Answer: 18
Step-by-step explanation:
Area of triangle = (0.5) × base(b) × height(h)
Base of triangle = 8
Height of triangle = 15
Area of triangle = (0.5) × 8 × 15 = 60
Volume of triangular prism = B × height
Where h = height
B = area of triangle
Volume of triangular prism = 1080
Find the height(h) of the triangular prism
Volume of triangular prism = B × height
1080 = 60 × h
h = 1080 / 60
h = 18
First, determine the effective interests given both interest rates.
(1) ieff = (1 + 0.068/12)^12 - 1 = 0.07016
(2) ieff = (1 + 0.078/12)^12 - 1 = 0.08085
Calculating the interests will entail us to use the equation,
I = P ((1 + i)^n - 1)
Substituting the known values,
(1) I = ($5125)((1 + 0.07016)^1/2 - 1)
I = $176.737
(2) I = ($5125)(1 + 0.08085)^1/2 - 1)
I = $203.15
a. Hence, the greater interest will be that of the second loan.
b. The difference between the interests,
d = $203.15 - $176.737
$26.413
Answer:
The son is five years old
Step-by-step explanation:
Let the son's age be x
A man is five as old as his son, 5x
In five years, he would be three times as old as his son
In five years: son would be x+5
Father 5x+5
3(x+5)=5x+5
3x+15=5x+5
Collect like terms
15-5=5x-3x
10=2x
Divide by 2
10/2=2x/2
x=5
The son is five years old
Divide by 1000 to convert to kilometers per minute
Then multiply by 60 to convert to kilometers per hour.
Conversion factor is 60/1000 = 0.06 answer
