the population of masterton was 23 000 in 2012. Assume that Masterton population increases at a rate of 2% per year. Write an equation to model the population of masterton (y) based on number of years since 2012(x)

Answers

Answer 1
Answer: So, after a year, the population will be

23 000*1.02 (which is 23460 people).

And after two years it will be:

23460*1.02, which is 23930 people. Another way of writing it is
23000*1.02*1.02

so we can generalize: the population of the town, y= 23 000*1.02 ^(x)

where x is the number of years passed


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Which formula can be used to find the nth term of the geometric sequence below? 1/6,1,6,36

Answers

ratio = 1÷1/6 = 6÷1 = 36÷6 = 6

nth term

a_(n) = a r^(n-1) (where a is the first term)

a_(n) = (1)/(6) 6^(n-1)

Answer:

(6^(n-1))/6

Step-by-step explanation:

The nth term of a geometric series is a function of the number n, the common ratio between each successive number in the series r and the first term a. This may be expressed mathematically as

= a(r)^n-1

Given the series,

a = 1/6,

r = T2/T1 = 1/1/6 = 6

The  nth term

= (1/6)(6)^n-1

= (6^(n-1))/6

Simplify: x+2/x2-6x-16 ÷ 1/9x

Answers

(x+2)/(x^2-6x-16):(1)/(9x)=(x+2)/(x^2-8x+2x-16)\cdot9x=(x+2)/(x(x-8)+2(x-8))\cdot9x\n\n=(x+2)/((x-8)(x+2))\cdot9x=(1)/(x-8)\cdot9x=(9x)/(x-8)

Of the 120 wax statues in Tara's Wax Museum, 15% are statues of celebrities. How many wax statues of celebrities are in the museum?

Answers

I made a ratio table for this problem and got 18.
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P-4x - 3y= -26
-5x+2y= -21
Find the solution to the system of equations shown above by graphing.
A. X= 5, y= 2
B. X= 5, y=3
C. X= 2, y = 5
D. x= 6, y= 2
PLEASE EXPLAIN!!!

Answers

The answer is A because if u graph it it would be right

A similarity transformation maps polygon ABCD to polygon PQRS. If the length of is 6 and the length of the corresponding side, , is 12, what is the scale factor of dilation?

Answers

6 to 12
1/2

factor is 1/2

Answer:

0.5

Step-by-step explanation:

Transform the polynomial into a perfect square trinomial to solve x^2-4x=5
a){-5,13}
b){-7,11}
c){1,7}
d){-1,5}

Answers

x² - 4x = 5 ⇒ x² - 4x - 5 = 0

x² ⇒ x * x
-5 ⇒ -5 * 1
-4 ⇒ -5 + 1

(x + 1)(x - 5) = x(x-5) + 1(x-5) 
x² - 5x + 1x - 5 = x² - 4x - 5

x + 1 = 0
x  = -1

x - 5 = 0
x = 5

y = x² - 4x - 5
y = -1² - 4(-1) - 5
y = 1 + 4 - 5
y = 5 - 5
y = 0

y = x² - 4x - 5
y = 5² - 4(5) - 5
y = 25 - 20 - 5
y = 0