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One integer is four times other. The sum of the integers is 5. What is the value of the lesser integer?
Let x = the lesser integer and now let y = the greater integer. The ?rst sentence in the question provides the equation y = 4x. The second sentence provides the equation x + y = 5. Substitute y = 4x within the second equation: x + 4x = 5. Combine like terms on the left side of the equation: 5x = 5; divide both sides of the equation through 5: 5x/5 = 5/5 . This provides a solution of x= 1, which is the lesser integer.
Joe took out a car loan for $12,000. He paid $4,800 in interest at a rate of 8% per year. How many years will it take him to pay off the loan? Using the easy interest formula I
Find the third vertex of a triangle if its two vertices are (-1, 4) and (5, 2) and mid point of one side is (0, 3).
example with solution of quadratic polynomial
Right- and left-handed limits : Next, let's see precise definitions for the right- & left-handed limits. Definition For the right-hand limit we say that, if for eve
Determine if the following sequences are monotonic and/or bounded. (a) {-n 2 } ∞ n=0 (b) {( -1) n+1 } ∞ n=1 (c) {2/n 2 } ∞ n=5 Solution {-n 2 } ∞ n=0
128sinpower8=cos8-8cos6+28cos4-56cos2+35
subtract 20and 10,and then mutiply by 5
1.)3 3/8 divided by 4 7/8 plus 3 2.)4 1/2 minus 3/4 divided by 2 3/8
Type I and type II errors When testing hypothesis (H 0 ) and deciding to either reject or accept a null hypothesis, there are four possible happenings. a) Acceptance of a t
Define the Column Matrix or column vector.
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