Answer:
Step-by-step explanation:
The salaries are the same. Only the fraction of how much is saved is quite different.
Equation
x ( 9/11 - 7/9) = 1584
Explanation: The salary amount is x. The fractional amounts saved are also given. You have to take the difference because one of the people saves more than the other.
The amount that is more is 1584.
Solution
9/11 = 0.8182
7/9 = 0.7778
9/11 - 7/9 = 0.8182 - 0.7778 = 0.0404
Put that into the equation.
x(0.0404) = 1584 Divide by 0.0404)
x(0.0404) = 1584/0.0404
answer:x = 39204
Answer:
13
Step-by-step explanation:
247/19=13
Answer:
The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h
Step-by-step explanation:
At noon the location of Lan = 300 km north of Makenna
Lan's direction = South
Lan's speed = 60 km/h
Makenna's direction and speed = West at 75 km/h
The distance Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km
The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km
The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km
Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.
By Pythagoras' theorem, we have;
s² = x² + y²
The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61
ds²/dt = dx²/dt + dy²/dt
2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt
2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900
ds/dt = 900/(2×30·√61) ≈ 1.92
The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h
Answer:
157
Step-by-step explanation:
8.00 +(0.06x) = 18.27
0.08x = 18.27 - 6.00
0.08x = 12.56
12.56/0.08=
157
