A population of bacteria can be modeled by P(t) = 22,000/1+1.2e^-kt. Where t is time in hours and k is constant. After 1 hour the bacteria population is 10,532. What is the value of k rounded to 4 decimal places? My son has already submitted his answer on an online exam, but the teacher didn't explain how they got the answer, and I'm not the greatest with math.

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil

Alarger number is double the sum of a smaller number. the larger number is 2 less than 3 times the smaller number. if y represents the larger number and x represents the smaller number, which equations model the situation

If a seller prepaid the taxes of $4,400 and the closing is set for may 19, using the 12 month/30 day method what will the buyer owe the seller as prorated taxes?