9514 1404 393
Answer:
x^2 +4x -21
Step-by-step explanation:
Substitute the given expressions and simplify.
f(x) + g(x)
= (x^2 +3x -28) +(x +7)
= x^2 +(3+1)x +(-28 +7)
= x^2 +4x -21
Answer:
<h2>b = 15°</h2>
Step-by-step explanation:
If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.
We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:
m∠QPR + m∠PRQ + m∠RQP = 180°
We have
m∠QPR = m∠PRQ and m∠RQP = 60°
Therefore
2(m∠QPR) + 60° = 180° <em>subtract 60° from both sides</em>
2(m∠QPR) = 120° <em>divide both sides by 2</em>
m∠QPR = 60° and m∠PRQ = 60°
Therefore ΔPRQ is equaliteral.
ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore
m∠SPR = m∠PRS
In ΔAPS we have:
m∠SPR + m∠PRS + m∠RSP = 180°
2(m∠SPR) + 90° = 180° <em>subtract 90° from both sides</em>
2(m∠SPR) = 90° <em>divide both sides by 2</em>
m∠SPR = 45° and m∠PRS = 45°
m∠PRQ = m∠PRS + b
Susbtitute:
60° = 45° + b <em>subtract 45° from both sides</em>
15° = b
Answer:the quotient of 16 and x=4
Step-by-step explanation:
<u>The formula for the monthly payment</u>.....
![M= \frac{P(1+r)^nr}{[(1+r)^n] -1}](https://tex.z-dn.net/?f=M%3D%20%5Cfrac%7BP%281%2Br%29%5Enr%7D%7B%5B%281%2Br%29%5En%5D%20-1%7D)
, where P = the principal amount, r = the monthly interest rate and n = the total number of months.
Here annual interest rate is given as 4.5%
So, the monthly interest rate 
Total number of months 
Also given that, the principal amount is $225000
a. So, the monthly payment will be.....
![M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140](https://tex.z-dn.net/?f=M%3D%20%5Cfrac%7BP%281%2Br%29%5Enr%7D%7B%5B%281%2Br%29%5En%5D%20-1%7D%5C%5C%20%5C%5C%20M%3D%20%5Cfrac%7B225000%281%2B0.00375%29%5E3%5E6%5E0%2A0.00375%7D%7B%281%2B0.00375%29%5E3%5E6%5E0%20-1%7D%5C%5C%20%5C%5C%20M%3D%20%5Cfrac%7B225000%281.00375%29%5E3%5E6%5E0%2A0.00375%7D%7B%281.00375%29%5E3%5E6%5E0%20-1%7D%20%5C%5C%20%5C%5C%20M%20%5Capprox%201140)
Thus, the monthly payment will be approximately $1140
b. The <u>total amount paid</u> over the term of the loan will be: 
c. As the principal amount was $225000 , so the amount of interest 
So, the percentage of amount that is paid toward the principal 
and the percentage of amount that is paid toward the interest 
Answer:
z = - 0.02
Step-by-step explanation:
0.3 = -15z
0.3 / -15 = z
-0.02 = z
