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

which means that

compute this and get
4.867
round this up to 5
Answer: 29/28
Step-by-step explanation:
To add fractions we have to calculate the Least Common Denominator of the denominators. Then we have to change each fraction (using equivalent fractions) to make their denominators the same as the Least Common Denominator. Then we can add (or subtract) the fractions.
LCD (4,7,2)= 4·7 = 28
1/4 = 7/28
2/7 = 4·2/28 = 8/28
1/2 = 14/28
Since the fractions have the same denominator we can add them
7/28 + 8/28 + 14/28 = (7+8+14)/28 = 29/28
Answer:
1.35759 x 10 ⁹
Step-by-step explanation:
i hope this helped
I'm guessing the equation should read something like

or possibly with minus signs in place of +.
Multiply both sides by
to get

Now substitute

to transform the equation to

which simplifies to

The ODE is now separable.

Integrate both sides. On the left, substitute




Solve for
.



Put this back in terms of
.

Put this back in terms of
.

Solve for
.



