The function P(t)=25,000(1.1023)t2 can be used to model the population in the town of Madison t years from now. Interpret the function in terms of the context for this situation.
Answer:
A growth function has the following form.
where = Original amount,
r = annual rate of change,
n = number of periods,
t = time in years
Since the time is in years, we need to convert t into days. We know that 1 year = 365 days. So t years = 365t days.
So in this case, n = 365, r = 0.0095.
Then the function is rewritten as follows.
The daily growth rate would be
Step-by-step explanation:
Lets find year wise population for example
let years be 3t=3[tex]\\ \sf{:}\longrightarrow P(3)=25,000(1.1023)3^2[/tex]
[tex]\\ \sf{:}\longrightarrow P(3)=27557.5(9)[/tex]
[tex]\\ \sf{:}\longrightarrow P(3)=248017.5[/tex]
Choose the point-slope form of the equation below that
epresents the line that passes through the points (-6, 4) and (2,
0). (2 points)
•y -4= - 1/2 (x+6)
•y-4= 2(x+6)
•y+6= - 1/2(x-4)
•y+6= 2(x-4)
Answer:
A) y-4=-1/2(x+6)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-4)/(2-(-6))
m=-4/(2+6)
m=-4/8
simplify
m=-1/2
y-y1=m(x-x1)
y-4=-1/2(x-(-6))
y-4=-1/2(x+6)
If a die is thrown, the probability of getting even number is
a)1/2 b)1/6 c)1/3 d) 2/3
Answer:
A 1/2
Step-by-step explanation:
Its a half chance since theres 6 sides so 1/2:)
Answer:
[tex]b) \frac{1}{2} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
There are 20 questions on a test. Three points are awarded for a correct answer and – 1 for an incorrect answer. If Brian answered 14 questions correctly and 6 incorrectly, what is his score?
Answer:
36 points
Step-by-step explanation:
3x14 = 42
1x6 = 6
42-6 = 36
Hope that helps
Answer:
54 hope this helps
Eva is flying a kite, holding her hands a distance of 2.75 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 25°. If the string from the kite to her hand is 130 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.
Answer: 57.7 feet above the ground
sin 25= opposite/hypotenuse
= x/130
130 sin 25 = x
x=54.940374
54.940374+2.75 = 57.7
the LCM and GCF of 66 and 101
Answer:
GCF: 1
LCM: 6,666
Step-by-step explanation:
I hope this helps!
How do you graph x less than -3 1/2
Answer:
Graph attached
Step-by-step explanation:
Please help meeeeeeee! Gratefully appreciate it, happy holidays!
Answer:
x = 50
Step-by-step explanation:
180-(50+80)=x
180-130=50
Which expression is equivalent to 9 x 9 x 9 + 12 x 12 x 12?
Answer:
i think probably 2457 is answer
An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Show Your Work
Answer:
868412
Step-by-step explanation:
434206x2=868412
please solve quickly
Step-by-step explanation:
aVolume = length ×width × height
therefore
5cm× 6cm×2cm=volume
60cm³= volume
the volume is 60cm³bVolume = length ×width × height
1200mm³=20mm×10mm×H
1200mm³=200mm²×H
1200mm³/200mm²=200mm²/200mm²×H
6mm= H
the height is 6mm cVolume = length ×width × height
72m³=L×3m ×6m
72m³= L× 18m²
72m³/18m²= L×18m²/18m²
4m =L
the length is 4mdVolume = length ×width × height
256cm³=8cm ×w×8cm
256cm³=64cm²×w
256cm³/64cm²=64cm²/64cm²×w
4cm=w
the width is 4cm eVolume = length ×width × Height
379.6m³=5.2m×7.3m×H
379.6m³=37.96m²×H
379.6m³/37.96m²=37.96m²/37.96×H
10m=H
the height is 10mfVolume = length ×width × Height
288mm³=L×12mm×8mm
288mm³= L×96mm²
288mm³/96mm²= L×96mm²/96mm²
3mm=L
the length is 3mm.Write an expression for 5 times the difference of twice a number and 4
Answer:
1. 50-x
2. 2x+189
3. x+109
4. x+99
5. x*(76-39)
6. 75+x
7. 45-3x
8. 2x+15
9. 3x-25
10. x*(x+88)
Step-by-step explanation:
Select True or False to correctly classify each inequality.
Inequality True or False ( will give brainliest)
−2≤−2 true or false
6.1<6.1 true or false
5.6≥5.6 true or false
5.6≥5.6 true or false
−4>4 true or false
Answer:
−2≤−2 True
6.1<6.1 False
5.6≥5.6 True
5.6≥5.6 True
−4>4 False
Step-by-step explanation:
Hence, all the statements are true except option (4).
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given that,
[tex]-2\leq -2[/tex] is true, because [tex]-2[/tex] is equals to each other.
[tex]6.1 < 6.1[/tex] is true, because [tex]6.1[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]-4 > 4[/tex] is false, because [tex]-4[/tex] is not greater than [tex]4[/tex].
Hence, all the statements are true except option (4).
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can someone please help with math?!
Which angle do ΔEBC and ΔADC share?
Answer:
The angle in C
Step-by-step explanation:
Hey y’all, please help me with this.
Answer:
Select all numbers greater to or equal to 48. (48, 49, 51, 53, 58)
x ≥ 48
Step-by-step explanation:
If you divide both sides by two because you have a 2x and you need to get a single x, you would get x ≥ 48 (96 divided by 2) you would select all numbers greater to or equal to 48.
Answer:
48, 49, 51, 53, 58
Step-by-step explanation:
Equivalent inequality
96 ≤ 2x
(7*10 to the power of 5)*(3*10 to the power of 2)
Step-by-step explanation:
do you mean
7×10⁵ × 3×10²
as you can see, these are all multiplications. and we can do in a first step the multiplications that combine the factors with the same exponent base or simple constants :
7×3 × 10⁵×10² = 21 × 10⁷
in what format do you need the result ?
21 × 10⁷
2.1 × 10⁸ (standard format)
210,000,000
u +7 at u=9 step by step explanation plus answer i really need to know how please
Pentagon ABCDE and pentagon A’B’C’D’E are shown on the coordinate plane below:
the first one ((x+8, y+2), r x-axis)
What common side does ΔABC share with ΔADC?
BC
AD
BD
AC
Answer:
it's a and c
luk closely
5) - 2y = -2x
slope intercept form please someone help i don’t have much time
[tex]\text{Given that,}\\\\-2y = -2x\\\\\implies y = x\\\\\implies y = x+0\\\\\\\text{This is the slope- intercept form(y=mx+b) of the given equation,}\\ \text{where the slope is 1 and y - intercept is 0.}[/tex]
Jane’s starting annual salary is $45,520. At the beginning of each new year, she receives a $1,580 raise. What will her salary be after 11 years?
Answer:
$62,900
Step-by-step explanation:
simplify 4 (5x+3)-4x
Answer:
16x + 12
Step-by-step explanation:
20x + 12 - 4x
20x - 4x = 16x
16x + 12
Answer: 15x + 12
Step-by-step explanation:
(4 x 5x). (4 x 3). (20x - 4x). 15x + 12 is your answer.
Here's the Question ~
[tex] {2 - 1}^{2} [/tex]
Answer:
The answer is 1
Step-by-step explanation:
1² = 1×1
= 1
2 - 1² = 2 - 1
= 1
please help me!
ty :)
Answer:
slope: -4
Step-by-step explanation:
the formula to finding slope using two points is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
so insert the x- and y- values into the formula. you'll get:
[tex]m=\frac{-11-9}{3-(-2)}=\frac{-20}{5}=-4[/tex]
Any help wit this one
Answer:
22.5 centimetres per second.
Step-by-step explanation:
To get the awnser for this you do the highest length of centimetre which is 90 divided by how many seconds it took to get to 90 centimetres, then we do 90÷4 which equals to 22.5, so the awnser is 22.5 centimetres per second. Hope this helps.
What does it mean by domain and range and how would I use that to fill out the table?
The domain is the set of all allowed x values. In this case, we consider the whole numbers between 0 and 10. So we have x = 0, x = 1, x = 2, ... all the way up to x = 10.
To find the y values, you replace each x with the numbers mentioned and simplify.
For instance, if x = 2, then,
f(x) = 3.50x
f(2) = 3.50*2
f(2) = 7
This tells us that x = 2 packages cost y = 7 dollars.
what is 25% off $27
Answer:
6.75 $
Step-by-step explanation:
25%
= 25 / 100
= 1 / 4
25% of $ 27
= ( 1 / 4 ) x ( 27 )
= ( 1 x 27 ) / 4
= 27 / 4
= 6.75 $
Answer:
$20.25
Step-by-step explanation:
Kiran and Mai are going on a long bike ride.
• Kiran can ride 4 miles every 16 minutes.
Mai can ride 4 miles every 12 minutes.
.
How long will it take each rider to reach the end of a 12-mile bike path?
1) It will take Kiran minutes to reach the end of a 12-mile bike path?
2) It will take Mai
minutes to reach the end of a 12-mile bike path?
Blank 1:
Blank 2:
Question 4 (2 points)
Answer:
kiran will take 48 minutes 16 x 3
mai will take 36 minuttes 13 x 3
Step-by-step explanation:
(1) Kiran will take 48 minutes to reach the end of a 12-mile bike path.
(2) Mai will take 36 minutes to reach the end of a 12-mile bike path.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Kiran rides 4 miles every 16 minutes.
Also, Mai rides 4 miles every 12 minutes.
To find the time taken by Kiran and Mai to reach 12 mile bike paths,
Use ratio property,
Time taken by Kiran to ride 4 miles = 16 minutes,
For 1 mile = 4 minutes,
For 12 miles = 12 x 4 = 48 minutes
Time taken by Mai to ride 4 miles = 12 minutes,
For 1 mile = 3 minutes
For 12 miles = 12 x 3 = 36 minutes.
Kiran will take 48 minutes and Mai will take 36 minutes to reach the end of a 12-mile bike bath.
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RS is the perpendicular bisector of TU. Find x and y
Answer:
x = 1
y = 30°
Step-by-step explanation:
is RS is ⊥ to TU then TS = US so we can use this equation to find 'x':
20x-3 = 5x+12
15x = 15
x = 1
we also know that RS intersecting with TU creates a 90° angle
if 3y = 90 then y = 30