A sequence is said to be Geometric sequence if there is a common ratio 'r' in each successive term and the previous term.
[tex]r=\frac{\text{Successive term}}{\text{Previous term}}[/tex]
Given sequence is,
500, 100, 20......
Ratio of 2nd and 1st term = [tex]\frac{100}{500}[/tex]
= [tex]\frac{1}{5}[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{20}{100}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, there is a common ratio 'r' = [tex]\frac{1}{5}[/tex]
And the given sequence will be geometric sequence.
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An investment that costs $5,000 will produce annual cash flows of $3,000 for 3 years. Using a required return of 8%, the investment will generate a NPV of $
Answer:
The investment will generate a NPV of $2,731.
Step-by-step explanation:
Cost of an investment (PV) = $5,000
Annual cash flows = $3,000
Period of investment = 3 years
Interest rate of return = 8%
Annuity Factor = 2.577 (for 3 years at 8% per year)
Present value of the annuity = $3,000 * 2.577 = $7,731
NPV = Annuity PV minus PV of investment cost
= $7,731 - $5,000
= $2,731
b) The NPV (net present value) of $2,731 is the difference between the present value of the annual cash flows $7,731 and the investment cost of $5,000. The resulting NPV is positive and the investment should be accepted.
Which equation represents table 1
Which equation represents table 2
Which equation represents table 3
Which equation represents table 4
Which equation represents table 5
Answer:
1 y=3x 2 y=38x 3 y=202x 4 y=2x 5 y=16x
Step-by-step explanation:
Answer:do yo use I’ll need help
Step-by-step explanation:
Given the measures a = 10, b = 40, and A = 30°, how many triangles can possibly be formed?
Answer:
no triangle can be formed with the given values (i.e 0 triangle).
Step-by-step explanation:
Given;
length of side a, = 10
length of side b, = 40
angle A, = 30°
Apply sine rule to determine the angle of the second side (B);
[tex]\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2[/tex]
The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.
Answer:0
On edge
Step-by-step explanation:
The cost for a company to produce a part for d days is represented by the function
f(d) = 325d +8,795.
What does the value 8,795 represent in this situation?
Options: each day,the total cost decreases by $8795 or each day the total cost increases by 8795 or the initial cost is 8795 or the total cost to produce a part for d days is 8795...plz help
Answer:
Hi,
The equation of a linear function has the following format:
[tex]y = mx + b[/tex]
Where represents the value of for when is equal to zero.
Therefore, 8795 can be considered the initial value for production.
Step-by-step explanation:
The graph of a linear function is the same as the example below:
As noted in the figure, the value of [tex]b[/tex] provides the value of [tex]y[/tex] when [tex]x[/tex] is null. This is also called the linear coefficient of the line (or intercept)
The value of [tex]m[/tex] represents the rate of change of the function and is linked to the slope of the line.
Any questions just ask in the comments.
Since the equation given is f(d) = 325d +8,795, the value that 8,795 represent in this situation is the initial cost.
The given equation in this case is f(d) = 325d +8,795, it should be noted that 8795 is the fixed cost. On the other hand, the expression 325d represents the variable cost.
325d means that the cost will increase each day by that amount. Therefore, the value that 8,795 represents in this situation is the initial cost.
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If m<1 = 113°, What is m<4 ???
Answer:
67
Step-by-step explanation:
m<1 and m<3 are the same so subtract 113x2, or 226
subtract 360 from 226
m<2+m<4=134
divide by 2 coz m<2 and m<4 are the same as well
m<4= 67
NEED HELP ASAP PLEASE HELP!!!
HELP PLEASE!!!!!!
Answer:
1. 230, 219, 208, 197, 186.
2. Arithmetic, you are subtracting a constant rate, instead of an exponential rate.
3. Finite, the question says the farmer only took 10 trips, infinite would be much, much much more trips.
Step-by-step explanation:
1. The pattern is to subtract 11, so you just do this for 3 more times.
2. Geometric sequences could look something like 230-11=219. The you multiply by a random number like 2, then you subtract 219- (11x2), 219-22=197. This sequence does not do that.
3. It says in the question the farmer only does it for 10 more times.
Can someone help me find x.
Answer:
Step-by-step explanation:
6x+9=63
6x=63-9
6x=54
x=54/6
x=9
I encourage you to figure out the justification yourself.
A truck carries 45 crates of water. Each crate holds 24 bottles of water. How many bottles of water does the truck hold?
A. 1,008
B. 1,080
C. 1,808
D. 1,888
Answer:
answer is 1,080
Step-by-step explanation:
45×24=1,080
2x + y = 9
5x + 3y = 26
Answer:
7X+4y=35
Step-by-step explanation:
HELP HELP HELP First to HELP gets the brainliest :D
Answer:
[tex]y= -\frac{1}{3}x -6[/tex]
Step-by-step explanation:
Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!
I added in the slope formula at the bottom, just in case, so you'll see what I mean!
I hope this helps, and I explained enough! Have a great day c:
Mike made a 9-inch sub sandwich. He needs to cut it into 2/3 inch pieces. How many pieces will he be able to cut?
Divide total length by cut length:
9 / 2/3
= (9 x 3)/2 = 27/2 = 13.5
He can cut 13 pieces
If Gage gets 40 bucks a month how much months would it take him to get 300 bucks.
Answer:
7 to 8 months / most probably 8 months
7.5 months to be exact
Step-by-step explanation:
Hi there!! Let's work!
So lets Break it down,
Given: $40 every month
Prove: How many months till he has in total $300
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We need to multiply the number of months to 40 to get 300~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So lets refer to a multiplication chart to make it easier:||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Here is an example of the equation we will use:400 x (months) = $300 / (or how much ever we get)
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As you can see:We have 2 final equations because we don't have a straight forward answer. (Refer to explanation below)
40 x 7 = 280
and
40 x 8 = 320
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So in problems like these we have to think like we would in real life, if you have an option you can write 7 to 8 months or you should write 8 instead of seven since they may be asking for a specific amount of months and after 8 months Gage will reach (surpass) his goal of $300 by $20.
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Lastly, If your the owner of this question please mark me Brainliest if you really learned from my answer I really do appreciate it.THANK YOU :)which property is used in the following? 2(8+9)= 2*8+2*9
a. None of the above
b. Association property
c. Commutative property
d. Multiplication property of zero
Answer:
A) None of the above
Step-by-step explanation
it's distributive property
Use the figure to find the measures of the
numbered angles.
1/2
a
107°
b
Answer:
∠1 = 107
∠2 = 73
Step-by-step explanation:
DO ASAP. PLS
Six men can pack 900 boxes in 4 days. At this rate, how many boxes can ten men pack in 6 days?
Answer:
1350
Step-by-step explanation:
900/4 = 225
225x6=1350
i think
hope this helped
How do you do this question?
Step-by-step explanation:
The Taylor series expansion is:
Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!
f(x) = 1/x, a = 4, and n = 3.
First, find the derivatives.
f⁽⁰⁾(4) = 1/4
f⁽¹⁾(4) = -1/(4)² = -1/16
f⁽²⁾(4) = 2/(4)³ = 1/32
f⁽³⁾(4) = -6/(4)⁴ = -3/128
Therefore:
T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!
T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³
f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0. So we can eliminate the top left option. That leaves the other three options, where f(x) is the blue line.
Now we have to determine which green line is T₃(x). The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).
The bottom right graph is the only correct option.
If these two shapes are similar, what is the measure of the missing length g?
y> 3x +3
1
yer - 2
트로
Answer:
Is this in a different language?
Step-by-step explanation:ok:)
Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Answer:
S(-2, -3)
Step-by-step explanation:
Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;
S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;
x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1
Substitute the values into the formula;
X = ax2+bx1/a+b
X = 3(-1)+1(-5)/3+1
X = -3-5/4
X = -8/4
X = -2
Similarly;
Y = ay2+by1/a+b
Y = 3(-5)+1(3)/3+1
Y = -15+3/4
Y = -12/4
Y = -3
Hence the coordinate of the point (X, Y) is (-2, -3)
Match the number with its opposite. (4 points)
Find the antiderivative of f (x) = 10x4 + 12.5.
Answer:
The anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
Step-by-step explanation:
Given the function
[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]
Taking the anti-derivative of f(x)
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]
[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
Solving
[tex]\int 10x^4dx[/tex]
[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]
[tex]=10\cdot \int \:x^4dx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]=2x^5[/tex]
similarly,
[tex]\int 12.5dx[/tex]
[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]
[tex]=12.5x[/tex]
so substituting these values
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
[tex]=2x^5+12.5x[/tex]
[tex]=2x^5+12.5x+C[/tex] ∵ Add constant to the solution
Therefore, the anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
I need help ASAP Due in a day marking brainliest!!!
Answer:
i ont hel.p.............................................. .
Step-by-step explanation:
Answer:
D) -3Step-by-step explanation:
Imagine a horizontal line that intersects the graph at 3 points
Looking at the graph, the line is possible in the interval from y = -2.5 to y = -4
D) -3 is the only option in the same intervalIf you dilate a figure with scale factor r = 1/2, what scale factor do you use to reverse that dilation and move it back?
Answer:
r = 2
Step-by-step explanation:
When a figure is dilated with scale factor r = 1/2, the figure is halved. To reverse it back to normal, you would have to double the halved figure. Doubling something is the same as dilating it with a scale factor of 2.
Hope this helps :)
You are interested in determining if the average amount of time (in hours) that students spend on the Internet per day is greater than 2 hours. The data below are from a random sample of 11 students. 2.5 100 .5 1 1.5 3 3.5 4 3 4 2.5 What did you notice from your preliminary analysis of the data
Answer:
The data is not appropriately normal.
Step-by-step explanation:
In inferential statistics, a normal distribution is said to be symmetric and should be single-peaked when working with a random selection of a large sample.
The high number of the sample is 100 which is further from other samples, the central limit theorem explains that the sample size of independent mean must be large enough to mimic the population for the sample to be normal or nearly normal. So, the sample is not appropriately normal and should be larger in size.
estimate the quotient
7÷1,611
estimated
Answer:
The answer is 230.14
Easy long division
Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KM = 15.3. JKM is a right triangle because KM = 18.2. JKM is not a right triangle because KM ≠ 15.3. JKM is not a right triangle because KM ≠ 18.2.
Answer:
c
Step-by-step explanation:
,
Answer:
The Answer is C
Step-by-step explanation:
The volume of a half-gallon carton of milk is 1.9 L. How many milliliters is this?
Answer:
1.9 litres is equvalent to 1900 mililitres
What is indicated by a positive value for a correlation? a. A much stronger relationship than if the correlation were negative b. A much weaker relationship than if the correlation were negative c. Increases in X tend to be accompanied by decreases in Y d. Increases in X tend to be accompanied by increases in Y
Answer: Increases in X tend to be accompanied by increases in Y
Step-by-step explanation:
The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.
When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.
A sphere has a radius of 11 Inches. A horizontal plane passes through the center of the sphere.
Part 1 out of 2
Describe the cross section formed by the plane and the sphere.
It is a (square, circle, or oval) with a radius of in.
Answer:
part 1
circle, 11
part 2
decrease
Step-by-step explanation:
What’s the angles relationship ?
Answer:
IF YOU ARE TALKING ABOUT ANGLES 1 AND 2
They add up to 180 degrees
if you want the measures of them, ANGLE 1 = 140 degrees ANGLE 2 = 180-140=40 degrees
Step-by-step explanation:
They are Supplementary angles, which means they add up to 180 degrees
HOPE THIS HELPPPSSSSSSSSSSS