Isabel is using the tvm solver on her graphing calculator as shown below to
determine how much she has to invest now in a savings account earning
compound interest to have $14,200 in a certain number of years.
pmt=0
fv=14200
p/y=1
c/y=12
pmteenl begin
according to what isabel has entered into the tvm solver, with what
frequency will the interest in the savings account be compounded?

there were only 2 presidents that were under the age of 45. theodore roosevelt, and jfk, that makes 5%

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen

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?