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): 12months15 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)
If we are to rewrite the equation such that we are able to clearly distinguish the exponents of each of the variables, this is,
-10p²q + 7p³q - 5q
(A) Writing this polynomial in descending order, we properly looked the exponent of the first variable and arrange it from highest to least.
7p³q - 10p²q - 5q
(B) There are three terms in the polynomial given above. Hence, the given is TRINOMIAL.
(C) The degree of the polynomial is 4 since it is the highest exponent of the term in the given.
<u><em>subsitution</em></u> means subsituteing something for another and getting the answer
the way to do this is to get an easy equation and make it equal to only one placeholder so
y=2x
so you can subsitute y for 2x anywhere you see a y
3x+y=5
subsitutute
3x+2x=5
5x=5
divide both sides by 5
x=1
subsitute
y=2(1)
y=2
<u><em>elimination</em></u> is when you elimintate one of the terms by adding the equations together and canceling som of them out
so y=2x
subtract y from both sides
0=2x-y or 2x-y=0
add this to the second equation
3x+2x+y-y=0+5
5x=5
divide both sides by 5
x=1
subsitute
y=2(1)
y=2
x=1
y=2
The distribution of the pants and the shirts illustrates probability
The probability that he winds up wearing the white shirt and tan pants is 1/8
<h3>How to determine the probability?</h3>
The number of shirts is given as:
Shirts = 4
The number of pants is given as:
Pants = 2
The probability that he winds up wearing the white shirt and tan pants is then calculated as:
P = P(White shirt) * P(tan pant)
This gives
P = 1/4 * 1/2
Evaluate the product
P = 1/8
Hence, the probability that he winds up wearing the white shirt and tan pants is 1/8
Read more about probability at:
brainly.com/question/251701