Answer:
About 316,955 people
Step-by-step explanation:
The population of this city can be modeled with the formula [tex]P=I\cdot(1.05^t)[/tex], where P represents the current population, I represents the initial population, and t represents the amount of time in years since the start of the model. Plugging in 145,201 for I and (2037-2021)=16 for t, we get:
[tex]P=145201\cdot(1.05)^{16}\approx145201\cdot2.18\approx 316955[/tex]
Initial population=145,201
Total years=2037-2001=36
[tex]\\ \sf\longmapsto S=P\left(1+\dfrac{r}{100}\right)^t[/tex]
[tex]\\ \sf\longmapsto S=145201\left(1+\dfrac{5}{100}\right)^{36}[/tex]
[tex]\\ \sf\longmapsto S=145201\left(\dfrac{105}{100}\right)^{36}[/tex]
[tex]\\ \sf\longmapsto S=145201(1.05)^{16}[/tex]
[tex]\\ \sf\longmapsto S=145201(2.18)[/tex]
[tex]\\ \sf\longmapsto S\approx 316955[/tex]
Done
Which graph represents the solution to 5 +8x <3(2x + 4)?
A:
-10-9-8 -7 -6 -5 4 -3 -2 -1 0
1
2
3
4
5
6 7 8
9 10
B:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
3
4 5 6 7 8 9 10
C:
-10 -9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
D:
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
A
B
D
Answer:
Option D
Step-by-step explanation:
Given the inequality statement: 5 + 8x < 3(2x + 4):
We must solve for the solution of the given inequality statement.
First, distribute 3 into the parenthesis:
5 + 8x < 3(2x + 4)
5 + 8x < 6x + 12
Next, subtract 6x from both sides:
5 + 8x - 6x < 6x - 6x + 12
5 + 2x < 12
Then, subtract 5 from both sides:
5 - 5 + 2x < 12 - 5
2x < 7
Divide both sides by 2 to solve for x:
[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]
[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]
Since [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint. This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).
Therefore, the correct answer is Option D.
what is the total area of the figure below if each unit represents 5 yards?
1. find measure of A
2. find measure of B
3. find measure of C
4. find measure of D
solve and give explanations and pictures pls
Answer:
A.25×5×8=960
B.15×7×14=1610
C.5x39×8=1290
D.12×20×4=1124
Step-by-step explanation:
yan po hirap
Whats the answer of this equation, Simplify the expression
3(x + y) + 5x + y
Answer:
8x + 4y
Step-by-step explanation:
3(x + y) + 5x + y
3x + 3y + 5x + y....... distribute 3 to both variables in the parenthesis
8x + 4y....................... combine like terms
Answer
8x+4y
Step-by-step explanation:
First you expand the 3(x+y) by multiplying 3 with x+y
So it becomes 3x+3y
Now your new expression will be 3x+3y+5x+y
After that, you combine the like terms, 3x and 5x are like terms, 3y and y are like terms.
So it will become 3x+5x+3y+y
You can add the like terms up, so 3x+5x=8x and 3y+y =4y
The simplified expression will be 8x+4y
Look at the image and please help out! I need an answer.
Answer:
4b<30
Step-by-step explanation:
product means multiply so 4•b or 4b
less than so<
Step-by-step explanation:
addition means the sum of 2 numbers
so.....b+4 <30
b <30-4
B <26
John has $75 in his savings account. every week he deposits $7. which table represents the amount of money john has in his savings account after 5 weeks.
Answer: C
Step-by-step explanation: Depositing is the act of putting money inside the bank account usually to gain interest.
If John started with $75, you add his deposit ($7) which comes out to 82. Then add 82+7 which equals 89 and so on.
75+7= 82
82+7= 89
89+7= 96
96+7= 103
Answer: is the C
Step-by-step explanation:
bank account: 75$
1st week:75
2nd week:82
3rd week:89
4th week:96
5th week:103
Solve the equation for the given variable
1/2 +y= 2/3
A) y=1/6
B) y=1/3
C) y=1/3
D) y=1 1/6
Answer:
y= (2/3)-(1/2)
= (4-3)/6
= 1/6
=> A
Step-by-step explanation:
A card is drawn from a deck of 52 playing cards. Given that it is a black card, what is the probability that it is the following? (Enter your probabilities as fractions.)
(a) a club
(b) a jack
Does anyone know this?
Answer:
all squares are quadrilaterala
Step-by-step explanation:
it has 4 sides and I just remember.
Answer:
All squares are quadrilaterals.
Step-by-step explanation:
Squares are defined as quadrilaterals with four right angles and four congruent sides.
Restaurant industry food and drink sales y (in billions of dollars) in a certain country from 2008 through 2017 can be approximated by the equation y= 3x² + 3.2x + 514,
where x is the number of years since 2008. Assume that this trend continues and predict the year in which the restaurant industry food and drink sales will be $1212
billion.
The year in which the restaurant industry food and drink sales will be $1212 billion is
(Round to the nearest whole number as needed.)
The given quadratic function for the restaurant sales indicates that the sale first reduces then increases.
The year at which the restaurant sale will be $1212 billion is approximately the year 2023.Reasons:
The function for the sales in the restaurant is y = 3·x² + 3.2·x + 514
Where;
y = Sales in billions of dollars
x = Number of years since 2008
Required:
The year in which the restaurant industry food and drink sales will be $1212 billion.
Solution:
When the food and drink sale is $1212 billion, we have;
1212 = 3·x² + 3.2·x + 514
Which gives;
3·x² + 3.2·x + 514 - 1212 = 0
3·x² + 3.2·x - 698 = 0
Factorizing with a graphing calculator gives;
(x + 15.796)·(x - 14.729) = 0
x = -15.796, or x = 14.729
The time will have a natural number value, therefore the positive value of x
= 14.729 is used.
Therefore, the number years since 2008 at which the restaurant sales will
be $1212 billion is approximately 15 years.
The year at which the sales will be $1212 billion = 2008 + 15 = 2023
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Which graph represents the equation y = 3/4x – 3 ?
Answer:
You haven't shown the graph image but here is what the graph looks like if the equation is y=3/4x -3
Step-by-step explanation:
Answer:
0.75x-3
Step-by-step explanation:
1.8.3 practice - functions
15. State the domain and range of each of the following functions
[tex]f(x) = \frac{1}{x + 3} [/tex]
[tex]g(x) = \sqrt{x + 6} [/tex]
[tex]h(x) = x {}^{2} + 2x + 5[/tex]
Answer its 5982
Step-by-step explana
Solve for m. 3/5m>−30
m>−50
m<−50
m>−18
m<−18
Step-by-step explanation:
you need to be careful when writing/copying the text.
I assume this one here is actually
(3/5)m > -30
then
3m > -150
m > -50
Answer: m > -50
Step-by-step explanation: Got correct on test
Budgets
Terrance budgets $435 of his salary for car expenses. His salary is $2,900. What percent of his salary is
budgeted for car expenses?
Answer:
15%
Step-by-step explanation:
One angle of a triange is 19 degrees, a second angle is 98 degrees. What is the measurement of the third angle?
Answer:
63°
Step-by-step explanation:
Angle sum property = 180°
=> 19 + 98 + x = 180
=> x = 180 - 117 = 63°
Answer:
63°Step-by-step explanation:
Given,
Measurement of one angle of a triangle = 19°
Measurement of 2nd angle of the triangle = 98°
Let,
The third angle be = x
As we know,
Sum of all the angles of a triangle is 180°
Therefore,
By the problem,
=> 19° + 98° + x = 180°
(On shifting like terms to one side )=> x = 180 - 98 - 19
(On subtracting)=> x = 63
Hence,
The measurement of 5he third angle of the triangle is 63° (Ans)
Antonio buys a television worth $700 at a rent-to-own business. Because he doesn't have $700 on the day of purchase, he will pay $100 per
month for 12 months and will be able to take the television home immediately. How much will Antonio end up spending on the television after
his 12 payments?
OA. $100
OB. $500
OC. $700
OD. $1200
Answer:
$1200
Step-by-step explanation:
Since he's paying $100 on a 12 month plan, you do
100 * 12 = 1200
In total he's paying $1,200.
Answer: 1200
Step-by-step explanation: Hope this helps :)
Can’t figure this out need help
Answer:
d
Step-by-step explanation:
range means y values so automatically a and b aren't right
there's no limits for y since it's linear, so it's D
that R sign basically means "all real numbers"
what is 1/5 divided by 69
Answer:
1/345 or 0.00289855 (for 1/5 / 69)
I feel like you're most likely talking about 69 / 1/5 which is 345
Try looking at the problem you are doing again :)
Answer:
0.00289855072
Step-by-step explanation:
1÷5 = 0.2
0.2 ÷ 69 = 0.00289855072
Rock Middle School is planning a field trip to a museum. The museum specifies that there needs to be one chaperone for every 4 students. If the maximum number of people allowed on the field trip is 700, what is the maximum number of students able to visit the museum?
Answer:
28000
Step-by-step explanation:
You multiply 4 and 700.
Answer:
525 students
Step-by-step explanation:
There will be 175 chaperones on the trip.
All you need to do is find 1/4 of 700 which is the number of chaperones.
Then subtract it by 700 to find the number of students.
I hope this helps!!
To make fuel for the main engines of a space shuttle, 102,619.377 kilograms of liquid hydrogen and 616,496.4409 kilograms of liquid oxygen are mixed together in the external tank. How much fuel is
stored in the external tank?
There are kilograms of fuel stored in the external tank.
Answer:
There are 719,115.8179kg of fuel stored in the external tank
Step-by-step explanation:
102619.377 + 616496.4409 = 719,115.8179
rewrite the equation in Ax+By=C form, use intergers for A, B, and C.
Answer:
2x - y = - 8
Step-by-step explanation:
y - 4 = 2(x + 2) ← distribute
y - 4 = 2x + 4 ( subtract y from both sides )
- 4 = 2x - y + 4 ( subtract 4 from both sides )
- 8 = 2x - y , that is
2x - y = - 8 ← in standard form
with A = 2, B = - 1 and C = - 8
Matt weighed 60 pounds when he was 8 .
He now weighs 80 pounds.
Find the percent of increase in weight rounded to the nearest tenth
Answer:
Step-by-step explanation:
Old weight = 60 pound
New weight = 80 pound
Finding:
Percent of increase in weight
Therefore:
Percent of expansion in weight = [(New weight - old weight)/Old weight]100
Percent of expansion in weight = [(80 - 60)/60]100
Percent of expansion in weight = [(20)/60]100
Percent of expansion in weight = 33.33% Approx.
If X, then not Y. If not Y, then Z. Y is true. So:
Answer:
Z and X is incorrect
An online game site has two memership plans. The first plan gives you unlimited play for $40 a month. The second plan charges a monthly access fee of $4.25 plus $2.75 for each hour you play. After how many hours do the two plans cost the same?
Answer:
after 13 hours
Step-by-step explanation:
Since the monthly fee is $4.25
so
● $4.25 + ( 2.75 × Number of hours) = 40
● ( 2.75 × Number of hours) = $40 - $4.25
● 35.75/ 2.75 = 13
Mrs. Cho has 24 students in her class. Some of her students are also in the play.
Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.
914 1404 393
Answer:
24% of 24 is not a whole number
Step-by-step explanation:
24% of Mrs. Cho's students is ...
0.24 × 24 = 5.76 . . . students
This is not a whole number. The number of students must be a whole number. There cannot be part of a student in the play.
Please help ASAP, probability math question
Answer:
Step-by-step explanation:
For the first throw the probability that it does not land on four should be .35 not .25
On the top for the second throw the probabilities should be swapped (so land on 4= .65 and not land on four =.35)
Mr. and Mrs. Ramirez both have jobs for which 22% of their earnings are taken out of their paychecks for taxes. How much would they need to earn together per month before taxes to have enough income to cover all the expenses in their budget?
Answer:
ñ
Step-by-step explanation:
ñ
Lucy bakes 135 gingerbread cookies and sells them in boxes of 6
how many full boxes will she have ?
how many cookies will she have left over ?
Answer:
22 boxes
5 cookies left
Step-by-step explanation:
135 / 6 = 22.5
Lucy will have 3 cookies left over that won't fit into any full boxes. To find how many full boxes Lucy will have, we can divide the total number of cookies (135) by the number of cookies in each box (6).
Number of full boxes = Total number of cookies / Number of cookies in each box
Number of full boxes = 135 cookies / 6 cookies per box
Number of full boxes = 22.5
Since Lucy cannot have a fraction of a box, she will have 22 full boxes of gingerbread cookies.
To find how many cookies she will have left over, we can find the remainder after dividing the total number of cookies by the number of cookies in each box.
Number of cookies left over = Total number of cookies % Number of cookies in each box
Number of cookies left over = 135 cookies % 6 cookies per box
Number of cookies left over = 3
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I need help because all the answer choices my teacher put were wrong so I dont know what to do
Answer:
Equivalent Expression: [tex]\displaytext\mathsf{\frac{a^7}{b^8}}[/tex]
Step-by-step explanation:
Given the exponential expression, [tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}}[/tex]:
We could use the Quotient Rule of Exponents where it states that:
[tex]\displaystyle\mathsf{\frac{a^m}{a^n}\:=\:a^{(m\:-\:n)}}[/tex]
Since we have the variables, a and b as the base, we could simply apply the Quotient Rule and subtract their exponents.
[tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}\:=\:a^{(12\:-\:5)}\:b^{(-3\:-\:5)}}[/tex]
[tex]\displaytext\mathsf{=\:a^{7}\:b^{-8}}[/tex]
Next, we must transform the negative exponent of base, b, into positive by applying the Negative Exponent Rule, where it states that:
[tex]\large\text{$ a^{-n}\:=\:\frac{1}{a^{n}} $}[/tex]
Applying the Negative Exponent Rule will result in the following exponential expression:
[tex]\LARGE\text{$ a^{7}\:b^{-8}\:=\:[a^{7}\:\times\:\frac{1}{b^8}]\:=\:\frac{a^7}{b^8} $}[/tex]
Therefore, the equivalent expression is: [tex]\LARGE\text{$ \frac{a^7}{b^8} $}[/tex].
Which of the followi g is equal to (9×1)+(5×1/10)+(1×1/100)?
Answer:
9.51
Step-by-step explanation:
9 x 1 is equal to 9
5 x 1/10 is equal to 5/10 which is also 0.5
1 x 1/100 is equal to 1/100 which is also 0.01
