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
Who wants to text back and forth pls add me
Julli [10]

Answer:

..........uh ok but u do know that u need to answer questions and get points to talk to users....right..?

8 0
2 years ago
What is the value of r?
finlep [7]

Answer:

A.12

Step-by-step explanation:

2×r-13 = 11

r + 2 = 14

11 + 14 = 25

3 0
3 years ago
Need help asap with these
IRISSAK [1]

Answer:

1. 6n - 15

2. x + 10

3. -4d + 15

4. true, associative property

5. distributive, commutative

Step-by-step explanation:

1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20

2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms

3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms

4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up

5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer

6 0
3 years ago
6/5 s = -2 <br><br> whats the answer solve the (s)
iVinArrow [24]

Answer: s= -5/3

Step-by-step explanation: hope this helps!

7 0
2 years ago
Read 2 more answers
Ed scored 8 goals for his soccer team this season. Javi scored 5 goals.
ch4aika [34]
You add 8 and 5 so the equation would be 8+5=13
7 0
3 years ago
Read 2 more answers
Other questions:
  • Junior high classes of 35 students each met in the cafeteria to take achievements tests. If exactly 5 students sat at each table
    14·1 answer
  • Your friend uses the equation c=50p to find the total cost c for the number of people p internal local amusement park create a t
    15·1 answer
  • Tell how you could use a number line to deternine wich of two numbers is greater
    13·1 answer
  • You are graphing Rectangle ABCD in the coordinate plane. The following are three of the vertices of the
    13·1 answer
  • Pls anwers the question pls it has pictures as well pls pls pls pls pls pls pls
    8·1 answer
  • 2 Points
    5·1 answer
  • What is the following quotient?
    8·1 answer
  • -4(-5x+6) in distributive property
    9·1 answer
  • Use the similar triangles below to find the height of the tree
    6·2 answers
  • 10-x/4=1/2 find x<br> plz<br> help
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!