Firstly, the rate of increase of Canton = 80/7720 = 0.010
The rate of increase of HP = 120/3200 = 0.0375
Apply the formula of compound interest==> A =A'(1+i)^n
The population will be equal when the following equality is satisfied
7720(1+0.01)^n = 3200(1+0.0375)^n
or
7720x1.01^n = 3200x1.0375^n
Divide both sides by 3200 ===>(193/80)x1.01^n=1.0375^n
Negative number because -22
Answer:
f(2) = -6
General Formulas and Concepts:
Order of Operations: BPEMDAS
Substitution and Evaluation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -2x² + 4x - 6
f(2) is x = 2
<u>Step 2: Solve</u>
- Substitute: f(2) = -2(2)² + 4(2) - 6
- Exponents: f(2) = -2(4) + 4(2) - 6
- Multiply: f(2) = -8 + 8 - 6
- Add: f(2) = -6
Nicoles pattern:
1
5
17
53
161
Ian’s pattern:
0
1
3
7
15
Ordered pair:
(1, 0)
(5, 1)
(17, 3)
(53, 7)
(161, 15)
Table 1 -
Sequence 1:
9
11
13
15
17
Sequence 2:
5
8
11
14
17
Ordered pair:
(9, 5)
(11, 8)
(13, 11)
(15, 14)
(17, 17)
Table 2 -
Sequence 1:
20
16
12
8
4
Sequence 2:
20
17
14
11
8
Ordered pair:
(20, 20)
(16, 17)
(12, 14)
(8, 11)
(4, 8)
Table 3 -
Sequence 1:
1
3
7
15
31
Sequence 2:
40
24
16
12
10
Ordered pair:
(1, 40)
(3, 24)
(7, 16)
(15, 12)
(31, 10)
I think that the baby would weight 18 pounds if her weight doubles in six months
