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)
The slope intercept form is y=mx+b
in this case y=-x
y=(-1)x + 0
so the slope m=-1 and y-intercept which is b is 0
We have been given that a bucket holds 121.4 ounces (oz) of water when full.
Further, we know that the bucket loses 0.04 oz of water per second.
We need to find the time when bucket will be 60% of its full volume.
Let us first find 60% of its full volume:
If we assume that bucket will be 60% of its full volume after x seconds, we can set up an equation:
Therefore, it will take the bucket 1214 seconds to get to 60% of full.
Answer:
Area of rectangle OABC = 18 units²
Step-by-step explanation:
From the graph attached,
Vertices of the rectangle are O(0, 0), C(3, 0) and A(0, 6).
Length of side AO = 6 units
Length of side OC = 3 units
Area of the rectangle = Length × Width
= OC × AO
= 3 × 6
= 18 square units