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
Paha777 [63]
3 years ago
8

There are 150 marigold plants in a back yard. Each month, the number of marigold plants decreases by 15%. There are 125 sunflowe

r plants in the back yard. Each month, 8 sunflower plants are removed.
Part A: Write functions to represent the number of marigold plants and the number of sunflower plants in the back yard throughout the months. (4 points)

Part B: How many marigold plants are in the back yard after 3 months? How many sunflower plants are in the back yard after the same number of months? (2 points)

Part C: After approximately how many months is the number of marigold plants and the number of sunflower plants the same? Justify your answer mathematically. (4 points)
Mathematics
1 answer:
Lelu [443]3 years ago
8 0
For the marigolds 
M  = 150(0.85)^x     where x is the number of months
For sunflowers 
S = 125 - 8x  where x = number of months

Part B
after 3 months there are 150(0.85)^3  =  92 marigolds

after 3 moths there are 123 -  8*3 = 99 sunflowers

Part C 

There are the same number of plants when  the 2 functions are equal:-

So we have  150(0.85)^x = 125 - 8x
solving this for x is not straight forward . it could be done by drawing 2 graphs and seeing where they intersect.

They come close to being equal after 2 months and after 14 months

Check out the graph on
www.desmos.com/calculator/i3m55hb2i3
You might be interested in
Sherrie invested some money at 6% interest. Sherrie also invested $249 more than 4 times that amount at 12%. How much is investe
Anon25 [30]

Answer:

  • 6%: $1776
  • 12%: $7353

Step-by-step explanation:

Let x represent the amount invested at 6%. Then the amount invested at 12% is 4x+249. Sherrie's interest is ...

  0.06x +0.12(4x +249) = 988.92

  0.54x + 29.88 = 988.92

  0.54x = 959.04

  x = 959.04/0.54 = 1776

  4x+249 = 7353

__

Sherrie invested $1776 at 6% and $7353 at 12%.

4 0
3 years ago
What are like terms? How do you combine them? Can you give an example?
yan [13]
Like terms are when numbers with and without variables can be combined. ex: 4x+6-8x+=32
you would first combine 4x and -8x because they are the same.
6 0
3 years ago
Read 2 more answers
HELP PLEASE ON A TIMER!!! TIME REMAINING: 29:00 Enter the x-coordinate of the solution to this system of equations.
Mars2501 [29]

Answer:36

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
EZ QUESTION BUT I DUMB: Mrs Raj Bought 10 pizzas for a party. Each child at tje party recieved 1/5 of a pizza. how many children
OlgaM077 [116]
So since she cut up each pizza into 5ths then 5 kids per pizza


5+5+5+5+5+5+5+5+5+5=50

the answer is 50 children
7 0
3 years ago
What is the value of 25 - 14 +12?
Alenkasestr [34]

Answer:

23

Step-by-step explanation:

25-14 = 11

11+12=23

that would be your answer

3 0
2 years ago
Other questions:
  • Why is multiplying with 6 like multiplying with 3
    11·2 answers
  • John's dog slept for 3 hours. If the dog slept 1/3 of every hour, how many times did he snore?
    9·1 answer
  • Ashirt button has a diameter of 0.61 cm. Which of these is an approximate measurement of the circumference of the button?
    10·1 answer
  • I need help with #2
    9·1 answer
  • Simplify using order of operations<br>5.8-7.2+4.6^2
    10·2 answers
  • When y= 234, x= 18. Find the value of x when y= 91.
    14·1 answer
  • Which number sentence is true?
    8·1 answer
  • Factor -4a^2b^4+5b^2-4 ​
    9·1 answer
  • Blank as 9 hundreds is 9 thousands
    6·1 answer
  • (7÷3/4)×(16-113/10).​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!