Q.  A sum of $2,500 is deposited in a bank account that pays 5.25% interest compounded weekly. How long will it take for the deposit to double?  How long will it take you to accrue a balance of $7,500?  What interest rate is required to yield a balance of $7,000 after 7 years?

Q. Solve the following logarithmic equations. A) log(x-1)  - log(x+1) = 1; B) ln(x) = -1.147; C) ln(x) =  (2/3)ln(8) + (1/2)ln(9) - ln(6); D) log₅ (x) + log₅ (x-4) = log₅ (21);  E) log₄ (3x) - log₄ (x²-1) = log₄ (2)

Q. Solve the following exponential equations. A) 3^(7x+1) =  3^(4x-5); B) 8^x  =  2^(x-6); C)  3^(x+2) = 5: D)  4^(x) = 2^(3x+4); E) e^{(x - 6)} = 3.5.

Q. Graph f(x) = 2^x - 3 and approximate the zero of f to the nearest tenth. Also find the y-intercept and any horizontal and vertical asymptotes.

Q. In a research experiment, a population of fruit flies is increasing according to the law of exponential growth. After 2 days there are 100 flies, and after 4 days there are 300 flies. How many flies will there be after 5 days?