Answer: 165
Step-by-step explanation:
Exponential equation for decay :
, where A is the value after t year, P = initial value.
As per given ,
P= 2378
t= 20 years
r = 12.5% = 0.125
Now ,
Hence, the population of the town in 2015 = 165
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Answer:
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The equations to transform from Cartesian to polar :
x = r cos θ , y = r sin θ
Or
x² = r² cos² θ , y² = r² sin² θ
To <span>represent the Cartesian equation x²−y²=1
substitute with the values of </span><span>x² and y²
</span>
∴ r² cos² θ - r² sin² θ = 1
r² (cos² θ - sin² θ) = 1
but cos² θ - sin² θ = cos 2θ
∴ r² cos 2θ = 1
r² = 1/cos 2θ
∴ r² = sec 2θ ⇒⇒⇒⇒ The required equation
