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Zanzabum
3 years ago
10

What is a lifetime cap ?

Mathematics
2 answers:
Mashcka [7]3 years ago
6 0

A lifetime cap is the maximum upper limit interest rate allowable on an adjustable-rate mortgage.



Sphinxa [80]3 years ago
5 0
<h2>Answer:</h2>

Lifetime gap is the maximum amount of money that should be given on a mortgage loan.

<h2>Step-by-step explanation:</h2>

A lifetime cap, or life cap, tells a borrower the maximum interest rate they could pay during the life of the loan. This cap usually applies to the life of the mortgage. A mortgage is a security interest in real property held by a lender as a security for a debt, usually a loan of money. So the maximum amount that a borrower must repay to the lender in case of a mortgage is called the lifetime gap.

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Given ​ f(x) = x^2 + 14x + 40 ​. Enter the quadratic function in vertex form in the box. f(x)=
finlep [7]
Recall that the vertex form of a quadratic function (or parabolic function) is equal to

f(x) = a(x - h)^{2} + k

Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.

One concept that we must remember when completing the square is that

(a + b)² = a² + 2ab + b²

So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.

So, going back to the function, we have

f(x) = (x^{2} + 14x + 40 + 0)
f(x) = (x^{2} + 14x + 40 + 49 - 49)
f(x) = (x^{2} + 14x + 49) + 40 - 49
f(x) = (x + 7)^{2} - 9

Thus, we have derived the vertex form of the function. 

Answer: f(x) = (x + 7)² - 9
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