PLEASW HELP
The number of bats in a colony is growing exponentially. After 4 years, there were 2025 bats. After 6
years, there were 18225 bats.
If the colony continues to grow at the same rate, how many bats are expected to be in the colony after
12 years? Do not include units in your answer.
Answers
Answer:
there would be around 40,000 colony of bats
There to be about 13,286,025 bats in the colony after 12 years if the growth rate remains constant.
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
To solve this problem, we need to use the formula for exponential growth:
N = N₀ (1 + r)ˣ
where:
N is the final number of bats after x years
N₀ is the initial number of bats
r is the annual growth rate (expressed as a decimal)
x is the number of years.
We can use the information given in the problem to find the values of N0, r, and t for the first two time periods:
For the first 4 years:
2025 = N₀(1 + r)⁴
For the next 2 years (6 years in total):
18225 = N₀ (1 + r)⁶
To solve for N₀ and r, we can divide the second equation by the first equation:
18225/2025 = (N₀ (1 + r)⁶) / (N₀(1 + r)⁴)
9 = (1 + r)²
Taking the square root of both sides, we get:
1 + r = 3
r = 2 (since r is expressed as a decimal)
Now that we know r, we can use either of the two original equations to find N₀. Let's use the first equation:
2025 = N₀(1 + 2)⁴
2025 = N₀(81)
N₀ = 25
So the initial number of bats was 25, and the annual growth rate is 200% (or 2 as a decimal).
Now we can use the formula to find the number of bats after 12 years:
N = 25 (1 + 2)¹²
N = 25 (531441)
N = 13,286,025
Therefore, we can expect there to be about 13,286,025 bats in the colony after 12 years if the growth rate remains constant.
To learn more about exponential growth;
https://brainly.com/question/12490064
#SPJ7
Related Questions
I need help with this please?
Answers
1320
Step-by-step explanation:
the triangle,1/2×15×20×2=300 .rectangle,17×25=425,20×17=340,15×17=255. sum them up 300+255+425+340=1320
In a 3-digit number, the hundreds digit is four more than the units digit, and the tens digit is three more then the sum of the other digits. Find the three digits if the sum of all three digits is 15. Then find the number.
Answers
Answer:
591
Step-by-step explanation:
Let's use algebra to solve this question:
Units digit = x
Hundreds digit = x+4
Tens digit = 3 + (x+4) + x = 2x +7
All 3 digits = 15
so x + (x+4) + 2x + 7 = 15
4x +11 =15
4x = 4
x = 1
Then you substitute:
Units = 1
Hundreds = 1+4 = 5
Tens = 2(1) + 7 = 2 + 7 = 9
The number is therefore 591.
Les gusta mi dibujo a mano con lapiz y papel
Answers
Está bonito, solo algunos detalles, pero con practica creeme que va estar mejor. Los dedos de las manos hay que trabajar más, ¡Está bonito!
Someone help me out with this!!
Answers
Answer:
Missing Angle = 75 degrees
This answer may not be correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
The Missing Angle:
All of the angles add up to 180 since it is a triangle, so the equation is:
90 (the box aka right angle) + 15 + (the missing angle) = 180
Then, add 90 + 15 = 105. After that, do:
180 - 105 = 75 degrees (don't forget the label!)
I am so sorry, but unfortunately, I do not know the answer for finding the lengths of the sides x and y.
Answer:
75°, x = 49.69, y = 12.85Step-by-step explanation:
The missing angle is complementary with given since the triangle is right.
90° - 15° = 75°Use trigonometry to find x
cos 15° = 48/xx = 48/cos 15°x = 49.69 (rounded)Use Pythagorean to find y
[tex]y=\sqrt{49.69^2-48^2} =12.85[/tex] roundedExpand and simplify (x - 7)(x + 4)
Answers
Answer:
x^2 - 3x - 28
Step-by-step explanation:
(x-7)(x+4) = x^2 + 4x - 7x - 28 according to the distributive property
Which = x^2 - 3x - 28
Answer:
[tex]x^{2} -3x-28[/tex]
Step-by-step explanation:
[tex](x - 7)(x + 4)\\x(x + 4)-7(x + 4)\\x^{2} +4x-7x-28\\x^{2} -3x-28[/tex]
A case of soda has 12 cans. Each can holds 360 milliliters of soda. What is the total
number of liters of soda in the case?
Answers
Answer:
4.32 Liters
Step-by-step explanation:
12*360 mL= 4320 mL
mL to L= mL/1000
4320/1000= 4.32
A woman bought some large frames for $18 each and some small frames for $8 each at a closeout sale. If she bought 21 frames for $248, find how many of each type she bought.
Answers
Answer:
8 large frames and 13 small frames
Step-by-step explanation:
Given:
$18 each = large frames
$8 each = small frames
To Find:
⇒ Bought 21 frames for $248, find how many of each type she bought
Solve:
1 Large frame costs = 18 $
Therefore, x large frames costs = 18x $
{where x is the number of large frames she bought}
1 Small frame costs = 8 $
Therefore, x Small frames costs = 8y $
{where y is the number of small frames she bought}
By the given condition :
18x + 8y = 248 {equation 1}
x + y = 21 {equation 2}
Solve these equations simultaneously, from second equation we get :
x = 21- y
18⋅(21−y)+8y= 248
378 - 18y+8y = 248
-10y = -130
y = 13
Put y = 13 in eq x = 21- y
x = 21 - y
x = 21 - 13
x = 8
So the woman bought 8 large frames and 13 small frames.
~lenvy~
The set of numbers 1, 5, 13, and 24 contains values for m. What values of m makes the equation below true?
6m+12=42
Answers
Answer:
5
Step-by-step explanation:
Solve the equation first for "m"
6m + 12 = 42
6m = 30 (subtract 12)
m = 5 (Divide by 6)
5 is your answer
Hope this help! Please mark me brainliest, it helps!
7x=7.7 How would i figure this out ?
Answers
For which inequality is x = 5 a solution
Answers
Answer:
4<x<6
Step-by-step explanation:
4 is smaller than x
and x is samller than 6
so its 5
solve it in form of cos and sin pls
Answers
[tex]\text{L.H.S}\\\\=\dfrac{\cot A}{1- \tan A} + \dfrac{\tan A}{1- \cot A}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{1- \tfrac{\sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{1-\tfrac{\cos A}{\sin A}}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{\tfrac{\cos A- \sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{\tfrac{\sin A - \cos A}{\sin A}}\\\\\\=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} + \dfrac{\sin^2 A}{\cos A(\sin A - \cos A)}\\\\\\[/tex]
[tex]=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} - \dfrac{\sin^2 A}{\cos A(\cos A - \cos A)}\\\\\\=\dfrac 1{\cos A - \sin A} \left( \dfrac{\cos^2 A}{\sin A} - \dfrac{\sin^2 A}{\cos A}\right)\\\\\\=\dfrac 1{\cos A - \sin A} \left(\dfrac{\cos^3 A - \sin^3 A}{\sin A \cos A} \right)\\\\\\=\dfrac 1{\cos A - \sin A} \left[\dfrac{(\cos A - \sin A)(\cos^2 A + \sin^2 A + \sin A \cos A)}{\sin A \cos A} \right]\\\\\\=\dfrac{\cos^2 A + \sin^2 A+\sin A \cos A}{\sin A \cos A}\\\\\\[/tex]
[tex]=\dfrac{\cos^2 A}{\sin A \cos A}+\dfrac{\sin^2 A}{\sin A \cos A}+\dfrac{\sin A \cos A}{\sin A \cos A}\\\\\\=\dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} + 1\\\\\\=\cot A + \tan A + 1\\\\\\=1 + \tan A + \cot A\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
5 Ed has two dogs. The smaller dog weighs
83 pounds. The larger dog weighs 13 times
as much as the smaller dog. How much does the larger dog weigh?
Answers
Answer:
1,079 more pounds
Step-by-step explanation:
because if you do 83x13 you will get 1,079
can somebody help me im confused
solve the equation
Answers
Check the picture below.
the assumption is that the graph keeps on going all the way to ±infinity.
Bear in mind that the interval notation is referring to the endpoints on the x-axis.
Find the area of the polygon
Answers
Answer:
40
put some efforts dude...they are so easy
Answer:
40
Step-by-step explanation:
area of a triangle= ½×base× height½×4×6=10since the polygon ha four equal triangles with the same measurement,multiply by four10×4=40ans=40hope that helps
Helpppppppppppp me out
Answers
Answer:
1.898×[tex]10^{27}[/tex]
2×[tex]10^{27}[/tex]
Step-by-step explanation:
so, there's what's called standard form in maths. this is where you're given a crazy-long chain of digits and are made to shorten that long number. the great thing about this kind of notation is that it makes reading large quantites easier (like super easy)
when dealing with standard form, the unit before the comma must always be from numbers one to nine, always!!!the digits before the comma must never be zero or anything above 9.99999... never!!! after placing your comma all you have to do is count the number of digits (or in this case, zeros) that number of digits after the comma then becomes the power your 10 is being raised to.it is crucial for you to remember that 10, otherwise your number won't be in it's standard formI hope you'll find this helpful
please correct any and all errors found :)
With a choking victim, the rescuer will provide abdominal thrusts which should be performed
by:
A. None apply
B. Pressing in the person's chest with hard and fast compressions,
C. Making quick inward and upward thrusts to the abdominal cavity with your fist.
D. Lying the person on their back and pushing up into their stomach and rib cage.
Answers
Find the area
A. 775
B. 625
C. 475
Answers
Answer:
625 in²
Step-by-step explanation:
⇒ Area of the figure = Area of the rectangle + Area of the triangle
Finding the base of the triangle
b² = 25² - 15²b² = 625 - 225b² = 400b = 20 in.Finding Area
A = 25 x 19 + 1/2 x 20 x 15A = 475 + 150A = 625 in²I’m having trouble can someone find this answer out
Answers
Answer:
f(x) = 13 when x = 10.
Step-by-step explanation:
[tex]f(x)=\frac{x}{2}+8[/tex]
[tex]f(10)=\frac{10}{2}+8[/tex]
[tex]f(10)=5+8[/tex]
[tex]f(10)=13[/tex]
Therefore, f(x) = 13 when x = 10.
13
Solution:Plug in the value of x, which is equivalent to 10, instead of x:[tex]f(10)=\displaystyle\frac{10}{2} +8[/tex]f(10)=5+8f(10)=13Hope it helps.
Do comment if you have any query.
(x^2 - 14x + 48) divided (x-6)
Answers
Answer: (x^2 - 14x + 48) : (x-6) = 0(x^2 - 14•x + 48) : (x-6) = 0x = 8
Step-by-step explanation:
i hope this is the answer your looking for
You are a teller at a bank. A customer has $252 in their checking account. They write a check for $287 (debit) that is cashed by the recipient . Will the new balance be positive or negative?
Answers
A credit card had an APR of 25.67% all of last year and compounded interest daily. What was the credit card's effective interest rate last year?
a
28.25%
b
29.25%
c
28.92%
d
27.32%
Answers
Answer:
The answer is 29.25%.
Step-by-step explanation:
Hope this is right!!!
Which table represents a linear function?
x
X
y
x
х
y
1
y
0
y
1
0
0
0
0
0
1
2
1
1
1
1
1
3
AN
low
N
4
3
2
0
N
5
2
3
3 3
8.
3
6
3
1
3
7
O
o
Answers
Answer:
(d) see attached
Step-by-step explanation:
A linear function has equally-spaced outputs for equally-spaced inputs. The given tables all have sequential values for x, so we can find the linear function by looking at the differences of y-values.
a) 2 -1 ≠ 4 - 2 . . . . not linear (exponential)
b) 1 -0 ≠ 3 -1 . . . . not linear (quadratic)
c) 1 - 0 ≠ 0 - 1 . . . . not linear
d) 3 -1 = 5 -3 = 7 -5 . . . . a linear function
Letter D. A linear function.
Step-by-step explanation:
# Brainliest Bunch
Below are the score of 30 students in an oral interview. use the information to find the average score.
Score: 1 2 3 4 5
frequency: 7, 7, 7, 12, 3
Answers
Step-by-step explanation:
the average score would be 3 i think
Find the sum of the first 21 terms of the arithmetic progression.
−7, −11, −15, . . .
Answers
We are given with an AP (Arithmetic Progression) with first term being -7, and the common difference being the difference between any succeding term from any term and the term itself, so common difference = -11 - (-7) = -11 + 7 = -4, so now before finding the sum of 21 terms, let's recall that ;
[tex]{\boxed{\bf{S_{n}=\dfrac{n}{2}\{2a+(n-1)d\}}}}[/tex]Where, d is the common difference, a is the first term, and n is the number of terms and [tex]{\bf S_n}[/tex], being the sum of n terms, so putting all the values in the formula, we will have ;
[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}\{2\times -7+(21-1)-4\}}[/tex]
[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}(-8+20\times -4)}[/tex]
[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-8-80)}{2}}[/tex]
[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-88)}{2}}[/tex]
[tex]{:\implies \quad \sf S_{21}=-21\times 44}[/tex]
[tex]{:\implies \quad \boxed{\bf{S_{21}=-924}}}[/tex]
Donte bought a computer that was 20% off the regular price $1,080. If an 8% sales tax was added to the cost of the computer, what was the total price donte paid for
Answers
Answer:
$933.12
Step-by-step explanation:
So 20% of $1,080 is 216.
1080 - 216 is 864
8% of 864 is 69.12
864 + 69.12 would be $933.12
5) If the mean of the following data is 20.2, find the value of p. Variable (x) 10 15 20 25 30 Frequency (fi) 6 8 p 10 6
Answers
Answer:
p = 20
Step-by-step explanation:
Step1 :
Multiply each value by its frequency then add up :
(10 × 16) + (15 × 8) + (20 × p) + (25 × 10) + (30 × 6) = 20p + 610
Step2 :
Calculate the total of the frequencies :
6 + 8 + p + 10 + 6 = p + 30
The mean is equal to
[tex]\frac{20p+610}{p+30}[/tex]
Therefore
[tex]20.2 = \frac{20p+610}{p+30}[/tex]
then
20.2 × (p + 30) = 20p + 610
then
20.2p + 606 = 20p + 610
Then
20.2p - 20p = 610 - 606
Then
0.2p = 4
Then
p = 4/(0.2)
= 20
Solve for the unknown side and find perimeter of the figure below note that the figure is not drown to scale.
Answers
Answer:
[tex]x = 12\ m,\ perimeter = 63\ m[/tex]
Step-by-step explanation:
Step 1: Determine x
[tex]\frac{15\ m}{10\ m} = \frac{x}{8\ m}[/tex]
[tex](15\ m*8\ m) = (10\ m * x)[/tex]
[tex]120\ m^2 / 10\ m = x * 10\ m / 10\ m[/tex]
[tex]12\ m = x[/tex]
Step 2: Determine the perimeter of the figure
[tex]18\ m + 15\ m + 10\ m + 8\ m + 12\ m[/tex]
[tex]63\ m[/tex]
Answer: [tex]x = 12\ m,\ perimeter = 63\ m[/tex]
find the term to term rule for the following sequence 2,6,18, 54, 162
Answers
:)
Answer:
multiply 3 or *3 that is 2*3=6
please help.. no links
Answers
Answer:
Its 9.0 units
Step-by-step explanation:
For the side mostly to the left, its gonna be 3 units, since we can easlily count it
Now, for the diagonals, we have to use the formula for the area of a triangle, which is (l * w) / 2 = a.
For the bottom side, its 3 along the x axis and 1 along the y axis. 3 * 1 is 3, now divide that by 2 and you got 1.5
Now, for the right side, its 5 on the y, 1 on the x. Multiply 1 by 5, you got 5. Now divide that by 2 and you have 2.5
Finally, for the top side, its 4 on the x, and 1 on the y. 4 * 1 is 4, divided by 2 and its 2.
Alright, now we have to add 'em all together. 3 + 1.5 + 2.5 + 2 is 9 units
Theres your answer :)
Does 0 ÷ a =a ÷ a(assume a is not equal to 0)? explain
Answers
Answer:
A = 0
__________________________________________________________
SolveAlthough the question says not to assume A is 0, that is the only possible option, since any nor prime or composite is going to be the higher number, because it stays the same.
0 ÷ a(0) = 0
a(0) ÷ a(0) = 0
__________________________________________________________
Questions?Ask in the comments.