Answer:
30
Step-by-step explanation:
180 = 90 + x + 20 + x + 10
90 = 2x + 30
x = 30
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)^(180
15)
⇒ 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 / (15
12)
The monthly payment on the mortgage = 2576.9 (approximately option C)
Average speed of the entire journey is 3.08 km/hr
Step-by-step explanation:
- Step 1: In the first half, given that the speed = 4 km/h and time = 2 1/2 = 2.5 hrs. Calculate the distance covered.
Distance = Speed × Time = 4 × 2.5 = 10 km
- Step 2: In the second half, given that speed = 2 1/2 = 2.5 km/hr and time = 4 hrs. Calculate the distance covered.
Distance = 2.5 × 4 = 10 km
- Step 3: Calculate average speed.
Average Speed = Total distance/Total time
= 10 + 10/2.5 + 4 = 20/6.5
= 3.08 km/hr