The Jacksons are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and 5-year loan from two different lenders. Complete each table to calculate the total repayment and interest paid for each loan offer.

Identify the converse of the following conditional: if a point is in the first quadrant, then its coordinates are positive. if the coordinates of a point are not positive, then the point is not in the first quadrant. if the coordinates of a point are positive, then the point is in the first quadrant. if a point is in the first quadrant, then its coordinates are positive. if a point is not in the first quadrant, then the coordinates of the point are not positive.

Given that ot =5, xt=12, and ox= 13 is xy tangent to circle o at t? explain.

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.