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
lesya [120]
3 years ago
10

Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13

000. Use an explicit exponential model to find the rate of growth and common ratio for the honey bee population. Express the rate of growth as a percentage. Round to the nearest tenth. Express the common ratio as a decimal. Round to the nearest thousandth.
Mathematics
1 answer:
Rama09 [41]3 years ago
6 0

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: P(t)=P_i(1+r)^t

where P(t) is the population at time "t",

P_i is the initial (starting) population

(1+r) is the common ratio,

and r is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and  initial population), and solve for the unknown common ratio and its related rate of growth:

P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

1+r=1.155273\\r=1.155273-1=0.155273

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

You might be interested in
How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the numbe
Thepotemich [5.8K]

Answer:

 5.93 years

Step-by-step explanation:

The continuous compounding formula tells you the amount after t years will be ...

  A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years

  7400 = 5500e^(0.05t)

  ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs

  t = 20×ln(74/55) ≈ 5.93

It will take about 5.93 years for $5500 to grow to $7400.

8 0
2 years ago
346772.99378 x 222222666886=
nordsb [41]

Answer:

7.706081948 lowecase10uppercase16

Step-by-step explanation:

I hope it helps u.

6 0
3 years ago
Solve N/3 + (-4)=-2.<br> A. 6<br> B. -18<br> C. 18<br> D. -2
Nana76 [90]

Answer:

A) 6

Step-by-step explanation:

n/3+(-4)=-2

n/3-4=-2

n/3=-2+4

n/3=2

n=2*3

n=6

6 0
3 years ago
Help on # 2 please. Thank you!
Alenkasestr [34]

Answer:

There are 9 boys in the choir

Step-by-step explanation:

To solve this, create two equivalent fractions with the information given

boys      3         x

------- = ------ = ------

girls       4         12

Then, cross-multiply

4x = 3(12)

4x = 36

x = 9

3 0
3 years ago
A.<br> B.<br> C.<br> D.<br> E.<br> please help me I suck at this
Alex17521 [72]

Answer:

E green team, because their score starts from 75 to 90, whiles the red starts from 80 to 85

5 0
2 years ago
Other questions:
  • How do I simply this radical expression?
    13·1 answer
  • To round the number to the hundredths place, what should be done first?
    15·1 answer
  • How many feet in a mile
    12·1 answer
  • Write a rule for the nth term of the geometric sequence if r=1/4 and a<br> =6
    15·1 answer
  • The bread is on sale for $1.50 so Erica is also going to buy candy or gum. Which can she afford?
    13·1 answer
  • For all real numbers a, b, and c: if a=b, then a + c = b + c. This is the ____ ____ of Equality.
    10·2 answers
  • Solve the equation.<br> 3y + 11 = -16
    12·2 answers
  • PLEASEEEEE HELPPPP ASPPPPPPP
    6·1 answer
  • Eli is moving to a new city. He packs his belongings in cube-shaped boxes that each have a volume of one cubic foot. He places t
    12·1 answer
  • Is 2.34 a rational number?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!