Answer:
After 10 years , the number of residents in the community = 100,007.45
Step-by-step explanation:
Let P be the population of a farming community.
As we know that,
Exponential Growth model is :
P(t) = P₀[tex]e^{kt}[/tex] ........(1)
where P₀ is the initial state , k is the growth constant.
As given,
A farming community begins with one resident.
⇒At t = 0 , P(t) = 1
∴ Put t = 0 in equation (1), we get
1 = P₀[tex]e^{0}[/tex]
⇒1 = P₀
∴ equation (1) becomes
P(t) = [tex]e^{kt}[/tex] ......(2)
As given, every year, the number of residents multiplies by 10
⇒At t = 1 , P(t) = 10
∴ Put t = 1 in equation (2), we get
10 = [tex]e^{k}[/tex]
Taking ln both side we get
ln(10) = ln([tex]e^{k}[/tex] )
⇒2.3026 = k
∴ equation (2) becomes
P(t) = [tex]e^{2.3026t }[/tex]
Now, we have to find the population at t = 5
⇒P(5) = [tex]e^{5(2.3026} = e^{11.513} = 100,007.45[/tex]
So, we get
After 10 years , the number of residents in the community = 100,007.45
Add 12+35
1.) 2
2.) 1 110
3.) 25
4.) 47
Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations.
* Brainliest for answers and explanations * PLEASE PLEASE PLEASEE HELP
• (1) x= sqrt t, y=4t+3; 0 ≤ t ≤ 4
A) y = - 3x ^ 2 + 19; 0 ≤ x ≤ 2
B ) y = - 3x + 19; 0 ≤ x ≤ 2
C) y=4x^ 2 +3; 0 ≤ x ≤ 2
D ) y=3x^ 2 +4; -1 ≤ x ≤ 2
• (2) x=2t, y=t+2; -2 ≤ t ≤ 3
A ) y=x ^2 + 1; - 2 ≤ x ≤ 2
B) y= 1/2x -2; -∞
C) y= 1/2x +2; -4 ≤ x ≤ 6
D ) y=-2x+2; -∞
Answer:
1. C
2. C
Step-by-step explanation:
1. x = [tex]\sqrt{t}\\[/tex], y = 4t +3
Solve for t:
t = [tex]x^{2}[/tex]
Plug in t:
y = 4([tex]x^{2}[/tex] ) +3
y = 4[tex]x^{2}[/tex] +3
2. x = 2t, y = t + 2
Solve for t:
t = x/2
Plug in t:
y = 1/2x + 2
Man what the hell is ghis
Answer:
Bro this is how I understood it
Step-by-step explanation:
11/12-2/3=1/4
1 5/8-1 4/7=3/56
By:nick
Yo sorry am on my gbf account and I have this app on my phone tht could help out but sense I am on hers I don’t understand tht type of math no more long time sense I saw them number’s ..
There are 18 plates in 1 stack. How many plates are in 20 stacks
Answer:
is there any info missing?
Answer:
360 plates
Step-by-step explanation:
if there are 18 plates in 1 stake your times 20 bye 18
18
20
000
360
Pls Help!! will give 15 points
solve for x
7(8-x) = 210
Answer:
x=266
Step-by-step explanation:
I'm sure if this is correct but this is how I did it seven times eight is 56 and you have to subtract that number by x so x would have to be bigger so it would be 56 minus 266
will give you 210
Answer:
x=-22
Step-by-step explanation:
7(8-x)=210
you would use the distributive property
56-7x=210
then subtract both sides by 56
-7x=154
then divide both sides by -7
x=-22
Unit 8 homework 2 special right triangles
Answer:
bro I cant see can you zoom in more im sorry j would answer if I could see
5, 20, 80, ...
what is the sequence?
Answer:
Multiply by 4
The next part of the sequence would be 320
Step-by-step explanation:
5 x 4 = 20
20 x 4 = 80
80 x 4 = 320
anyone know the answer to x^2 - 11x + 18 = 0
Answer:
x= 9, x= 2
Step-by-step explanation:
x^2- 2x- 9x+ 18= 0
x (x-2) -9 (x-2)
(x-9) (x-2)
x-9= 0, x-2= 0
Therefore, x= 9, x= 2
If you don't mind, plz mark me brainliest
Substitution:
2x - y = 6
x + y = -3
Answer:
4 and for x+y is 2+1
Step-by-step explanation:
21. Evaluate the following: 17C3. *
A. 210
B. 504
C. 35
D. 680
Answer: D.680
Step-by-step explanation:
Pls help my semester end today and I have ds
Answer:
4.125 I believe.
Step-by-step explanation:
simplify the expression to a single numerical value
Answer:
B. 432
Step-by-step explanation:
I used a calculator.
A(n+1)=A(n)+4 for n21 and A(1)=-6*
Helllllp
9514 1404 393
Answer:
74
Step-by-step explanation:
The recursive definition is for an arithmetic sequence with a first term of -6 and a common difference of 4.
The general term of such a sequence is ...
a(n) = a(1) +d(n -1)
This sequence is ...
a(n) = -6 +4(n -1) = 4n -10
Then for n = 21, the term is ...
a(21) = 4(21) -10 = 84 -10
a(21) = 74
-3.25 (5 continues forever) ○ -3.2 (2 continues forever) Greater than or less than
Answer:
Less than. <
Step-by-step explanation:
x/7-1=1-2/3y
HELPPPPP
Answer:
-14/3y+ 14
Step-by-step explanation:
hope this helps
what is the middle line of 56 and 6?
PLEASE HELP ME SOLVE THIS
2x-11>3
Answer:
The answer is x>7
Step-by-step explanation:
Answer:
x > 7
Step-by-step explanation:
Isolate x:
2x - 11 > 3
2x > 14
Divide each side by 2:
x > 7
So, the answer is x > 7
2765 x 5991 +2231 help
Answer:
16,567,346
Step-by-step explanation:
Answer:
16,567,346
Step-by-step explanation:
the first thing you do is:
2765 x 5991 = 16,565,11516,565,115 + 2231 = 16,567,346So your answer is 16,567,346
hope this helps
If ABCD is a square what is m< AEB
A) 30°
B) 45°
C) 60°
D) 90°
Answer:
90
Step-by-step explanation:
The angle of AEB is 90 degrees, took the test and got it correct!
The measure of m<AEB is 90 degrees
Squares and triangleFrom the given square, the triangle AEB is a right triangle.
A right triangle has one of its angles to be 90 degrees.According to triangles AEB, m<EAB = m<ABE = 45 degreesm<AEB = 180 - (45+45)
m<AEB = 180 - 90
m<AEB = 90 degrees
Hence the measure of m<AEB is 90 degrees
learn more on squares here: https://brainly.com/question/1538726
3/5 is simplest form yes or no
Answer:
Yes
Step-by-step explanation:
3 and 5 don't got a GCF
math i need help with
The sketch of this crayon represents an irregular polygon. Find the area of the figure. 21.75 cm²
75 cm²
37.5 cm²
40.5 cm²
The total area of the sketch will be 40.5 cm².
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given, The sketch of this crayon represents an irregular polygon.
Dimension of the polygon are given in the figure,
To calculate the area of the given figure first we need to break this into two parts:
The first one will be rectangular form with a length of 12.5 cm and a width of 3 cm
The second one will be in triangular form with a height of 2 cm and a base of 3 cm.
Area of rectangle = length * width
in our case,
Area of rectangle = 12.5*3
Area of rectangle = 37.5 square cm
Area of triangle = 1/2 base *height
In our case,
Area of triangle = 1/2* 3 * 2
Area of triangle = 3 square cm
So,
The total area of the sketch = area of rectangle +area of the triangle
The total area of the sketch = 37.5 + 3
The total area of the sketch = 40.5 Square cm
Therefore, the total area of the sketch will be 40.5 cm².
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ1
Jessica's annual income is £12000
She pays 10% of the £12000 in rent.
She spends of the £12000 on clothes.
Work out how much of the £12000 Jessica has left.
Answer:
12, 000 ( .10) = £120012 000 (.25) = £30001200 + 3000 = £420012000 - 4200 = £7800Step-by-step explanation:
I hope it's help youA rectangular room is 15 feet long and 10 feet wide. A scale drawing of the room has a width of 5 inches. What is the length of the room in the drawing?
Answer:
7.5
Step-by-step explanation:
What is 4/5 as a decimal?
Answer:
Umm, 0.8
Step-by-step explanation:
Is this fr?
In a candy storet a $12.00 jar of candy is labeled, "35% off." What is the discount? What is the sale price of the jar of candy?
Original gas price 1.25 new gas price one dollar 1.75 find the percent of increase
Answer:
140%
Step-by-step explanation:
1.25 * x/100=1.75
125*x=175
x=1.4
So the awnser is %140 percent
A'B'C', which statements must be true? Select three options
Answer:
They are all true
Step-by-step explanation:
A seems right. But so does B. Infact C also seems rights so they are all correct
Select the three expressions that are equivalent to each other
Answer:
The first one, third One, and the fifth One
Step-by-step explanation:
Which table represents a linear function?
Answer:
top right
Step-by-step explanation: