Question Solved1 Answer 1) Mike holds a P32,400 simple interest note at 12.5%, which is payable at the end of a year, from Carlo. If Mike decides to sell the note 5 months after the origin date, how much will he receive if the discount rate is 13.5%? 2) What are the proceeds of a P5,500 bank discount note that is payable at the end of 6 months, but discounted after 5 months, at a 15% discount interest rate?

What is the negation of the statement "Everybody who whistles has missing teeth"? Select one: a. Somebody who whistles has missing teeth. b. Nobody with missing teeth can whistle. c. Nobody who whistles has all their teeth. d. Everybody with missing teeth can whistle e. Nobody who whistles has missing teeth. f. Somebody who whistles has all their What is the negation of the statement "Everybody who whistles has missing teeth"? Select one: a. Somebody who whistles has missing teeth. b. Nobody with missing teeth can whistle. c. Nobody who whistles has all their teeth. d. Everybody with missing teeth can whistle e. Nobody who whistles has missing teeth. f. Somebody who whistles has all their teeth. g. Everybody with missing teeth cannot whistle If the domain of discourse is the set of all integers, and if e(x) means "x is even", and f (x) divisible by four", then which expression(s) mean "No odd integer is divisible by four"? Select one or more: a. Forall x not e(x) rightarrow not f(xj) b. not x not e(x) rightarrow f(x) not x not e(x) f(x) d. Forall x not e(x) f(x)

2) Create a maths problem and model solution corresponding to the following question: "Find the directional derivative of the following two-variable function for the supplied point and unit vector" Evaluate the directional derivative at the point (2, 5). Ensure that your supplied function uses both x and y, has 3 terms, and that at least one of those terms contains vx . You may choose the vector representing the direction you will evaluate the directional derivative in, and the derivative must be a multiple of 2. 3) Create a maths problem and model solution corresponding to the following question: "Determine the derivative with respect to x for the following function" Your problem should provide a function that requires use of the chain rule and the product rule to differentiate, contains tanh(2x), and produces a derivative that includes In(3) 4) Create a maths problem and model solution corresponding to the following question: "Evaluate the following integral using trigonometric substitution" The integral should make use of the substitution x = atan, and also require a second substitution to solve. The square root component should be multiplied by a polynomial.

A rectangular tank 6 x 8 ft is filled with a gasoline to a depth of 80 ft. The pressure at the gasoline is 14.7 psi. Find the pressure at the bottom of the tank and force exerted on the bottom.

14. Determinethecostof capitalfor the followingsecurities. Assume40%taxrate. a) A seven-year debenture with a coupon interest of 10%. The debentures matures infiveyearsandhasa currentmarketpriceofBr90 as againstits par valueofBr 100. b) A preference share pays 7% dividend. Par value is Br 100 per share and its currentmarketpriceis Br 80. 14. Determinethecostof capitalfor the followingsecurities. Assume40%taxrate. a) A seven-year debenture with a coupon interest of 10%. The debentures matures infiveyearsandhasa currentmarketpriceofBr90 as againstits par valueofBr 100. b) A preference share pays 7% dividend. Par value is Br 100 per share and its currentmarketpriceis Br 80.

Locations \( A, B, C \) and \( D \) are each \( d=470 \mathrm{~nm} \) trom the center of the dipole shown in the diagram beiow. The dipale consists of ions with charges \( +e \) and \( -\mathbf{c} \), scparated by a ditance af \( s=0.2 \mathrm{~nm} \). (Nate that the diag am is not drawn to scale.l A For the tollowing questions, please chacse the arrow from Locations A,B,C and D are each d=470 nm trom the center of the dipole shown in the diagram beiow. The dipale consists of ions with charges +e and −c, scparated by a ditance af s=0.2 nm. (Nate that the diag am is not drawn to scale.l A For the tollowing questions, please chacse the arrow from this diagram which best represorts the correct antiancr. 9- rero magnitude 10 - mare infarmation needed What is the direction of the electric tietd at location A? What is the direction of the electric tiedd at location B? What is the direction of the electric tield at location C? What is the droction of the clectric tiald at location D ? At a particular instant an eloctron is at location D. What is the drectian of the force on the akctron due to the dipolo?

undefined 19 If we multiply a complex number z = reis by ei', we get ei®z = re (6+0), that is, a complex number with the same r but with its angle increased by e. We can say that the vector r from the origin to the point z= x+iy has been rotated by angle e as in Figure 7.4 to become the vector R from the origin to the point Z = X +iY. Then we can write X +iY = ei®z = ei® (x + iy). Take real and imaginary parts of this equation to obtain equations (7.12).