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!
Help
I neeed to get this question right
Answer:
6/10 is greater than 6/100
Step-by-step explanation:
6/10 = 3/5
6/100 = 3/50
3 fifties is lot more than 3 with 5 parts
hope it makes sense
What is the volume of a hemisphere with a radius of 2.6 m, rounded to the nearest tenth of a cubic meter?
Answer:
36.81
Step-by-step explanation:
V= (2/3)pir
Answer:
36.8 m^3
Step-by-step explanation:
Ji-yoon's bill at the restaurant was $45.10. She left a tip of 18%.
What was the tip amount (nearest penny)?
answer this pls
Add: 85 + (-96)
help
Answer:
The awsner is -11
Answer this question to get marked as brainliest!!!
Am I correct?? If not please correct me
Answer: 5x^2+3x+1
Step-by-step explanation:
Solving for (f+g)(x) add both functions so
(3x^2+4x)+(2x^2-x+1)
Add like terms
3x^2+2x^2=5x^2
4x+-x=3x
+1
Add terms
5x^2+3x+1
A cylindrical well has a radius of 10 feet and a height of 15 feet. What
volume of water will it take to fill in the well?
Answer:
Look below.
Step-by-step explanation:
We can use the information provided to plug it into a...
Fomula to find a volume of a cylinder:
V=πr^2h
V=π(10)^2(15)
V≈4712.39ft
helpppppppppppppppppppppppppp
Answer:Hmm okay its C because i had that before
Step-by-step explanation:
if its wrong then i dont know because my brother told me
(02.02)
The sum of three consecutive integers is 267. What is the largest integer? (1 point)
Answer:
90
Step-by-step explanation:
88 plus 89 plus 90 is equal to 267
Hey, my assignment is due in a few hours totally blew over me . Would appreciate some help !
HOPE THIS HELPS!!!!!!!!!!!!!! :)
120x 2/3 whats the aw2nser (hurry i need help)
Answer:
80
Step-by-step explanation:
120/1 x 2/3 = 240/3= 80 Hope that helps!
Pls solve I will mark brainliest!
It's the fourth answer, y=10. This is because the line is a straigh line is 180 degrees, which is shown in the photo. You have to take away 120 degrees (the angle is the same on both sides) which would leave you with 60. Then, thats the sum of the angle, but since were solving for y, you have to divide 60 by 6, which gives you your answer, 10. Hope this helps, if you need anything else you can message me!
WILL MARK BRAINLIEST
Answer:
A
Step-by-step explanation:
Math
2 miles is the equivalent to how many feet?
Answer:
10,560
Step-by-step explanation:
Super easy
Brainliest please :)
I don't know what this is.
Please! No one got the right answer here and i need it
In their last game, the New England
Patriots scored 9 points in the first half. In
the second half, they scored twice the
amount of points in the first half. What is
the ratio of points scored in the second half
to the total number of points scored?
Answer:
3:5
Step-by-step explanation.
The first half: 9
The second half is: 15
9:15 =3:5
Need help pleaseee someone
Answer:
Step-by-step explanation:
Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a phone help line. Each year, he has increased his fee by the same amount. The table shows what Neil charged each customer for two given years of his business:
Year Annual Tutoring Fee
2005 $1200
2008 $1350
A. What is the rate of change and initial value for Neil’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Neil charges each year.
Answer:
The answer is 2550
Step-by-step explanation:
Add 1200 and 1350 it'll give you 2550
Answer:
250
2550
Step-by-step explanation:
sorry if wrong but I think
A=250
B=2550
how many miles is bowman from stonecrest ga.
a.1 hr 48 min
b.17 min
c.46 min
d.none of the above
A circle with radius of \greenD{1\,\text{cm}}1cmstart color #1fab54, 1, start text, c, m, end text, end color #1fab54 sits inside a \blueD{3\,\text{cm} \times 3\,\text{cm}}3cm×3cmstart color #11accd, 3, start text, c, m, end text, times, 3, start text, c, m, end text, end color #11accd rectangle. What is the area of the shaded region?
Answer:
5.86cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the circle
Area of rectangle = Length * Width
Area of rectangle = 3cm * 3cm
Area of rectangle = 9cm²
Area of the circle = πr²
Given radius r = 1cm
Area of the circle = 3.14(1)²
Area of the circle = 3.14cm²
Area of the shaded region = 9 - 3.14
Area of the shaded region = 5.86cm²
Answer:
5.86cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the circle
Area of rectangle = Length * Width
Area of rectangle = 3cm * 3cm
Area of rectangle = 9cm²
Area of the circle = πr²
Given radius r = 1cm
Area of the circle = 3.14(1)²
Area of the circle = 3.14cm²
Area of the shaded region = 9 - 3.14
Area of the shaded region = 5.86cm²
In a servey of 80 people ,it was found that 60 liked oranges only and 10 liked both oranges and apples.The nuber of people who liked oranges is five times the number of people who liked apples.By using a venn diagram ,find the number of people who liked apples only and who didn't like any of thses fruits.
Answer:
10 people didn't answer the servey
Step-by-step explanation:
servey=80 people
70= answered the servey
so we should take the difference:-
80–70= 10
Hope I got the right answer!
p(x)+p(x+3)=10x-7 find p(3)
Answer:
Simplify each term.
Px+px+3p=10x−7
Move all terms not containing P to the right side of the equation.
Px=10x−7−px−3p
Divide each term by x and simplify.
P=10−7/x−p−3p/x
Step-by-step explanation:
What is 1.5•10^4•3•10^ 2?
Please help! I need this as soon as possible!
Answer:
1. 136°
2. 36°
3. 136°
4. 36°
5. 136°
6. 36°
7. 136°
8. 44°
Step-by-step explanation:
i don't know english very well so i don't knoe what transplant is but i think i got it right with my logic
Answer:
m∠1 = 136°
m∠2 = 44°
m∠3 = 136°
m∠4 = 44°
m∠5 = 136°
m∠6 = 44°
m∠7 = 136°
Step-by-step explanation:
Corresponding angles, like m∠1 and m∠5, need to equal each other.
m∠1 and m∠3 are the same
m∠3 and m∠2 need to be added together to equal 180
question is down below thank you
Answer:
In about 2018, we will have the population at 30 million
Step-by-step explanation:
Here, we want to get the year in which the population of Texas will reach 30 million
What we have to do here is to substitute f(x) for 30; then get the value of x at this point
We proceed as follows;
30 = 21(1.02)^x
30/21 = 1.02^x
1.42857 = 1.02^x
ln 1. 148257 = ln 1.02^x
ln 1.148257 = x ln 1.02
ln 1.42857/ln 1.02 = x
x = 18 approximately
Adding this to the initial 2000, we have 2018
What is a common factor for the two fractional terms
11
001 01
x and
?
The terms can be written as 5)
(x) and (11)
log
(x) y).
O 5
100 100
Weißt du Deutsch, ich kann vielleicht helfen
La propiedad del producto cero indica que si la multiplicación de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o más de los factores es cero.
If y lies on a number line , and x is added to y , which of the following would be true about the location of y + x?
Answer:
Step-by-step explanation:
If x is a positive number then y + x lies to the right of y, if x is a negative number then the location of y + x will be to the left, if x is zero then y and y + x are the same point
Write an inequality to represent 7 less than the product of a number, n, and 1/6 is at most 45."
Please help me, I need this right away!!!!
Answer:
The inequality to represent “7 less than the product of a number, n, and 1/6 is at most 45” is:
[tex]\frac{n}{6} -7\leq 45[/tex]
Solution:
Let the number be "n"
From given,
7 less than a product of a number n and 1/6 is at most 45
At most means "less than or equal to"
Therefore, inequality is framed as:
[tex]( n x \frac{1}{6}) -7 \leq 45[/tex]
Thus, inequality is:
[tex]\frac{n}{6} -7\leq 45[/tex]
Solve the inequality:
Add 7 to both sides
[tex]\frac{n}{6} -7 + 7\leq 45 + 7\\simplify\\\frac{n}{6} \leq 52[/tex]
Multiply both sides by 6
[tex]\frac{6n}{6} \leq 52 multiply 6[/tex]
simplify
[tex]n\leq 312[/tex]
Thus the inequality is solved.
hope it help :)
Order the side from greatest to least.
Η.
28°
118°
K
J
side [Select ]
Answer:
HJ>KJ>HK
Step-by-step explanation:
Side opposite to the largest angle is the largest.
Side opposite to smallest angle is the smallest.
ang K = 118° ang J = 28°
ang K + ang J + ang H = 180° (Sum of all the angles in the triangle is 180°)
118°+28°+angH=180° (Putting the values of ang K & ang J)
146°+angH=180°
ang H=180°-146°
ang H=34°
128°>34°>28°
ang K>ang H>ang J
Here, ang K is the largest, so the side opposite to it i.e. HJ will be the largest side.
Smaller than ang K and bigger than ang J is ang H, so the side opposite to it i.e. KJ will be smaller than HJ but bigger than HK.
Ang J is the smallest angle, so the side opposite to it i.e. HK will be the smallest.
HJ>KJ>HK.
