<span>7n + 4 - 5n <= 2(n+2)
Let's simplify these expression first
2n + 4 <= 2(n + 2)
2(n +4) = 2n + 4
The LHS and RHS expressions are the same but the inequality says contrary
Hence 2n + 4 is not less than but equal to 2(n + 2).
7+ 6a >= -4(2-a) - 2a
-4(2-a) - 2a = -8 + 4a - 2a = -8 + 2a. It should be obvious that 7 +6a is greater than the RHS expression.
Suppose a= 2 then we have 7 + 6(2) = 19 while -8 + 2(2) = - 8 + 4 = -4 So it follows that 7 + 6a >= -4(2-4) -2a
4x >= 8. The expression is always true so the equal to option is out.</span>
Answer:
Explanation:
The table that shows the pattern for this question is:
Time (year) Population
0 40
1 62
2 96
3 149
4 231
A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.
Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.
Thus you must find both P₀ and r.
<u>1) P₀ </u>
Using the first term of the sequence (0, 40) you get:
P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀
Then, P₀ = 40
<u> 2) r</u>
Take two consecutive terms of the sequence:
- P(1) / P(0) = 40r / 40 = 62/40
You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55
<u>3) Model</u>
Thus, your model is P(x) = 40(1.55)ˣ
<u> 4) Population of moose after 12 years</u>
- P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
Answer: Yes, you can find the original price of the phone case. The phone case was $560
Step-by-step explanation:
42.00 divided by 25% is $168
$168 divided by 30% is $560
3.25 x 18 = 58.50
1000 - 58.50 = 941.50
Answer is 941.5
