Answer:
The population in 2015 will be 165 million.
Step-by-step explanation:
The exponential growth formula is given by:
[tex] f(t) = a(1 + r)^{\Delta t} [/tex]
Where:
a: is the initial population
r: is the rate of increase
Δt: is the time
With the initial information we can find the rate:
[tex] 151 = 145(1 + r)^{1998-1990} [/tex]
Using logarithm:
[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]
[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]
[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]
Using exponential:
[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]
[tex] r = 5.081 \cdot 10^{-3} [/tex]
Now, we can find the estimated population in 2015:
[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]
[tex] f(t) = 165 [/tex]
Therefore, the population in 2015 will be 165 million.
I hope it helps you!
A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive bounce is 67% of the previous bounce's height. What would be the height of the 8th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:
4.79
Hope this helps! :D
Answer: 0.2
Step-by-step explanation:
HELPPPP PLSSSSS!!! ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
752÷2= 376
52÷2÷ 26
376- 26= 350 adult tickets
376+26= 402 student tickets
please help question is in the picture
Answer:
tan ∅ = 15/8
Step-by-step explanation:
tan ∅ = 15/8
Given: KW perpendicular to JO. JP perpendicular to KO. KW intersects JP=Q Prove: triangle OKW similar to triangle OJP
Answer:
OKW similar to triangle OJP using Angle Angle
Step-by-step explanation:
Given
See attachment for triangles
Required
Prove their similarity
From the attachmen:
[tex]\angle JPO = \angle OWK = 90[/tex]
Also:
[tex]\angle O = \angle O[/tex] for both triangles i.e. reflexive property
Hence:
OKW similar to triangle OJP by AA i.e. Angle Angle
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8
9
10
What is the simplified form of the following expression?
7(V2x) - 3(V16x)-3(Vox
0 -5(2x)
o 2x-6(K)
0 -(/2X) - 6(V)
Answer:
is there a pic u could show?
Step-by-step explanation:
please help! will give the crown to whoever helps
Solve for x: 5x = 2/7
Point-Slope Form - Item 33745
Question 3
Select the two statements that are true about the equation y-5 = 12(3 – 4).
CLEAR
CHECK
The slope of the line is 5.
The slope of the line is 12.
One point on the line is (4, 5).
One point on the line is (5, 12).
Answer: The slope of the line is 12 and One point on the line is (4,5)
Step-by-step explanation: Point-slope form is written like this: Given a point (a, b) on a line and m being slope , y-b = m(x-a)
Help me with this!!!!!
Answer: GH=16
Step-by-step explanation:
Equal triangles have equal sides
Will mark brainly
ASAP
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Find the discriminant. (Must Show Work)
-9m^2+m-7=0
Answer:
-251
Step-by-step explanation:
the discriminant .b^2-4ac
=1-4×(-9)×(-7)
=1-252=-251
slove the evolution 10-i=3
Answer:
ans 7
Step-by-step explanation:
given
10_i=3
10_i_3=0
7=i
i=7
Patricia buys a round dinner table. The radius of the dinner table is 6 meters.
What is the area of the table?
Answer:
113.04
π×6^2 is the solution of this
Answer:
area = 113.1 m²
Step-by-step explanation:
area = PiR²
area = (Pi)(6²) = 113.1 m²
Can someone solve this problem?
(4x^2)+99-4x(16x)
[tex](4x^2)+99-4x(16x)\\=4x^2+99-64x^2\\=-60x^2+99[/tex]
Is this what you want???
Please Help Me Answer:
-6n - 5 = 31
Answer:
n = - 6
Step-by-step explanation:
Given
- 6n - 5 = 31 ( add 5 to both sides )
- 6n = 36 ( divide both sides by - 6 )
n = - 6
Answer:
n= -6
Step-by-step explanation:
-6n=31+5
-6n=36
n=36÷-6
n= -6
To rent a party room, customers
are charged an amount equal to the number
of hours they rent plus a $60 cleaning fee.
What is the cost of a 3-hour rental?
WILL MARK BRANLIEST !!
Answer:
78
Step-by-step explanation:
im not sure but i think is 78
60+18=78
sorry
John filled his car gas tank with 21 gallons of gas. He paid $54.39. What was the price of 1 gallon
Answer:
2.59
Step-by-step explanation:
Divide $54.39 by 21.
Answer:
$2.59/gallonStep-by-step explanation:
Given that
21 gallons = $54.39Find the price per gallon.
21/1 = 54.39/price
price = 54.39/21
price per gallon = $2.59 (two Dollars and fifty nine cents)
____________________
#IndonesianPride - kexcvi
PLEASE HELP ASAP PLEASE
Answer:
288 cm^3
Step-by-step explanation:
A customer pay 72$ for 18 sandwiches. If each sandwich cost the same amount , what is the cost per sandwich, in dollars?
Answer:
Each sandwich costs 4$.
Step-by-step explanation:
To find the answer we will divide 72$ by 18 and we get 4$.
The number of sandwiches and the total price of sandwiches are directly proportional.
Cost of 18 sandwiches = $72
Cost of 1 sandwich = $72/18
= $4
Hence the cost of 1 sandwich is $4.
Sonia Oopsmeyer, who is proud of how fast she can punch numbers into her calculator, divided a number by 40 instead of multiplying it by 40. Her answer, which was wrong, was 20. What is the correcr answer? Describe the steps you took to find the correct answer.
Answer:
320
Step-by-step explanation:
x is the mystery number
x÷40=20
20x40=80
80=x
80x40=320
hope this helps
DUE ASAP PLS
HELP
5. Find BC.
5. In Triangle ABC, angle A is a right angle and angle B= 60. If AB= 20 ft, find BC. If necessary, round your answer to the
nearest tenth.
A) 10ft
B) 40ft
C) 20 √ 3 ft
D) 40 √ 3/3 ft
8
z
5
+
4
y
−
4
z
3
+
z
8
z
5
+
4
y
-
4
z
3
+
z
Answer:
What???
Step-by-step explanation:
Cant see it?????
Based on the article, which of the following is MOST important to all economic systems?
A. Economic freedom
B. Factors of production
C. Equal distribution of wealth
D. Government-owned services
a-15=4a-3
if u dont want spam then dont answer
Step-by-step explanation:
Simplify the equation to find the value of a.
Subtract 4a from both sides:
[tex] - 3a - 15 = - 3[/tex]
Add 15 to both sides:
[tex] - 3a = 12[/tex]
Divide each side by -3:
[tex]a = - 4[/tex]
a car accelerates from 25 km/hr to 55 km/hr in 30 seconds. what is its accelerates ?
Here's link to the answer:
tinyurl.com/wpazsebu
Are the two flags similar? If so, which triangle similarity theorem did you use to make your conclusion?
Answer:
NOStep-by-step explanation:
I THINK THE RIGHT ANSWER IS RHS THEOREM.Why is DB equal to tan(theta)?
Step-by-step explanation:
[tex]tan = \frac{opposite}{adjacent} [/tex]
tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1
Hollis goes outside at 2:00. He spends 48 minutes riding his bike and playing with his dog. What time is it now? Write the time in two ways.
Answer:
2:48
Step-by-step explanation:
48 minutes passed and he went outside at 2:00 im not sure what they mean by write it in 2 ways though
Find the value of x in the figure.
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]
~Set up an equation and solve for x :
→ [tex] \large{ \tt{10x + 45 \degree = 75 \degree + 70 \degree}}[/tex] [ Exterior angle is always equal to the sum of two non-adjacent interior angles ]
Add the numbers : 75° & 70°
→ [tex] \large{ \tt{10x + 45 \degree = 145 \degree}}[/tex]
Since we want to get rid of the constant in the left hand side , subtract 45 from both sides :
→ [tex] \large{ \tt{10x + 45 \degree - 45 \degree= 145 \degree - 45 \degree}}[/tex]
→ [tex] \large{ \tt{10x \: \cancel{ + 45 \degree} \: \cancel{ - 45 \degree} = 100 \degree}}[/tex]
→ [tex] \large{ \tt{10x = 100 \degree}}[/tex]
~Divide both sides by 10
→ [tex] \large{ \tt{ \frac{10x}{10} = \frac{100}{10}}} \degree[/tex]
→ [tex] \large{ \tt{x = 10 \degree}}[/tex]
⟿ [tex] \boxed{ \boxed{ \large{ \text{Our \: Final \: Answer} : \underline{ \bold{ \tt{x = 10 \degree}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
☄Let me know if you have any questions regarding my answer !
♪ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎
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Keisha conducts a survey to determine how many siblings each of her classmates has. The data are shown below.
0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2
What is the mean value of Keisha’s data?
A. 0.75
B. 1
C. 1.3¯
D. 2
Answer:sorry its c
Step-by-step explanation:
The mean value of Keisha’s data is 1.333333.
What is Mean?The mean is the average of a set of variables in mathematics and statistics. There are several methods for computing the mean, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations),
We have the data,
0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2.
So, the mean value of data is
= (0 +1 + 0 + 2 + 2 + 1 + 3 + 0 + 4 + 0 + 1 + 2)/12
= 16/12
= 4/3
= 1.33333
Learn more about Mean here:
https://brainly.com/question/30891252
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