Algebra question and answers for January 05, 2024
- Q $5000 invested at an APR of 5% for 3 yearsIf interest is compounded annually, what is the amount of money after 3 years?
- Q Consider an account with an APR of 45% Find the APY with quarterly compounding monthly compounding, and daily compounding Comment on how changingthe compounding period affects the annual yieldCassWhen interest...
- Q Justify your response thoroughly to communicate your understanding of theconcepts.Define and write the following relationship using function notation.A snowmobile travels through a 20 km trail. Determine a function for the...
- Q 4. Write down the sequence of the first twenty Fibonacci numbers and discover arelation between gcd (Fm, Fn) and Fgcd (m,n). Verify it for any eight (m, n) pairs.Show your...
- Q Suppose that f(100) = 5000 and f'(100) = 20. Estimate each of the following.(b) f(100.5)(c) f(99)(e) f(99.75)(a) f(101)(d) f(98)(a) f(101)~ (Simplify your answer. Type an exact answer.)
- Q You currently have $3,100 in an account that has an interest rate of 3.5% per year compounded continuously. After how many years will the account be worth $5.8907
- Q Find the inverse of 2 multiplied by thecubed root of x-1, plus two
- Q 8200where t is the number of3+5e 0.021months that have passed since the lake was stocked with catfish. How many catfish were in the lakethree years after the lake was stocked?...
- Q Determine whether the correspondence isa function.DomainfON X +RangeUZVIs this correspondence a function?O No? Yes
- Q The sum of the measures of the angles of a triangle is 180. Determine the measures of angles A, B, and C if the measure of angle B is 6...
- Q Consider the function f(x) = -2x + k, where k is a constant. Find the decreasing interval(s) of f(x).a) {x|x > 0, x ? R}b) {x|x ? 0, x ?...
- Q Let U be a unitary operator on an inner product space V and let W be a finite-dimensional U-invariant subspace of V. Prove:(a) U(W) = W(b) W? is U-invariant
- Q What is the function of sine that has an amplitude of 2, a period of, is reflected inthe x-axis, and has a maximum value of 6?a) f(x) = -2 sin(8x)...
- Q A vendor sells silk-screened T-shirts at community festivals and craft fairs. The costs incurred in the production and sale of the shirts are $90 plus $3.50 for each shirt sold...
- Q Let f(x) = ?2x + 1 and g(x) = ?2x-1. Find h(x) = f(x) = g(x).a) h(x) = ?2x + 1b) h(x)=?4x - 1c) h(r) = ?4x+1d) h(z)=2x+1
- Q Nick borrowed $6500 to help pay for school at a simple interest rate of 2.2% per year.At the end of five years, determine the following. Hint: Interest - Principal x...
- Q Exercise: Given=Find the following:a) f(-x)b) - f(x)5x - 4x + 9.
- Q Rewrite log x= w as an exponential equation.(a) a" = xb) a* = wc) x = wd) wa = x
- Q Calculate the distance from point P(2, 4, 1) to the line:Vector r = (1, 2, -1) + t(5, 1, -1), tER
- Q Solve the equation P= c + b + a for c.=(Simplify your answer.)
- Q 4. Write the equation of the line passing through the point (-9,2) that is perpendicular to the line 3x - y = 16.
- Q If x-intercepts of the f(x) are (-1, 0) and (3, 0). What are the x-intercepts ofy = af(x), where a is a constant?a) not enough information.b) (-1, 0) and (3,...
- Q A farmer notices that there is a linear relationship between the number of bean stalks, n, she plants and the yield, Y. Whenshe plants 3 stalks, each plant yields 115...
- Q Match the inequality, x<-9, with its equivalent interval notation.Choose the correct answer below.OA. (0,-9)O C. [9,00)OE. (-?, -9)U(-9,00)O G. (-?0,00)OI. [-9,00)OB. (-6,9]O D. (-?0,9]OF. (-?, - 9)OH. [-6,9)O J. (-?,...
- Q Find the quotient using long division.12a-6a-2a+94a+2
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