A function, f(x), represents the height of a planet x months after being planted. Students measure and record the height on a mo
2 answers:
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Answer:
Step-by-step explanation:
We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.
First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.
Hence, we will have the three factors:
Where <em>a</em> is the leading coefficient.
Expand and simplify the second and third factors:
Hence:
Since f(-1) = 30:
In conclusion, third degree polynomial function is:
Answer:
<u>x = 8</u>
Step-by-step explanation:
The sides are in proportion.
- 40 / 7x + 14 = 44 / 33 + 44
- 40 / 7x + 14 = 44/77 = 4/7
- 40(7) = 4(7x + 14)
- 280 = 28x + 56
- 10 = x + 2
- <u>x = 8</u>
We have been given that an account is opened with a balance of $3,000 and relative growth rate for a certain type of mutual fund is 15% per year.
In order to tackle this problem we have to find the value of mutual fund after 5 years. For our purpose we will use compound interest formula.
,where A= amount after t years, P= principal amount, r= interest rate (decimal) and t= number of years.
After substituting our given values in above formula we will get
Now we will solve for A
Therefore, after 5 years mutual fund is worth $6034.07.