. Julie borrows $25,000 at an effective annual interest rate of 12%. She has the following options for repayment: (i) Annual amortization method, with payments made at year-end for 10 years
(ii) Paying annual interest at year-end and building up a sinking fund (earning an effective annual interest rate of 7%), by making level annual payments at year-end, to pay off the loan at the end of 10 years Determine the absolute value of the difference between the total annual outlay under option 1 and the total annual outlay under option 2.

2, 2, 2 or -4, 20, 29

step-by-step explanation:

there is two ways you can do it.

large crystals result from very slow cooling.

evaporation of water: this would produce an evaporite which is a sedimentary rock. like a salt pan in a desert. not possible to have volcanic rocks originate this way.

crystalization in molten earth: slow cooling over time. (hundreds to millions of years)

crystalization at earth's surface: this results in fast cooling. (a few hours to a few months or years)

crystalization from cooling off hot water: that would be a hydrothermal deposit. while associated with volcanics they are not volcanic rocks themselves and usually occur fairly rapidly.

answers

\3. yes the presentation (i.e. odd numbers being written as differences of two squares) is possible for all odd natural number however the presentation may not be unique. for example,  57=112−82=292−28257=112−82=292−282.

\4. 2 can't be written as a difference of two squares because 4-1=3 and 1-1=0 and the difference of squares grows to integers larger that 3.

can i get some in proving questions 1 and 2?