Q and A for the topic: General

Show that the following propositions are logically equivalent using logical transformations (not using truth tables) p→q≡~q→~p

Verify whether (~p^(pvq))→ q is a tautology using logical transformations (not using truth tables)

I think of 2 numbers. One number is 39 greater than the other number. If I add 9 to the larger number it will be 3 times greater than the smaller number. Find the larger number.

Larry Mach invested part of the 21,000 from his salary advance at a simple annual interest rate of 6%, and the remainder at a simple annual interest rate of 4% if the total interest he earned during the year on both accounts was of 1060, determine the amount invested at each rate the company must sell how many tons?

What is the minimum number of points that a candidate can earn in an election using the Borda count method if there are four candidates in 25 voters? Minimum number points, a candidate can earn is ______

A company had the following income statement for the previous reporting period (earnings before interest and taxes): Revenue $26,000,000 COGS $20,932409 SG&A $4,503,125 EBIT $564,466 The company is not at its maximum production and wants to make some additional sales this quarter to some new customers. Assuming that indirect costs have already been covered, choose the largest (temporary!) discount that could be offered without losing money. a) 0% b) 10% c) 15% d) 20% e) 25%

A company had the following income statement for the previous reporting period (earnings before interest and taxes): Revenue $26,000,000 COGS $20,932409 SG&A $4,503,125 EBIT $564,466 The company is not at its maximum production and wants to make some additional sales this quarter to some new customers. Assuming that indirect costs have already been covered, choose the largest (temporary!) discount that could be offered without losing money. a) 0% b) 10% c) 15% d) 20% e) 25%

Let ƒ be the function defined on R by: f(x)=-2x+5x-3 and C its representative curve in an orthonormal coordinate system. 1. Calculate its derivative f'(x) by specifying the set of real numbers x for which the calculation is valid. 2. Study the sign of f(x) according to the values of x. 3. Deduce the direction of va variation of the function f. Draw up the table of variation of f. 4. Determine the local extrema of f. 5. Frame f(x) as best as possible on the interval [0:] 6. Determine the equation of the tangent to the curve C at the point of abscissa 1.

Juan has 2 ropes of 180m and 240m respectively. You want to cut both ropes into equal pieces. What is the maximum length that each piece can have? How many pieces of rope of maximum length can he get?

What is the angle between the vectors A= 3i + 3j + 3k B= 2i + 1j + 3k

integral of (9*t^4)/ √(9t^4 + 4t^2)

If k is a constant, what is the value of k such that the polynomial k^2x^3+14kx+49 divisible by x-1

Do you think women have equal employment opportunities in the police field?

A businessman donated 2% of his money to Charity X. He then donated 4% of his remaining money to Charity Y. Finally, he donated 6% of his remaining money to Charity Z. What percentage of his original amount of money was donated to Charity Z? Give your answer correct to 3 significant figures.

6000+6000000

5+5

Stagger, classify and solve linear systems a) {x + y - z + t = 1 {3x - y - 2z + t = 2 {-x - 2y + 3z + 2t = -1

A person who travels outside the country leaves a rental property for 5 years, with the condition that $4,500.00 per quarter is paid every end of the month, which will be deposited in a savings account that pays 8% compounded quarterly. What is the current value of the rental contract.

eliminate arbitrary constant y= A cos ax +B sin ax

eliminate the arbitrary constant from y= Ae^2x +Be^x + C