By similarity of triangles we have the following relationship:
(YZ) / (XZ) = (ef) / (df)
Substituting values we have:
(10) / (15) = (8) / (df)
Clearing we have:
df = (15/10) * (8)
df = 12 meters
Answer:
The value of DF is given by:
df = 12 meters
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)
Answer:
x- 5
y- 6
Step-by-step explanation:
A proportional relationship is a relationship for which a proportional constant y/x exists and for which it passes through (0,0) or the origin.
The proportional constant is 6.
18/3=6
42/7=7
54/9=6
Thus the filled in blanks should be x 1, 3, 5, 7, 9 and y 6, 18, 30, 42, 54.
Pythagorean theorem a^2+b^2=c^2
Given:
f(x) = x²
g(x) = 4x²
Therefore
g(x) = 4f(x)
This means that the value of g(x) is 4 times the value of f(x). So the graph og (x) is the graph of f(x) vertically stretched by a factor of 4.
The graph shown below confirms the conclusion.
Answer: C.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.