1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RideAnS [48]
3 years ago
15

“If a population is growing at a rate of 3% per year, how long will it take to double? Show work.”

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0
24 yrs, might not be the answer

3%=0.03 you have to get to 6%=0.06

So you find the value of each month in 3%

So 3% divided by 12 months = 0.0025

Now you have the value of each month MULTIPLY until you get 0.06
So: 0.0025 x 1, 2, 3, 4,…….. and so forth

So the your result will be

0.0025per months x 24yrs = 0.06 = 6%

24 years
You might be interested in
Find the arc length of the given curve between the specified points. x = y^4/16 + 1/2y^2 from (9/16), 1) to (9/8, 2).
lutik1710 [3]

Answer:

The arc length is \dfrac{21}{16}

Step-by-step explanation:

Given that,

The given curve between the specified points is

x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}

The points from (\dfrac{9}{16},1) to (\dfrac{9}{8},2)

We need to calculate the value of \dfrac{dx}{dy}

Using given equation

x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}

On differentiating w.r.to y

\dfrac{dx}{dy}=\dfrac{d}{dy}(\dfrac{y^2}{16}+\dfrac{1}{2y^2})

\dfrac{dx}{dy}=\dfrac{1}{16}\dfrac{d}{dy}(y^4)+\dfrac{1}{2}\dfrac{d}{dy}(y^{-2})

\dfrac{dx}{dy}=\dfrac{1}{16}(4y^{3})+\dfrac{1}{2}(-2y^{-3})

\dfrac{dx}{dy}=\dfrac{y^3}{4}-y^{-3}

We need to calculate the arc length

Using formula of arc length

L=\int_{a}^{b}{\sqrt{1+(\dfrac{dx}{dy})^2}dy}

Put the value into the formula

L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4}-y^{-3})^2}dy}

L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-2\times\dfrac{y^3}{4}\times y^{-3}}dy}

L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-\dfrac{1}{2}}dy}

L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4})^2+(y^{-3})^2+\dfrac{1}{2}}dy}

L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4}+y^{-3})^2}dy}

L= \int_{1}^{2}{(\dfrac{y^3}{4}+y^{-3})dy}

L=(\dfrac{y^{3+1}}{4\times4}+\dfrac{y^{-3+1}}{-3+1})_{1}^{2}

L=(\dfrac{y^4}{16}+\dfrac{y^{-2}}{-2})_{1}^{2}

Put the limits

L=(\dfrac{2^4}{16}+\dfrac{2^{-2}}{-2}-\dfrac{1^4}{16}-\dfrac{(1)^{-2}}{-2})

L=\dfrac{21}{16}

Hence, The arc length is \dfrac{21}{16}

6 0
3 years ago
Help will give Brainly points due in a hour!!
blondinia [14]

you can compare the length of sides of both the triangles...

4 0
2 years ago
Read 2 more answers
HELP ASAP PLS AHHHHHH
Arada [10]

Answer:

23 tables were used that day at lunch.

Step-by-step explanation:

203 - 19 = 184

184 ÷ 8 = 23

3 0
2 years ago
You know that 60% of students in a school are participating in a fundraiser. If between 200 and 400 students are participating,
allsm [11]
So i think in the school there may be 4800 in the school. Hope this helps
8 0
2 years ago
Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p?
ikadub [295]

Answer:

56

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • The area of a rectangle is 60 cm2 If the width of the
    14·1 answer
  • What is the equation of the line that passes through (4,2) and is parallel to 3x-2y=-6
    8·1 answer
  • The women's department of a store stocks 4 types of black socks for every 5 types of white socks. The men's department stocks 6
    7·1 answer
  • How many solutions exist for the given equation?
    13·1 answer
  • What steps should be taken to complete the conversion? StartFraction 8 miles Over 1 EndFraction times StartFraction 1.61 kilomet
    8·2 answers
  • You want to buy a $24,000 car. You can make a 10% down payment, and will finance the balance with a 5% interest rate for 36 mont
    9·1 answer
  • Simplify completely -1/2(6n + 4) + 2n <br><br> (!! NEED BY 1/29/20!!)
    10·1 answer
  • CAN someone pls help me!!!
    8·1 answer
  • The sum of two rational number is -3 .If one of them is-15/7 find the other. step explanation ​
    15·2 answers
  • Consider the graph shown.<br> the<br> Which function could this graph represent?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!