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
Oksana_A [137]
2 years ago
5

A population of rabbits on a farm grows by 12% each year. Assume that this increase occurs as new baby rabbits at the beginning

of each new year. Define a sequence {rn} describing the rabbit population at the beginning of each year. Suppose that the sequence starts with r1 = 30. for the first year. As the sequence is a model for the actual population, we accept fractional numbers in the sequence. (a) Determine r12. Determine a formula for rn, for general n. (b) If each rabbit consumes 10 pounds of rabbit food each year, then how much rabbit food is consumed during the 10th year? How much rabbit food is consumed in total for the 1st through 10th years? Express this as a summation and as an exact number.
Mathematics
1 answer:
jolli1 [7]2 years ago
6 0

Answer:

a) r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

b)

- rabbit food consumed during the 10th year is approximately 832 pounds

- rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

Step-by-step explanation:

Given that:

r1 = 30 and a farm grows by 12%

a = 30 and the common ratio r = 1.12

now

n           r

1        30.00

2       33.60

3       37.63

4       42.15

5       47.21

6       52.87

7       59.21

8       66.32

9       74.28

10      83.19

11       93.18

12      104.36

Therefore r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

b)

if each rabbit consume 10 lbs of rabbit food each year

n           r                food consumed(lbs)

1        30.00               300

2       33.60               336

3       37.63                376

4       42.15                422

5       47.21                472

6       52.87               529

7       59.21                592

8       66.32               663

9       74.28               743

10      83.19                832

total                          5265

Therefore, the rabbit food consumed during the 10th year is approximately 832 pounds

And the rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

You might be interested in
On mars if you hit a baseball, the height of the ball
Finger [1]
9ft because science                                                                                                                                                                                    
5 0
3 years ago
For what value of c will this function have one zero?<br> f(x) = X^2 +c
Phoenix [80]
X² + c is actually a quadratic function.

And x² + c = 0,  it usually has two zeros which are solutions.

But for when c = 0,

x² + c = 0

x² + 0 = 0

x² = 0

Taking the square root of both sides.

x = 0.  Here it only has one zero.

So the function x² + c,  only has one root for  c = 0.
6 0
3 years ago
Radio signals travel at a rate of 3x10^8 meters per second how many seconds would it take for a radio signal to travel from a sa
marshall27 [118]

Answer:

1.2x10^-1 seconds

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Question 3
Wittaler [7]

Answer:

75

Step-by-step explanation:

4 0
3 years ago
Determine whether the equation 5(1+2m)=1/2(8+20m) has one solution, no solution, or infinitely many solutions.
hichkok12 [17]

1. Use the distributive property:

5\cdot (1+2m)=5\cdot 1+5\cdot 2m=5+10m,

\dfrac{1}{2}\cdot (8+20m)=\dfrac{1}{2}\cdot 8+\dfrac{1}{2}\cdot 20m=4+10m.

Then

5+10m=4+10m.

2. Separate terms with m in left side and without m in right side:

10m-10m=4-5,\\ \\0=-1.

This expression is false for all values of x, then the equation doesn't have solutions.

Answer: no solution

3 0
3 years ago
Read 2 more answers
Other questions:
  • Given: Line A R bisects ∠BAC; AB = AC Triangle A B C is shown. Point R is at the middle of the triangle. Lines are drawn from po
    14·2 answers
  • Fiona finds that the distance between two cities is 83,400,000 millimeters. What is the distance between the two cities in kilom
    10·2 answers
  • Reduce the fraction 12/24 to the simplest form. Make sure that it can not be simplified any further. *
    13·1 answer
  • The joints that allow the biggest amount of movements are called?
    9·1 answer
  • Which relationship describes angles 1 and 2?
    5·2 answers
  • END OF GRADING CYCLE AND SO MANY MISSING ASSIGNMENTS PLEASE HELP
    13·1 answer
  • A new dirt bike valued at $9000 loses 18 percent of its value each year write an exponential function that models the value of t
    9·1 answer
  • The terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
    15·1 answer
  • Solve for x: x/3 = -48
    8·2 answers
  • Question attached as screenshot below: please help me I don't think my answer is correct, need clarifying
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!