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Nutka1998 [239]
3 years ago
13

Help please it’s due tomorrow.

Mathematics
1 answer:
____ [38]3 years ago
8 0
What so you need to know?
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A certain city's population is 120,000 and decreases 1.4% per year for 15 years.
mart [117]

Answer:

  • Decay Problem.
  • Decay rate,  r = 0.014
  • Initial Amount =120,000
  • P(t)=120000(0.986)^t
  • P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

  • Since the population decreases, it is a Decay Problem.
  • Decay rate, r=1.4% =0.014
  • Initial Amount =120,000

Therefore, the function is:

P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t

When t=10 years

P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)

8 0
3 years ago
If a is the average (arithmetic mean) of 4x and 7, b is the average of 5x and 6, and c is the average of 3x and 11, what is the
Debora [2.8K]

Answer:

2x+4

Step-by-step explanation:

Given that a is the average (arithmetic mean) of 4x and 7, b is the average of 5x and 6, and c is the average of 3x and 11

By definition of arithmetic mean,

we have a=\frac{4x+7}{2} \\b=\frac{5x+6}{2} \\c=\frac{3x+11}{2}

Let us calculate sum of a,b,c in terms of x

a+b+c = \frac{4x+7+5x+6+3x+11}{2} \\=6x+12

Average = sum/3 = \frac{6x+12}{3} =2x+4

7 0
3 years ago
Help me please :) thanks
Fiesta28 [93]

Answer:

20 and 90

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
We can calculate the depth ddd of snow, in centimeters, that accumulates in Harper's yard during the first hhh hours of a snowst
inna [77]

Answer:

0.2 hours

Step-by-step explanation:

The depth, d of snow (in cm) that accumulates in Harper's yard during the first h hours of a snowstorm can be calculated using the equation:

d=5h

When d=1cm, we want to determine the value of h.

1=5h

h=1/5=0.2

Therefore, it takes 0.2 hours for 1 centimeter of snow to accumulate in Harper's yard.

3 0
3 years ago
Need help! ASAP! With algebra
dimaraw [331]

Answer:

2;4;3

Step-by-step explanation:

y=2x²+4x+3

4 0
3 years ago
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