Using an exponential function, it is found that the city will be half populated in 9 months.
The population of Fantasy City doubles each month, hence, after t months, the population is given by:
[tex]P(t) = P(0)2^{t}[/tex]
In which P(0) is the initial population.Fully populated in 10 months, hence, the full population is:
[tex]P(10) = P(0)2^{10} = 1024P(0)[/tex]
Hence, half populated is [tex]P(t) = \frac{1024P(0)}{2} = 512P(0)[/tex], hence:
[tex]P(t) = P(0)2^{t}[/tex]
[tex]512P(0) = P(0)2^{t}[/tex]
[tex]2^t = 512[/tex]
[tex]2^t = 2^9[/tex]
[tex]t = 9[/tex]
The city will be half populated in 9 months.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25537936
What is with simplifying
-3p + 6p
Answer:
-3p+6p=3p
Step-by-step explanation:
It's just like saying -3+6,
but just with the p.
-3+6=3
therefore the answer is 3p
Alexa spins a spinner that is divided into 6 equally sections: 2 red, 1 green, and 3 blue. What is the probability that Alexa spins a red or green?
Answer:
probability = 1/2 or 50%
Step-by-step explanation:
number of red + number of green = 2 + 1 = 3
Probability of landing on a red or green = 3/6 = 1/2
Red
Step-by-step explanation:Red
help me my due is In 10 minutes. I don’t know
Step-by-step explanation:
You take the first amount ex: 80 then times 0.2 (20%->0.2) and ad the result to 80
Help, please
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.
−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3:negative five times x over negative five = fifty-three over negative five
Step 4: x = negative fifty-three over five
Answer:
The first step.
Step-by-step explanation:
Need help with a math problem If doing 5 stars and a good rating
Answer:
16:1
Step-by-step explanation:
Since there are 85 total people and 80 are students that means 5 are chaperones.(85-5) Therefore the ratio of students to chaperones is 80:5 or simplified 16:1.
Lisa's living room is 21 feet wide. If the length is 4 feet less than twice the width, what is the area of her living room?
square feet
Answer:
21+21=42
42-4=38
21x38=798sq ft
Step-by-step explanation:
Find the length x…..
Answer:
x = 4
Step-by-step explanation:
6 : 4.5 = 4 : 3
x : 3 = 4: 3
x= 4
Amanda went to the Farmer’s market with her family. She had $5.00 to spend and decided she wanted to spend it on peaches. Each peach cost 68 cents. How many peaches could she buy ?
Which graph best represents the equation x2 + (y – 1)2 = 3?
Answer:
Step-by-step explanation:
assuming the equation is x^2 + (y - 1)^2 = 3
I need help with math
51+60= 111 Answers fast rights
Help help help math math
Answer:
y=-1/2x-3
Step-by-step explanation:
Let's pick two points for slope.
[tex]\frac{-1+3}{-4-0}[/tex]
[tex]\frac{2}{-4}[/tex]
For the y-inctercept, the line intersect at the y-axis at (0,-3)
CHECK:
[tex]y=-\frac{1}{2} (-4)-3[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
30=2y+16 simplify your answer as much as possible
Answer:
y=7
Step-by-step explanation:
Wiebe Trucking. Inc. is planning a new warehouse to serve the west. Denver, Santa Fe, and Salt Lake City are under consideration. For each location, annual fixed costs (rent, equipment. and Insurance) and average variable costs per shipment (labor, transportation and utilities) are listed in the following table. Sales projection is range from 550,000 to 600,000 shipments per year.
a. Plot the total cost curves for all the locations on a single graph.
b. Which city provides the lowest overall costs?
The total cost curve shows the cost of total shipment from the different
cities.
a. Please find attached the graph of the total cost to quantity of shipment created with MS Excel.b. The city that provides the lowest overall cost is; Salt Lake City.Reasons:
The given parameters are;
The number of shipment per = From 550,000 to 600,000 per year
The given table is presented as follows;
[tex]\begin{tabular}{|l|c|c|c|}Location&Annual Fixed Costs&Variable Cost \\Denver&\$5,000,000&\$4.65 \\Santa Fe&\$4,200,000&\$6.25\\Salt Lake City&\$3,500,000&\$7.25\end{array}\right][/tex]
a. Required:
The plot total cost curve for the locations on a single graph.
Solution:
Please find attached the graph of the total cost curves created with MS Excelb. Required:
The city that provides the lowest overall cost.
Solution:
The two cities with the lowest overall costs are Denver and Salt Lake City.
From the total cost curve, the area under the curves are;Area under the curve for Denver;
(7557500 + 7790000) ÷ 2 × 50,000 = 383687500000
Area under the curve for Salt Lake City
(7487500 + 7850000) ÷ 2 × 50,000 = 383437500000
Therefore;
Salt Lake City provides the lowest overall costs.Learn more about total cost curves here:
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A line with a slope of 10 passes through the point (0,4). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=10x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-4=10(x-0)
y-4=10(x)
y-4=10x
y=10x+4
24-(8÷2)+6 I need help, please somebody answer
Answer:
26
Step-by-step explanation:
STEP
1
:
4
Simplify —
1
Equation at the end of step
1
:
(24 - 4) + 6
STEP
2
:
Final result :
26
multiply (2x+3y)(x-y)
Answer:
2x^2 +xy - 3y^2
Step-by-step explanation:
2x(x-y) +3y(x-y)
2x^2+xy - 3y^2
A boat is heading towards a lighthouse, whose beacon-light is 134 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
16°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 21°. Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.
this may help you very much
Sort the sequences according to whether they are arithmetic, geometric, or neither.
Answer:
arithmeticneithergeometricarithmeticgeometricStep-by-step explanation:
Arithmetic sequences have a common difference. Often, checking for that is the easiest. Geometric sequences have a common ratio. If there is neither a common difference nor a common ratio, then the sequence is not one of these types.
The difference or ratio refers to the relation of a term in the sequence to the one before it. For example, 94.1 -98.3 = -4.2. If the same difference exists for subsequent pairs of terms, then the difference is said to be "common." Likewise, 3.5/1.75 = 2. If the same ratio exists for subsequent pairs of terms, it is a "common" ratio.
__
98.3, 94.1, ... -- arithmetic (common difference = -4.2)
1, 0, -1, 0, ... -- neither
1.75, 3.5, ... -- geometric (common ratio = 2)
-12, -10.8, ... -- arithmetic (common difference = -1.2)
-1, 1, ... -- geometric (common ratio = -1)
Answer: Arithmetic (98.3,94.1, 89.9, 85.7,...) (-12,-10.8, -9.6,-8.4)
Geometric (1.75,3.5,7, 14) (-1,1,-1,1,...)
Neither (1,0,-1,0,...)
Step-by-step explanation:
I guarantee these are correct.
On a number line, where would
4/5
be located? Choose all answers that make
a true statement.
The amount of money charged to borrow money, expressed as a percentage,
is called the
A. collateral
B. interest rate
O C. principal
D. loan term
Answer:
Interest rate
Step-by-step explanation:
The amount owed is called the principal and the price of borrowing money is called interest. Some people spend a day's pay (or more) per week repaying the interest and principal owed on car loans, credit card bills, student loans, and other consumer debts.
Is the sum of 5x⁴ + x³ and 2x³ + x² a trinomial expression. If it is true, justify your answer.
Answer:
The sum is a trinomial. It has three terms of different powers in variable "x" and three non zero constants as coefficients.
Step-by-step explanation:
(5x⁴ + x³) + (2x³ + x²) = 5x⁴ + 3x³ + x²
The sum of 5x⁴ + x³ and 2x³ + x² is a trinomial expression that is 5x⁴ + 3x³ + x²
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The sum is a trinomial. It has three terms of different powers in variable "x" and three non zero constants as coefficients.
We are given the expression as;
5x⁴ + x³ and 2x³ + x²
We need to find of the sum of the expression as;
(5x⁴ + x³) + (2x³ + x²)
= 5x⁴ + 3x³ + x²
The sum of 5x⁴ + x³ and 2x³ + x² is 5x⁴ + 3x³ + x²
To know more about an expression follow;
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#SPJ2
I'm giving out a lot of points for this one!
Answer:
Step-by-step explanation:
AVERAGE rate of change looks only at the endpoints
m = Δy/Δx
m = (1.2 x 10⁶ - 0.35 x 10⁶) / (2640 - 1955)
m = 0.35 x 10⁶/ 685
m = 1241 beings / year
can anyone help me please? i have 14 more minutes to finish this can anyone help?
Answer:
B
Step-by-step explanation:
A is 3-2 which is 1, not 5.
C is 3(2), which is 6, not 5.
D is 6, which is not 5.
-hope it helps
Answer:
B
Step-by-step explanation:
2) through: (-4, 5) and (-5,0
what is the slope intercept form of the line
Answer:
hello
Step-by-step explanation:
say hell-o
For shipping the retailer charges a $4.95 flat fee or 5.75% of the total purchase, whichever is greater. If Lucia's total purchase is $78.99, how much shipping will she pay? PLEASE ANSWER ASAP
LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( use the scale factor to write the ordered pairs after the dilation )
please help me im giving brainliest
Step-by-step explanation:
49² + 98 + 1 compared to a² + 2ab + b² means that
a = 49
b = 1
as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1
so, we have actuality
(49 + 1)² = 50² = 2500
Answer:
49² + 98 + 1 compared to a² + 2ab + b² means that
a = 49
b = 1
as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1
so, we have actuality
(49 + 1)² = 50² = 2500
Step-by-step explanation:
solve for x where xe(0,2pi). state exact answers.
b)
[tex] \frac{1}{ \sqrt{3} } \sin(2x) + \cos(x) = 0[/tex]
e)
[tex]3 \cos(x) + \tan(x) = 0[/tex]
Note: for question e, get this equation to a point ready for factoring or to use the quadratic formula, then stop. make sure its in standard form.
Answer:
that's the correct answer
correct?````````````````````````````
Solve the equation for z, where z is restricted to the given interval.
[tex]y=7sinz[/tex], for z in [tex][-\frac{\pi }{2}, \frac{\pi }{2} ][/tex]
[tex]y = 7sin(z)\implies 0 = 7sin(z)\implies 0=sin(z)\implies sin^{-1}(0)=sin^{-1}[sin(z)] \\\\\\ sin^{-1}(0)=z\implies 0=z[/tex]