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ASHA 777 [7]
3 years ago
14

A town has a population of 13,000 and grows at 4.5% every year what will be the population after 13 years to the nearest whole n

umber
Mathematics
1 answer:
Vlad [161]3 years ago
3 0

Answer:

23,039

Step-by-step explanation:

13,000×1.045¹³ ≅ 23,039

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A room has a maximum capacity of 396 people. How many people are allowed in the room at anytime?
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3 years ago
The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is
Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

f(x)=-0.05x^2+2.5x+5.2

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

-\infty

Factorize the given function.

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-52x+2x-104)

f(x)=-0.05(x(x-52)+2(x-52))

f(x) = -0.05 (x - 52) (x + 2)

Put f(x)=0 to find the x intercepts.

0 = -0.05 (x - 52) (x + 2)

Equate each factor equal to 0.

x=52,-2

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

0\leq x\leq 52

Therefore the reasonable domain is 0\leq x\leq 52 and option 4 is correct.

6 0
3 years ago
Find the value of x in the triangle. SU RV
kodGreya [7K]

Answer:

x = 8

Step-by-step explanation:

Δ TSU and Δ TRV are similar , thus the ratios of corresponding sides are equal, that is

\frac{TS}{TR} = \frac{TU}{TV} , substitute values

\frac{x}{x+16} = \frac{5}{15} = \frac{1}{3} ( cross- multiply )

3x = x + 16 ( subtract x from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

5 0
3 years ago
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