The size of the population increases when the growth rate is positive and
decreases for a negative growth rate.
The completed table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
Reasons:
The table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]
The population in growth rate is given by the following formula;
P = a·(1 + r)ˣ
Where;
a = The initial population in 2003 = 40.5 million
P = The population in 2029 = 20.9 million
x = The number of years = 2029 - 2003 = 26
Therefore;
20.9 = 40.5 × (1 + r)²⁹
[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]
[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]
The population growth rate is r ≈ -0.02255 = -2.255 %
The completed table is therefore;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
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Find the quotient of
4
5
and
9
10
Give your answer as a fraction in its simplest form.
Answer:
8/9
Step-by-step explanation:
4/5 ÷ 9/10
4/5 x 10/9
40/45 or 8/9
A division is a process of splitting a specific amount into equal parts.8/9 is the quotient for 4/5 ÷ 9/10.
What is Division?a division is a process of splitting a specific amount into equal parts.
While doing division process we have some important parts of division which are dividend, divisor, remainder and Quotient.
In the given problem 4/5 is he divisor and 9/10 is the divisor.
Four by five divided by nine by ten
4/5 ÷ 9/10
When two fractions are divided, the division turn to multiplication when the denominator fraction shifts to up.
4/5 x 10/9
Cross over the fraction with 5.
40/45
8/9
Hence 8/9 is the quotient for 4/5 ÷ 9/10.
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Simplify the following:
Answer:(5x+8)/[(x+4)(x-1)(x+3)]
Step-by-step explanation:
1. First factorize the quad expressions in the denomeneter of both fractions.
2. Then choose you arithmetic common denomeneter .
3. And the rest is child's play.
Find the slope of the line below.
Answer:
2/1
Step-by-step explanation:
factorize 21xy - 14xz - 28wx
Answer:
7x(3y - 2z - 4w)
Step-by-step explanation:
21xy - 14xz - 28wx ← factor out 7x from each term
= 7x(3y - 2z - 4w)
Answer:
7 x . (3y - 2z - 4w
Step-by-step explanation:
24 is 40% of what number? Use percent equation.
Answer:
24 is 40% of 60
Step-by-step explanation:
Solve each question with the quadratic formula
6a² + 10 = 0
I know the answer but I'm not to sure how imaginary roots work. I would really appreciate if someone could explain how imaginary roots work! :)
Answer:
[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]
[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]
Step-by-step explanation:
[tex]\sf 6a^2 + 10 = 0[/tex]
We'll solve this equation using The Quadratic Formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]
[tex]\sf 6a^2 + 10 = 0[/tex]
Substitute 6: a, 0: b, 10: c
[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]
→ Square 0
→ Multiply -4 * 6= -24
→ Multiply -24 * 10 = -240
[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]
→ Take the square root of -240:
→ Multiply 2 * 6= 12
Now, Separate solutions:
[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]
Now, Separate solutions:
First, solve the equation when ± is plus:
[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]
___
Now, solve it when ± is minus:
[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]
__________________________________________
[tex]\sf\longmapsto 6a^2+10=0[/tex]
a=6b=0c=10[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)
[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]
[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]
[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]
What is i?i stands for iota.
[tex]\sf\longmapsto i=\sqrt{-1}[/tex]
The angle measurements in the diagram are represented by the following expressions
Answer:
∠ B = 45°
Step-by-step explanation:
∠ A and ∠ Bare alternate exterior angles and are congruent , then
5x - 15 = 2x + 21 ( subtract 2x from both sides )
3x - 15 = 21 ( add 15 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Then
∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°
Solve this for 50 points
- BRAINLIEST answerer
Fill in the blank to make the two fractions equivalent.
3/7=blank/42
Answer:
18/42
Step-by-step explanation:
Find the common factor of the denominators i.e the common factor of 7 and 42. The answer is 6. Multiply the fraction with the smallest denominator by the common factor (3/7 ×6/6) answer is 18/42
Hope you understand
I need help with 12 and 14, will give Brainliest
Answer:
12. 12.8 is the answer without rounding, 13 is the answer with rounding
story: you buy 4 apples for 3.2 cents each, since you cannot pay in less than a cent, you must give the seller 13 cents for the 4 apples
14. 12/7 is the answer without rounding, with rounding its 1
you have 3 1/7 of an apple, and your friend wants you to split it into 1 5/6 pieces, but you can't, so your friend is nice and only takes less than his part
Step-by-step explanation:
I need with this please! It due tonight.
Answer:
x = 17
Step-by-step explanation:
1. First, we should know that all angles in any triangle add up to 180°.
This means that x + 17 + 6x + 10 + 4x - 34 = 1802. (Solving)
Step 1: Simplify both sides of the equation.
[tex](x+6x+4x)+(17+10-34)=180[/tex] [tex]11x -7 = 180[/tex]Step 2: Add 7 to both sides.
[tex]11x - 7 + 7 = 180 + 7[/tex] [tex]11x = 187[/tex]Step 3: Divide both sides by 11.
[tex]\frac{11x}{11} =\frac{187}{11}[/tex] [tex]x = 17[/tex]Step 4: Check if solution is correct.
[tex](17)+17+6(17)+10+4(17)-34=180[/tex] [tex]17 + 17 + 102 + 10 + 68 - 34 = 180[/tex] [tex]214 - 34 = 180[/tex] [tex]180 = 180[/tex]Therefore, x = 17.
Answer:
x=17
Reasoning:
The three interior angles of a triangle will always have a sum of 180°. Thus, you could make an algebraic equality with this information.
[tex]6x+x+4x+17+10-34=180[/tex]
[tex]11x-7=180[/tex]
[tex]11x=187[/tex]
[tex]\frac{11x}{11} =\frac{187}{11}[/tex]
[tex]x=17[/tex]
Work out the circumference of this circle.
Take it to be 3.142 and write down all the digits given by your calculator.
10 cm.
Answer:
62.84
Step-by-step explanation:
pie=3.142
c=pie * diameter
r=10cm
d=2r
d=2(10)=20cm
c=3.142 * 20
c=62.84
Step-by-step explanation:
Formula for the Circumference of a circle = 2πr
C = 2πr
C = (2 * 3.142) * 10
C = 6.284 * 10
C = 62.84cm
Can someone help? Will give brainly if correct!
Answer:
7.03, 6.75, 6.72, 6.08, 6.4
Step-by-step explanation:
levi finds a skateboard that sells 139.99. the store charges 6% sales tax about how much money will he have to spend for his skateboard?
The amount Levi spends on this skateboard is $148.39.
Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.
The amount Levi spends on this skateboard = value of the tax + cost of the skateboard
value of the tax = 6% x $139.99
0,06 x $139.99 = $8.40
The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39
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What would be the dimesions of the pool if the length is 15 feet longer then the width and they put up an 110 feet of fence around the pool
Help ASAP ill give Brainly
PlS HELP ME
NO BOTS PLS
Answer: Use Gauth Math. What is the topic about?
Step-by-step explanation:
A color printer prints 10 pages in 3 minutes.
How many minutes does it take per page?
Answer:
3.3 secs
Step-by-step explanation:
divide the pages by the minutes
Zane calculated the missing side length of one of these triangles using the pythagorean theorem. Which triangle is it? a b c d.
Answer:
d
Step-by-step explanation:
Four friends went to dinner. They each ordered a meal and decided to split the final bill evenly between them. They left a tip of $12. The final cost of the meal and tip was $74.00. what was the price each person paid for their meal before tip?
AGAIN BE SERIOUS THIS IS DUE TOMORROW
your grade varies directly with the time you study if you study for 40 minutes your grade is an 80 how long should you study to get a 95
Answer:
47.5 minutes
Step-by-step explanation:
40 min = 80
x min = 95
40/80 = x/95
3800 = 80x
x = 47.5
-Chetan K
¿Cuál es la probabilidad de que una mujer que ha sido vacunada en este lapso de cuatro
meses haya recibido su segunda dosis en octubre ?
Answer: buddy if you put it in English i can do it I’m a teacher
Step-by-step explanation:
What percentage of a dollar is the value of 1 nickel and 3 pennies?
Answer:
8%
Step-by-step explanation:
1 dollar is 100 cents. 1 nickel and 3 pennies is 5+3 = 8 cents. 8 cents would be 8/100 = 8% of 100.
1 nickel and 3 pennies is 5.000000681 percent of a dollar.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
We know 1 nickels which is equal to 5 cents = 0.05 dollars.
1 penny = 0.00000000227 dollars
∴ 3 pennies is = 0.00000000681.
∴ 1 nickel and 3 pennies = 0.05000000681.
∴ 1 nickel and 3 pennies is (0.05000000681/1)×100% of a dollar.
= 5.000000681% of a dollar.
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Help! Keep getting it wrong, I suck at this. Question is in the picture. Thank you! Please show your work!
Answer:
D.
Step-by-step explanation:
Interest is earn at a rate of 4.46%/ year, while this is after 3 years
=> interest earned in 3 years: 3($1700 x 4.46%) = $227.46
How much $1700 will worth after 3 years: $1700 + $227.46 = $1927.46
Aight, I'm heading to bed now. It's 0:10 here
write 400+5 in standerd form?
Answer:
405
Step-by-step explanation:
Answer:
405
Step-by-step explanation:
Graph the line that has a slope of 4 and includes the point (0,4)
Answer:
Step-by-step explanation:
it goes straight across 4 ( up and down)
Answer:
Step-by-step explanation:
Start with the standard form of an equation for a straight line:
y=mx+b,
where m is the slope and b is the y-intercept (the value of y when x = 0).
We are given the slope (4), so we have:
y = 4x + b
We can calculate b from the given point, (0,4). Just enter the values for x and y and solve for b. But in this case the given point already tells us the value of b since at x = 0, y = 4. So we can enter it directly.
------
For reference, if we went ahead and solved for b, this is what we'd get:
y = 4x + b
4 = 4*(0) + b
b = 4
-----
So the final equation of this line is y = 4x + 4
The graph is attached.
Write the number 0.000 000 7 in standard form.
Answer:
7 x 10^-7
Step-by-step explanation:
Help me out! Find the value of x angle theorems part 3 triangle
Answer:
x = 3
Step-by-step explanation:
The triangles are similar.
x + 9 is twice 2x.
x + 9 = 2(2x)
x + 9 = 4x
9 = 3x
x = 3
Need only #5 done (Show work) will give brainliest
The distance between K and M = 35 (from the question)
[tex]2x - 5 + 2x = 35[/tex] (Reason: All individual distances in a line i.e. [tex]KL[/tex] and [tex]LM[/tex] sum up to give the distance [tex]KM[/tex]).
Collecting like terms:
[tex]2x + 2x = 35 + 5[/tex], [tex]4x = 40[/tex] (Reason: All similar terms in an expression can be computed with one another i.e. added or subtracted).
Dividing by the variable's coefficient:
[tex]4x = 40[/tex], [tex]x = 10[/tex] (Reason: The coefficient is a similar factor to both terms in both sides, diving 40 by 4 gives you 10, hence the statement has been proven).
Step-by-step explanation:
Statement ReasonL is between K and M GivenKM = 35 GivenKL = 2x - 5, LM = 2x GivenKM = KL + LM Segment addition 35 = 2x - 5 + 2x Substitution 35 + 5 = 4x Addition property40 = 4x Simplification10 = x Division propertyx = 10 ProvedPls helpp
1: Find the slope:
m = (3 - 1) / (0 - (-4)) = 2 / 4 = 2
Hi I was wondering if someone can help me with the math problem?
Answer: 20:12 for the first one
Step-by-step explanation:
5:3, 20:12,
A bakery made 25 dozen cookies.They sold 48 of the cookies how many are left?
Answer:
I believe it is 252 correct me if I'm wrong
Answer:
252
Step-by-step explanation:
25 dozen is 300 cookies subtract 48 and get 252