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15 : The world population in 2010 was approximately 6.92 billion.
The annual rate of increase was about 1.0235. Find the world population in
2020.
This table gives the value of an investment for the first 5 years after the initial investment was made. The data can be modeled using an exponential function.
Years 1 2 3 4 5
Investment value $1,050 $1,103 $1,160 $1,215 $1,280
Based on the data, which amount is closest to the value of the investment 10 years after the initial investment?
$1,350
$1,475
$1,625
$1,800
Answer:
C.) $1,625
Step-by-step explanation:
Going by the numbers on the graph, you can immediately tell $1,350 and $1,475 are way too low, so cancel those out and you get $1,625 and $1,800
From here, you can see that in 5 years it hasn't gone up by far, so it won't be 1,800$ by 10 years end, making the answer clear
You can just double 280 and get 560, which the closest answer is 1,625
It's really just a high-low estimate question, 2 answers are too high or low, one is close but not really, and one is just right- or inbetween
$1,625
The amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where a is a constant and a>1
Let's suppose the exponential function that model the problem is:
[tex]\rm y = ae^k^x[/tex]
Plug x = 1 and y = 1050
[tex]\rm 1050 = ae^k[/tex] ...(1)
Plug x = 2 and y = 1103
[tex]\rm 1103 = ae^2^k[/tex] ...(2)
Divide equation (2) with (1)
[tex]\rm e^k = 1.0504[/tex]
Taking ln to get the value of k
k = 0.0491
a = 999.69
The exponential function:
[tex]\rm y = (999.6902)e^{0.0491}^x[/tex]
Plug x = 10 years in the above function:
y = $1633.44
Which is close to $1625
Thus, the amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ2
Someone plz HELP ME
Don't skip this question I'M STUCK
Drawing box and whiskers plots
Answer:
Water is added to liquid isopropanol (a polar liquid) to form a solution of rubbing alcohol. Describe what happens on the molecular level as the water dissolves in the isopropanol.
Step-by-step explanation:
Mr. Jackson orders lunches to be delivered to his workplace for himself and some coworkers. The cost of each lunch is $6.25. What expression could Mr. Jackson use to find the cost of ordering n lunches?
The question is incomplete, here is the complete question.
Mr. Jackson orders lunches to be delivered to his workplace for himself and some coworkers. The cost of each lunch is $6.25. There is also a one-time delivery fee of $3.50. What expression could Mr. Jackson use to find the cost of ordering n lunches
Answer:
6.25x + 3.50
Step-by-step explanation:
Mr. Jackon orders lunch for his coworkers and himself at the cost of $6.25
The delivery fee is $3.50
Therefore the expression that can be used to find the cost of ordering lunch is
n = 6.25(x) + 3.50
n= 6.25x + 3.50
Need help please get done fast.
Answer:
47
Step-by-step explanation:
the sum of all the interior angles in a triangle is 180.
25+108=133
180-133=47
Find the equivalent of 2x^2 + (4x -6x^2) + 9 - (6x + 3)
A. -4x^2 - 2x +12
B.-4x^2 -2x + 6
C.-10x +6
D. 18x +12
Answer:
B.-4x^2-2x+6.
Step-by-step explanation:
=2x^2+4x-6x^2+9-6x-3.
=2x^2-6x^2+4x-6x+9-3.
=-4x^2-2x+6.
of 8
What is the sum of the 1st square number and the 10th square number?
9514 1404 393
Answer:
101
Step-by-step explanation:
1² + 10² = 1 + 100 = 101 . . . sum of 1st and 10th square numbers
Answer:101
Step-by-step explanation:yw
If x = 3 units, y = 6 units, and h = 5 units, find the area of the parallelogram shown above using decomposition.
Answer:
12 square units
Step-by-step explanation:
Hope it helps
Help I need help I don’t know how to do this
Translate the sentence into an equation.
Seven times the sum of a number and 5 equals 2.
Answer: 7(x + 5) = 2
Step-by-step explanation:
Use the variable x to represent the number
7(x +5) = 2
Answer:
7(x+5)=2 x= -33/7
Step-by-step explanation:
Given line 1, with coordinates (-7,-3) and (4,7), and line
2 with coordinates (7,-7) and (-3, 4), find the slope of line 2
Answer:
-11/10 (fraction) or -1.1 (decimal)
Step-by-step explanation:
The slope formula is m=(y2-y1)/(x2-x1)
x1 = 7
x2 = -3
y1 = -7
y2 = 4
So, it’s: (4 - (-7))/(-3-7)
= (4+7)/(-3-7)
= (11)/(-10)
= -11/10 or -1.1
I hope this helps!
Cuales son los valores
Answer:
Can you please translate this into English so I can help you?
Step-by-step explanation:
I need answers to this
Answer:
x = -5, and y = -6
Step-by-step explanation:
Suppose that we have two equations:
A = B
and
C = D
combining the equations means that we will do:
First we multiply both whole equations by constants:
k*(A = B) ---> k*A = k*B
j*(C = D) ----> j*C = j*D
And then we "add" them:
k*A + j*C = k*B + j*D
Now we have the equations:
-x - y = 11
4*x - 5*y = 10
We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.
Then we can take the first equation:
-x - y = 11
and multiply both sides by 4.
4*(-x - y = 11)
Then we get:
4*(-x - y) = 4*11
-4*x - 4*y = 44
Now we have the two equations:
-4*x - 4*y = 44
4*x - 5*y = 10
(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)
If we add them, we get:
(-4*x - 4*y) + (4*x - 5*y) = 10 + 44
-4*x - 4*y + 4*x - 5*y = 54
-9*y = 54
So we combined the equations and now ended with an equation that is really easy to solve for y.
y = 54/-9 = -6
Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.
-x - y = 11
-x - (-6) = 11
-x + 6 = 11
-x = 11 -6 = 5
-x = 5
x = -5
Then:
x = -5, and y = -6
4X + 3x + 2(3 + 6). Simplify *
which one is the answer
7 + 18
7X + 18
7X + 12
Someone please help meee
(1, -4)
You could just count the units
which one is it help please
help please Write two numbers that multiply to the value on top and add to the value on bottom.
A water tank already contains 56 gallons of water in Baxter begins to fill it. water flows into the tank at a rate of 8 gallons per minute. write a linear equation to model this situation. Find the volume of the water in the sink 5 minutes after Baxter begins filling the tank.
Answer:
Equation: y = 8x + 56
After 5 minutes, the volume of the water was 96 gallons
Step-by-step explanation:
Use y = mx + b to create the linear equation, where m is the slope and b is the y intercept.
Since the water flows in at 8 gallons per minute, 8 will be the slope. The variable x will represent the number of minutes.
There are already 56 gallons of water in the tank, so b will be 56.
Plug in these values into the equation:
y = 8x + 56
So, the linear equation is y = 8x + 56
Using this, plug in 5 as x to find the volume of the water in the sink after 5 minutes:
y = 8x + 56
y = 8(5) + 56
y = 40 + 56
y = 96
So, after 5 minutes, the volume of the water was 96 gallons
SIMPLE > Simplify. 4√27 + 6√75 Enter your answer, in simplest radical form...
Answer:
42√3
Step-by-step explanation:
4√27 = 4√(9)(3) = 12√3
6√75 = 6√(25)(3) = 30√3
12√3 + 30√3 = 42√3
I need help plz help me !!
Answer:
110
Step-by-step explanation:
y = 11/6x where x is in minutes
there are 60 minutes in an hour
plug in 60 as x
11/6 *60 = 11*10 = 110
Answer:17
Step-by-step explanation:
Distribute
(x-6)(x-7)
a) x^2-13x-15
b) x^2-13x+42
c) x^2+x+42
d) x^2+x-15
Answer:
B. x² - 13x + 42
Step-by-step explanation:
Juan sells 3 oranges for every 2 apples. How many apples should Juan expect to sell
when Juan sells 15 oranges:
Answer:
10 apples
Step-by-step explanation:
We can write a ratio to solve
3 oranges 15 oranges
--------------- = -----------------
2 apples x apples
Using cross products
3x = 2 * 15
3x = 30
Divide by 3 on each side
3x/3 = 30/3
x = 10
Answer:
He can expect to sell 10 apples
What is the answer please + explanation
Answer:
86π
Step-by-step explanation:
A=2πrh+2πr2
A=2π*16+2π*4*7
A=32π+54π
A=86π
Hope this helps :)
rewrite the question in slope-intercept form:
2x-4y-12= -13-2x
Answer:
y= x + 1/4
Step-by-step explanation:
did the math and that should be your answer
Is it A) 5 or C) 1/5?
Answer:
5
Step-by-step explanation:
9 tens eqaul's how many ones? someone please help
Answer:
9 tens will be 90 (9x10=90) so there will be 90 ones
Step-by-step explanation:
I think that's what you are asking right?
Answer:
you are 100 percent correct
Nicole sold t-shirts at a festival and made a profit of $83. She made $5 for each t-shirt she sold. Her total expenses were $22. How many t-shirts did she sell?
Answer:
21
Step-by-step explanation:
83+22=105
105/5=21
1) Determine the quotient: 2 4/7 ÷ 1 3/6. * A.27/7
B.3
C.1 5/7
D.1 7/13
PLEASE HELP!!!!
If u give me the answer I will post another question for u worth ALOT of points just so rn I don't get scammed :(
How would you write the rules for solving fraction expressions?
A)- Addition
B)- Subtraction
C)- Multiplication
D)- Division
Answer:
multiplication
Step-by-step explanation:
HELP PLS! TYSM (brainliest if correct)
Answer: 15.1
Step-by-step explanation:
15.2
- 0.1
15.1