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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.
- 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.
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
A new smartphone can be purchased for $840. The phone’s value has a half-life of 23 months and can be modelled by the function
𝑉 = 840(0.5) 𝑡/23
Algebraically determine how long, to the nearest tenth of a month, it takes the smartphone to be worth $601
1. A farmer finds that if she plants 75 trees per acre, each tree will yield 20 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest? Also, find a rigorous algebraic solution for the problem.
A water cooler holds 25 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters)
Create a cubic polynomial inequality for which 𝑥 = 0 or 𝑥 ≥ 5 is the solution. Explain your answer fully using terminology learned in this unit and a diagram.
