Answer:
S(n) = 12,000(–0.05)n
Step-by-step explanation:
The function that represents the number of students, S, in the school district after n years is [tex]S=12000(0.95)^n[/tex]
Original population , P = 12000
Rate of decline, r = 5%
r = 5/100
r = 0.05
The number of years = n
The population of students after n years will be given by the formula:
[tex]S =P(1-r)^n[/tex]
Substitute r = 0.05 and P = 12000 into the formula above
[tex]S=12000(1-0.05)^n\\\\S=12000(0.95)^n[/tex]
The function that represents the number of students, S, in the school district after n years is [tex]S=12000(0.95)^n[/tex]
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What is the domain of the function?
X+6
f(x)=(x-7)(x+5)
A all real numbers except 7
Ball real numbers except 5 and -7
Call real numbers except -5 and 7
D all real numbers
The required domain of the function is all real numbers except -5 and 7. Option C is correct.
Given that,
f(x) = (x + 6) /[(x-7)(x+5)]
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
Given function,
f(x) = (x + 6) /[(x-7)(x+5)]
We can put any real number on the number line except 7 and -5, because at these value function gives the value as infinity.
Thus, the required domain of the function is all real numbers except -5 and 7. Option C is correct.
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Diego has some money in his bank account before he starts a summer job. He deposits
the money from the summer job in his bank account and doesn't spend any of it. After
working 3 hours, he has $71 in the account. After working 12 hours, he has $134 in the
account.
How much money does Diego earn per hour?
Who got the answer because I need it bad
Answer:
he earns $7 per hour
Step-by-step explanation:
Fill in the table of values for the function (fx)=3(2)^x
Step-by-step explanation:
-2 = 0.75
-1 = 1.5
0 = 3
1 = 6
2 = 12
please please please help me
Answer:
okok
Step-by-step explanation:
\3+4=123+4−4=12−4
Need help with this!
Answer: x= 10
Step-by-step explanation:
Same side exterior angles sum to 180.
Using this axiom we can say that
142+ (3x+8) = 180
Add like terms on the left side
150+ 3x = 180
Subtract 150 from both sides
3x = 30
Divide both sides by 3
X= 10
find ratio of := 900 cm to 12cm
ovhovientos ochenta y siete
Use a product of two binomials to find a polynomial that represents the area of Roberto's plot.
Answer:
First, we know that the area of a rectangle of width W and length L is:
A = W*L
In the case of Roberto's plan, we can see that the length of the whole rectangle is:
L = 1.5ft + x + 1.5ft = 3 ft + x
And the width is:
W = 3ft + x + 3ft = 6ft + x
Then the area of the whole thing is:
A = (3ft + x)*(6ft + x)
This is what we wanted, a product of two polynomials that represents the area of Roberto's plot.
Now if we subtract the white square (is a square of sidelength x, then its area is A = x*x) we will get the area of the border;
The total area of Roberto's borders is:
Area of the border = (3ft + x)*(6ft + x) - x*x
= 3ft*6ft + 3ft*x + x*6ft + x^2 - x^2
= x*9ft + 18ft^2
whats 4 2/5 x 1 1/2 pls help
Answer:
33/5 or 66/10
Step-by-step explanation:
First convert 4 2/5 and 1 1/2 into a improper fraction.
4 2/5 = 22/5 ; 1 1/2 = 3/2
Then multiply
66/10
And simplify
33/5
Please can someone help me with these? I'll give brainliest
Answer:
first one is right then
45 9/10
31 3/5
99 9/10
3 47/50
6 1/4
12 27/50
10 1/10
Step-by-step explanation:
PLZ HELP ME
PLZ LEAVE EXPLANATION
--------------------------------------------------------------------------------------------------------------------------------
Express the number of months in the year that are only 4 letters as a fraction in the simplest form, decimal rounded to the nearest thousandth and whole percent.
Answer:
There are only 2 months out of the 12 that have 4 letters in their name so it would be represented as 2/12, the numerator representing those 2 months and the numerator representing the 12 months in 1 year. 2/12 in its simplest form would be 1/6 because if you use the big one to simplify 2/12 and divided it by 2/2 you get 1/6. 1/6 as a decimal is 0.16 wich is 16% as a percent.
Hope this helps :)
18.9 divided by 5 I need the answer I decimal form ASAP!!!!!!!!
Answer: 3.78
Step-by-step explanation:
2y-6+5y+9 * pls dont have much time i will give you branlts
Answer:
7y + 8 is the simplified answer
Hope this helps
the graph of y=(1/3)x-1
Answer:
Step-by-step explanation:
10 = - 1/4x +12
Answer pls
Answer: x = 8
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
10= -1/4x+12
move the 12 to the other side
10-12= -1/4x
-2= -1/4x
divide -1/4 by both sides
8=x
Which of the following is most likely the next step in the series?
Answer:
its either A, or B
Step-by-step explanation:
hehehhe
Answer:
B
Step-by-step explanation:
The numbers in each of the circle halves are all in the blue side therefore all numbers on the red side would be eliminated. Leaving you with the options of B or C.
Now the Blue side for every pair is facing each other. So C would be eliminated because the red side is facing the start of the second pair ( A.K.A the third circle)
Leaving us with B.
I apologies if this is wrong! But I hope I helped a little bit
If x= 5 and y = 2, work out the value of a) 3x + y
b) 2x2
c) (x - y)2
Answer:
17, 50, 9
Step-by-step explanation:
Hello
We already know the values of x and y, 5 and 2.
All we have to do to figure out a, b, and c, is to plug in those known values.
a) 3x + y
Let's plug in x and y as 5 and 2
3(5) + 2
15 + 2
17
b) 2x^2
2(5)^2
2(25)
50
c) (x - y)^2
(5 - 2)^2
3^2
9
Answer:
A) 3(5)+2= 17
B) 2(5)2= 50
C) (5-2)2= 9
Step-by-step explanation:
Is 1 3/23 a rational number
Answer:
Yes
Step-by-step explanation:
In mathematics rational means "ratio like." so a rational number is one that can be written as the ratio of two integers. 1 3/23 can be converted into 26/23, which is a ratio, therefore, 1 3/23 is a rational number.
Hope this helps!
$15,000 at 15% compounded annually for 5 years
A. $28,500.00
0
B. $30,170.36
C. $17.250.00
ОО
D. $26,250.45
Answer:
p=$15000
R=15%
t=5years
compound amount CI=?
Step-by-step explanation:
we have
CI=p(1+R/100)^t=$15000(1+15/100)^5=$15000×1/15^5=$30170.35The total amount of $15,000 at 15% compounded annually for 5 years will be $30,170.36 so option (B) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
The rate at which compound interest accrues depends on the frequency of compounding.
For instance, if you offer someone $500 at a rate of 10% annually, $500 will be considered your principal sum. After a year, the interest will be $50, making the principle amount $550. Moving forward, the interest will be $550 rather than $500.
Given
Principle amount = $15000
Rate of interest = 15%
The time period T = 5 years.
Compound interest formula
A = P [tex][ 1 + R/100 ]^{T}[/tex]
A = 15000 [tex][ 1 + 15/100 ]^{5}[/tex]
A = $30,170.36 hence, the total amount after 5 year will be $30,170.36.
For more information about compound interest
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A cone has volume 3. If the cone's radius is 1. what is its height?
2.87 units
The volume of a cone is found by using the formula, V = (1/3)(pi)(h)r^2
Substituting values:
3 = (1/3)(3.14)(h)(1)
2.87 = h
Please please help pleaseeeeee
also .. it wouldnt let me crop the photo ..
pleaseeeeee someone help i'm in tears
Answer:
the correct answer is 6
Step-by-step explanation:
only reasonable answer
30
Does the scatter plot show
a positive, negative, or no
relationship?
20
10
0
2
HELP I NEED IT ASAP
Answer:
That shows no relationship
Write the equation of a line with a slope of -7/2 passing through the point 2,-4
Answer:
y = -7/2x+3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -7/2 x+b
Substitute the point into the equation
-4 = -7/2(2) +b
-4 = -7+b
Solving for b
-4+7 = -7+b+7
3 = b
The equation is y = -7/2x+3
A therm is a unit of heat. The hogans paid $.38 per therm of natural gas. In September they paid $19.57 for natural gas. How many therms did they use
Answer:
51.5 thermes of gas were used
Suppose the band is raising money to help offset the cost of a trip. You
make $10 off of each box of oranges sold and $15 off of each box of
grapefruit sold. The band wants to raise at least $500.00. Write an
inequality to represent this situation.
Answer:
y-step explanation:
Answer:
10o + 15g ≥ 500
Step-by-step explanation:
Variables:
O = oranges
G = grapefruit
10 boxes of oranges (10o) and 15 boxes of grapefruit (15g) are being added together (10o + 15g). The band wants to raise AT LEAST (greater than or equal to ≥) $500.00.
Put that together, and it's:
10o + 15g ≥ 500
Read each question carefully and make sure you show w
1. Which statements are true about the line shown on the graph
graphi
Select all that apply.
A. The point (0, -3) is on the line.
107
B
6
B. The graph represents the equation 4x + 8y = -24
C. The point (-6, -6) is on the line.
D. The point (0, -4) is on the line.
4
2
10 8 8 4
20
2+
2
16 8 10
E. The point (-6, 0) is on the line.
4
F. The graph represents the equation-4x + 8y = 24.
6
8
10+
Answer:
The true statements are;
A. The point (0, -3) is on the line
C. The point (-6, -6) is a point on the line
Step-by-step explanation:
The question relates to the finding of the equation of a straight line graph
The x-intercept of the graph is (6, 0) and the graph passes through the point (2, -2)
Therefore, the slope of the graph is m = (-2 - 0)/(2 - 6) = 0.5
The equation of the graph in point and slope form is given as follows;
y - 0 = 0.5 × (x - 6)
∴ y = 0.5·x - 3
Therefore, the equation of the graph in slope and intercept form, y = m·x + c is also y = 0.5·x - 3
A. The y-intercept of the graph is (0, -3), therefore, the point (0, -3) is on the line
B. The equation of the graph, y = 0.5·x - 3, can be written as follows;
8·y = 8 ×0.5·x - 8 × 3 = 4·x - 24
∴ 8·y - 4·x = -24
C. When y = -6, 'x' is given as follows;
y = 0.5·x - 3
-6 = 0.5·x - 3
0.5·x = -6 + 3 = -3
x = -3/0.5 = -6
x = -6
Therefore, when y = -6, x = -6, and (-6, -6) is a point on the line
D. When x = 0, 'y', is given as follows;
y = 0.5·x - 3
When x = 0, y = 0.5 × (0) - 3 = -3
Therefore the point (0, -3) is on the line and the point (0, -4) is not on the line
E. The point (-6, 0) represent an x-intercept of a line graph, however the x-intercept on the given line is (6, 0) and when y = 0 on the line, x = 6
Therefore, the point (-6, 0) is not on the line
F. The equation of the graph is 8·y - 4·x = -24, therefore, - 4·x + 8·y = 24 does not represent the equation of the graph
(x+3)^2 = x^2-3(1-x)
please help will give brainliest
Answer:
Answer is c
Step-by-step explanation:
Madison wants to earn at least $90 at her sales job. She makes $40 per week plus $5 per sale. Which inequality would represent the number of sales Madison must make.
Answer:
1232342
Step-by-step explanation:
1233435
Ramon’s teacher wrote the following table on the board She then asked the class to write a rule for the nth term of the geometric sequence represented on the table,
using the format
an=a(r)^n-1
Select the values for a and r that Ramon should use in order to correctly write the rule for the nth term.
an= ___(___)^n-1
—> number choices -3, -1/3, 1/3, 3, 9, 27, 81.
the number choices go inside the blanks.
please only respond if you know the answer :)
Answer:
do you still need help with this?
Step-by-step explanation:
because I can help. just comment back to me