The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.
The total speed is (120 mi)/(3 h) = 40 mi/h.
The speed ratio is ...
... Bill : Joe = 3 : 1
so the speed ratio Bill : Total is ...
... 3 : (3+1) = 3:4.
Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.
Answer:
Therefore the amount in the 4% savings account = $550
Step-by-step explanation:
i) the total amount = $1500
ii) let the amount placed in the 4% interest savings account = x
iii) let the amount placed in the 5% interest savings account = y
iv) therefore fro i) we can say x + y = 1500
v) the total interest gained = $69.5
vi) therefore we can write 0.04x + 0.05y = 69.50
vii) multiplying equation vi) with 100 we get 4x + 5y = 6950
viii) Multiplying the equation in iv) by 5 we get 5x + 5y = 7500
ix) Subtracting equation in vii) from equation in viii) we get x = $550
x) Therefore the amount in the 4% savings account = $550
Answer:
The new depth of the scuba diver is 330 feet below sea level.
Step-by-step explanation:
125 + 205 more below sea level = 330 below sea level
Answer:
A lot of work, but CD=$15, Premium=$35, and Deluxe=$85
Without using the trigonometry ratio, we can find the distance between the ship and the buoy by:
the distance between City and Lemont SUBTRACT the vertical distance between City and the point parallel to the Ship
The distance between the City and Lemont can be worked out using the Sin rule


≈98.3
The vertical distance between the City and the point parallel to the ship can be worked out using the Pythagoras theorem

≈36.8
The distance between the ship and the Buoy is given:

miles