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 package for number cubes is in the shape of a right rectangular prism. The package holds 2 cubes across, 2 cubes high, and 5 cubes deep. Each edge of each number cube measures of an inch. What is the volume of the package?
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
Answer:
20 cubic inches
Step-by-step explanation:
Math riddle here
The sum of all the four numbers is 31.
Only one of number is odd.
The subtraction of the lowest number from the highest number is 7.
If you subtract two of the middle numbers, it equals two.
What four numbers am I thinking of ?
Answer:
15+8+6+2=31
Step-by-step explanation:
highest no. is 15
15-7=8
31-15-8=8
middle number 8
8-6=2
CHECK: 15+8+6+2=31
i don't know if my answer is right haha
i checked online it says the answer is 5,6,8,12
Find the product. ( 5xy) ( 7xy)
Answer:
35x^2y^2
Step-by-step explanation:
just multiply and combine like terms
Please help. What is the answer?
Answer:
Choice number 3
Step-by-step explanation:
Because look at the length of 8 on one side and notice the other side is a little longer
solve the equation:
-1/2 (t+3) -10 = -6.5
22 POINTS!!!! PLEASE HELP DUE SOON!!!
What is the slope-intercept form of the function described by this table? x 1 2 3 4 y 1 −2 −5 −8 Enter your answer by filling in the boxes. y = x +
ill mark brainliest !!!!!
Answer:
y = -3
x + 4
Step-by-step explanation:
I just took this quiz and these are the correct answers.
Bailey , a Labrador retriever has a litter of 10 puppies. Four are black. At the rate how many puppies in a litter of 5 would be black.
Answer: 2
Step-by-step explanation:
Given
In a litter of 10 Puppies, 4 are black i.e.
[tex]\Rightarrow \dfrac{4}{10}\times 100=40\%\ \text{of puppies are black}[/tex]
In a litter of 5, there would be
[tex]\Rightarrow 5\times 40\%=5\times 0.4=2[/tex]
There are 2 black puppies
Which equation results from adding the equations in this system? 11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18.
Answer:
7x = - 35
Step-by-step explanation:
Equation 1 :
11x - 3y = - 17
Equation 2 :
-4x + 3y = - 18
Equation 1 + 2
11x - 3y = - 17
-4x + 3y = - 18
_____________
11x - 4x - 3y + 3y = - 17 + (-18)
7x = - 35
Mrs. Williams estimates that she will spend $65 on
school supplies. She actually spends $73. What is the
percent error? Round to the nearest tenth if
necessary.
Answer:
Estimates: $65
Actually: $73
65 / 73
= 0.9 (round to nearest tenth)
I hope this helps, I may be wrong. Somebody can correct me if I am wrong. :)
Linda bought 13 pounds of rice for $7.
How many dollars did she pay per pound of rice?
(round to the nearest hundredth)
Answer:
13pounds =$7
13/7pounds = $1
1.85pounds=$1
Step-by-step explanation:
diagram not drawn to scale
please helppp
Answer:
144?
Step-by-step explanation:
Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.
Answer:
A = -2
B = -8
Step-by-step explanation:
A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.
Then if we have the equations:
A*x- y = 8
2*x + y = B
We want to find A and B such that both equations are exactly the same thing.
Notice that in the first one we have negative y, while in the second we have positive y.
Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:
A = -2
And B needs to be minus the corresponding therm in the other equation, then B = -8.
Then the system becomes:
-2*x - y = 8
2*x + y = -8
We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:
y = -8 - 2*x
y = -8 - 2*x
So both equations are exactly the same thing, meaning that we have infinitely many solutions.
I need help finding u if it help x=6 that's all I know
Answer:
x = 6 y = 5
Step-by-step explanation:
X VALUE
3x+11 = 5x-1
12 = 2x
x= 6
Y VALUE
4y-1 = 19
4y = 20
y = 5
Answer:
5
Step-by-step explanation:
Please answer and don’t be a bot
Answer:
AAS
Step-by-step explanation:
The others are wrong
What is the total surface area of the figure below?
6 cm
7 cm
13.1 cm
359.1
0 275,1
400
317.1
Answer:
275.1 I'm so sorry if it is wrong dont come at me please
please help me with the question
Answer:
x = 12
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle.
Then the product of the external part of the secant and the entire secant is equal to the square of the measure of the tangent, that is
3x = 6² = 36 ( divide both sides by 3 )
x = 12
What is the best first step to solve the following quadratic equation?
16x2 + 38 = -40x
A
Add 40x to both sides.
B
Factor the right side.
C
Take the square root of both sides.
D
Multiply 16 by 38 and list the factors.
Answer:
a
Step-by-step explanation:
A which is add 40x to both sides wich is A
Choose all the expressions that are equivalent to 587 = 1,000.
B. 587 x 0.01
A. 5.87 : 100
D. 58.7 x 0.01
C. 5.87 x 0.1
E. 587 x 0.001
Answer:CED
Step-by-step explanation:
Answer:
C, E, and D
Step-by-step explanation:
Consider the following data set: {4, 5, 6, 7, 10}. If you remove one of the numbers from the list, then the mean increases and the median doesn’t change. Which number is it?
Answer:
6
Step-by-step explanation:
Right now, the mean is 6.4 and the median is 6. If you take away 6, the mean would be 6.5 and the median will stay the same. The median will stay the same because when there is no middle number, you add the two closest numbers and divide by two.
Hope it helped:)
Which of the following is the reciprocal of 1/5 ?
answers
5
1/5 5/5 1
Answer:
5
Step-by-step explanation:
A reciprocal is the inverse of a fraction.
To find it just flip the numerator and denominator.
1/5 becomes 5/1, or 5.
The calculated reciprocal of the number 1/5 is 5
How to determine the reciprocal of the numberFrom the question, we have the following parameters that can be used in our computation:
Number = 1/5
By definition, the reciprocal of a number x is represebted as
reciprocal = 1/x
In this case,
x = 1/5
Substitute the known values in the above equation, so, we have the following representation
reciprocal = 1/(1/5)
Evaluate
reciprocal = 5
Hence, the reciprocal is 5
Read more about expression at
https://brainly.com/question/30492964
#SPJ6
Two angles are complementary. The larger one is 3 times the measure of the
smaller one. What is the measure of the smaller angle in degrees?
Type just the numerical value.
Answer: 22.5°
Step-by-step explanation:
Complementary angles are the angles that when we add them together, they're equal to 90°.
Let the smaller angle be represented by x.
Then, the larger one will be 3 × x = 3x
We then add both angles together and equate them to 90°. Therefore,
x + 3x = 90°
4x = 90°
x = 90/4
x = 22.5°
The smaller angle is 22.5°
the price of one gallon of gas was $2.59 in 2007. the average price of one gallon of gas this month is $3.69. what is the percent of change?
Answer:
42.471% increase
Step-by-step explanation:
how to slove
y=15x+12
Answer:
0
Step-by-step explanation:
Martha was making apple tarts. She added 1/2 cup of sugar in the beginning. Later, she added another 1/4 cup of sugar. Martha estimated that she added about 1/6 cup of sugar in all. Is Martha's estimate reasonable?
Answer: her answer is NOT reasonable because 1/2 is bigger that 1/6. The real addition to 1/2 and 1/4 is 3/4.
Step-by-step explanation:
1/2 is 2/4 and 1/4 stays the same because it is the common denominator
Add them and you get 3/4
find the area of the parallelogram
Answer:
multiply the base by the height
Step-by-step explanation:
23x13
Answer:
299 feet
Step-by-step explanation:
Okay so the cut off triangle you can move to the right side to make it a perfect rectangle. Find tha area.
13 x 23 = 299 feet
Please help!!!!!
I will mark you brainliest for the correct answer.
I click a answer choice by accident
Answer:
How much brain we talkin?
Step-by-step explanation:
???
Which expression shows the total area of 5 rooms, if the
sides of 3 rooms measure 17 feet each, and the sides of
2 rooms measure 15 feet each?
Answer:
3084 sq. ft
Step-by-step explanation:
for the first three rooms,
area= 6l² = 6× 17² = 1734
for the next two rooms,
area= 6l² = 6×15² = 1350
total area = 3084
At a middle school, 40% of seventh graders have taken
swimming lessons. If there are 250 studnets in the
seventh grade, how many of them have taken swimming
lessons?
Answer:
100
Step-by-step explanation:
y = % · x
y = 40% · 250
y = 0.40 · 250
y = 100
4. Find the area of this figure.
15 ft
10 ft
10 ft
5 ft
5 ft
5 ft
5 ft
5 ft
Answer:
I believe it is 100 ft
Step-by-step explanation:
can someone find the area for this shape in please quick
Answer:
im pretty sure the answer would be 40m
Step-by-step explanation:
Answer:
Area: 40m²
Step-by-step explanation:
The first thing we need to do in order to solve this problem is split the shape into three different rectangles. We are going to have one rectangle that is 3 m by 7 m, one that's 4 by 4, and one that is 3 by 1. We are now going to find the area of each one individually.
To find the area of a rectangle, you multiply the length by the width. So, for the first rectangle, you would multiply 7 and 3. This equals 21, so that is the area of the first rectangle. Repeat this for the other two rectangles, then add all the areas together and you will get the total area of this shape.
Remember, when you are finding the area of an object, you must always put the label and a squared sign next to the number!
7×3=21
4×4=16
3×1=3
21+16+3=40
Area = 40m²
I hope this is fairly easy to understand. Please let me know if you need any more help. Good luck and have a great morning!