Answer:
27 years.
Step-by-step explanation:
2000->100%
?->3.5%
=70 people growth each year
3900-2000=1900[expected growth]
70-per year
1900-?
1900*1/70=27.1
=27.|1
27 years
It will take 9 years for the town's population to reach 3900.
What is an exponential function?"An exponential function is a function of form f (x) = a^(x), where a is the base."
Exponential growth function:f(x) = a×(1+r)^x
where,
f(x) = exponential growth function
a = initial amount
r = growth rate
x = number of time intervals
For given situation,
initial population: a = 2000,
growth rate r = 3.5/100
⇒ r = 0.035
f(x) = 3900
We need to find the nearest year to reach the population 3900.
i.e., to find value of x(years)
Using the exponential growth function,
⇒ 3900 = 2000(1 + 0.035)^x
⇒ 3900/2000 = (1.035)^x
⇒ 1.95 = (1,035)^x
⇒ [tex]x=log_{1.035} 1.95[/tex]
⇒ x = 19.41
⇒ x ≈ 19
Therefore, it will take 19 years to reach 3900.
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The answer to this question
Answer:
80
Step-by-step explanation:
It's a 180 angle
Car a travels 15 miles while car b travels 26 miles what is the ratio of car a to car b
Answer: 15:26
Step-by-step explanation:
Given: Car a travels 15 miles while car b travels 26 miles.
Now, the ratio of the distance traveled by car a to car b is given by :-
[tex]\dfrac{\text{15 miles}}{\text{26 miles}}=\dfrac{15}{26}[/tex] , which is the fraction in the simplest as highest common factor of 15 and 26 =1.
So, the the ratio of the distance traveled by car a to car b = 15:26
Hence, the ratio of car a to car b = 15:26
which one does not belong ?
1/20 _20/25 _2/3_ 5/4
And why is the answer correct?.
Answer:
2/3 because they have something to do with five
Step-by-step explanation:
can someone help me with this q6
Answer:
y=2X
Hope this helps!!!
Jackson Elementary School ordered 25 pizzas for an awards ceremony. At the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over. What is a reasonable estimate for the number of pizzas the students ate at the awards ceremony?
Answer: 9 pizzas
Step-by-step explanation:
From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.
A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:
= 25 - (8 1/4 + 7 3/4)
= 25 - 16
= 9 pizzas
8x+x(−2x+6)−7(−2x2+5x−6)
help me this
Answer: 12x2 -21x +42
Step-by-step explanation:
A company is re-evaluating the way they produce standard staple strips. Staples are individually cut from one piece of wire then bent and bonded to other staples before being put into boxes for distribution. The company currently uses 8-meter pieces of wire to create these staple strips; however, four other lengths are also available for use. Which is the shortest available wire that can be used to make a staple strip? A. 4-meter piece B. 5-meter piece C. 6-meter piece D. 7-meter piece
Answer:
Step-by-step explanation:
The given parameters are;
The length currently used to make staple strips by the company = 8-meter pieces
The process of making staples by the company = Cut, bending, and bonding
Therefore, given that the process of manufacturing staple strips are by cutting strips of wire, we have;
The wire most suitable for the manufacture of staple strips is a wire that is a factor of 8
Therefore, among the given options, the wire with length l = 4-meters which is the 8-meter length split into two, is the most suitable, because 4-meter = 8-meter/2, whereby 4 is seen as a factor 8 or 8 = 4 × 2, such that two 4-meter wire strips will make the same quantity of staple pins as one 8-meter strip.
Arya deposit $8000 in a 5 year cd at 2% interest compounded daily. What is aryas new balance at the time of maturity
Answer:
Step-by-step explanation:
Use the given functions to set up and simplify
2%.8000=a⋅(5yearcd)= 5ea2yrcd2%=0.02
Answer:
100
Step-by-step explanation:
a product of y2 + 5y + 4?
Answer:
(y + 4)(y + 1)
Step-by-step explanation:
Given
y² + 5y + 4
Consider the factors of the constant term (+ 4) which sum to give the coefficient of the y- term (+ 5)
The factors are + 4 and + 1 , since
4 × 1 = 4 and sum = 4 + 1 = 5 , thus
y² + 5y + 4 = (y + 4)(y + 1) ← as a product of factors
What is f(5) for the function f(x) = 6x + 1?
Answer:
31
Step-by-step explanation:
plug in 5 for x
6(5)+1
30+1
31
A function is a relation that gives one output for every single input thus the value of f(5) for the function will be 31.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given funciton,
f(x) = 6x + 1
At x = 5
f(5) = 6(5) + 1
f(5) = 30 + 1 = 31
Hence "A function is a relation that gives one output for every single input thus the value of f(5) for the function will be 31".
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12 pounds of apples for $13.80 so how many pounds of apples for $8.05
Answer:
7
Step-by-step explanation:
[tex]8.05 \times 12 = 96.6[/tex]
[tex]96.6 \div 13.80 = 7[/tex]
i think this is the answer
Answer:
the answer is 7 pounds of apples for $8.05
Step-by-step explanation:
you first divide $13.80/12= 1.15
then when you multiply 1.15x7 it will give you 8.05 as an answer.
What is the graph of the line 4x + 2y = 6?
Answer:
here you go, this is your answer
Steve is turning half of his backyard into a chicken pen. His backyard is a 242424 meter by 454545 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
Answer:
51 meters
Step-by-step explanation:
The shape of the backyard is rectangular having a length, l=45 meters, and a width, w=24 meters as shown in the figure.
As wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. So,
The length of fencing = The length of the diagonal AC or BD
As the length of both the diagonals of a rectangle are equals, AC=BD.
The length of fencing [tex]=\sqrt{l^2+w^2}[/tex] [length of the diagonal]
[tex]=\sqrt{45^2+24^2}=51[/tex] meters
Hence, Steve needs 51 meters of fencing.
solve the equation 3|3 - 5r|- 3 = 18
Answer:
r = 2
Step-by-step explanation:
3|3 - 5 * 2|- 3 = 18
3|3 - 10| - 3 = 18
3 * 7 - 3 = 18
21 - 3 = 18
18 = 18
(Since there are absolute value signs, the answer to |3 - 5r| will be positive)
Answer:
r=0.8
Step-by-step explanation:
3|3-5r|-3=18
9-15r -3=18
6-15r=18
15r=12
r=0.8
6. One of Mollie's favorite toys is a set of hollow rectangular plastic blocks that can be filled with water to use as bath toys. The red block has dimensions 4 1/4 inches by 6 1/4 inches by 5 1/4 inches. Which represents the volume of the red block? Select all that apply. a. 30 cubic inches b. 2,231 and 1/4 cubic inches c. 139 and 29/64 cubic inches d. 557 cubic inches e. (17/4) (25/4) (21/4) cubic inches f. 8,925/64 cubic inches
Answer:
Option c. is correct
Step-by-step explanation:
Given: The red rectangular block has dimensions [tex]4\frac{1}{4}[/tex] inches by [tex]6\frac{1}{4}[/tex] inches by [tex]5\frac{1}{4}[/tex] inches.
To find: volume of the red block
Solution:
Volume of the rectangular box = length × breadth × height
First convert [tex]4\frac{1}{4}[/tex], [tex]6\frac{1}{4}[/tex] and [tex]5\frac{1}{4}[/tex] inches into improper fractions.
[tex]4\frac{1}{4}=\frac{17}{4} \\6\frac{1}{4}=\frac{25}{4} \\5\frac{1}{4} =\frac{21}{4}[/tex]
So,
Volume of the rectangular box [tex]=4\frac{1}{4} (6\frac{1}{4})(5\frac{1}{4} )=\frac{17}{4}(\frac{25}{4})(\frac{21}{4} )=\frac{8925}{64}=139\frac{29}{64}[/tex] cubic inches
if bobby was born in 05 how old would he be
Answer:
the answer is 15
Step-by-step explanation:
You are designing a hike that starts at the top of the canyon, above sea level. You plan to stop at three locations: •a scenic landmark, which is at sea level •famous boulder, which is below sea level •the bottom of the canyon, which is 600 feet below sea level
Answer:
Hello your question is incomplete attached below is the complete question and solution as well as the detailed solution
Step-by-step explanation:
The total change in elevation as represented in the number line is
600 - 600 = 0 ( sea level )
below sea level = 0 - 200 = -200 (where the famous boulder is located)
-200 -400 = - 600 feet ( bottom of canyon)
8 different type of numbers?
Answer:
Disclaimer: You can disregard some if not wanted information.
1. decimal's
2. Exponent's
3. Variable's (still counts)
4. rational number's
5. Irrational Number's
6. Repeating Decimal's
7.Terminating decimal's
8.Integer's
One Honorable Mention:
Fraction's
Step-by-step explanation:
Answer:
rational numbers: 1/2, 5/8
irrational number: ie. pi, numbers under a root symbol
whole numbers: 0, 1, 2, 3...
real numbers: ie. 4, 1/2, -0.5
integers: ie. ...-3, -2, -1, 0, 1, 2, 3...
natural numbers: ie. 1, 2, 3, 4...
counting numbers
decimal numbers: ie. 0.2, 2.4
4y+2x+30 if x=2and y=5
Answer:
54
Step-by-step explanation:
First let's replace the values x and y.
4y + 2x + 30 will become (4 * 5) + (2 * 2) + 30
Then we do order of operations.
(4 * 5) is 20..
20 + (2 * 2) + 30
Then we do (2 * 2) which is just four.
20 + 4 + 30
Lastly we add it all up.
24 + 30 = 54
I hope this helps, I hope it's not wrong, but I don't think it is.
What is -2x-4y=36 written in slope-intercept form?
Question 3 options:
y=12x+9
y=−12x+9
y=−2x−9
y=−12x−9
I will give a brainliest
which is the best series on netflix ?
stranger things A jewellery shop is having a sale.
A bracelet is reduced to £240.
a) What is the original price?
A ring is reduced to £840.
This is 40% of the original price.
b) Work out the original price of this ring.A jewellery shop is having a sale.
A bracelet is reduced to £240.
a) What is the original price?
% of the original price.
b) Work out the original price of this ring.A jewellery shop is having a sale.
A bracelet is reduced to £240.
a) What is the original price?
A ring is reduced to £840.
This is 40% of the original price.
b) Work out the original price of this ring.A jewellery shop is having a sale.
A brace
A ring is reduced to £840.
This is 40% of the original price.
b) Work out the original price of this ring. yeey this is important
Answer:
on my block
Step-by-step explanation:
i really love it so you probably will too:)
help plz ive been stuck on this for a while now
Answer:1.20/5
Step-by-step explanation:
Answer:
9/10 or in decimal form 0.9
Step-by-step explanation:
The perimeter of triangle ABC is 138 cm and BC || DE. Is triangle ABC = triangle ADE? Which conjecture supports your conclusion?
please help me it’s due in 30 minutes!!
Answer
yes triangle ABC is equal to triangle ADE
Step-by-step explanation:
x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal
We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE ≅ CB.
Given, (x + 4) + x + (x - 4) = 138.
3x = 138.
x = 46.
Now, BC = ED = (46 - 4) = 42 cm.
Assuming DA to be y.
∴ 46 + 42 + y = 138.
y = 50
And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.
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Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consisting of two different dishes on the menu. How many different mix-and-match plates can you get consisting of two savory dishes?
Answer:
45
Step-by-step explanation:
Given that the number of savory dishes is 9 and the number of sweet dished is 5.
Denoting all the 9 savory dishes by [tex]p_1, p_2,...,p_9[/tex], and all the sweet dishes by [tex]q_1,q_2,...,q_5[/tex].
The possible different mix-and-match plates consisting of two savory dishes are as follows:
There are 9 plates with [tex]q_1[/tex] from sweet plates which are [tex](q_1, p_1), (q_1, p_2), ..., (q_1,p_9).[/tex]
There are 9 plates with [tex]q_2[/tex] from sweet plates which are [tex](q_2, p_1), (q_2, p_2), ..., (q_2,p_9).[/tex]
Similarly, there are 9 plated for each [tex]q_3, q_4[/tex] and [tex]q_5.[/tex]
Hence, the total number of the different mix-and-match plates consisting of two savory dishes
[tex]= 9+9+9+9+9= 9\times5=45[/tex]
Answer:
45
Step-by-step explanation:
each savory dish gets one sweet dish therefore 9*5=45
if you move point toward point B along BC how does m_ABC change? How do mZBAC and mZACB change? What happens to these
angles if you move point C away from point B along BC?
Answer:
i think its abc stays same, bac gets smaller, and acb gets bigger
for the second part, abc same, bac bigger, acb smaller
Step-by-step explanation:
if you picture the triangle in your head that probably would help
If we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase. Similarly, If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
What is an angle?Angle is formed by two lines or rays which have a common endpoint. Angle has two sides.
Here Given in the question that Point C is movable and it moves towards point B.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ABC the side BC length will decrease but the gap between AB and BC will remain the same. Therefore ∠ABC will remain the same.
If we change the position of C nearer to point B keeping point B and A fixed in angle ∠BAC, point C will get closer to point B for which the gap between AB and AC will decrease. Therefore the measurement of ∠BAC will decrease.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ACB, point C will get far from point A as point A is fixed for which the gap between AC and CB will increase. Therefore the measurement of ∠ACB will increase.
Therefore if we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase.
If we take point C far from point B, then the thing will be reversed except ∠ABC.
Therefore If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
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How do I solve both of the scenarios
Answer:
Scenario 1/129 veggie rolls/Scenario 2/59 Shrimpy BOis
Step-by-step explanation:
1/
129x .75 = 96.75=97
.95 x 56 = 53.2=53
2/
59 x .95 = 56.05=56
.75 x 38 = 28.5=28
PLZ HELP its a test re rake i really need to get it right or im gonna fail
Answer:
D
Step-by-step explanation:
if it was written in scientific notation, it would be 5*10^1
There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation
Cinco menos tres cuartos x ?
Answer:
4.25
Step-by-step explanation:
5-3/4=4.25
sry if im wrong hope this helps
brainliest? please?
4a-{3b+2c} BIG POINT IF ANSWERED FAST AND RIGHT
Answer:
=4a−3b+2c
Step-by-step explanation:
There's not enough information to solve. Comment and I'll reply with an answer
Which input in this table is incorrect?
Answer:
I would say its D. 9.00
Step-by-step explanation: