You bought $2000 worth of stocks in 2012. The value of the stocks has been decreasing by 10% each year. What will your stock be
worth after 6 years? Round your answer to the nearest cent.
1 answer:
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Answer:
Step-by-step explanation:
In order to solve this it is always a good idea to start by drawing a diagram of the situation (See attached picture).
From the diagram we can see that we are dealing with similar triangles. We can use similar triangles to build an equation that relates the length of the shadow with the height of the lamp, so we get:
the height of the lamp can be found by subtracting the distance the lamp falls in a given time t from the original 30ft the lamp was located at.
So the equation will now lok like this:
So now we can solve the equation for L, we can start by multiplying by the LCD SO WE GET:
next, we can distribute the right side of the equation so we get:
and subtract 6L from both sides so we get:
and factor L, so we get:
and solve for L:
now, we can differentiate this equation by using the chain rule, so we get:
which can be simplified to:
and now we can substitute t for 1s so we get:
Answer: 3.84 m
Step-by-step explanation: The biggest clue here is that the scale factor is 1:12.
1:12=32:
To find , multiply 32 by 12. 32x12 is 384. You can't say the answer is 384, however, since the label for the actual water tower says "m" for meters instead of "cm" like for the model. 384 cm is equal to 3.84 m.
Hope this helped! ;)