Solution :
If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.
Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,
[tex]a_1 = D[/tex]
[tex]a_2=D_c[/tex]
[tex]a_3 = Dc^2[/tex]
[tex]a_4 = (Dc^2)c= Dc^3[/tex]
....
[tex]a_n=Dc^{n-1}[/tex]
∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]
[tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]
[tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]
[tex]S-n=D . \frac{1-c^n}{1-c}[/tex]
how many solutions does this graph have?
Answer:
one solution
Step-by-step explanation:
It will cross the x-axis one time
In the figure to the right, what is the measure of angle DAC ?
I’m not going to show answer Options because I don’t want anyone to put something random
Don’t put links cs I’m not going to press it <3
Answer:
47 degrees
Step-by-step explanation:
i am super smart
Solve for all values of x by factoring.'
x2 + 10x + 21 = 0
Answer:
Step-by-step explanation:
2x+10x=12x
12x=-21
x=-1.75
Answer:
x=-7,-3
Step-by-step explanation:
x2+10x+21
(x+7)(x+3)
x=-7,-3
The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?
Answer:
192 markers
Step-by-step explanation:
if 8 = 4% then 2=1%
so we can assume there are 200markers in the package.
8-200= 192 markers
The complex plane is also known as what?
Multiply.
(-3+2i)(-4+4i)
Write your answer as a complex number in standard form.
Answer:
4 - 20 i
Step-by-step explanation:
you do stuff and you get 4 - 20 i
an aquarium at the zoo is shaped like a cylinder. it has a height of 4 feet and a base radius of 2.5 feet. the aquarium is being filled with water at a rate of 12 gallons per minute. if one cubic foot is about 7.5 gallons, how long will it take the aquarium to fill? round to the nearest whole minute.
Answer:
49 minutes
Step-by-step explanation:
Volume
v = πr²h
v = π(2.5²)4
v = 78.5 ft³
--------------------------
Gallons needed
78.5 * 7.5 = 588.75 gallons
----------------------
Time to fill
588.75 / 12 = 49.0625
Rounded
49 minutes
Question 5
A round spinner is divided into five sections, where the sections do not have the same size. Using the measure of the interior angles, the probability of the spinner landing on any individual space on
a spin is calculated and given in the table.
©
1
3
4
5
Section
Probability
2
0.20
0.40
0.20
0.15
0.05
A statistics student is asked to test the integrity of the spinner using a chi-square goodness-of-fit test. What is the minimum number of times the spinner should be spun to conduct this test?
Answer:
The correct answer is 100
it’s a non calc question
Answer:
60 Degrees
Step-by-step explanation:
trust me
Find the perimeter X(-2,1) Y(4,3) Z(5,-1)
Answer:
17.728
Step-by-step explanation:
The radius of a circle is 6.1 millimeters. What is the circle's area?
[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]
Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents and another twelve from New York residents born after 1979. PA NY Mean 147.583 136.417 Stdev 10.6383 5.21289 If we wished to test the claim that the mean amount of strontium-90 from Pennsylvania residents is greater than the mean of New York residents, and can assume that the variances are equal, what is the Test Statistic for this test
Answer:
9.72
Step-by-step explanation:
s1 = 10.6383 ; s2 = 5.21289
x1 = 147.583 ; x2 = 136.417
n1 = 12 ; n2 = 12
df1 = n1 - 1 = 12 - 1 = 11
df2 = n2 - 1 = 12 - 1 = 11
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926
Test statistic, T* :
(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))
11.166 / √(7.926 * (1/6)
11.166 / √1.321
11.166 / 1.1493476
T* = 9.7150766
Test statistic = 9.72
Find the absolute value
|-7|
Answer:
7
Step-by-step explanation:
hello :
|-7| = - (-7) = 7
Answer:
the absolute value of l-7l is 7
hope it helps.
A high school student volunteers to
present a report to the administration about the types of lunches students prefer.
He surveys members of his class and records their choices. What type of sampling did the student use?
systematic random sampling
voluntary sampling
• convenience sampling
stratified sampling
Answer:
convenience sampling
Step-by-step explanation:
What is the surface area of the net? *inches squared*
9514 1404 393
Answer:
75 in^2
Step-by-step explanation:
The central vertical rectangle (including "ears") has dimensions
3 in wide by (9+2+2) = 13 in tall
Its area is
A = LW = (3 in)(13 in) = 39 in^2
__
The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is
A = LW = (2 in)(9 in) = 18 in^2
__
The total net area is the sum of the areas of the parts:
left rectangle + central rectangle + right rectangle
= 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net
Express 72km/h in meter per sec
Answer:
20meter per second is tw correct answer
20 m/s
Step-by-step explanation:
1km/h = 1000m/3600s = 5m/18s
⇒ 72 × 5 ÷ 18 = 20 (m/s)
I’ll give you five Stars right answer only
Answer:
58
Step-by-step explanation:
i think the answer is 58 please give brainliest
Answer:
(a) 18.5ft
(b) 388.5 ft²
Step-by-step explanation:
(a)
She has 79ft of fence = the perimeter will be 79.
Perimeter of a rectangle = 2(length) +2(width)
79 = 2(21)+2(width)
2(width) = 79 - 42
width = 37/2
width = 18.5ft
(b)
Area of a rectangle = (length)(width) = (21)(18.5) = 388.5 ft²
What is the coefficient in the following expression?
5a– 7
Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!
[tex]\mathcal\pink{The \: answer \: is }[/tex]
only one window has height that is a whole number of centimeters
[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]
[tex]\huge\pink{mark \: as \: brainliest}[/tex]
Given that f(x)=x^3, which equation describes the graph of function g?
a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3
Answer:
A or g(x) = f(x − 3) + 3
Step-by-step explanation:
pls help this stuff is so hard to understand
Answer:
y = 0.5 (2)^x
Step-by-step explanation:
3rd option
you can plug in a coordinate point like (2, 2) to check this.
Hello :D help pls? Thanks
What is the area of this partial circle if the radius is 8 inches long? Leave your answer in terms of pi.
Answer:201.06
Step-by-step explanation:
Devin has a rectangular vegetable garden. He planted tomatoes in section of the garden with an area of 6 square yards. There were 30 square yards remaining for Devin to plant zucchini. Let g represent the total area of the garden. Which equation models the problem? Solve the equation to find the total area of the garden. g =
Answer:
g=30y^2+6y^2
Step-by-step explanation:
30 years left after six were taken
Josie makes peanut butter sandwiches. She uses 1/8 cup of peanut butter on each sandwich. How many cups of peanut butter dose she need for 9 sandwiches?
Answer:
9/8
Step-by-step explanation:
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Answer? ................,,,,,,
Step-by-step explanation:
what is the formula for the whole surface area of a sphere ?
[tex]a = 4 \times \pi \times {r}^{2} [/tex]
that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.
but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.
in radians the arc length of that angle segment on the "equator" of the sphere
s = r×Theta
and the whole equator circumference is
c = 2×pi×r
so, the Theta'th part is then
r×Theta / 2×pi×r = Theta / 2×pi
we only need that part of the whole sphere surface area, so the formula would look like
[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]
=>
[tex]lune = theta \times 2 \times {r}^{2} [/tex]
Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32
12 and 18
32 and 64
40 and 60
14 and 41
Answer:
i think the answer is 12 and 18
Find the surface area of the cone. Round answer to the nearest tenth.*
Answer:
628.319 rounded= 628.3
Step-by-step
need ko na po this now
please answer this question
thank you po
Answer:
B.
Step-by-step explanation:
URGENT!! PLS HELP 16 students are competing an art contest in how many different ways can students finish first second and third
Use the compass and ruler to construct the bisector of the angle given below.
Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.
The next steps show you how to construct the bisector of the angle from a ruler and a compass.
Draw an arc using the vertex of the angle (O) as the center;Mark the points A and B;Draw an arc using the point (A) as the center;Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step. Draw a line connecting the point C to the vertex O.Finally, you have the bisector of the angle that is represented by the green line.
Learn more about the bisector of the angle here:
https://brainly.com/question/7288045