Each term has a t in common, so we can factor that out
25t^3 - 20t^2 + 4t = t(25t^2-20t+4)
The fact that we can factor out something that isn't 1 means that the original expression is not prime.
As for 25t^2-20t+4, it can be factored to (5t-2)^2 or (5t-2)(5t-2) following the steps below
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25t^2 - 20t + 4
25t^2 -10t - 10t + 4 ... see note below
(25t^2-10t) + (-10t + 4)
5t(5t - 2) - 2(5t - 2)
(5t-2)(5t-2)
(5t-2)^2
note: I used the AC method here. The idea is you multiply the first and last terms (25 and 4) to get 100. Then find two numbers that multiply to 100 and add to -20, which is the middle coefficient term. The two numbers in question are -10 and -10. So that's how I broke up the -20t into -10t-10t. After this step, you factor by grouping.
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Overall, the original expression fully factors to t(5t-2)^2
The fact that we can factor like this means it is <u>not</u> prime.
I have a feeling your teacher made a typo somewhere.
Answer:
A. and C. neither of them have a repeating y value if you input a vertical line on the graph
The answer is going to be 250
8. $700 at 8% for 6 years.
it could mean
1. compound interest
2. simple interest.
1. Compound Interest
that means that each year it gives you 8% on that whatever new thing so
8 %= 0.08
Each year, it is multiplied by 1.08 since you add the original (1) to the 8% 0.08
so 6 years means
700 times 1.08^6=700 times 1.08 times 1.08 times 1.08 times 1.08 times 1.08 times
1.08 = 1110.81
2. Simple Interest
So just 8% of that 700 is added on
find 8% of 700
8% of 700+0.08 times 700=0.56
6 years = 0.56 times 6 =3.36
add 3.36 + 700= 703.36
Answers are
if compound interest = $1110.81
If Simple interest = 703.36
I hope this helped
~Renee \(^_^)/