I got x=0 because I simplified both sides of the equation and then isolated the equation
Answer:
32
Step-by-step explanation:
1/2.23 = x/71.36
2.23x = 71.36
x = 32
Answer:
BC ≈ 1.40
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = 35°
Opposite Leg BC = <em>x</em>
Adjacent Leg AC = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [Tangent]: tan35° = x/2
- Isolate <em>x</em>: 2tan35° = x
- Rewrite: x = 2tan35°
- Evaluate: x = 1.40042
- Round: x ≈ 1.40
Answer:St = 6700000(1 - 1.04^t ) / 0.76
Step-by-step explanation:
Since the population is growing exponentially at a continuous rate of 0.24 percent a year, then a geometric progression is defined. The formula for the sum of n terms, Sn of a geometric progression is expressed as
Sn = a(r^n - 1)/r - 1
Where
a is the first term of the sequence
n is the number of terms
r is the common ratio
From the given information,
a = 6.7 million
r = 0.24
n = t
St = the population after t years
The expression for the population as a function of time in years will be
St = 6700000(1.04^t - 1)/(0.24-1)
Since 0.24 is lesser than 1, it can be rewritten as
St = 6700000(1 - 1.04^t ) / (1 - 0.24)
St = 6700000(1 - 1.04^t ) / 0.76
