P = A.e^(r.t) is the population growth formula, where A is the initial population in a given year, exponent "r" =growth rate and exponent t = time
A₍₁₉₉₅₎ = 184 Mil. after t = 7 years, P₍₂₀₀₂₎ = 188 Mil
Let's calculate te growth rate:
P₍₂₀₀₂₎ = A₍₁₉₉₅₎.e^rt
188 = 184.e(^7r)
188/184 = e^(7r)
ln(188/184) = 7.r.lne
0.0215 = 7.r and r = 0.0030 = 0.3%
Population in 2006
P₍₂₀₀₆₎ = P₍₂₀₀₂₎.e⁽⁰.⁰⁰³ˣ⁴
P₍₂₀₀₆₎ = 188.e⁰.⁰¹² = 190.2 Mil
Answer: 320 toys
Step-by-step explanation:
We can use an expression to solve this question.
8 (25 + 15)
8 (40)
320
Using Triangle sum theorem you add all the angles to make 180. So 47.7+51.1+<1=180
98.8+<1=180
-98.8 -98.8
<1= 81.2
Answer:
21 and 14
Step-by-step explanation:
The relationship between x and y is proportional thus the equation is
y = kx ← k is the constant of proportion
To find k use the ordered pair y = 84 when x = 28 , then
84 = 28k ( divide both sides by 28 )
k = 3
y = 3x ← equation of proportion
When x = 7 , then
y = 3 × 7 = 21 ← value required in top table
When y = 42 , then
42 = 3x ( divide both sides by 3 )
x = 14 ← value required in lower table
Answer:
x=7
Step-by-step explanation:
Step 1: Subtract 4x from both sides.
x+30−4x=4x+9−4x
−3x+30=9
Step 2: Subtract 30 from both sides.
−3x+30−30=9−30
−3x=−21
Step 3: Divide both sides by -3.
−3x
−3
=
−21
−3
<u><em>The sides of a rhombus are all congruent (the same length.)</em></u>
