Answer:79y
Step-by-step explanation:
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Step-by-step explanation:
Distance = rate × time
If B is the rate of the boat, and C is the rate of the current, then we can write two equations:
18 = (B + C) × 3
18 = (B − C) × 9
Simplifying the equations:
6 = B + C
2 = B − C
Add the equations together to eliminate C:
8 = 2B
B = 4
Plug into either equation to find C:
C = 2
The boat's rate is 4 mph, and the current's rate is 2 mph.
<span>Open and closed circles are used to mark the end points of intervals.
If the circle is open, it means the end point is NOT included in the interval,
but if the circle is closed, it means the end point is included.
Consider the interval . In this interval, the low endpoint, the 3,
is not included because you have a 'less than' sign. The high endpoint, the 6,
is included because you have a 'less than or equal' sign. It is the presence
or absence of the 'or equal' part that determines whether the circle is closed
or open.
The interval would be marked on the number line with an open
circle at 3, a closed circle at 6, and a heavy line connecting the two.
</span>
Answer:
$5426.45
Step-by-step explanation:
Using the formula
APY= P(1+
P - principal
r - interest rate
n - number of compound periods
t- time
APY = 4500(1+.0125/4)^60 = $5426.45
Answer:
Rate of Bill's boat = 14 miles per hour
Speed of the current = 2 miles per hour
Step-by-step explanation:
Let x = the rate of the boat in still water and y = the rate of the current.
Distance traveled = 24 miles
Time taken for upstream motion = 2 hour
Time taken for downstream motion = 1.5 hour
Velocity of upstream motion = x - y
Velocity of downstream motion = x + y
We have
Displacement = Time x Velocity
Upstream motion
24 = 2(x-y)
x - y = 12 ----------------------------eqn 1
Downstream motion
24 = 1.5(x+y)
x + y = 16 ----------------------------eqn 2
eqn 1 + eqn 2
2 x = 28
x = 14 miles per hour
Substituting in eqn 2
14 + y = 16
y = 2 miles per hour
Rate of Bill's boat = 14 miles per hour
Speed of the current = 2 miles per hour