The value of k is 0.05.
The exponential growth function is: A = 28e^kt
Where
A = future value of population
e = 2.718
k = growth rate
t = time
The exponential growth function can be written as:
36 = 28 x e^k 5
log(36/28) ÷ log(e) ÷ 5 = 0.05
A similar question was answered here: https://brainly.com/question/1440123
There are 150 marigold plants in a back yard. Each month, the number of marigold plants decreases by 15%. There are 125 sunflower 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)
Let us first assign variables. We say that:
X = number of marigold plants
Y = number of sunflower plants
n = number of months
We can see that in the given problem, X is decreasing by a percentage, this means that we have to set-up a geometric equation while for Y the decrease is linear so we set-up an arithmetic equation.
Part A.
For marigold plants X, a geometric sequence has a general form of:
X = Xo * (1 + r)^n
where r = -15% = -0.15 (negative since it is decreasing)
Xo = the initial amount of marigold plants = 150
X = 150 * (1 – 0.15)^n
X = 150 (0.85)^n
For the sunflower plants Y, an arithmetic sequence has a general form of:
Y = Yo + d * n
where d = -8 and Yo = 125
Y = 125 – 8 n
Part B. For n = 3
X = 150 (0.85)^3 = 92.12 = 92
Y = 125 – 8 (3) = 101
Part C. From Part B we see that the two values are very far from each other when n = 3, therefore they must be similar when n < 3. So we try n = 2
X = 150 (0.85)^2 = 108.38 = 108
Y = 125 – 8 (2) = 109
Therefore the two plants have approximately similar amount after 2 months.
The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explaims whether or not the truck can pass safely under the bridge?
Each level of a smartphone app adds more gems for you to match. On level one, there were 13 gems. On level twelve, there were 123 gems. When you complete all twelve levels, how many total gems will you have matched?
Answer:
816 is your answer
Step-by-step explanation:
.736 rounded to the nearest hundredth
What is 5xy cubed? To better rephrase it, what is 5xy to the power of 3?
George has 9 more dollars than Frank, who has 3 more than Richard. What is the least amount of money that must be exchanged so that they each have the same amount of money?
I know the answer is $7 but is there a quicker way to do it instead of guess and check?
Suppose you find six articles related to the topic of your research paper. In how many ways can you choose four articles to read? 30 15 720 360
Which rate is equivalent to the unit rate of 15 miles per gallon?
thirty miles over three gallons
three gallons over thirty miles
four gallons over sixty miles
sixty miles over four gallons
Answer:
Fourth option is correct.
Step-by-step explanation:
Since we have given that
thirty miles over three gallons
Unit rate would be miles per gallon.
three gallons over thirty miles
Unit rate would be miles per gallon.
four gallons over sixty miles
Unit rate would be miles per gallon.
sixty miles over four gallons
Unit rate would be miles per gallon.
Hence, Fourth option is correct.
if Mary pitches a baseball with the initial height of 6 feet and a velocity of 73 feet per sec, how long will it take for the ball to hit the ground
PLZ somebody tell me ;c
Alaska's glacier bay national park had 431,986 visitors one year the next year the park had22,351 more visitors than the year before how many people visited during the two years show your work and explain how you found your answer.
Leon lives in North Dakota, which has a sales tax of 5%. He just bought a home theater system whose full price was $450, but after sending in a rebate form, he later received a check in the mail for $75. What was the total amount that Leon ended up paying after receiving the rebate? A. $397.50 B. $472.50 C. $393.75 D. $375.00
Answer:
$397.50
Step-by-step explanation:
$450×5%=22.5 (Tax)
$450+22.5=$472 (Full Price of Item)
$472-$75=$397.5 (With Rebate)
final answer=$397.5
One hundred students are asked a survey question as they walk through the front gate at their middle school. Is this a representative sample of the schools population?
The Shake Shack sells large and small shakes. A large shake costs $5, and a small shake costs $3. On Sunday, the Shake Shack had a total revenue of $479. Which equation can be used to represent x, the number of small shakes sold and y, the number of large shakes sold?
479x + 479y = 15
4x + 4y = 479
5x + 3y = 479
3x + 5y = 479
Answer:
3x + 5y = 479
Step-by-step explanation:
As the problem states it, the number of small shakes will be represented by "x" and the number of large shakes will be represented by "y", so we know that the number of each mutiplied by the cost, its equal to the total revenue which is $479, so we just put that into an equation:
3x + 5y=$479
And that´s the equation that can be used to represent that inequality.
how do you solve the function 5x-4=-2(3x+2)
find the quotient -7 divided by 14/3
What is the equation of this line of best fit in slope-intercept form?
y = −6x + 3/4
y = 6x + 3/4
y =-3/4 x + 6
y =3/4 x + 6
PLEASE HELP!!! Get brainliest answer if right @peredhel
Matteo is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by y^2=6x where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite? (–1.5, 0) (0, –1.5) (0, 1.5) (1.5, 0)
Answer: (1.5, 0)
Step-by-step explanation:
Given : The shape of his satellite can be modeled by [tex]y^2=6x[/tex] where x and y are modeled in inches.
Now,the given equation [tex]y^2=6x[/tex] is a equation of parabola.
Here, coefficient of x is positive, hence the parabola opens rightwards.
On comparing this equation with standard equation [tex]x^2=4mx[/tex], we get
[tex]4m=6\\\Rightarrow\ m=\frac{6}{4}=1.5[/tex]
In standard equation, coordinates of focus=(m,0)
Thus for given equation coordinates of focus=(1.5,0)
Answer:
Answer: (1.5, 0)
Step-by-step explanation:
What are the like terms of 8c - 12 - 5c +4
Easy question about triangles that I forgot what they look like so I feel too lazy to look them up (13 POINTS)
Explain how you know the valúes of the digits in the number 58
What is rhe name of the period that has the digits 751
The name of period that has 751 in the number
is hundreds.
Because Period is considered to a group of places of the
digits.
In this case, the given number is 751 and it is the group of hundred because 700 is the highest number it contains.
We can also write 751 as
751 = 700 + 50 + 1
It means,
7 hundreds + 5 tens + 1 onesWhat is the answer to 8ab-2b+ab-b
What value correctly fills in the blank so that the expressions are equivalent?
18 + 45 = ___ ´ (2 + 5)
-----------------------
2
3
7
9
Answer:
the answer is 9
Step-by-step explanation:
i just did it
I know the answer but my meme dealer needs points
Answer: 12 (C)
Step-by-step explanation: Im a "Meme Dealer" but not yours.
If x = -6 and y = -9, find xy - 3x + 2y
What is the LCD of 1/6 and 5/12 and 11/18
What is the length of leg y of the right triangle? A right triangle with hypotenuse 85 and legs 84 and y 1 9 13 26 Question 11(Multiple Choice Worth 1 points)
a^2 +b^2 = c^2
a^2 +84^2 = 85^2
a^2 + 7056 =7225
a^2 = 169
a= sqrt(169)
a=13
length of leg y = 13
Solve 8x 2 - 2x - 1 = 0
{-1/4, 1/2}
{-1/2, 1/4}
{1/2}
A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.
Answer:
you didnt give the answer its A
Step-by-step explanation:
cause u gay
Help me please!! Thanks you
height = sqrt (26^2 - 10^)
10^2 = 100
26^2 = 676
sqrt ( 676-100)=
sqrt(576) = 24
height is 24 ft