Answers
Given:
The number of alligators in a wildlife is given by the function
[tex]f(x)=3450(1.04)^{x+1}[/tex]
To find:
The average growth rate of change from the 4th year to the 7th year.
Solution:
We have,
[tex]f(x)=3450(1.04)^{x+1}[/tex]
For x=4, we get
[tex]f(4)=3450(1.04)^{4+1}[/tex]
[tex]f(4)=3450(1.04)^{5}[/tex]
[tex]f(4)=4197.4525[/tex]
For x=7, we get
[tex]f(7)=3450(1.04)^{7+1}[/tex]
[tex]f(7)=3450(1.04)^{8}[/tex]
[tex]f(7)=4721.5632[/tex]
Now, the average growth rate of change from the 4th year to the 7th year is
[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]
[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]
[tex]m=\dfrac{524.1107}{3}[/tex]
[tex]m\approx 174.70[/tex]
Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.
Related Questions
Given a point translated from A(1,2) to B(4,4). If a point C at (0,0) is translated in the same way, what will be its new endpoints?
A.(−3,−2)
B.(3,2)
C.(2,2)
D.(3,3)
Answers
Answer:
B.(3,2)
Step-by-step explanation:
Point translated from A(1,2) to B(4,4).
This means that for x, we add 3 units(4 - 1 = 3), while for y, we add two units(4 - 2 = 2).
If a point C at (0,0) is translated in the same way, what will be its new endpoints?
0 + 3 = 3
0 + 2 = 2
So
B.(3,2)
What is the first step in solving the equation 9m - 2 = 16?
Add 2 to each side.
Subtract 2 from each side.
Divide each side by 9.
Multiply each side by 9.
Answers
Answer: Add 2 to each side
Step-by-step explanation:
9m-2=16
+2 +2
9m=18
Find the value of k please
Answers
Geometry Will give Brainlist
Answers
Given :
segment AE and segment BD bisect each otherWhich means :
∠BCA and ∠DCE are equal because they are vertically opposite angles. Segment AC = segment CE because the bisector BD divides the segment AE into two equal parts which are segment AC and segment CE.segment BC and segment CD will be equal because bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.Since two sides and one included angle is equal △ACB≅△ECD under the SAS congruence criterion .
Last month, sales were £180 000.
This month, sales reached £196 200.
What percentage increase is this?
%?
Answers
What is 1,000,000 written as a power with a base of 10?
Answers
Answer:
101=10 101=1
106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)
107=10,000,000 (ten million) 10-6=0.000001 (one millionth)
108=100,000,000 (one hundred million) 10-7=0.0000001 (one ten millionth)
Step-by-step explanation:
Answer:
10^6
Step-by-step explanation:
Convert 96 ounces to pounds.
6 lb.
O4 lb.
10 lb.
5 lb
PLS HELP
Answers
Answer:
6 lb
Step-by-step explanation:
i took math lol
PS. plzzzz tell me if u got it right
Answer:
6 lb
Step-by-step explanation:
there are 16 ounces in one pound
96/16 = 6 lb
Have a nice day
what is the square root of 64
Answers
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
8x8=64 so √64=8. hope this helps!
Help me solve this pls
Answers
Which of the following is an example of a reserved power?
A. raising and maintaining a navy
B. declaring war and governing combat
C. establishing and funding a system of public education
D.coining money and fixing the standards of weights and measures
Answers
Answer:
B
Step-by-step explanation:
Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply. ill give brainliest to whoever answers
Answers
Answer:
She decided to survey each other child instead of every child
Step-by-step explanation:
Sorry if im wrong
Answer:
so if you have a multie chose it would be A D E
Step-by-step explanation:
What two numbers have a sum of 142 and a difference of 16?
Answers
Answer:
x=79,y=63 I have solve it in above picture
A pair of shoes that originally sold at $30 is now being offered at a 25% discount.
What is its present price?
Answers
Answer:
$22.5
Step-by-step explanation:
You will pay $22.5 for a item with original price of $30 when discounted 25%.
Answer:
Refer to explanation
Step-by-step explanation:
The screenshot you put is the correct answer, here's another method to get the same answer:
Find what 25% is.
100% = 30
1% = 30 ÷ 100 = 0.30
25% = 0.30 x 25 = 7.50
Find the price after the 25% discount.
100 - 25 = 75
75% = 30 - 7.50 = 22.50 or 0.30 x 75 = 22.50 (Both solutions give the same answer)
what single decimal multiplier would you use to decrease by 7% followed by a 20% decrease
Answers
Answer:
x 0.27
Step-by-step explanation:
if they are both decreasing then just add the two percentages together then divide by 100 to give you your decimal answer
Hope it helped hehe
Answer these please. :0
Answers
Answer:
I wrote the answers below
Step-by-step explanation:
x+3<70------>0,60
-5x<2--------->3,5
5x<2---------->-3,-1
-3x>18-------->-10,-20
Needing some help please
Answers
Answer: Should be (4,0)
Step-by-step explanation:
Doreen Schmidt is a chemist
Answers
Answer:
that isnt a question but good to know! :)
Step-by-step explanation:
thanks for the answer ig
Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week
Answers
Answer:
She read 277 pages during the second week.
Step-by-step explanation:
215 + 62.
Answer: she read 277 books
Step-by-step explanation:
7 4 9 as an improper fraction
Answers
shehsjwhwbsvwhwhw
Find x. (The picture has the info)
Answers
Answer:
X=5
Step-by-step explanation:
3x+9 is twice of 12 (24). 24-9=15, and 3*5=15, so x=5.
I need help with this please help me :(
Answers
Answer:
6 additional toppings
Step-by-step explanation:
14+1.75= 15.75
15.75+1.75=17.5
17.5+1.75=19.25
19.25+1.75=21
21+1.75=22.75
22.75+1.75=24.5
n/10 + 8 = 12. Mental Math Solve the equation
Answers
Answer:
= 4 0
Step-by-step explanation:
/ 1 0 + 8 =1 2
/1 0+ 8 − 8 = 1 2 − 8
SIMPLIFY
1 0 = 4
Multiply all terms by the same value to eliminate fraction denominators
1 0 = 4
1 0 ⋅ /1 0= 1 0 ⋅ 4
Simplify
n=40
Which one of the points A(5.2). B(6,-3) and C(4.7) is the mid-point of the other two? Check your answer by calculating two distances.
Answers
Answer:
A is the midpoint
Step-by-step explanation:
Given
A(5.2) B(6,-3) and C(4.7)
Required
Which is the midpoint
Midpoint is calculated using:
[tex](x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]
Testing A as the midpoint, we have:
[tex](5,2) = \frac{1}{2}(6+4,-3+7)[/tex]
[tex](5,2) = \frac{1}{2}(10,4)[/tex]
[tex](5,2) = (\frac{1}{2}*10,\frac{1}{2}*4)[/tex]
[tex](5,2) = (5,2)[/tex]
The above equation is true. Hence, A is the midpoint of B and C
What is the value of n when n = -4?
Answers
Answer:
what the whole question
do 4 x + 15 + x have the same value when it's 5
Answers
Answer:
If you mean 4x = 15 + x, then yes.
Step-by-step explanation:
4 × 5 = 20
15 + 5 = 20
20 = 20
what is the answer to this subtraction problem
Answers
Answer:
i d k
Step-by-step explanation:
what is f?
So first, you have to distribute the minus in the middle. You ALWAYS have to. So when you do that, the minus changes to a plus, and everything on the right side of it changes from positive to negative or negative to positive. So it would turn into this -
(6f^2 - 9f + 10) + (2f^2 + f - 3)
Now, you can combine like terms. Add each one that matches. (Add the ones that have 1 f, or f^2)
Answer:
8f^2 - 8f + 7
Identify the rate of change of the function.
Answers
67Answer:67
Step-by-step explanation:
So we just need to find the derivative of the function.
A linear equation should be easily found by:
(y - (-5)) / (x - 0) = (-5 - 0)/(0 - 2.5)
2x - y - 5 = 0
y = 2x - 5
Taking the derivative with respect to x:
dy/dx = 2
Done.
By the way it’s equivalent to the slope of the function. ; )
Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?
A. 29 - n = 41
B. 29 - n = 40
C. 29 + n = 41
D. 29 + n = 40
Answers
Answer:
C
Step-by-step explanation:
Trevon started with $29.
After cleaning, his total rose to $41.
Since he received money, we add that amount (n) to his initial amount of money ($29), to equal his total amount ($41)
The time of a pendulum varies as the square root of its length. If the length if a pendulum which beats 15seconds is 9cm, find the length that beats 80seconds and the time of a pendulum with length 36cm
Answers
Answer:
length= 3.7 ft.
Step-by-step explanation:
T= (square root of length) * k
1.8 seconds = (square root of 3) * k
k= 1.8 seconds / (square root of 3)
a.) T= (square root of 11) k
substituting k:
T=(square root of 11) * 1.8 seconds / (square of 3)
T= 3.4 seconds
b.) 2 seconds = (square root of length) k
substituting k:
2 seconds =(square root of length) 1.8 seconds / (square root of 3)
Divide the equation by 1.8 seconds / (square root of 3):
2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)
10(square root of 3) / 9 = (square root of length)
square both sides:
100/7 ft= length
length= 3.7 ft.
Hope this helps.
This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?
Answers
Answer:
$2690.28
Step-by-step explanation:
2862 decrease 6% =
2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28
Answer:
2700
Step-by-step explanation:
106%-> 2862
100%->2700