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Svetllana [295]
3 years ago
7

The population of a town in 2014 was 78,918 people with an annual rate of increase of about 1.7%. Which type of function can rep

resent this situation?
A) Linear
B) Exponential
Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0

Answer:

B.  Exponential.

Step-by-step explanation:

Each year you can find the estimated population for the following year by multiplying by  1 + 1.7%  = 1.017.

The population estimate in  x years time =  78,918 (1.017)^x.

Temka [501]3 years ago
6 0

Answer: The answer is B

Step-by-step explanation:

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who does the number, of zeros in the product of 8 and 5000 compara to the number of zeros in the factors ? explain.
mezya [45]
If one of the numbers we multiply (factors) has zeros at the end, and the other isn't a fraction: all those zeros will stay in the product.

But there might be additional zeros if the other numbers  in the factors (the numbers which aren't 0) mupliply  to  "end" in zero and this is the case here:

8*5=40.

so the product will be 40 and the zeros of the 5000:

40 000

the number of zeros in the product will be bigger than the number of zeros in the factors if the non-zero parts of the fractions multiply to a number with 0 at the end.
4 0
2 years ago
find the x-intercepts of the parabola with vertex(6,27) and y-intercept (0,-81). write answer in form (x1,y1)(x2,y2). if necessa
sergey [27]
The vertex form of the equation is:
y = a ( x - h )² + k
- 81 = a ( 0 - 6 )² + 27
- 81 = 36 a + 27
- 108 = 36 a
a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
y = - 3 x² + 36 x - 81
y = - 3 ( x² - 12 x + 27 )
x² - 12 x + 27 = 0
x² - 9 x - 3 x + 27 = 0
x ( x - 9 ) - 3 ( x - 9 ) = 0
( x - 9 ) ( x - 3 ) = 0
x 1 = 3,  x 2 = 9
Answer:
The x-intercepts are ( 3, 0 ) and ( 9, 0 ).
7 0
3 years ago
Read 2 more answers
In △ABC, point D∈ AB with AD:DB=5:3, point E∈ BC so that BE:EC=1:4. If AABC=40 in2, find AADC, ABDC, and ACDE.
DIA [1.3K]

Answer: Using the proportions between the segments, the area of the triangles are:

1. Area of triangle ADC is 25 in^2.

2. Area of triangle BDC is 15 in^2.

3. Area of triangle CDE is 12 in^2.


Please, see the attached files.

Thanks.

8 0
3 years ago
Which of the following is equivalent to –(–5.25) ? 5 5.25 –5 –5.25<br>please answer fast​
Marina86 [1]

Answer:

The equivalent to -(-5.25) = 5.25

Step-by-step explanation:

Given

-(-5.25)

We need to determine the equivalent to -(-5.25)

some of the sign rules are:

+(+) = +      

−(−) = +

+(−) = -

−(+) = -

Thus,

-(-5.25)

Applying the rule: -a(-a) = a

=5.25

Therefore, the equivalent to -(-5.25) = 5.25

5 0
2 years ago
Read 2 more answers
The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba
siniylev [52]
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

x(x+5)=204 \\&#10;x^2+5x=204 \\&#10;x^2+5x-204=0 \\&#10;x^2+17x-12x-204=0 \\&#10;x(x+17)-12(x+17)=0 \\&#10;(x-12)(x+17)=0 \\&#10;x-12=0 \ \lor \ x+17=0 \\&#10;x=12 \ \lor \ x=-17

The length of the base of a parallelogram must be a positive number, so x=12.

\hbox{the base:} \\ x=12 \\ \\&#10;\hbox{the height:} \\ x+5=12+5=17

The base is 12 feet long, the height is 17 feet long.
8 0
3 years ago
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