8,000,000 pennies equals $80,000. 1/.05=20
20 x $80,000=$1,600,000 more that the bank was able to lend
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The minimum and maximum number of hours the plane will travel at that speed are; at least 0.875 hours and at most 1.375 hours
<h3>How to Solve Absolute Value Inequality?</h3>
We are given that the speed of the plane is 200 miles per hour.
Now, formula for time taken is;
Time = Distance/Speed
If the speed is 225 ± 50 miles, then it means that;
Maximum distance = 275 miles
Minimum distance = 175 miles
Thus, we can say that;
Minimum number of hours = 275/200 = 1.375 hours
Maximum number of hours = 175/200 = 0.875 hours
Read more about Absolute Value Inequality at; brainly.com/question/13282457
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Answer: B
Step-by-step explanation:
By the intersecting chords theorem, (3)(5)=4x, meaning x=3.75.
Answer:
k = 5
Step-by-step explanation:
The given line is y = 4x - 14.
The given point is (k, k + 1).
For this point, x = k and y = k + 1.
You substitute these equations into the line's equation to find the value of k.
(x = k)
(y = k + 1)
y = 4x - 14
(k + 1) = 4(k) - 14
Solve for k.
k + 1 = 4k - 14
Subtract k from both sides.
1 = 3k - 14
Add 14 to both sides.
15 = 3k
Divide both sides by 3.
15/3 = k
Simplify.
5 = k
And that's the answer!
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Answer:
90.6m
Step-by-step explanation:
Initial speed = 8m/s
Time = 4.3 s
In studying the motion of an object, we often make use of kinematic equation
s = ut + 1/2at^2
v^2 = u^2 + 2as
a = (v - u) / t
v = final velocity
u = initial velocity
s = distance or height
t = time
a = acceleration due to gravity
Given time to hit the ground as 4.3s, we calculate the height by using
s = ut + 1/2at^2
Since the stone is moving against gravity, a is negative
u = 0
s = 0(4.3) +1/2(-9.8)(4.3)^2
s = -90.6m
The height of the cliff is 90.6m
