For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.
Step-by-step explanation:
In order to prove the statement we can take any value of x and then solve the expression to see if it equal to -16 or not.
So,
Taking x = 2
Taking x = 5
Taking x= 10
Hence,
For any value of x the value of the expression (x–3)(x+7)–(x+5)(x–1) is equal to –16.
Keywords: Polynomials, expressions
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Answer:
The interest of the mortgage is 72.2% of the total payment amount .
Step-by-step explanation:
The principal mortgage amount = P = $178,000
Let The amount after 30 years = $A
The period for which money mortgage = n = 30 years
The rate at which money mortgage for 30 years = 4.37%
Let the interest is x % of the total payment amount
<u>From Compound interest method</u>
The amount after 30 years =The principal mortgage amount ×
i.r A = P ×
Or, A = 178,000 ×
Or, A = 178,000 ×
Or, A = 178,000 × 3.6080
Or, A = $642224
So, The amount after 30 years = A = $642224
Now, Interest = Amount - Principal
Or, I = $A - $P
Or, I = $642224 - $178,000
∴ Interest = I = $464,224
So, The interest of the mortgage = I = $464,224
Now, Again
interest = x % of total payment amount
So, $464,224 = × $642224
∴ =
∴ = 0.722
i.e x% = 0.722
So, The interest is 72.2% of total payment
Hence,The interest of the mortgage is 72.2% of the total payment amount . Answer