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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(01.04 MC)The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. (5 points) Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ft
B) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.
First of all, sea level is at 0 ft.
Thus;
If city A has an elevation of 80 ft below sea level, then;
Elevation of city A = -80 ft
The elevation of city C is 16 feet below sea level. Thus;
Elevation of city C = -16 ft
A) The elevation of city D is ¹/₂ of the elevation of city C. Thus;
Expression for Elevation of city D = ¹/₂ × (-16)
B) Solving the expression for elevation of city D gives;
Elevation of City D = -8 ft
The reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.
Read more about below sea level elevations at; https://brainly.com/question/14837848
Answer:
A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ftB) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.First of all, sea level is at 0 ft.Thus;If city A has an elevation of 80 ft below sea level, then;Elevation of city A = -80 ftThe elevation of city C is 16 feet below sea level. Thus;Elevation of city C = -16 ftA) The elevation of city D is ¹/₂ of the elevation of city C. Thus;Expression for Elevation of city D = ¹/₂ × (-16)B) Solving the expression for elevation of city D gives;Elevation of City D = -8 ftThe reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.
6/24 divided by 12/16 show work please
The value when 6/24 is divided by 12/16 is equal to 1/3.
To divide the fraction 6/24 by 12/16, we can simplify the problem by multiplying the first fraction by the reciprocal of the second fraction.
Reciprocal of 12/16 is 16/12.
So, the division can be written as:
6/24 ÷ 12/16 = 6/24 × 16/12
6/24 = (6 ÷ 6) / (24 ÷ 6) = 1/4
16/12 = (16 ÷ 4) / (12 ÷ 4) = 4/3
Now, we have:
1/4 × 4/3
To multiply fractions, we multiply the numerators together and the denominators together:
(1 × 4) / (4 × 3)
= 4/12
The fraction 4/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:
(4 ÷ 4) / (12 ÷ 4)
= 1/3
Therefore, 6/24 divided by 12/16 is equal to 1/3.
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Ms. Jackson wants to rent a van for a week. It will cost the weekly fee plus $0.80 per mile driven. Let m = the number of miles Ms. Jackson drives during the week. Use this information and the table to answer 13-15.
HELP
please help me!! will mark whoever gets it right brainlist
(question is in image below) ⬇️
Answer:
[tex](x-6)^2=8[/tex]
Step-by-step explanation:
[tex]x^2-12x+32=4[/tex]
[tex]x^2-12x+32+4=4+4[/tex]
[tex]x^2-12x+36=8[/tex]
[tex](x-6)^2=8[/tex]
Basically, you need to add a number to both sides so that you can reduce the left side to a square. In this case, you add 4.
the degree of the polynomial p³q²-6p²q⁵+p⁴q⁴
Step-by-step explanation:
[tex]p^{3}q^{2}-6p^{2} q^{5} +p^{4} q^{4}[/tex]
So since the highest index/power is 5 the degree is 5
Hope that helps :)
can someone please help me i'm almost done with my work
Answer:
you are correct with the following question
A mechanic is paid $61,490 in salary for a year. Assuming there are 26 pays in a year, what is her biweekly (average) salary? $30,745 $3,074.50 $1,182.50 $2,365
Answer:
$2,365
Step-by-step explanation:
Divide $61,490 by 26...
What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (0- -3)/(5- -4)
m = 3/9 = 1/3
24 peppermint; 8 to 5
equations 50 - 3x = 110
Answer:
x = -20
Step-by-step explanation:
50 - 3x = 110
=> -3x = 110 - 50
=> -3x = 60
=> x = -20
Hoped this helped.
Step-by-step explanation:
50 - 3x = 110
3x = 110 - 50
3x = -60
x = -20
Compound interest compounded quarterly is given every ______ months. *
1 point
1
3
6
Compound interest compounded semiannually is given every ___ months. *
1 point
1
3
6
The algebraic equation for interest is______. *
1 point
y=mx+b
e=mc2
i=prt
Principal $2000, rate 3.1%, 2 months, compounded monthly. Calculate the balance at the end of 2 months. *
1 point
$2010.35
$2025.62
$2003.10
What is your favorite Christmas cookie? *
1 point
chocolate chip
sugar cookie
peanut butter
other
Calculate the simple interest earned: principal $1000, rate 4%, 7 days *
1 point
$10.00
$0.77
$23.33
How is compound interest similar to a snowball rolling down a snow covered hill? *
1 point
The interest rate used to calculate earned interest is represented as a percent. True or False *
1 point
True
False
First name *
Given the same principal, rate and time which investment calculation would earn less? *
1 point
simple interest
compound interest
Last name *
Which word refers to the money deposited into an interesting bearing account ? *
1 point
cash
principal
bling
Answer:
3 months, 6 months, interest is 1 point or 0.01 for every percent, 2010.35, peanut butter but why is this a question, 0.77, It is similar to a snowball because as time goes on the account grows at the same percent but it is more money so it is a larger amount. This is very common in dividend investing. next question, yes it is a percent, simple because compound is always more or the same, I would say principal but I am not sure
Step-by-step explanation:
please help me with this!
•
•
•
Answer:
y=-2 is y intercept, graph opens upward like a smiley face
a=3 ,b=1, c=-2
Step-by-step explanation:
1.the graph opens upward since 3x^2 is positive
2.the graph corsses the Y axis when x is zero, so setting x equal to zero we find...
3(0)^2 + (0) -2 =y so y=-2 is y intercept
y=ax+bx+c
y=3x^2+x-2
a is represented by 3
b is 1 since x is positive
c is -2
Help help help math math
Answer:
I think its vertical opposite angle
America says that the point (0,0) on the graph below means that you use no sugar if you make 1 pie. Is America correct?
Answer:
America is correct
Step-by-step explanation:
it says 0,0 and then it would mean it wouldn't have any sugar in the pies
Answer:
No, America's wrong.
If you look on the graph, as the line increases you can see one pie needs around 3/4(not accurate). (0,0) is the origin point. No sugar is used, and no pie was made.
PLEASSEEE HELPP!!!!!
Answer:
m
Step-by-step explanation:
i really need help please
Answer:
207+ 364 = 571
Step-by-step explanation:
i guess?._.
The height of a door is 1.8 feet longer than it's with its front area is 1496.9 ft.² find the width and height of the door
The width of the door is [tex]37.8ft[/tex] and the height of the door is [tex]39.6ft[/tex]
Let
[tex]A=\text{the front area of the door}\\h=\text{the height of the door}\\w=\text{the width of the door}[/tex]
From the question
[tex]A=w\times h=1496.9\\h=w+1.8[/tex]
We are to find both the width and the height of the door. To proceed, we have to eliminate the height, and solve for the width. Later, we calculate the value of the height from the width.
Eliminate the height;
[tex]A=w\times h\\A=w\times(w+1.8)\\w^2+1.8w-A=0[/tex]
substitute the value of the front area into the equation and solve for the width
[tex]w^2+1.8w-1496.9=0\\w\approx 37.8\text{ or }w\approx-39.6[/tex]
the width can only take positive value. Now, to get the height
[tex]h=w+1.8\\=37.8+1.8\\=39.6[/tex]
the width and height of the door are [tex]37.8ft[/tex] and [tex]39.6ft[/tex] respectively.
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\displaystyle\lim_{ x \rightarrow 0 } \left( \dfrac{ \sqrt[ m ]{ 1+αx \phantom{\tiny{!}}} \times \sqrt[ n ]{ 1+βx \phantom{\tiny{!}}} -1 }{ x } \right)
Answer:
What are you trying to ask.
Step-by-step explanation:
Please Write in a understandable manner.
Thanks from India.
A car is traveling at 25 miles per hour during rush hour. How far does the car travel in
2 minute and 45 seconds?
Answer: 1.14583333333 miles
Step-by-step explanation: divide 25/21.81818181818182
The car will travel 1.15 miles in 2 minutes 45 secs
if a car is traveling at 25 miles per hour, the amount of time the car travels in secs is 3600secs
25 miles = 3600secs
To get the distance traveled in 2 minutes 45 secs, we can write;
x = 165 secs
Divide both expressions
25/x = 3600/165
3600x = 25 * 165
3600x = 4125
x = 1.15 miles
Hence the car will travel 1.15 miles in 2 minutes 45 secs
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Food fryers manufactured by a company that supplies food trucks can fry a
mean of 132.4 pounds of food per hour with a standard deviation of 3.9
pounds per hour. In a given hour, how much food would 99.7% of these fryers
fry?
A. 124.6 pounds per hour to 140.2 pounds per hour
B. 128.5 pounds per hour to 136.3 pounds per hour
C. 120.7 pounds per hour to 144.1 pounds per hour
D. 116.8 pounds per hour to 148.0 pounds per hour
Answer:
Correct Answer is C. 120.7 pounds per hour to 144.1 pounds per hour.
Step-by-step explanation:
Just took the Quiz <3
Which of the following is true about the relation shown below?
The relation is not a function, and its range is (-1,2,3,5).
The relation is a function, and its range is (-1, 2, 3, 5).
The relation is not a function, and the range is (-2,-1, 1, 3, 4).
The relation is a function, and the range is (-2,-1, 1, 3, 4).
Answer:
Last on is the answer!! (The relation is a function, and the range is (-2,-1, 1, 3, 4). Hope this helps:)
Select Is a Function or Is not a Function to correctly classify each relation.
Answer:
Is a functionIsn't a functionIs a functionIsn't a functionStep-by-step explanation:
Firs we need to understand what is a function-
from a set [tex]X[/tex] to a set [tex]Y[/tex] is an assignment of an element of [tex]Y[/tex] to each element of [tex]X[/tex].
This mean's that an element in [tex]X[/tex] can't have multiples values in [tex]Y[/tex], then if you find a coordinate with two different values, isn't a function.
Take for example the second data set:
[tex]\{(2, 3), (2, 5), (3,6), (9,4)\}[/tex]
All is good except for the first two coordinates because [tex]x[/tex] is define with two different values, then you can determinate that isn't a function.
Maybe you're confuses because exist some graphs that repeat values in [tex]x[/tex] as the graph of a circle, but this in reality isn't a function, is a relation. A relation can repeat values in the set [tex]X[/tex] infinity times but never is going to be a function.
my bro has homework and he needs help but I don't have the time to help him
Answer: 25
Step-by-step explanation:
Subtract 46.50 - 46.25 and you’ll get 25
Do both of them for 50 points
Answer:
1) 7/12, 2) 7/24
Step-by-step explanation:
Just plug in the values of c and d.
1) given: c = -1 1/4, d = -1
1/3 * (-1 1/4) - (-1)^3 = -5/12 + 12/12 = 7/12
(-1^3 is -1 (there's a positive in front as well so the negatives cancel out and it's just 1) and then convert everything to a common denominator (which is 12). 1/3 times -1 1/4 becomes -5/12 when you multiple straight across).
2) given: c = 4 1/4, d = 1 1/2
1/3 * (4 1/4 - (1 1/2)^3) = 1/3 * (17/4 - 27/8) = 1/3 * (34/8 - 27/8) = 1/3 * 7/8 = 7/24
(use pemdas/order of operations and solve the exponent first, then the parentheses. 1 1/2^3 is 27/8, and 4 1/4 is 34/8. when you subtract you get 7/8, then you can multiply straight across with 1/3 and you get 7/24.)
I have 17 ones, 15 tens, and 7 thousands
Answer:
You have 7,167
Step-by-step explanation:
If this was to be converted into a whole number, it would be:
7,167
What is the product of the expression below?
4/7
×
5/8
How to get to the answer
Answer:
isnt the answer just below the question?
Helppppppppppppppppppp
Answer:
<6
<4
Step-by-step explanation:
Remote interior angle is an interior angle that is not adjacent to the exterior angle of interest.
<6
<4
261,256,251,...
Find the 50th term.
Find the 50th term.
Answer: 16
Step-by-step explanation:
For n=1, 1st term = 261 - 5(1-1) = 261 - 5*0 = 261
For n=2, 2nd term = 261 - 5(2-1) = 261 - 5*1 = 256
For n=3, 3rd term = 261 - 5(3-1) = 261 - 5*2 = 251
So, For n=n, nth term = 261 - 5(n-1)
Thus, For n=50, 50th term = 261 - 5(50-1) = 261 - 5*49 = 261 - 245 = 16
-
Point K is on line segment JL. Given JK = 3 and KL = 8, determine the length
JL.
Answer:
JL = 11 units
Step-by-step explanation:
Add the units between JK and KL together to get the answer for JL