Which of the following is closest to 1/2 + 1/3
2 answers:
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Answer:
The tip of the man shadow moves at the rate of
Step-by-step explanation:
Let's draw a figure that describes the given situation.
Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.
Here it forms two similar triangles.
Let's find the distance "y" using proportion.
From the figure, we can form a proportion.
Cross multiplying, we get
15(y -x) = 6y
15y - 15x = 6y
15y - 6y = 15x
9y = 15x
y =
We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).
----(1)
We are given . Plug in the equation (1), we get
Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.
<h2>The bond will be worth in total after 10 years is =$1,950</h2>
Step-by-step explanation:
Given,
Nora invested $1,500 in at a bond simple interest rate of 3%
here P= $1500 R= 3% and t = 10year
Simple interest(I) =
=$
=$ 450
<h3>The bond will be worth in total after 10 years is = $1,500+ $450</h3><h3> =$1,950</h3>