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
Graph the following inequality?
Answers
Answer: that pic is the answer
Step-by-step explanation: the pic is the answer
Find the Surface Area of the figures below:
1)
2)
3)
10 cm
3
11 in
4 mm
4 in
11 mm
5 am
5 cm
17
Answers
Estimate the difference
5/9 - 3/8
Answers
Answer:
Este es el resultado de la preguntas 0.181555556
Answer:
13/72 i hope thats what your looking for
Step-by-step explanation:
What is 5/9 - 3/8?
What is 5/9 - 3/8?
Here's how to subtract 3/8 from 5/9:
5
9
−
3
8
Step 1
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 5 by 8, and get 40.
Then we multiply 3 by 9, and get 27.
Next we give both terms new denominators -- 9 × 8 = 72.
So now our fractions look like this:
40
72
−
27
72
Step 2
Since our denominators match, we can subtract the numerators.
40 − 27 = 13
So the answer is:
13
72
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
Video Player is loading.
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Nope! So now we try the next greatest prime number, 13...
Nope! So now we try the next greatest prime number, 17...
No good. 17 is larger than 13. So we're done reducing.
There you have it! The final answer is:
13/72
The new game console you want is $136.40 , but there was recently a 15 % markup . What is the new price ?
Answers
15%= $20.46
$136.40 -$20.46=$115.94
Answer: $115.94
cost x markup = profit
therefore:
136.40 x .15 = 20.46
136.40 + 20.46 = 156.86
Answer= $156.86
whats is 48p3m4n ÷ 12pmn4
Answers
Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\ a^{-m}=\frac{1}{a^{m}}\\\\\frac{48p^{3}m^{4}n}{12pmn^{4}}=4*p^{3-1}*m^{4-1}n^{1-4}\\\\=4p^{2}m^{3}n^{-3}\\\\=\frac{4p^{2}m^{3}}{n^{3}}[/tex]
The scale on a map is 1 inch = 14 miles. The measurement between two cities on the map is 7 inches. What is the
distance between the two cities?
Answers
HURRY UP!!!
-100 = -t/5 - 4
please find t! (Explain aswell)
Answers
Answer:
[tex]t=480[/tex]
Step-by-step explanation:
Given
[tex]-100 = -\frac{t}{5} - 4[/tex]
Required
Solve for t
[tex]-100 = -\frac{t}{5} - 4[/tex]
Add 4 to both sides
[tex]4-100 = -\frac{t}{5} - 4+4[/tex]
[tex]4-100 = -\frac{t}{5}[/tex]
[tex]-96 = -\frac{t}{5}[/tex]
Multiply both sides by -5
[tex]-5*-96 = -\frac{t}{5} *-5[/tex]
[tex]-5*-96 = t[/tex]
[tex]480 = t[/tex]
[tex]t=480[/tex]
Help please im new to this 6th grade math explain good pls
Answers
Answer:
0.6
Step-by-step explanation:
Given the trapezoid formula:
1/2(b1+b2/2)xH
We are given the numbers for the trapezoid:
0.3,0.9,1
To solve this here is what we are going to do.
1/2(0.9+0.3)x1
So add 0.9+0.3=1.2
Then Divide 1.2/2=0.6
So multiply 0.6 x 1=0.6
0.6 is your answer
Does anyone wanna help me?
Answers
Answer:
The correct answer is Lorenzo
I need help is this complementary supplementary or nither
Answers
Answer:
The answer is supplementary angles.
Step-by-step explanation:
Identify the angle pair as complementary or supplementary.
If one angle is 60 degrees and the other angle is 120 degrees.
First, add the two angles together to find the sum.
60 + 120 = 180
Then, identify which angle pair adds up to 180 degrees.
Supplementary angles
May I please have brainliest
A triangle has an area of 20ft² the base is 10 feet. What's the height? (I'll give brainliest.)
Answers
Answer:4 feet
Step-by-step explanation:
because 5 can go into 20 and 10 but 10 is greater so divied that wjich will get you your answer of 4feet
PLEASE HELP MEEEE! Don’t mind the highlighter haha
Answers
Answer:
c words words words words
I Need Help Giving Out 10 points! Plz Help
Answers
Answer:
b and d
Step-by-step explanation:
2) Simplify: 2a + 3b - 4a + 5c - 2b
Answers
Answer:
-2a+b+5c
Step-by-step explanation:
-3. 12=2+
[tex] \frac{x}{2} [/tex]
HURRY solve for x
Answers
-3z-z answer please fast
Answers
Answer:
-4z
Step-by-step explanation:
Annie and lily share some money in the ratio of 2:3
Answers
Answer:
it would be 4:6
Step-by-step explanation:
It would be 4:6 because it is the same thing bu times 2
A company makes two models of television.
Model A has a rectangular screen that measures 44 cm by 32 cm.
Model B has a larger screen with these measurements increased in the ratio 5:4.
Work out the measurements of the larger screen.
Answers
Answer:
16/25
Step-by-step explanation:
length of screen B=44*(5/4)=55cm
and its width=32*(5/4)=40cm
so, screen B had dimensions 55cm by 40 cm
screen A area=44*32 cm sqr
screen B area=55*40 cm sqr
so, model A screen area/model B screen area
=(44*32)/(55*40)
=16/25
If you only have a 1/4 cup measuring cup and a recipe calls for 2 3/4 cups of flour, how many 1/4 cups would you need to use?
Answers
Answer:
ANSWER FAILUREANSWER FAILUREM
#CarryOnLearning.
Prove that the sum of five consecutive natural numbers is even.
pls explain briefly and pls help it has 14 pts
Answers
Answer:
Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5
n+(n+1)+(n+2)+(n+3)+(n+4) = 5n+10 = 5(n+2)
Which point on the graph shows the price of 4 ounces of cheese? Use the formula y = x ÷ 2 to find y when x is 4.
Answers
Answer:
y = 2
Step-by-step explanation:
Answer:
Point D.
Step-by-step explanation:
4=∣11+3x∣
first to answer correctly gets brainliest
Answers
Answer:
x=-7/3
Step-by-step explanation:
im sorry idek how to explain
hope this helps :9
Answer:
Step-by-step explanation:
x=either -7/3
x=-5
A cone with a height of 8 inches and a radius of 6 inches was dilated using a scale factor of 2. Which
of the following statement is true?
Answers
Answer:
true yes sir
Step-by-step explanation:
The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if
it had a bill of $71.80?
479
312
454
645
Answers
Answer:
312
Step-by-step explanation:
25+.15x=71.80
-25 -25
.15x=46.8
46.8/.15
x=312
Answer:
312 miles
Step-by-step explanation:
you have to subtract 25 from 71.80 which equals 46.80
then you have to divide 0.15 from 71.80 which equals 312
PLEASE HELP ME
6. Frankie graphed a quadratic function with a
vertex in Quadrant I. Which of the following
could be Frankie's function?
a. f(x) = -3x2 + 24x – 4
b. f(x) = x2 – 2x + 10
c. Both a and b
d. Neither a nor b
Answers
I took the test
What is the measure of x? 4 16 Z y х X= V? Enter the number that belongs in the green box. Enter
Answers
Answer:
√20
Step-by-step explanation:
16+4
=20
so√20
(i am not shour 100%)
Answer:<3
Step-by-step explanation:
x=8
There are two numbers which sum to 16. If one number is eight less than three times the other, find the numbers.
Answers
Answer:
The two numbers are 10 and 6.
Step-by-step explanation:
Let the two numbers be a and b respectively.
Translating the word problem into an algebraic equation, we have;
a + b = 16 .........equation 1
a = 3b - 8 .......equation 2
Substituting eqn 1 into eqn 2, we have
3b - 8 + b = 16
4b = 16 + 8
4b = 24
b = 24/4
b = 6
To find the value of a;
a = 3b - 8
a = 3(6) - 8
a = 18 - 8
a = 10
Therefore, the two numbers are 10 and 6.
Which of these triangles appear to be congruent to each other? Check all that
apply.
Answers
Answer:
Triangles A, B, and E look the same to me...
C has three different side lengths
D has a right angle and
F looks little skinnier
Which expression is equivalent 2(a+4b)+5+7b+6
Answers
Answer:
2a+15b+11
Step-by-step explanation:
Simplify
Combine Like Terms 18f + 30fx Will Give Brainliest to correct answer
Answers
Answer: 6f (3+5x)
Step-by-step explanation:
18f + 30fx by its gcf
Answer:
6f(5x+3)
Step-by-step explanation:
18f+30fx
Factor out 6.
6(3f+5fx)
Consider 3f+5fx. Factor out f.
f(3+5x)
Rewrite the complete factored expression.
6f(5x+3)