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15x-20=6x-(x+2)+(-x+3)

Find the general solution of the following differential equation: xy''+y'=x^2

Simplify 5x+3x

Two cards are drawn without replacement from an ordinary deck Find probability that the first is a face card, given that the second is not a face card

Given the following utility function: 𝑈(𝑥) = 10𝑥2 + 2600𝑥 − 60000 where 𝑥 represents the number of items produced and sold. a) Determine the profit generated by producing and selling unit 101.

A summer camp has 672 campers who will be going on an outing. Estimate the number of vans needed to accommodate the entire camp if each van can comfortably hold 12 passengers. Then calculate the actual number of vans that will be needed.

log5 1 25 = −2,

14. Simon has a race track with two cars. The first car does a complete lap of the track in 32 seconds and the second does it in 21 seconds. Carlos also has his race track with two cars, but the first makes a complete lap in 36 seconds and the second in 42 seconds. Since Carlos always loses when they play, he proposes to Simón that the winner be the one who has both cars at the finish line on his track at the same time. Who will win?

Consider the following initial value problem  y 0 (t) = 3y − 2 cos(t) − 7 y(0.50) = 2 . An estimate of y(0.70), obtained by applying once the Taylor method of order 2 is: a. 1.508966975 b. 1.302834090 c. 0.1270954503 d. 1.468143997

The following information relates to questions 7-9 The following balances were extracted from the books of Peter Moses a sole trader on December 31, 2018; $ Sales 9,600,000 Return inwards 100,000 Return outwards 70,000 Carriage inwards 150,000 Purchases 3,820,000 Stock at 1.1.2018 1,500,000 Stock at 31.12.2018 2,000,000 What is the Cost of Sales? Question 7Answer a. 5,400,000 b. 3,400,000 c. 7,200,000 d. 8,400,000