The population of a town was 5655 in 2010. The population grows at a rate of 2.6% annually.
(a) Use the exponential growth model to write an equation
that estimates the population t years after 2010.
(b) Fill in the following table for each value of . Show your work. You may use a calculator to
calculate the final answer. Round your answers to the nearest whole number.
The exponential equation used to represent the population of the town is given by y = 5655(1.026)ˣ
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population remaining after x years.
The population grow at the rate of 2.6% annually. Hence:
b = 100% + 2.6% = 1.026
There are initially 5655 people, hence a = 5655.
The equation becomes:
y = 5655(1.026)ˣ
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the questions are in the pdfs i really need help
Answer:
Step-by-step explanation:
1) 11 + 11
2) 17 - n
3) x^2
4) 3^3
5) 88 / 8
6) 6 + 11
7) the quotient of 35 and 5
8) the sum of 4 and 5
9) 10 squared
10) 3 less than x
13) p^3 + qp
2^3 + 4(2)
8 + 8 + 16
14) (y^3)z / 3
(5^3)3 / 3
125(3) / 3
375 / 3
125
15) 2 + (j - h)^2
2 + (5 - 3)^2
2 + (2)^2
2 + 4
6
Please help I don’t understand!!
Answer:
[tex] \frac{5(x + y)}{ - 8x} [/tex]
Step-by-step explanation:
quotient means division
numerator is the top
denominator is the bottom
product means multiply
sum means add
WILL GIVE BRAINLIEST
Answer:
answer choice is B
Step-by-step explanation:
Use mathaway and scan the problem
I need help asap! Pls :)
Answer:
Step-by-step explanation:
6x + 10 + 2x + 26 = 180
8x + 36 = 180
8x = 144
x = 18
MATHH QUESTION HELP. mesasuremtns
Answer:
Step-by-step explanation:
Answer:
See image
Step-by-step explanation:
Look at the front side of the building. It's a triangle, with the height given. We can see a right triangle here which means we can use the Pythagorean theorem. a^2 + b^2 = c^2 (a and b are the shorter sides called legs and c is the longest side called the hypotenuse)
20^2 + 13^2 = c^2
400 + 169 = c^2
569 = c^2 square root both sides
Sqrt 569 is approximately 23.85 ft. This is the length from the roof peak down the front edge to the bottom front right corner in the image.
Now, if we consider the roof itself. That edge is now a leg (on the front face it was the hypotenuse). The other leg is the 35 ft width given. So we'll use pythagorean theorem again to find the diagonal
23.85^2 + 35^2 = c^2
568.8 + 1225 = c^2
1793.8 = c^2
Square root both sides of the equation.
Sqrt 1793.8 = c
42.35 ft = c
The diagonal of the roof is just over 42 feet, that is 42.35 feet.
Pls answer will give brainiest
Answer:
8/15
Step-by-step explanation:
1/5 + 1/3 = 3/15 + 5/15 = 8/15
Will give brainliest
Answer:
between midnight and 3am i think
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!
Answer:
$319
Step-by-step explanation:
Usually, sales tax is proportional to the amount of the sale, so if the sales tax is a factor of 22/16 times the original tax, then the sale amount must be 22/16 times the original item cost:
(22/16)·$232 = $319
Which expression has a coefficient of 4?
A
(2^x)+4
B
4(2^x)+1
C
2(x^4)+1
D
2(4^x)+1
Answer:
Option D
Step-by-step explanation:
[tex]\\ \sf\longmapsto 2(4^x)[/tex]
You have to first find 4^x and then multiply it with two .Not like this
[tex]\\ \sf\longmapsto 2(4^x)=8^x [/tex](×)
Hence the variable has coefficient 4 as 4^x is multiplied.
PLEASE HELP!! ASAP THANKS
state whether each of the following equations represent growth or decay.
Answer:
ehhh Pfouto math ni
dali raka AA yooo
A=1/2h(b1+b2) is the formula for the area of a trapezoid. Rewrite the formula for h, and then find the height of the trapezoid that has an area of 78 square inches and base lengths of 5 inches and 8 inches.
Answer:
Let's neaten up that equation a bit:
trapezoid area = height * (sum of the bases) / 2
height = 2 * area / (short base + long base)
height = 2 * 78 / (5 + 8)
height = 156 / 13
height = 12 inches
Source: https://www.1728.org/quadtrap.htm
Step-by-step explanation:
The formula for the height is h = (b1+b2)/2A and the height of the trapezoid is 12 inches
What is area of a trapezoid?A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.
The area of a trapezoid is expressed as;
A = 1/2( a +b) h
where a and b are the parallel sides and h is the height.
Making h the subject
(a+b)h = 2A
h = 2A/( a+b)
h = 2A( b1 + b2)
A = 78 in²
a = 5 in
b = 8 in
h = 2 × 78/( 8+5)
h = 156/13
h = 12 in
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12
The solution to the system of equations below
is (x,y).
3x+y=13
2x - 4y = 18
What is the value of x?
please help!!!!
check for understanding:
Which of the following expressions is equivalent to 7 - 2 (y - 1)
Since nothing is shown, you can infer.
First to solve the expression:
1) Expand by distributing terms.
[tex]7-(2y-2)[/tex]
2) 2 Remove parentheses.
[tex]7 - 2y + 2[/tex]
3) Collect like terms.
[tex]-2y+(7+2)\\[/tex]
4) Simplify.
[tex]-2y + 9[/tex]
The expression that is equivalent to [tex]7-2(y-1)[/tex] is [tex]-2y + 9[/tex].
Hope this helps,
- Recordofraganrok
The equation of the blue line is y=-x+ 5. Manipulate the orange line by setting the sliders so its slope, m, is -1 and its y-intercept, b, is 5. Which statement describes the system after the changes? O The lines intersect at the same point as before the changes. O The lines intersect at a different point than before the changes. O The lines do not intersect. 0 The lines overlap.
Answer:
D
Step-by-step explanation:
0/35-31/35-2/35= Reduce if possible
Hi!
I will write it like this to make it easier to see:
[tex]\frac{0}{35} - \frac{31}{35} - \frac{2}{35}[/tex]
Seeing this, we can right away take the [tex]\frac{0}{35}[/tex] away to make it easier, because 0/35 is 0. Now, we are left with:
[tex]-\frac{31}{35} - \frac{2}{35}[/tex]
Since the denominators (the 35s) are the same, we do not have to mess with those. We simply subtract the numerators (-31 - 2) and we get -33. Therefore, your answer is :
[tex]-\frac{33}{35}[/tex]
Hope this helps! Have a great day! :D
Solve the equation logx = cosx to five decimal places by Newton Raphson method.
Answer:
OK okokokokokokokokokokokok
Which number is a perfect cube?
O4
O 16
O 24
O 64
The bill at a. Restaurant came to 136 dollars and 40 sents the paytrons decided to leave a 15 percent tip what was the total bill including the tip
Answer:
$ 156.86
Step-by-step explanation:
We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.
The total bill including tip would 136.40 plus 15% of136.40plus15136.40.
\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40Total bill=$136.40+10015×$136.40
\text{Total bill}=\$136.40+0.15\times \$136.40Total bill=$136.40+0.15×$136.40
\text{Total bill}=\$136.40+\$20.46Total bill=$136.40+$20.46
\text{Total bill}=\$156.86Total bill=$156.86
Therefore, the total cost of bill including tip would be $156.86.
What is the equation of the line that passes through the point (8,-4) and has a slope of 1/2
Answer:
y = 1/2x - 8
Step-by-step explanation:
Assuming that they want the equation in slope intercept form we would use the following form: y = mx + b
where m = slope and b = y intercept.
We are given the slope and a point on the line. We need to find the y intercept. We can do this by plugging in what we are given and then solving for b.
y = mx + b
slope (m) = 1/2
x value of given point (x) = 8
y value of given point (y) = -4
- plug in these values -
-4 = (1/2)(8) + b
now solve for b
multiply 1/2 and 8
-4 = 4 + b
subtract 4 from both sides
-8 = b
So the y intercept (b) is -8
We now plug in the slope and y intercept into slope intercept form
y = mx + b
m = 1/2 and b = -8
y = 1/2x - 8 is the equation of the line that passes through the point (8,-4) and has a slope of 1/2
For more validation refer to the attached image.
[tex]\text{Given that,}\\\\(x_1,y_1) = (8,-4), ~~ \text{and slope, m} = \dfrac 12\\\\\text{Equation with given points,}\\\\y -y_1 = m(x-x_1)\\\\\implies y -(-4) = \dfrac 12 (x-8)\\\\\implies y+4 = \dfrac 12 x - 4\\\\\implies y= \dfrac 12x -4 -4 \\\\\implies y = \dfrac 12 x -8\\\\\implies y = \dfrac{x-16}2\\\\\implies 2y = x -16\\\\\implies x -2y = 16[/tex]
I’ll give brainliest to the person who give me the correct answer and pointsss.
Match them
I think the y=ab^x goes with the first graph and the y=logbc goes with the second
Step-by-step explanation:
pictures
For which value of x is inequality 3(1+x)<+6true?
Answer: For in the inequality to be true, X must be less than or equal to 1. That represented as an in equality is X < 1.
x<1 true
Step-by-step explanation:
3(1+x)<+6= 3×1+3×X<+6=3+3x<6 then3x=6-3 solution 3x=3 devide by 3 both sides the answer is x=1 hence x<1 verified
Select the correct answer.
Which phrase best describes the relationship indicated by the scatter plot?
a. constant Correlation
b. negative Correlation
c. Positive correlation
d. no correlation
Answer:
no correlation
Step-by-step explanation:
they arent in a line
The phrase that best describes the relationship indicated by the scatter plot is D. No correlation
What is a Scatter Plot?This refers to the use of dots to represent values for two different numeric variables.
Hence, we can see that the best description that can be used to show the relationship in the scatter plot is option D which is no correlation because they are not in a line.
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Math Algebra 1 Honors Unit 4 that's what it is
Answer:
Unit 4- Expressions and Equations: In this unit, students build on their knowledge from unit 2, where they extended the laws of exponents to rational exponents. Students apply this new understanding of number and strengthen their ability to see structure in and create quadratic and exponential expressions.
Find the slope of a line paprallel to the line below
help please, i'm confused
Answer: C
Step-by-step explanation:
Answer huuhHH
Step-by-step explanation:
How much money will you spend on these items? Round to the nearest cent.
Shopping List:
2.75 pounds of grapes.
0.8 pounds of garlic
The grapes are $0.89 per pound.
The Garlic is $0.34 per pound. Please Help
Answer:
$2.72
Step-by-step explanation:
2.74x0.89=2.4475
0.8x0.34=0.272
2.447+0.272=2.719, rounded is 2.72
solve the system using substitution 4x+3y=23 x-5=0
Answer:
y=1, x=5
Step-by-step explanation:
Since x-5=0 is given already, give the x a value and switch the 5 to the other side x-5=0 ----> x=5
Now we have a value for x, so plug x into the original equation,
4(5)+3y=23,
20+3y=23
Subtract both sides by 20
20-20+3y=23-20
3y=3
dvide both sides by 3
y=1
use the value for x we got earlier
y=1, x=5