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Feliz [49]
2 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]2 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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romanna [79]

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B

Step-by-step explanation:

you  take away the 7 and it then b

6 0
3 years ago
Can someone help me with this question please
Olegator [25]
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3 years ago
The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another eleme
kow [346]

Answer:

The correct solution is "4.6".

Step-by-step explanation:

Given:

Interest rate,

r = 6.2%

or,

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Principle,

P = 76000

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⇒ A=P(1+\frac{r}{100} )^n

On substituting the values, we get

⇒ 100000=76000(1+\frac{6.2}{100} )^n

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⇒ n \ log_e(1.062)=log_e(\frac{100}{76} )

⇒                   n=\frac{ln(\frac{100}{76} )}{ln(1.062)}

By putting the values of log, we get

⇒                      =4.5622

or,

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5 0
2 years ago
How do you model a decimal using a fraction
stiks02 [169]
Okie dokie, 
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a 10.
(mobile) 5/10 or \frac{5}{10}
Now, decide if you can simplify. You can! 5/10 simplifies down to 1/2.
\frac{1}{2} is your answer!
--------
Example for the hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over 100!
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You can simplify this!
13/50 is your answer!

Calculators can also come in handy!
Good luck!

4 0
3 years ago
Solve for x<br><br> A. 9<br> B. 10<br> C. 42<br> D. 12
Cloud [144]

Answer:

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4 0
2 years ago
Read 2 more answers
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