A small island in the middle of a river is eroding away. Each year, the island has 85% of the area from the previous year. After
one year the island has an area of 10.2 thousand square yards. Graph the sequence and describe the pattern. How much of the island is left after 6 years?
1 answer:
Answer:
see the attachment for a graph
4.53 thousand square yards remain after 6 years
Step-by-step explanation:
The area can be described by an exponential equation that multiplies the area by 0.85 when the time variable increases by 1 year. Such an equation might be ...
a(t) = 10.2·0.85^(t-1)
The graph of this is attached.
After 6 years, the equation predicts
a(6) = 10.2·0.85^(6-1) ≈ 4.53 thousand square yards
of island will remain.
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Answer:
-2x²(x + 1)(x - 4)
Step-by-step explanation:
Hello!
Factor:
Take out GCF
Think: What numbers add up to -3 and multiply to -4?
Answer: -4 and 1
Continue:
Factor by Grouping
The complete factored form is -2x²(x + 1)(x - 4)
A) exponential is the right answer.
Step-by-step explanation:
The formula used for increase after same number of time is:
We are given
A_0 = 35000
r = 3%
The function is an exponential function is the value of t can be put equal to 1,2,3,4..... which will increase the final output exponentially
Hence,
A) exponential is the right answer.
Keywords: Functions, Exponential function
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You would find the radius by halving the diameter. Then you use the equation
and you get about 28.2 meters.
and you get about 28.2 meters.