all real solutions.
> In Problem , find all real solutions.
