The monthly payment on the mortgage is option C) $2537.44
<u>Step-by-step explanation</u>:
- Principal (P): $
295,000
- Rate (r): 6.3% = 0.063
- Number of times compounded (n): 12months
15 years = 180
- Number of years = 15
The formula is A = P(1 + r/n)^nt
⇒ A = 295000(1+0.063/180)^(18015)
⇒ A = 295000(180.063/180)^2700
⇒ A = 295000 (1.00035)^2700
⇒ A = 758854.5
Interest = Amount - Principle
⇒ 758854.5 - 295000
⇒ Interest = 463854.5
∴ The monthly payment for 15 years = 463854.5 / (1512)
The monthly payment on the mortgage = 2576.9 (approximately option C)
3. it would be 15 because it is multiplying by 3
4. it would be 11 because it's subtracting 2
Answer:
x² - 12x + 27
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= x² - 13x + 36 + x - 9 ← collect like terms
= x² - 12x + 27 ← in standard form
It is very important to read and understand the words of the problem before getting down to solving the given question. Numerous information's of immense importance are already given in the question. Those information's will come in handy while solving the question.
Let us assume the unknown number to be = x
Then
3x - 2 = 13
3x = 13 + 2
3x = 15
Dividing both sides of the equation by 3, we get
(3/3) * x = 15/3
1 * x = 5
x = 5
So the unknown number is 5. I hope the procedure is not very tough for you to understand.
