1a suppose 12500 is invested in an account which offers 325

Question

1.A Suppose $12,500 is invested in an account which offers 3.25% interest compounded quarterly (4 times a year). 

(a) Express the amount A in the account as a function of the term of the investment t in years.

(b) How much would be in the account in 7 years (assuming non deposits or withdrawals are made)?

(c) How long will it take for the initial investment to double (round the nearest tenth of a year)?

1 B. Solve for n

(a)  ln (n² + 18) = ln (-11n - 6)

(b) log₃ (2x + 1) = 2

1 C. (a) Use the properties of logarithms to write 5log₃x - 2log₃z as a single log function.

(b) Express log_b x³y²z in terms of logarithm of each variable ( expand)