9514 1404 393
Answer:
[tex]P_1=11.7\\P_2=15.21\\P_n=9\cdot1.3^n\\P_{10}\approx124.07[/tex]
Step-by-step explanation:
An exponential function can be written in the form ...
y = a·b^x
where x is the independent variable, b is the common ratio, and 'a' is the initial value (when x=0). The "common ratio" is the ratio of each term to the one before. For example, b = P₁/P₀.
Here, you are told the initial value (P₀) is a=9, and the common ratio is b=1.3. The independent variable is given as n, so your population formula is ...
P(n) = 9·1.3^n
__
You are asked for values when n = 1, 2, and 10. Since you know the common ratio, you can simply multiply P₀ by 1.3 to get P₁:
P₁ = 1.3·P₀ = 1.3·9 = 11.7
Similarly, ...
P₂ = 1.3·P₁ = 1.3·11.7 = 15.21
__
You could continue up to P₁₀, but it is easier to use a calculator to evaluate the exponential function.
P(10) = 9·1.3¹⁰ ≈ 124.07
If 5% of the students transferred into the school, how many students transferred in if there is
a total of 60 students? *
Answer: 3
Step-by-step explanation: 60 + 5% is 63 so if you subtract the 3 instead of adding it you get 57 meaning 3 of the 57 are transfer students
PLEASE HELP ASAP is this relationship linear, exponential, or neither?
Answer:
neither
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Maggie Jay owns her own car. Her June monthly interest was $250. The rate is 13 1/2 percent. Jay's principal balance at the beginning of June is: (Use 360 days)
Answer:
the principal balance at the beginning of June is $22,222.22
Step-by-step explanation:
The computation of the principal balance at the beginning of June is shown below:
Principal balance = Interest paid ÷ (Interest Rate ÷ 12 Months)
= $250 ÷ (13.5% ÷ 12)
= $22,222.22
Hence, the principal balance at the beginning of June is $22,222.22
please help does anyone know this
answer choices
1. 65
2. 20
3. 35
4. 70
Answer:
70
Step-by-step explanation:
Hello There!
So if you didn't know an exterior angle of a triangle is equal to the two opposite interior angles of a triangle
So basically
∠XYZ=∠WXY+∠XWY
so to find ∠XWY we subtract the value of ∠WXY (45) from the value of the exterior angle (115)
115-45=70 so ∠XWY=70
Answer:
?+45=115° sum of two interior angle of the triangle is equal to the exterior angle
<XWY=115-45=70
WILL MARK BRAINLYEST AND 40 POINTS
Answer:
B
Step-by-step explanation:
Answer:
Distributive Property
Step-by-step explanation:
This is distributive property because you are distributing the 5 by multiplying it by the variables in the parenthesis.
The base of a triangle is 7 meters longer than the height of the triangle of the area of the triangle is 22 square meters what are the base and height of the triangle
Answer:
[tex]given \\ heigh(h) = 7m \\ area \: of \: triangle \: (a) = 22m {}^{2} \\ base(b) = x \\ a = \frac{1}{2} \times h \times b \\ \frac{a}{h} = \frac{1}{2} \times b \\ b = 2( \frac{a}{h} ) \\ b = 2( \frac{22m {}^{2} }{7m} ) \\ b = 6.29m \\ base = 6.29m[/tex]
Question 4 ( i-Ready )
The system of equations 2y = 14 - 2x and y = -x + 7 is
graphed. What is the solution to the system of equations?
A. (0,-7)
B. No solution
C. (0,0)
B. Infinitely many solutions
Answer:
Step-by-step explanation:
Note that the two equations are equivalent.
2y = 14-2x can be rearranged to y = -x+7, which is the same as the second equation. What you're looking is one line on top of the other.
Every shared point is a solution. Since there are infinitely many points on a line, and these lines share every point, there are infinitely many solutions.
Help me as much as you can please :)
Answer:
Step-by-step explanation:
1). System of equations is,
-2x - y = -22 -------(1)
4x - 8y = 4 -------(2)
By satisfying these equations with the given point (9, 4),
Equation (1)
-2(9) - 4 = -22
-18 - 4 = -22
-22 = -22
True.
Equation (2)
4(9) - 8(4) = 4
36 - 32 = 4
4 = 4
True.
Given point lies on both the equations.
Therefore, the given point is the solution of the system of equations.
2). 3x - 3y = 27 -----(1)
-2x + 9y = -11 ------(2)
Satisfy the equations with the given point (-10, -1)
Equation (1)
3(-10) - 3(-1) = 27
-30 + 3 = 27
-27 = 27
False.
Equation (2)
-2x + 9y = -11
-2(-10) + 9(-1) = -11
20 - 9 = -11
11 = -11
False.
Therefore, the given point is not the solution of the system of equations given.
Help me out please ??
x-14=-9 what is the solution to this equation?
Answer:
x=5
Step-by-step explanation:
-9+14=5
Answer:
5
Step-by-step explanation:
5-14=-9
x=-9=14
x=5
In ΔEFG, the measure of ∠G=90°, GE = 2.1 feet, and EF = 4.8 feet. Find the measure of ∠F to the nearest degree.
Answer:
26 degrees
Step-by-step explanation:
Answer:
2.6 degrees
Step-by-step explanation:
I need help with this question
Answer:
V would go to (6,-3), S (4,-2), T (4,2), U (6,6)
Step-by-step explanation:
move each point right 10 points, and down 2 points. :)
Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows. # of movies Frequency 0 5 1 9 2 5 3 5 4 1 (a) Find the sample mean x. (Enter your answer to two decimal places.) x = (b) Find the approximate sample standard deviation, s. (Round your answer to two decimal places.) s =
Answer:
a) x = 1.52
b) s = 1.16
Step-by-step explanation:
We have that:
5 students watched 0 movies.
9 students watched 1 movie.
5 students watched 2 movies.
5 students watched 3 movies.
1 student watched 4 movies.
(a) Find the sample mean x.
Sum divided by the number of students. So
[tex]x = \frac{5*0 + 9*1 + 5*2 + 5*3 + 1*4}{5 + 9 + 5 + 5 + 1} = \frac{38}{25} = 1.52[/tex]
(b) Find the approximate sample standard deviation, s.
Standard deviation of the sample.
Square root of the sum of the squares of the values subtracted from the mean, divided by the sample size subtracted by 1. So
[tex]s = \sqrt{\frac{5*(0-1.52)^2 + 9*(1-1.52)^2 + 5*(2-1.52)^2 + 5*(3-1.52)^2 + 1*(4-1.52)^2}{24}} = \sqrt{\frac{32.24}{24}} = 1.16[/tex]
What is a simplified form of the expression 7x – 5(x + 1)?
Answer:2.5
Step-by-step explanation:
What is the name of a 16-sided polygon?
heptadecagon
16agon
16-gon
decahexagon
What’s the equation of a line with an undefined slope passing through (-1,7)
Answer:
y=7
Step-by-step explanation:
what is the standard form of y= 2/3x + 6
Answer: 2x/3 +6
Step-by-step explanation: You have to combine 2/3 and x to get 2x/3+6
X + 4 < 6 help.......
Answer:
x<2
Step-by-step explanation:
Hello There!
Our objective for this problem is to isolate the variables
To do so we use inverse operations
x+4<6
subtract 4 from each side
4-4 cancels out
6-4=2
we're left with
x<2
Step-by-step explanation:
It is just like a normal x equation just with an inequality. So for now, just represent the < as and =
so we have x+4=6
subtract 4 from both sides
x+4-4=6-4
x=2
Now we insert the <
x<6
so all values for x are all less than 6
Hope that helps :)
please help me someone
David drove 580 km on 7 hour journey. on the city roads he drove 60km/h and on the he drove 100km/h. How long did he drive at each rate?
Answer:
3 hours on the city roads and 4 hours on the other roads
Step-by-step explanation:
580 (total miles driven) - 400 (4 hours of driving 100km/h) = 180 (miles left)
180 (miles left to drive) / 60 (km/h) = 3 (hours driven at the speed of 60km/h)
I hope this helps :)
what do the numbers 13%, 10%, 0.125, and 1/5 have in common
We have that what 13%, 10%, 0.125, and 1/5 have in common is
These are all numbers less than 1 as the are all decimal of "0."
From the Question we are told that
13%, 10%, 0.125, and 1/5 are number given
We must note that
These are all numbers less than 1 as the are all decimal of "0."
13%, =0.13
10%, =0.10
0.125,=0.125
1/5=0.2
For more information on this visit
https://brainly.com/question/6201432?referrer=searchResults
3. A new restaurant in town is surveying residents to determine how much they typically pay for a meal out. Which of the following best describes a random sample? A. They go door-to-door in a nearby neighborhood. B. They randomly select 50 residents of a local nursing home. C. They call 200 randomly selected town residents. D. They ask patrons if the price was reasonable.
Answer:
C
Step-by-step explanation:
A is specific to a single neighborhood
B is specific to a single nursing home
D is specific to only patrons
When looking for a random sample, in this case - the town, you have to consider how to select based on the entire sample.
elmedico ha recetado a luis un frasco de 24 vitaminas con las siguientes indicaciones. La semana 1 debe tomar la cuarta parte de las vitaminas, la semana 2 debe tomar 2/3 de las vitaminas restantes y la semana tres el resto ¿cuantas vitaminas toma cada semana?
Answer:
I don't know this answer
Answer:
Ya no hay
Step-by-step explanation:
Circles.
Answer:
Step-by-step explanation:
b
Complete the square to re-write the quadratic function in vertex form:
y = x2 – 7x - 6
Answer:
y = (x - 3.5)^2 - 18.25
Step-by-step explanation:
y = x^2 – 7x - 6
y = (x^2 – 7x) - 6
y = (x^2 – 7x + 3.5^2 - 3.5^2) - 6
y = (x^2 – (2)(3.5)x + 3.5^2) - 3.5^2 - 6
y = (x - 3.5)^2 - 3.5^2 - 6
y = (x - 3.5)^2 - 18.25
Faith wants to use the formula C(f) = 59(f - 32) to convert degrees Fahrenheit, f, to degrees Celsius, C(f). If Faith calculated C (68), what would her result be?
Answer:
I don't understand what the problem is saying... 2124...95...
Step-by-step explanation:
Pls pls pls pls I will mark you Brainest.
Answer:
1) 2
2) 3
3) 4
4) 5
Step-by-step explanation:
Plug in the c variables in the table into the equation to find w.
Can someone answer this question if you know the answer.
Answer choices:
A. 1/20
B. 40%
C. 1/40
D.50%
Answer:
It's C
Step-by-step explanation:
A car dealership decreased the price of a certain car by 4% . The original price was $39,200.
Answer:
37,632
Step-by-step explanation:
Subtract 4% from 39,200 and you'll get 37,632
Write a equation that is represented by the ratio table.
Look in the photo
Answer:
the equation is p=8m. x=24
Step-by-step explanation:
The value of p is 8 times greater than m. So 8 times greater than 3 is 24.