During the first hour of operation the farm stand owner sold 15% of the apples he had. on the second hour he sold 20% of the remaining apples. on the third hour he sold 25% of the remaining apples, and so on, selling 5% more each following hour. if during the third hour he sold 34 kg of apples, how many kilograms of apples did he have initially?

200 kg

Step-by-step explanation:

First hour he sold 15% (remaining is 85%)

Second hour he sold 20% of remaining (which is 85%) -- so he sold , which is 17% (remaining 85-17=68%)

Third hour he sold 25% of remaining (which is 68%) -- so he sold , which is 17%

In third hour he sold 34, so 17% is 34. To find total he initially had, we need to find (100%). We can setup the ratio (letting x equal his initial amount):

Initially the farm stand owner had 200 kg of apples.

x = -2

y = 848

step-by-step explanation:

plug in the numbers

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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