Suppose you have a balance of B dollars on a credit card. You choose to stop charging and pay off the card, making only minimum monthly payments. If your card charges an APR of r, as a decimal, and requires a minimum monthly payment of 5% of the balance, then the time T, in months, required to reduce your balance to $100 is given by   T = 2- log(B) _____________ log(0.95(1+r/12))                  Suppose your current balance is $8000.   (a)How long will it take to reduce your balance to $100 if the APR for your card is 27%? (Report your answer to the nearest whole month.)     __________months

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Q: In 2007, the initial population of a certain city is 100,000 and is increasing exponentially at a…

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Q: which of the following exponential functions is an increasing function?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.