3 years ago

PLEaSe HelP mE!

Mathematics

2 answers:

bazaltina [42]3 years ago

8 0

Answer:95.62

Step-by-step explanation:

Nimfa-mama [501]3 years ago

7 0

x+8<765 I'm sure I'm notnpositivr

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Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much al

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3 years ago

A town has a population of 17000 and grows at 3% every year. To the nearest year, how long will it be until the population will

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The population will reach 20,400 after 6 years.

Step-by-step explanation:

Exponential function:

$y(t)=y_0(1+r)^t$

y(t)= Population after t years

$y_0$ = initial population

r= rate of grow

t= time.

A town has a population of 17,000 and grows at a rate 3% every year.

y(t)= 20,400, $y_0$ = 17,000, r=3%=0.03, t=?

$20,400=17,000(1+0.03)^t$

$\Rightarrow \frac{20,400}{17,000}=(1.03)^t$

$\Rightarrow \frac{102}{85}=(1.03)^t$

Taking ln function both sides

$\Rightarrow ln|\frac{102}{85}|=ln|(1.03)^t|$

$\Rightarrow ln|\frac{102}{85}|=t\ ln|(1.03)|$

$\Rightarrow t=\frac{ln|\frac{102}{85}|}{\ ln|(1.03)|}$

⇒ t = 6 year.

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4 years ago