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Feliz [49]
3 years ago
14

The population of a town is 15,000. It decreases at a rate of 8% per year. In about how many years

Mathematics
1 answer:
Paha777 [63]3 years ago
4 0

Answer:

5

Step-by-step explanation:

If a population is decreasing by 8% we can multiply the population by 92% (1-.08)

which means we have the following equation

population=15000(.92)ⁿ

where n is the number of years

we want to know when the population will be 10,000 so we write

10,000=15,000(.92)ⁿ

.66667=.92ⁿ

a rule we have is

n=y^x\\log_yn=x

which means that

.66667=.92^n\\=log_{.92}.66667

compute this and get

4.867

round this up to 5

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Anna11 [10]
1. A. y and 1.2y are like terms. c they both contain the same term (y) and can therefore be combined.

2. B. 12x+11 (you have to combine the like terms)

3. 15y+18-4
C. 15y+14 (you must distribute the 3 to inside the parentheses, so 3×5y and 3×6)

4. 9(9-3p) (you have to find a common factor between the terms, in this case 9, and you place it on the outside of the parentheses, while dividing that factor from those terms, which are placed in parentheses.
6 0
3 years ago
There were 18 students running in a race. How many different arrangements of first, second, and third place are possible?
swat32

Answer:

There are 18 choices for first place, 17 for second, and 16 for third.

Therefore, there are 18 x 17 x 16=4896

So there are 4,896 ways possible

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

8 0
2 years ago
If 2:7 is expressed in the form for 4. Find the value of x.​
Lelechka [254]

Answer:

x = 14

Step-by-step explanation:

Given that,

2:7 is expressed in the form for 4:x.

We need to find the value of x.

2:7 must be equated to 4:x.

So,

2:7=4:x\\\\or\\\\\dfrac{2}{7}=\dfrac{4}{x}\\\\x=\dfrac{7\times 4}{2}\\\\x=14

So, the value of x is equal to 14.

5 0
3 years ago
Six times a number is equal to 10 less than the sum of the number and 3. What is the number?
saul85 [17]

Answer:

n = -7/5

Step-by-step explanation:

Let n = number

6n = (n+3) -10

Combine like terms

6n= n-7

Subtract n from each side

6n-n=n-n-7

5n = -7

Divide by 5 on each side

5n/5 = -7/5

n = -7/5

5 0
3 years ago
There are 60 students in a class. Among them,20 students are girls .Find the ratio ofa. Boys and total studentsb. girls and tota
valina [46]

Answer:

Girls to boys = 1:2

Girls to students = 1:3

Boys to students = 2:3

Step-by-step explanation:

So, let's subtract the number of girls from the number of students in the class:

60 - 20 = 40

This means that for every 20 girls there are 40 boys in the ratio of girls to boys:

20:40

This can be simplified down by factoring, here we can divide by 20:

(20 ÷ 20) : (40 ÷ 20)

1:2

So the ratio of girls to boys is 1:2

The ratio of boys to students can be calculated via:

40:60

This can be simplified by dividing by 20 again:

(40 ÷ 20) : (60 ÷ 20)

2:3

So the ratio of boys to students is 2:3

The ratio of girls to students can be put in a ratio of:

20 : 60

This can be simplified down by dividing by 20:

(20 ÷ 20) : (60 ÷ 20)

1:3

So the ratio of girls to students is 1:3

Hope this helps!  

4 0
3 years ago
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