Answer:
(n + 1)(3n + 7)
Step-by-step explanation:
3n² + 10n + 7
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × 7 = 21 and sum = + 10
The factors are + 3 and + 7
Use these factors to split the n- term
3n² + 3n + 7n + 7 ( factor the first/second and third/fourth terms )
3n(n + 1) + 7(n + 1) ← factor out (n + 1) from each term
= (n + 1)(3n + 7) ← in factored form
To begin lets say year one the population is 2,000
assume this in percent we can say that 2,000=100%
at the end of this year the population will have grown by 4% meaning that
100%+4% will be the new population =104%
but we know that 100%=2,000 so what about 104%=X?
so (104*2000)/100=2,080
So year 1 the population will have grown by 80 people amounting to 2080 people.
Now do it manually year by year until we reach the 15th year. i will help you up to year 3
2nd year= (2080*104)/100=2163.2
3rd year= (2163*104)/100=2249.728
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Five is b
Six is a
Seven is a
Goood day now
Let's call x the price of a box of slime.
Gianna spent 4 × $58 for art supplies so 4(58) + 8x all together. We have
392 ≤ 4(58) + 8x ≤ 472
We can work with both inequalities at once. 4(58)=232 so we subtract that from all three sides.
160 ≤ 8x ≤ 240
Divide all three sides by 8, a positive number so the inequalities don't flip.
20 ≤ x ≤ 30
Answer: Least: $20, Most: $30
