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DENIUS [597]
10 months ago
5

The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities

(in thousands of people) in terms of the number of years x since 2000.The population of City A in 2000 was 40 thousand people and the population increased by 13% each year. The function f determines the population of this city (in thousands of people) in terms of x.Write a function formula for f.f(x)=The population of City B in 2000 was 40 thousand people and the population increased by 16% each year. The function g determines the population of this city (in thousands of people) in terms of x.Write a function formula for g.g(x)=The population of City C in 2000 was 40 thousand people and the population increased by 10 thousand people each year. The function h determines the population of this city (in thousands of people) in terms of x.Write a function formula for h.h(x)=
Mathematics
1 answer:
monitta10 months ago
7 0

So, here we have an exponential function.

Remember that an exponential function has the form:

y=a(b)^x=a(1\pm\frac{r}{100})^x

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).

So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

\begin{gathered} a=40 \\ b=1+\frac{13}{100}=1.13 \end{gathered}

So,

f(x)=40(1.13)^x

For city B:

\begin{gathered} a=40 \\ b=1+\frac{16}{100}=1.16 \\ g(x)=40(1.16)^x \end{gathered}

But something different happens with city C. This is not an exponential function, this is a linear function.

So,

h(x)=40+10x

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Veronika [31]

26 to nearest year

We require the total of the sums of ages for both groups before calculating the mean for all 16

using mean = \frac{sum}{count}

Women

27 = \frac{sum }{9} ( cross- multiply )

sum = 9 × 27 = 243

Men

25 = \frac{sum}{7} ( cross- multiply )

sum = 7 × 25 = 175

Total sum of all 16 = 243 + 175 = 418

mean = \frac{418}{16} = 26 ( to nearest year )


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3 years ago
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Lorico [155]
The Vertical angle for <HKJ is <OKL or #12
6 0
2 years ago
Find the area of the shaded part of the figure
Lesechka [4]

Answer:

39.13 units²

Step-by-step explanation:

Height of the triangle:

10cos(30) = 5sqrt(3)

Radius = ⅓(5sqrt(3)) = 5sqrt(3)/3

Triangle - circle

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5 0
3 years ago
A farmer wants to build a new grain silo. The shape of the silo is to be a cylinder with a hemisphere on the top, where the radi
notsponge [240]

Answer:

The radius of the silo should be 16\ ft

Step-by-step explanation:

we know that

The volume of the grain silo is equal to the volume of the cylinder plus the volume of a hemisphere

V=\pi r^{2} h+\frac{4}{6}\pi r^{3}

we have

V=35,500\pi\ ft^{3}

h=4D=8r

substitute the values and solve for r

35,500\pi=\pi r^{2} (8r)+\frac{4}{6}\pi r^{3}

Simplify

35,500=r^{2} (8r)+\frac{4}{6}r^{3}

35,500=8r^{3}+\frac{2}{3}r^{3}

35,500=\frac{26}{3}r^{3}

r^{3}=35,500*(3)/26

r=16\ ft

5 0
3 years ago
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