Answers
Answer:
The country's population decreased about 5.8 % during this time period.
Step-by-step explanation:
Population in 1990 = 164 million
Population in 2010 = 155 million
Determine the percent decrease
The formula used is: [tex]Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100[/tex]
We have :
Initial Value = 164 million (164,000,000)
New Value = 155 million (155,000,000)
Finding percent decrease
[tex]Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100\\Percent\:Decrease=\frac{164,000,000-155,000,000}{155,000,000}\times 100\\Percent\:Decrease=\frac{9,000,000}{155,000,000}\times 100\\Percent\:Decrease=5.8\%[/tex]
So, The country's population decreased about 5.8 % during this time period.
Related Questions
A ladder leans against the side of a house. The angle of elevation of the ladder is 73°, and the top of the ladder is 14 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
Answers
Answer:
4.3 feets
Step-by-step explanation:
Given that:
Angle of elevation = 73°
Horizontal distance from foot of ladder to bottom of wall = x feets
Height of ladder = 14 feets
The horizontal distance, x :
Using trigonometry :
Tan θ = opposite / Adjacent
Tan θ = 14 / x
Tan 73 = 14 / x
3.2708526 * x = 14
x = 14 / 3.2708526
x = 4.2802295
x = 4.3 feets
Algebraic Expression Evaluate the expression 9x + 2 when × = 3
HELP ME
Answers
Answer:
The value of 9x+2 when x=3 is 29
Step-by-step explanation:
Algebraic Expressions
We are given the expression
9x + 2
And it's required to evaluate the expression when the value of x is 3.
It can be done by substituting x by 3:
9*3 + 2
=27 + 2
=29
The value of 9x+2 when x=3 is 29
HELP PLEASE The 30% discount on a $49 dollhouse
Answers
Answer:
$14.70
Step-by-step explanation:
$49 x .30 = $14.70
14 candy bars cost $5.20. How much would one cost? What is the unit rate?
Answers
Answer:
$0.37
Step-by-step explanation:
You can write this equation as, x=$5.20÷14.
This is because we know we are trying to find the x value for 1 candy bar. and 14 costs $5.20 in total. 14÷14=1. Therefore, we essentially divided the total sum among each individual candy bar. (example: if you wanted to find the value of 2 candy bars, you would take half of 14 and divide $5.20 by 7). $5.20÷14=$0.37 or 37 cents per candy bar.
Writing this as a rate is simple; it's $0.37/candy bar
What is 9.25% tax of $27.26?
Answers
Answer:
$29.78
Step-by-step explanation:
1. make the % into a decimal
9.25% = 0.0925
2. multiply amount by the decimal to get the tax amount
$27.26 × 0.095 = $2.52
3. take the original amount and add the tax to get your final total
$26.27 + $2.52 = $29.78
1.4(4.4x2.3) how do I distribute this
Answers
Answer:
14.168
Step-by-step explanation:
4.4 times 2.3= 10.12
1.4(10.12) = 14.168
Factor 49z + 28. Write your answer as a product with a whole number greater than 1.
Answers
Answer:
87z
Step-by-step explanation:
write a five digit number with an 8 that is 10 times the value of 8 in 48,324
Answers
Answer:
800000
Step-by-step explanation:
the 8 is 10,000, so 10 x 10,000 = 100,000
100,000 put an 8 anywhere
Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.
Answers
Slope m=(y2-y1)/(x2-x1)=(10-5)/(6-3)=5/3
5=5/3*3+b
b=0
Y=5/3x
Solve for x:
1 ½ - ( 5/6x + ⅓ ) = 8/9
Answers
Answer:
its x=1/3 :)))
The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.
Answers
Answer:
I don’t know but I have the same question with different numbers
Step-by-step explanation:
If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
coordinate points on the curve where x = -1 and the line tangent to the
curve is horizontal, or state that no such points exist.
Answers
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
Answers
Answer:
y=2x+0
Step-by-step explanation:
y=mx+b
y=(slope)x+(y-intercept)
y=2x+0
Answer:
y = 2x
Step-by-step explanation:
y = mx + b
m = slope
b = y intercept
y = 2x + 0
Therefore, the equation is y = 2x.
An employee was hired at a wage of $12 per hour. After a raise, she now earns $13.17 per hour.
Answers
Answer:
ok keep going more questions cause ido t get it what u trying to ask
−1/5(x−4)=−2 Please help me fast
Answers
Answer:
x=14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−1/5(x−4)=−2
(−1/5)(x)+(−1/5)(−4)=−2(Distribute)
−1/5x+4/5=−2
Step 2: Subtract 4/5 from both sides.
−1/5x+4/5−4/5=−2−4/5
−1/5x=−14/5
Step 3: Multiply both sides by 5/(-1).
(5/−1)*(−1/5x)=(5/−1)*(−14/5)
Plz help
Simplify 6(3x-5)+5(2x-1)
Answers
which fraction is equivalent to 70/100
Answers
Answer:
710
Step-by-step explanation:
pleaseeee helppppppppp meeeeee
Answers
Answer:
x = 10 yd
Explanation:
These triangles are based on proportions. 12 yd is proportional to 18 yd, and x yd to 15 yd. We want to find x. We'll use the rule of three to calculate the unknown number.
12/18 = x/15
x = (12 · 15)/18
x = 10 yd (10 yards from the hut to the gold coins)
find the measure of
Answers
Alan buys a book that is on sale.
He writes the expression 0.7b to show the percent of the original cost of the book, b, that he pays.
He rewrites the expression as b−0.3b.
Which statement explains why Alan rewrites the expression?
He receives another discount on the book.
He buys another book with a different discount.
He wants to show by what percent the book was discounted.
He wants to show what percent of the original price he paid.
Answers
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Based on this triangle, which one of the following statements is true? (Note: the triangle is not drawn to scale)
[PLEASE LEAVE A SMALL EXPLANATION ILL MARK BRAINLIEST]
Answers
Answer:
A
Step-by-step explanation:
All triangles angles add up to 180°
Factorise:
4x^2+4xy+y^2-2^2
Answers
Answer:
Step-by-step explanation:
4x^2 + 4xy + y^2 = (2x + y)^2
and if we assume that 2x + y = A and because 4 = 2^2
A^2 - 2^2 = (A-2)*(A+2) .
Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =
Answers
Answer: 3x=-24
9x is 3(3x)= 3(-24)
9x=-72
X=-8
Step-by-step explanation:
Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places.
f(x)=x^2+6x, where x goes from 5 to 7.
Answers
Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function [tex]f(x)[/tex] in an interval from a to b is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]f(x) = x^2 + 6x[/tex]
Where x goes from 5 to 7.
This means that [tex]b = 7, a = 5[/tex]. So
[tex]f(7) = 7^2 + 6(7) = 49 + 42 = 91[/tex]
[tex]f(5) = 5^2 + 6(5) = 25 + 30 = 55[/tex]
The rate of change is:
[tex]A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18[/tex]
The average rate of change of the function in this interval is of 18.
The rate of change of a function over a given interval is required.
The average rate of change is 18
Rate of changeThe given function is
[tex]f(x)=x^2+6x[/tex]
The interval is between [tex]x=5[/tex] to [tex]x=7[/tex]
Finding the corresponding [tex]y[/tex] values
[tex]y=5^2+6\times 5=55[/tex]
[tex]y=7^2+6\times 7=91[/tex]
The two points are
[tex](5,55),(7,91)[/tex]
The slope is
[tex]m=\dfrac{\Delta y}{\Delta x}\\\Rightarrow m=\dfrac{91-55}{7-5}\\\Rightarrow m=18[/tex]
Learn more about rate of change:
https://brainly.com/question/8728504
A band expects to put 12 songs on their next CD. The band writes and records 25% more songs than they expect to put on the CD. During the editing process, 80% of the songs are removed. How many songs will there be on the final CD?
Answers
Answer:
3 songs
Step-by-step explanation:
25% more songs: 12 x 1.25 = 15
80% removed: 15 x 0.2 = 3
(1) Colin wants to cut the pizza into 1/6 slices. Marco wants to cut the pizza into 1/4 slices. What is a common denominator of both fractions so that Marco and Colin can see both fourths and sixths in the pizza? What would the equivalent fractions be?
Answers
1/12
1/6 = 2/12
1/4 = 3/12
Step-by-step explanation:
V is the midpoint of GH. G has coordinates (5, -3), and V has coordinates (-1, 3). Identify the coordinates of H.
Answers
Answer:
(-7,9)
Step-by-step explanation:
What is [tex]12\sqrt1248[/tex]
Answers
Step-by-step explanation:
[tex] \sqrt[12]{1248} = 1.811414676[/tex]
The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.
Scale factor: 4:5
Surface area: 160
volume: 704
Surface area: ?
volume: ?
Answers
Answer:
Surface area: 250
Volume: 1375
Step-by-step explanation:
Scale factor: 4:5
This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So
[tex]S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250[/tex]
Volume:
The volume is found multiplying the cube of the change(5/4) by the original volume(704). So
[tex]S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375[/tex]
Find x and y HELP PLS ASAP
Answers
Step-by-step explanation:
A is the correct answer.