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Bacteria population starts with 420 bacteria present and grows exponentially. Every bacterium divied into 2 organisms every 25 minutes. Determine size of population after 2 hours.
Find out the per annum interest rate needed for the investment with continuous compound interest to triple in 6.75 years. Write your answer as the percent.
Write the example to illustrate that limit of the sequence may not be the limit point of range of sequence if terms of the sequence are not distinct.
There are 2 acres of land and 48 days of harvest labor available. How many acres must be devoted to each crop to maximize pounds of grain harvested?
Draw the curve by using parametric equations to plot points. Point out with the arrow direction in which curve is traced. Then eradicate parameter to a Cartesian equation of curve. x = t^3 + 1; y =
To increase revenues during recent recession, governor of the state proposed the given taxation formula. Compute individual's marginal after-tax income at income levels of $100,000 and $700,000.
Where P is monthly mortgage payment and M0 is amount borrowed. If you borrow M0 = $36,000 and pay off loan in t = 120 months (so M(120) = 0), find monthly payment P?
Assume probability of the bike getting stolen in Honolulu is 10% and 22 bikes are arbitarily selected in Honolulu. Find the probability that 3 of them will be stolen?
Revenue (in thousands of dollars) from making x units of the item is modeled by R(x)=10x-0.005x^2. Determine average rate of change in revenue as x changes from 1004 to 1007.
Calculate a, assuming that there are three earthquakes of magnitude at least six per year. Give the exact (symbolic) answer.
Radioactive strontium 90Sr has been deposited in the large field by acid rain. If enough amounts make their way through food chain to humans, bone cancer can result. For how many years will field be c
Man wandering in desert walks 2.3 miles in direction S 31 Degrees W. At that time how far is he from starting point, and find his bearing from his starting point?
Find present value of the cash flow of $5000 per year if annual rate of interest is 4.5%. Suppose that interest is compounded annually and round to nearest cent.
Determine the point in time where (instantaneous) rate per week at which rats being caught matches average rate per week that rats are being caught over complete 20-week period.
Write meaningful interpretations of following in terms of caffeine and study time, comprising suitable labels in the responses.
Which of the is the valid geometric definition of the parabola? Eccentricity e tells you which of the given things about conic section in polar coordinates?
The projectile is fired upward at the velocity of 64 ft/s at the initial height of 300 ft. Use projectile height equation to determine the maximum height. During what time interval is object greate
Look up mass of earth and radius of earth (to be used as the distance to the center of mass) and determine that constant. Now look actual Gravitational Constant of Universe. How does the answer compar
You are starting with 1.0-L of 10% alcohol mixture and you have several 70% alcohol supply bottles. How many liters of 15% alcohol mixture do you end up with?
The box is to be constructed from the flat piece of cardboard. Cardboard is 10 in. by 15 in. Determine value for x which will provide you maximum volume.
The population is 22000 in year t=0 and grows at the continuous rate of 7.65% per year. Determine the formula for P(t) population in year
If the Toyota Camry is bought for C dollars, its trade-in value (V)t at the end of t years is provided by (V)t=0.78C(0.85)^t-1 . If original price is $25,000, compute, to nearest dollar, value afte
Population (N)t (in millions) of United States t years after 1980 may be approximated by formula (N)t=231e^0.0103t. When will population be twice what it was in 1980?
Assume that for the dose of 10 milligrams, amount (A)t remaining in body t hours later is provided by (A)t 10(0.8)^t and that in order for drug to be effective, at least 2 milligrams should be in th
Determine sum, if it exists, of infinite geometric series: 1 - 1/3 + 1/9 - 1/27+... Add Answer Mathematical induction proves facts about every positive real numbers.