3 years ago

Please help me with this.

Mathematics

1 answer:

Lelechka [254]3 years ago

8 0

It takes 12 minutes to fill the bathtub!!

hope this helps ;))

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The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

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3 years ago

What is the final amount if 588 is decreased by 3% followed by a 6% increase?

Kaylis [27]

Answer:

604.58

Step-by-step explanation:

because hegarty says its 604.58

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3 years ago

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yulyashka [42]

Answer:

Measure of angle 2 is 42.

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If RS= 3x + 1 , ST= 2x -2 , RT= 64 , fine the value of x

Novay_Z [31]

The answer is

RS=3 x 2 + 1, ST= 2 x 4 -2, RT= 64, i'm sorry if it didn't help

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3 years ago

Solve for the value of z

zloy xaker [14]

Answer:

Step-by-step explanation:

The two angles shown are a linear pair. Their sum is 180°.

(4z -8)° +(3z +6)° = 180°

7z = 182 . . . . . . . . . divide by °, add 2

z = 26 . . . . . . . . . . divide by 7

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2 years ago

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