Answer:
<em>It will take 9 years for the population to double</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.
Substituting in the equation:
Simplifying:
Taking logarithms:
Applying the exponent property of logs:
Solving for t:
Calculating:
It will take 9 years for the population to double
Flip the second fraction and change the fraction into multiplication
Also, change 2 1/2 into a improper fraction
2 1/2 = 5/2
(5/2)/(5/8) becomes 5/2 x 8/5
Multiply across
5 x 8 = 40
------- -----
2 x 5 = 10
Simplify 40/10
40/10 = 4
4 is your answer
hope this helps
replace the numbers given for x & y so
the equation becomes 3*(-3) + 2*(-4) =
3*-3 = -9
2*-4 = -8
-9 + -8 = -17
Answer:
n=0
y1 =7.005
n=1
y2=7.016
n=2
y3=7.033
n=3
y4= 7.055
n=4
y(1.4)=7.83
Step-by-step explanation: actual value of y at x=1.4 is y(1.4)=7.083
by using the numerical analysis as it is correct method to find most accurate answer. use the given data x0=0.2, y0=7, h=0.2, f(x,y)=x/y
put all the values in given function we get the answer.
Four divided by four plus four decided by four
