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ladessa [460]
3 years ago
11

In 2005, Capital City determined its population could be expressed by the function P(x) = -.05x + 53,708 where x is the number o

f years. Which of the following statements is true?
A) The city's population was 53,703 in 2005
B) The city's population was 53,813 in 2011
C) The city's population is increasing at a rate of .05 each year
D) The city's population is decreasing at a rate of .05 each year

I'm not to certain about my answer for this question,but I'm thinking the answer is C . But I just need to be sure of my answer.Thanks in advance .
Mathematics
1 answer:
fredd [130]3 years ago
7 0
The answer would be D because every year you are subtracting .5 because in the equation it says -.5 which means it it decreasing. hope this helps

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Jenny and her sister bought matching shirts that cost $12. They each also purchased a pair of shoes that cost the same amount. I
victus00 [196]

Answer:

Each pair of shoes cost 26$

Step-by-step explanation:

<em>find the total cost for shirts</em>

2 shirts * 12$ each

2 * 12 = 24

they spent 24$ on shirts

<em>create an equation</em>

24$ shirts + x$ shoes = 76$

24 + x = 76

<em>subtract 24 from both sides of the equation</em>

24 + x - 24 = 76 - 24

x = 76 - 24

x = 52

they bought 2 pairs of shoes that cost the same amount

52 = x + x

52 = 2x

<em>divide both sides of the equation</em>

52/2 = 2x/2

52/2 = x

26 = x

each pair of shoes cost 26$

6 0
3 years ago
A self storage center is a storage room that is 8 feet long, 6 feet wide, and 10 feet high. What is the volume of the room?
KonstantinChe [14]
The formula for volume is width * height * length or w*h*l. to do this problem you have to do 8*6*10 which is 480. so, the volume of the room is 480 ft^3 (cubed).
7 0
3 years ago
An eighth-grade teacher wants to improve how the students function in small groups. What is the best strategy for improving the
WINSTONCH [101]

Answer:

I don't think you are asking a math question, but in my opinion you should choose a leader that you think would be responsible in a group, then tell them what the group needs to do.

Step-by-step explanation:

4 0
3 years ago
What condition on the probability distribution is necessary and sufficient in order that a limiting distribution exist, and what
Sholpan [36]

Answer:

The Markov chain is a description of the sequence of possible events in which the probability of an event depends only on the state attained in a previous separate event.

Step-by-step explanation:

The relation described by the Markov chain satisfies the following conditions:

1. All states communicate with themselves, that is P₁₁⁰ = 1 ≥ 0

2. There must be symmetry: if i←→j, then j ←→i

3. There must be transitivity. That is if i ←→k and k←→j, then i←→j

The conditions above imply that the communication is an example of an equivalence relation, meaning that it shares the properties with the more familiar relation, that is

i = i , if i = j ,then j = i etc

5 0
4 years ago
Find the area of this shape. Round your answer to the nearest tenth
MrMuchimi

Answer:

The area of this figure is 31,29.

Step-by-step explanation:

We have to find also the area of the rectangle, then we will find the area of the circle and divide by 2 because here is a half circle.

area of the rectangle = b x h

area of the rectangle = 6 x 6

area of the rectangle = 36

diameter = 6

r = d : 2

r = 6 : 2

r = 3 ft

area of the circle = π x r²

area of the circle = 3,14 x 3 ft

area of the circle = 9,42 ft

area of half of circle = 9,42 : 2 = 4,71 ft

area of this figure = area of rectangle - area of half of the circle

area of this figure = 36 - 4,71

area of this figure = 31,29

So the area of this figure is 31,29.

I hope this is helpful. :)

3 0
3 years ago
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