Answer:
P(t) = 5.24(1.030)^t
Step-by-step explanation:
The model for P(t) , the population of the town, t years after 1985, best fits the data is option C. P(t) = 5.35 (1.029)^t.
What is Population Growth?Population growth is defined as the increase in the number of people which is calculated using population growth rate.
Population growth is an exponential function.
So, the function will be of the form,
P(t) = a (b)^t
Initial population is the population in 1985.
P(0) = a (b)⁰ = 5.35
⇒ a × 1 = 5.35 (Since any number raised to 0 is 1)
⇒ a = 5.35
Population in 1990, that is after 5 years is,
P(5) = a (b)⁵ = 6.01
⇒ 5.35 (b)⁵ = 6.01
⇒ (b)⁵ = 1.123
⇒ b = 1.024
So the function which best models is P(t) = 5.35 (1.029)^t.
Hence the function is C. P(t) = 5.35 (1.029)^t.
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Your question is incomplete. The complete question is given in the image below.
write a letter to a friend in another town invite him or her to spend Christmas holidays with you
Answer:
hey my friend please come over to spend the Christmas holidays with me and my family this year. If you are afraid of your dad it's ok I'll ask my mom to call him and ask him
Find the sum:(12x-14)+(2x+3)
Answer:
x= -0.785
Step-by-step explanation:
12x plus 2x equals 14x
negative 14 plus 3 equals negative 11
negative 11 divided by 14 equals x
The logarithm of a number to the base V2 is k. What is its logarithm to the base 2v2 ?
Answer:
[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]
Step-by-step explanation:
Given
Let the number be X
From the first statement, we have:
[tex]log_{\sqrt 2} X = k[/tex]
Required
Find [tex]log_{2\sqrt 2} X[/tex]
[tex]log_{\sqrt 2} X = k[/tex]
using the following law of logarithm
[tex]log_ab = n, b=a^n[/tex]
So:
[tex]log_{\sqrt 2} X = k[/tex]
[tex]X = \sqrt{2}^k[/tex]
Substitute: [tex]X = \sqrt{2}^k[/tex] in [tex]log_{2\sqrt 2} X[/tex]
[tex]log_{2\sqrt 2} X = log_{2\sqrt 2} ( \sqrt{2}^k)[/tex]
[tex]log_{2\sqrt 2} X = klog_{2\sqrt 2} \sqrt{2}[/tex]
Apply the following law:
[tex]log_ab = \frac{log\ b}{log\ a}[/tex]
[tex]log_{2\sqrt 2} X = k\frac{log\ \sqrt 2}{log\ {2\sqrt 2}}[/tex]
Express the square roots as power
[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2 * 2^\frac{1}{2}}}[/tex]
[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2^\frac{3}{2}}}[/tex]
using the following law of logarithm
[tex]log_ab = n, b=a^n[/tex]
[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}log\ 2}{\frac{3}{2}log\ 2}}[/tex]
[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}}{\frac{3}{2}}}[/tex]
Rewrite as:
[tex]log_{2\sqrt 2} X = k * \frac{1}{2} \div\frac{3}{2}[/tex]
[tex]log_{2\sqrt 2} X = k * \frac{1}{2} *\frac{2}{3}[/tex]
[tex]log_{2\sqrt 2} X = k * \frac{1}{1} *\frac{1}{3}[/tex]
[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]
Please help ASAP please and thank you have a great and blessed day!
Answer:
Step-by-step explanation:
4X15=60 9X5=45
Answer:
Multiples:
9: 9, 18, 27, 36, 45, 54, 63...
15: 15, 30, 45, 60, 75...
LCM: 45
Equivalent Fractions: 25/45 and 12/45
Write and solve a system of equations to determine how many tickets were sold before and at the music festival. PLEASE HELPPP
b = number of tickets sold before
a = number of tickets sold after
cost of a ticket = number of tickets times cost per ticket
before cost = 39.95b
after cost = 54.95a
total cost = 925000
39.95b + 54.95a = 925000
total number tickets = 20000
b + a = 20000
we have
39.95b + 54.95a = 925000
b + a = 20000
multiply second equation by -39.95 and add to first equation
39.95b + 54.95a = 925000
-39.95b-39.95a = -799000 +
0b+15a = 126000
15a = 126000
divide bot sides by 15
a = 8400
sub back
b + a = 20000
b+8400 = 20000
minus 8400 both sides
b = 11600
11,600 tickets sold before
8400 tickets sold after
What is the perimeter of the rectangle shown?
Answer:
74
Step-by-step explanation:
14+14+23+23=74
Opposite sides of a rectangle are congruent or have the same length.
Now, the perimeter of a rectangle is just the
distance around the outside of the figure.
So we add up the dimension, which are the length and width.
So we have 14 + 14 + 23 + 23 which is 74 yd.
Solve 2x²-x-6=0 by factorisation
Answer:
x = 2, x = -3/2
Step-by-step explanation:
Factors to be (x-2)(2x+3) = 0
x =2, x = -3/2
Answer:
Step-by-step explanation:
2x²-x-6=0
2x²-(4-3)x-6=0
2x²-4x+3x-6=0
2x(x-2)+3(x-2)=0
(x-2)(2x+3)=0
I need help for that^^
Answer:
1<x<3
x < -4
Hopefully that helps :)
Need help ASAP QUESTION 13
Answer:
maybe this can help........... wait is it a time quiz
Step-by-step explanation:
PLEASE HELP ME DUE IN 10 MIN
Answer:
108
Step-by-step explanation:
9=height
12=wideness
9times12=108
I'm in a test please help
Select ALL the correct answers. A bicycle manufacturer uses the given expression to model the monthly profit from sales of a new model of bicycle, where x is the selling price of one bicycle, in dollars. -12 + 3001 20,000 At what selling prices for the bicycle will the manufacturer make neither a profit nor a loss? $50
$250
$200
$100
$150
$300
Select ALL the correct answers. A bicycle manufacturer uses the given expression to model the monthly profit from sales of a new model of bicycle, where x is the selling price of one bicycle, in dollars. -12 + 3001 20,000 At what selling prices for the bicycle will the manufacturer make neither a profit nor a loss? $50
answer 250
PLS HELP ASAP AAA TYSMM
The coordinates of the vertices of a triangle are A(1,2), B(4,5), and C(4,2). Find triangle A’B’C’ by translating triangle ABC 2 units to the right and 3 units down. Write: (1) the algebraic rule that describes the transformations and (2) the coordinates of A’B’C’.
Answer:
Parallelogram ABCD was translated to parallelogram A'B'C'D'. ... When ΔRST is translated 4 units down, what is the coordinate of T'? ... C. 7 units left and 5 units down. B. 7 units right and 5 units up. D. ... If the triangle DOG with coordinates (2, 2), (2, 10), (8, 6) is translated six units left and three units.
Step-by-step explanation:
1. Albert Einstein is driving down a country road at the speed of light. Just kidding. He's
actually going an average of 70 miles an hour. He started driving at 3 PM exactly and
arrived at his destination at 5:27 PM. If we need to calculate the distance from his starting
point to his destination, our answer will be in which units?
A. Miles
B. Hours
C. Miles per hour
D. Kilometers
Answer:
C. Miles per hour
Step-by-step explanation:
Answer:
c. miles per hour
Step-by-step explanation:
because he was driving in miles an hour
kiaras monthly rent increased from $425 to $480 whats the percent increase in her rent rounded to the nearest tenth of a percent
Answer:
1.1
Step-by-step explanation:
480/425=1.129
There was a 1.129 rent increase but you round to the nearest tenth so 1.1
Is it a function yes or no
Answer:
no
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
y o u s h a l l g e t 50 p o i n t s
i f y o u a n s w e r t h i s
Answer: 1.) 10
Step-by-step explanation:
-4 + 4 = 0
0 + 6 = 6
6 + 4 = 10
Answer:
3. Z=10 4. B=60
Step-by-step explanation:
For number 3 we work backwards. So, 6 - (-4) would equal 10. To check this -4 + 10 = 6. For number 4, we also work backwards, so 12 x 5 = 60. To check this 60/5 = 12. So z = 10 B = 60.
x^4 − 3x^2 − 90 x= -3
Answer:
-36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x⁴ - 3x² - 90
x = -3
Step 2: Evaluate
Substitute in x: (-3)⁴ - 3(-3)² - 90Exponents: 81 - 3(9) - 90Multiply: 81 - 27 - 90Subtract: 54 - 90Subtract: -36Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of Kara’s room?
A. 13 feet
B. 25 feet
C. 26 feet
D. 38 feet
Answer:
13 ft
Step-by-step explanation:
To find the perimeter of a rectangle you have to add the four sides of the rectangle, you have two sides and know the perimeter, this will help you find the length of her room. 12 ft is the width, add 12+12 and you have 24. The perimeter is 50 so subtract 24 from 50 and you have 26 that is the length times two, so divide 26 by 2. Now you have 13, so the length of her room is 13 feet.
Hope you understand now! :)
aiko is biulding a tower out of paper she starts by making 2 congruent circular bases she then makes 1 curved surface sor the body of the tower what 3 dimensional figure does aiko biuld
cylinder
Step-by-step explanation:
the basses is top and bottom so if there circular on top and bottom and curved surface for the body its a cylinder
18(3x+1)+3 ; x=2 evaluate the expression for the given value of the variable.
Answer:
Not sure but I think the answer is 129
Step-by-step explanation:
first, substitute the value of x in the expression like this
18(3*2+1)+3
after substituting, our work has made easier
18(6+1)+3
18(7)+3 or simply 18*7+3
126+3
129
Harry is reviewing his finances. He compiled a list of expenses and income. Which bar chart that accurately represents Harry's situation.
Expenses
Income
rent
$1,150.00 paycheck March 2 $1,068.16
insurance payment $187.00 paycheck March 16 $1,068.16
groceries
$423.62 paycheck March 30 $1,068.15
utilities
$124.18
cell phone
$84.33
car loan payment
$365.36
Harry's Finances
Harry's Finances
5,000
3,000
2,500
4,000
2,000
3,000
1,500
2,000
1,000
1,000
500
0
0
Expenses Income
Harry's Finances
Expenses Income
Harry's Finances
O
Answer:
The answer is the (Expenses is between 2,000-2,500) and the (Income is over 3,000)
Step-by-step explanation:
I just took the test i got it right
The bar chart that accurately represents Harry's situation is the one that shows his (Expenses that is between 2,000-2,500) and his (Income that is over 3,000).
What is a A bar chart?This is also known as a bar graph. It is seen as a chart or graph that depicts a kind of categorical data via the use of rectangular bars that has heights or lengths which are known to be proportional to the values that they stand for.
Note that the bars are often plotted vertically or horizontally and as such, The bar chart that accurately represents Harry's situation is the one that shows his (Expenses that is between 2,000-2,500) and his (Income that is over 3,000).
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in the graph above, what's the distance between (-1, -4) and (-1, 5)
Answer:
9
Step-by-step explanation:
5-(-4) =
5 + 4 = 9
Hope that helps!9
A factory worker finds 26 products are defective out of a random sample of 400
products. Based on the results, about how many of the 56,000 products produced this
month can be expected to be defective?
Answer: 36,400
Step-by-step explanation:
Answer:
Step-by-step explanation:
36,400
A party rental company has chairs and tables for rent. the total cost to rent 5 chairs and 3 tables is $ 27. The total cost to rent 2 chairs and 12 tables is $81.
cost to rent each chair=
cost to rent each table=
Answer:
14 and 16
Step-by-step explanation:
nryjettutwi523iwtietiitqy25
The Spanish Club has 78 members, 42 girls and 36 boys. What is the ratio of
girls to boys in the Spanish Club?
A. 6:7
B. 8:7
O C. 7:6
Answer:
C. 7:6
Step-by-step explanation:
Take your ratio 42 (G): 36 (B) and divide both numbers by six. This comes out to 7 (G): 6 (B) which is the simplest form of this ratio.
an airplane cruises 1 kilometer in 1/12 of a minute. what is its cruising speed?
Answer:
An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?200
Solve for x.
-6x +1 = -11
Help please
Answer:
x=2
Step-by-step explanation:
if you move the constant to the right, than calculate than divide both sides you should get x=2
Of 75is90 =120 true or false
Answer:
False
Step-by-step explanation:
complete the table. percent discount 25% sale price $40
whats the og price
Answer: 30$
Step-by-step explanation:
in what category does sugar, brown sugar, butter, eggs, vanilla, flour , unsweetened coca power , baking soda , salt & chocolate chips ? help please i’ll give extra points