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2 years ago

Hi i really need help with these 2 questions please!

Mathematics

2 answers:

djyliett [7]2 years ago

4 0

Answer:

Look at attachment

OLga [1]2 years ago

4 0

This is the answer to ur problem

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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:

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

3 0

3 years ago

F is between E & G e f equals x - 7 + e g equals 4x + 3 find f g

navik [9.2K]

Answer: FG = 3x + 10

Step-by-step explanation:

EF + FG = EG Segment Addition Postulate

x-7 + FG = 4x+3 Substitution

-7 + FG = 3x + 3 Subtraction Property of Equality

FG = 3x + 10 Addition Property of Equality

6 0

2 years ago

Domain and range for y=x^2+5x-6

enyata [817]

Step-by-step explanation:

domain is all real numbers since its quadratic: (-infinity, infinity)

Range is from -6 to positive infinity or [-6, infinity)

8 0

2 years ago

find the volume of a cylinder with a diameter of 10 inches and a height that is 3 times the radius. Use the 3.14 for pie and rou

Paul [167]

Answer:

1177.5 inches

Step-by-step explanation:

Volume of a cylinder = $\pi r^{2} *h$ , where h is the height

Radius = 10/2 = 5 radius is half the diameter

Height = 3*5 = 15 height is 3 times the radius

V = 3.14 * (5^2) * (15)

= 3.14 *25 * 15

= 1177.5

6 0

3 years ago

Which coordinate plane shows the graph of 3x + y > 9

RoseWind [281]

Well considering that you did not give any option to choose from I cant give you an answer, but the graph should look like a line with the y-intercept at 9 and the x-intercept at 3, and all of the region to the right of the line shaded

4 0

2 years ago