You have just applied, and have been approved for a $175,000 mortgage. The rate quoted to you by the lender is 5.5% for a 30 year fixed mortgage. Use the provided table to determine how much of your first month’s payment goes towards the principal.
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a.
$191.92
c.
$187.32
b.
$190.23
d.
$184.88

Which of the following transformations will always produce a congruent figure?

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Solve each quadratic equation by factoring and using the zero product property. 14x - 49 = x^2