For x, y ∈ r, prove that ||x| − |y|| ≤ |x − y|, (hint: consider x = y + (x −

Using the triangular inequality (and the given hint!), we have

Similarly,

We managed to bound the quantities in this fashion:

And thus we have

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of