By reading the given graph with the two linear functions, we want to see at which time do the two bees have the same distance remaining. We will see that the correct option is B, 6 minutes.
So, in the graph, we have distance remaining on the vertical axis and time on the horizontal axis.
We also have two lines, each one describing the distance of each bee as a function of time.
We want to see at which time do the two bees have the same distance remaining, thus, we need to see when the lines intersect (this means that for the same time, the two bees have the same distance remaining).
In the graph, we can see that the intersection happens at the time of 6 minutes, thus the correct option is B; 6 minutes.
If you want to learn more about linear function's graphs, you can read:
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Answer:
The true statements are (D) and (E). This is a square with sides equal to 5 units so that means that its perimeter is 4×(5 units) or 20 units and its area is (5 units)×(5 units) or 25 units^2.
Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.
We have given that,
investment to double at a 3 3/4% interest rate,
<h3>When will the investment double in value?</h3>
The future value using continuous compounding is:
= Amount x e ^ (rate x time)
Interest is
= 3.75%
<h3>What is the formula of an exponential function?</h3>
2 = e ^ (0.0375 x time)
In2 = 0.0375 x time
t = In2 / 0.0375
t= 18.5 years
To learn more about the compounded continuously visit:
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For this case we must find the inverse of the following function:
Then, we follow the steps:
We change by y:
We exchange the variables:
We clear the variable "y":
We change y for
Answer:
The points are at (8,0) and (0,6)