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 Find all rational solutions of x4−6x3+22x2−30x+13=0


Solve the logarithmic equation 23x-2 =32x-1

a) The number of grams of a certain radioactive substance present after t hours is given by the equation Q = Q0e−0.45t, where Q0 represent the ini- tial number of grams. How long will it take 2500 grams to be reduced to 1250.


  1. Find the value of the following logarithmic expression.


1. log5  5= ________

2. log7  1= ________

3. log5  5= ________




Determine the new value of an Hp computer that has discounted 25% of its

original price of Php 20,000 using the decay factor system. The discount

percentage fall under the decay factor: DECAY FACTOR =100%-25%=75%



A new car costs ₱450.000.00. This value subsides by 10% each year. 


What can you say about the upper bound of E(x) for numbers of the form 3^(2n) + 1?




Nancy sells household appliances. She receives a monthly commission of 4% for her first P50,000 of sales and 6% for all sales in excess of P50, 000. Find the amount due her if her sales amounted to P85, 750


If log4 5=a and log5 6=b, then log3 2 is equal to


Solve the following problem using DPP

Maximize                          Z = 50x1+100x2

Subject to constraints:       10x1+5x2 ≤ 2500,

                                               4x1+10x2 ≤2000,

                                               

x1, x2≥ 0


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