Complete question :
The exponential model A=16.2e^0.01t describes the population, A, of a country in millions, t years after 2003. What was the population in 2003?
Answer:
16.2 million
Step-by-step explanation:
Given the equation :
A=16.2e^0.01^t
Where, t = number of years after 2003
The population in year 2003 ; can be obtained thus ;
t = 2003 - 2003 = 0
Put t = 0 in the equation :
A(0) =16.2e^0.01^0
A(0) = 16.2 * 1
A(0) = 16.2
Hence, population in 2003 is 16.2 million
A water bottle in the shape of a cylinder holds 1 litre of water when it's full. It's height is 15cm. Work out the radius of the water bottle (1litre=1000cm3)
Answer: 4.6 cm
Step-by-step explanation:
Given
Volume of water [tex]V=1\ L\ \text{or}\ 1000\ cm^3[/tex]
The height of the water is [tex]h=15\ cm[/tex]
The volume of the cylinder is [tex]\pi r^2h[/tex]
Insert the values
[tex]\Rightarrow 1000=\pi (r^2)15\\\\\Rightarrow r^2=\dfrac{1000}{3.142\times 15}\\\\\Rightarrow r^2=\dfrac{1000}{47.13}\\\\\Rightarrow r^2=21.217\\\Rightarrow r=4.6\ cm[/tex]
what is the area of the figure below?
35
41
46
51
17 and 18 please no links
Answer:
17) 135 degrees
Step-by-step explanation:
An octagon contains six triangle, or 1080 degrees, meaning each angle is 135 degrees.
Step-by-step explanation:
1. an octagon contain 6 triangles or 1080 degrees this means with 8 angles each angle is 135 degrees
Solve the inequality for x.
-15 + x ≤ - 13
Simplify your answer as much as possible.
The length of the sides of a triangle is given. Determine
whether or not the triangle is right, acute, or obtuse.
6, 8, 10
a Right
b Acute
Obtuse
Answer:
The triangle is a right triangle
Step-by-step explanation:
For the triangle to be right, Pythagoras’ theorem must be obeyed
According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides
Now, from the given side lengths, the highest value is 10;
squaring this, we have 10^2 = 100
Squaring and adding the other values, we have
6^2 + 8^2 = 36 + 64 = 100
This mean the values are equal and the Pythagoras’ theorem is obeyed
Hence, we can conclude that the triangle with the given side lengths is a right triangle
Solve it please and show work! 30 CREDITS.
Answer:
D
Step-by-step explanation:
Can someone help me I don’t quite understand ILL GIVE BRAINLY to whoever is right
Answer:
it is C if I am not mistkin
Sophia has $6,000 to invest. She is considering two investment options. Option A pays 2.2% simple interest. Option B pays 2% interest compounded annually. Use the drop-down menus below to choose which option is the best choice for Sophia for each number of years.
Answer:
Option A and option B
Step-by-step explanation:
Given that
Sophia wants to invest $6,000
There are two investment options
Option A pays 2.2% simple interest
and, Option B pays 2% interest compounded annually
Now we need to find out which option is the best choice
In the case when Sophia wants to invest for 10 years, so she should select
option A as the investment will have highest value.
In the case when Sophia wants to invest for 20 years, so she should select
option B as the investment will have highest value.
PLEASE HELP ME!!!!! #4,5!!!!
Answer:
4a) 9n - 3
4b) n = 11
Step-by-step explanation:
3(3n - 1)
9n - 3
9n - 3 = 96
9n - 3 + 3 = 96 + 3
9n = 99
9n ÷ 9 = 99 ÷ 9
n = 11
HELP I HAVE 5 MIN
what is x?
Answer:
x = 42
Step-by-step explanation:
i hope this helps :)
Can someone pleaseeee help and if you’re correct i’ll give brainlist
What is the value of y when x = 0?
Answer:
0
Step-by-step explanation:
I am not sure you included the full question, but if it is a multiplication problem, the answer is 0.
Hey, would anyone know the answers/correct matchup to this? (USA test prep)
Answer:
there you go
Step-by-step explanation:
Shape A,Shape B,Shape C and Shape D are nets for pyramids or prisms. Drag the name of each net to the correct container
Answer:
shape a and shape d are pyramids
b and c are prisms
The current temperature is 48F. It is expected to drop 1.5F each hour. Determine how many hours the temperature will be 36 F.
Answer: 6 hours
Step-by-step explanation:
48/6 = 8
36/6 = 6
Will give brainliest to first right answer!!!!!!
Answer:
It is False
Hey bro Good Luck for exams!
Step-by-step explanation:
I think it's answer is false
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
no the quadrilateral isn't a parallelogram
Step-by-step explanation:
For it to be a parallelogram, the opposite sides must be parallel to each other and in this case it's not.
PLEAAEEEEEE HELP! CORRECT ANSWER GETS BRAINLIEST URGET!!
Answer:
Graph F
Step-by-step explanation:
Given
x + 3 < 7 ( subtract 3 from both sides )
x < 4
Since x is less than 4 then this is indicated by an open circle at 4 on the number line with the arrow pointing to the left as shown on graph F
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
B
Step-by-step explanation:
It is a positive correlation and it has a causation
I don’t know this ppl I need help lol
Answer:
15
Step-by-step explanation:
Hester sells televisions. She earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. If Hester sells 18 televisions with extended warranties, she earns $1,350. How much is the fixed amount Hester earns for each television?
The fixed amount Hester earns for each television she sells is what?
Answer:its 70 i did it on savas
Step-by-step explanation:
PLEASE HELP
I WILL MARK BRAINLIEST♡
Can someone help me find the surface area?
Answer:
152in !!! hope this helps :D
Step-by-step explanation:
side 1: 40in + side 2: 40in + bottom side: 24in + triangle side 1: 24in + triangle side 2: 24in
HELP ME PLEASE ANSWER THE QUESTION CORRECTLY
Answer:
$4,499.46
Step-by-step explanation:
after year 1 $4160, after Year 2 $4326.40, after 3 years $4499.46
What is the parent equation for exponential growth and decay?
Answer:
Doing so allows you to really see the growth or decay of what you're dealing with. The basic parent function of any exponential function is f(x) = bx, where b is the base. Using the x and y values from this table, you simply plot the coordinates to get the graphs.
Step-by-step explanation:
Answer:
A = P x r^t
Step-by-step explanation:
A = Amount (e.g. number of organisms in population after certain period of time)
P = Principal/ Initial Value (e.g. the starting population)
r = rate as a decimal (e.g. if a population increases over certain period of time by 20%, r would equal 1.2)
t = time in whichever units you need.
Example of problem using formula:
A population of 2000 decreases by 20% every year, find the population size after 5 years.
A = ?
P = 2000
r = 0.8
t = 5
A = Pxr^t
A = 2000 x 0.8^5
A = 655.36
Hope this helped!
to make a sports drink for a football team, jaylen filled 9/10 of a large cooler with water. then he filled the remaning space with 6 cups of sports drink concentrate.
How many gallons of sports drink did Jaylen make?
Hello!
Assuming that we are using U.S. terms, there are sixteen cups in a gallon.
We can assume that there are six cups per tenth of the cooler. Our first job is to multiply 6 times 10 to get the amount of cups of sports drink.
6 · 10 = 60.
Now we need to find out how many gallons of sports drinks there are. To find how many cups go into a gallon, we divided 60 by 16.
60 ÷ 16 = 3.75
So, for our final answer,
Jaylen made 3.75 gallons of sports drink. (3 [tex]\frac{3}{4}[/tex])
waffletowne
Can anybody help me?
Answer:
im literally doing the same question , i hope someone helps us .
Step-by-step explanation:
Answer:
G (0,5) i think
Step-by-step explanation:
The difference of two numbers is 3. Their sum is 13. Find the numbers.
Answer:
5and 8 is the correct answer
hope it helps you have a good day
A coin is flipped 8 times. Find the probability of the event: exactly 3 heads
Answer:
The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.
Answer:
Step-by-step explanation:
The answer is exactly 0.219
You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like
8 * 7 * 6 / 3!
3! = 6
So the answer is 8*7 = 56
There are 2^8 = 256 ways you can throw either heads or tails.
The number of successes = 56/256 = 0.219 The nine is rounded.
What is 385,734 rounded to the nearest ten thousand?
Answer:
390,000
Brainliest?
Answer:
390,000.
Step-by-step explanation:
The ten thousand number is 8, and to the right of it is 5 so anything five and over is roundable, so 8 get rounded to 9.
X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to the left of 8.52.
Answer:
7
Step-by-step explanation:
σ = 4 ; μ =?
8.52 to the left of X
.
P(X < 8.52) = 64.8%
P(X < 8.52) = 0.648
Using the Z relation :
(x - μ) / σ
P(Z < (8.52 - μ) / 4)) = 0.648
The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)
Z = 8.52 - μ / 4
0.38 = 8.52 - μ / 4
0.38 * 4 = 8.52 - μ
1.52 = 8.52 - μ
μ = 8.52 - 1.52
μ = 7