Answer:
Hello your question lacks some vital information here is the complete question
Your coin collection contains fifty 1952 silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in 2060, assuming they appreciate at a 4.1 percent annual rate?
Answer : $3,833.97
Step-by-step explanation:
Given data :
fifty (50) 1952 silver dollars
interest rate (appreciation rate) : 4.1%
How much will the collection be worth in 2060
we can calculate this by applying this formula
FV = PV ( 1 + r )^t
r = 0.041
Pv = $50
t = 108 ( 2060 - 1952 )
Fv = $50 ( 1.041)^108 = $3833.97
Solving by fractions
Answer: Step 3
Step-by-step explanation:
x = -9 or 1. She flipped the signs.
Hope it helps <3
━━━━━━━☆☆━━━━━━━
▹ Answer
Step 3
▹ Step-by-Step Explanation
Juliet flipped the signs. The final answer should be (-9, 1)
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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What is the solution to this system of linear equations? x − 3y = −2 x + 3y = 16
Answer:
so x=5 1/3 and
y= -2 2/3
Step-by-step explanation:
x-3y= -2x+3y=16. First we need to move all variables to one side of the equation and whole numbers to the other side of the equation. I see
x-3y+2x-3y=16. -3y-3y equals to -6y. 2x+x=3x. so 3x-6y=16. Lets take out the -6y so our equation would be 3x=16. x would equal 5 1/3. Now lets put back -6y into our equation. Let's now substitute x as 0. 3 times 0 equals 0 so our equation would now be -6y=16 which equals to -2 2/3.
so x=5 1/3 and
y= -2 2/3
Answer: ( x = -32, y = -16 )
Step-by-step explanation:
This can be represented by the three sides of an equilateral triangle.
x - 3y = -2x + 3y , simplify
x + 2x - 3y - 3y = 0
3x - 6y =0
x - 2y = 0 ---------------------- 1
x - 3y. = 16 ---------------------2
Solve using any methods
By elimination
y. = -16.
Substitute for y in any of the equations
x - 2y = 0
x. - 2(-16) = 0
x + 32 = 0
Therefore
x. = -32
Solution is ( -32, -16 )
Please answer this correctly
Answer:
40%
Step-by-step explanation:
The numbers that are not even are 5 and 7.
2 numbers out of 5.
2/5 = 0.4
P(not even) = 40%
Answer:
[tex]40\%[/tex]
Step-by-step explanation:
5 and 7 are not the numbers
There are 5 numbers in the spinner
[tex]p = \frac{2}{5} \\ = \frac{2 \times 20}{5 \times 20} \\ = \frac{40}{100} \\ = 40\%[/tex]
Population of town was 21000 in 1980 and it was 20000 in 1990. Assuming the population is decreasing continuously at a rate proportion to the existing population, estimate the population in 2010.
Answer:
19,000
Step-by-step explanation:
Here, we are to estimate the population in the year 2010
From the question, we can see that within a period of a decade which is 10 years, 1000 was lost
So within the period of another decade, it is possible that another 1000 be lost
The estimated population in the year 2010 is thus 20,000 - 1,000 =
19,000
The inclination (tilt) of an amusement park ride is accelerating at a rate of 2160 degreesmin22160\,\dfrac{\text{degrees}}{\text{min}^2} 2160 min 2 degrees 2160, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, i, n, end text, squared, end fraction . What is the ride's acceleration rate in degreess2\dfrac{\text{degrees}}{\text{s}^2} s 2 degrees start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, squared, end fraction ? degreess2\dfrac{\text{degrees}}{\text{s}^2} s 2 degrees
Answer:
um
Step-by-step explanation:
not sure sorry
The inside diameter of a randomly selected piston ring is a randomvariable with mean value 12 cm and standard devtiation of .04cm.
a. If Xbar is the sample mean diameter form a random sample of=16 rings, where is the sampling distrbution of Xbar centered andwhat is the standard deviation of the Xbar distribution?
b. Answer the questions above for a sample of size n=64
c.find the probability that the average diameter of pistonrings from a sample size 16 is more than 11.95cm
d. For which of the above two random saples is Xbar morelikely to be within .01cm of 12cm? Explain.
Answer:
The answer is below
Step-by-step explanation:
Given that:
mean value (μ) = 12 cm and standard deviation (σ) = 0.04 cm
a) Since a random sample (n) of 16 rings is taken, therefore the mean (μx) ans standard deviation (σx) of the sample mean Xbar is given by:
[tex]\mu_x=\mu=12\ cm\\\sigma_x=\frac{\sigma}{\sqrt{n} }=\frac{0.04}{\sqrt{16} }=0.01[/tex]
The sampling distribution of Xbar is centered about 12 cm and the standard deviation of the Xbar distribution is 0.01 cm
b) Since a random sample (n) of 64 rings is taken, therefore the mean (μx) ans standard deviation (σx) of the sample mean Xbar is given by:
[tex]\mu_x=\mu=12\ cm\\\sigma_x=\frac{\sigma}{\sqrt{n} }=\frac{0.04}{\sqrt{64} }=0.005\ cm[/tex]
The sampling distribution of Xbar is centered about 12 cm and the standard deviation of the Xbar distribution is 0.005 cm
c) n = 16 and the raw score (x) = 11.95 cm
The z score equation is given by:
[tex]z=\frac{x-\mu_x}{\sigma_x} =\frac{x-\mu}{\sigma/\sqrt{n} } \\z=\frac{11.95-12}{0.04/\sqrt{16} }\\ z=-5[/tex]
P(x > 11.95 cm) = P(z > -5) = 1 - P(z < -5) = 1 - 0.000001 ≅ 1 ≅ 100%
d) for n = 64, the standard deviation is 0.01 cm, therefore it is more likely to be within .01cm of 12cm
Using the normal distribution and the central limit theorem, it is found that:
a) The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.01 cm.
b) The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.005 cm.
c) 100% probability that the average diameter of piston rings from a sample size 16 is more than 11.95 cm .
d) Due to the lower standard error, the sample of 64 is more likely to be within 0.01 cm of 12 cm.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 12 cm, thus [tex]\mu = 12[/tex]Standard deviation of 0.04 cm, thus [tex]\sigma = 0.04[/tex].Item a:
Sample of 16, thus [tex]n = 16[/tex] and [tex]s = \frac{0.04}{\sqrt{16}} = 0.01[/tex]
The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.01 cm.
Item b:
Sample of 64, thus [tex]n = 64[/tex] and [tex]s = \frac{0.04}{\sqrt{64}} = 0.005[/tex]
The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.005 cm.
Item c:
This probability is 1 subtracted by the p-value of Z when X = 11.95, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{11.95 - 12}{0.01}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a p-value of 0.
1 - 0 = 1.
100% probability that the average diameter of piston rings from a sample size 16 is more than 11.95 cm .
Item d:
Due to the lower standard error, the sample of 64 is more likely to be within 0.01 cm of 12 cm.
A similar problem is given at https://brainly.com/question/24663213
Two random samples with sizes 100 and n are chosen from the populations with the means 85.6 and 82.1. They have standard deviations 12.4 and 8.9, respectively. Which of these values of n would result in the smallest SE?
a. 100
b. 120
c. 90
d. 50
e. 70
Answer:
[tex] SE= \sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}[/tex]
And for this case if we have the same sample size we got the minimum value when we have the higher value fo n for each one and for this case would be the answer:
b. 120
Step-by-step explanation:
For this case we have the following info given:
[tex] n_1 = n_2 = 100[/tex]
[tex]\mu_1 = 85.6[/tex]
[tex]\mu_2 = 82.1[/tex]
[tex] \sigma_1 =12.4[/tex]
[tex]\sigma_2 = 8.9[/tex]
We assume that the variable of interest is the linear combination of the two means and for this case the standard error would be given by:
[tex] SE= \sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}[/tex]
And for this case if we have the same sample size we got the minimum value when we have the higher value fo n for each one and for this case would be the answer:
b. 120
Identify the segments that have a ratio of lengths 1:2
Answer:
C. BE:KA
Step-by-step explanation:
The segments that have a ratio of lengths 1:2 are BE and KA.
A diameter is a straight line that touches 2 points on the circumference of a circle and touches the point at the center. KA is the diameter.
A radius is a straight line touches a point on the circumference of a circle and touches the point at the center. BE is the radius.
The radius of a circle is half the diameter.
[tex]r=\frac{d}{2}[/tex]
If the radius is 1 cm, then the diameter is 2 cm.
Basic factoring. Please help!
Answer:
-1(3 - y)
Step-by-step explanation:
If you factor out a negative 1, you will get the opposite signs you already have, so -1(3 - y). To check, we can simply distribute again:
-3 + y
So our answer is 2nd Choice.
Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?
Answer:
15 km/h
Step-by-step explanation:
Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?
15 minutes * (1 hour)/(60 minutes) = 0.25 hour
speed = distance/time
distance = speed * time
distance = 12 km/h * 0.25 hour = 3 km
He cycles a distance of 3 km.
12 minutes * (1 hour)/(60 minutes) = 0.2 hour
speed = distance/time
speed = 3 km/(0.2 hour)
speed = 15 km/h
13. Mr. Ralph took out a 10-year term policy with a face value off dollars. Over the lifetime of the policy, he pays monthly payments of m dollars. He dies after 12 years. How much will his family receive
from the insurance company?
Answer:
0
Step-by-step explanation:
There will be no death benefit. The policy expired after 10 years.
find the common ratio of the geometric sequence: 16/3,4,3,…
Answer:
3/4
Step-by-step explanation:
r= a3/a2=3/4
or
r= a2/a1= 4÷16/3= 4×3/16= 3/4
What is sec(5pi/3) ?? Need Help
Answer:
2
Step-by-step explanation:
When in doubt, have your calculator evaluate this.
___
The reference angle for 5π/3 is π/3. The angle is in the 4th quadrant, where the secant is positive.
sec(5π/3) = sec(π/3) = 1/cos(π/3) = 1/(1/2)
sec(5π/3) = 2
The above answer is correct! The correct answer is 2 :)
Just got it right on edge 2020!
What is the equation of BD, simplified?
Third option is the correct answer.
Answer:
[tex] y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2bc}{(2a - c)} \bigg][/tex]
Step-by-step explanation:
[tex]y - y_1 = m(x - x_1) \\ \\ y - 0 = \bigg[ \frac{2b}{(2a - c)} \bigg] (x - c) \\ \\ y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2b}{(2a - c)} \bigg]c \\ \\ \purple { \boxed{ \bold{y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2bc}{(2a - c)} \bigg]}}} \\ [/tex]
Please help me solve this!
Answer:
Step-by-step explanation:
a) AB=2AM
A__________M__________B
If M is the midpoint of AB, then AM = MB
Since AM=MB MB=2AM
Therefore AB=2AM
b)AM=1/2MB
sincs M is midpoint of AB.
then AM=BM....(1)
and also AM+BM=AB
AM+AM=AB from (1)..AM=BM
2AM=AB
AM=1/2AB
1. Write down a pair of integers
(a) sum is -7
Answer:
-10, 3
Step-by-step explanation:
-10, 3 work since
-10 + 3 = -7
All help is appreciated! If sin²(32°) +cos² (M) = 1, then M equals?
Answer: M=32°
Step-by-step explanation:
The identity sin²(x)+cos²(x)=1 can help us figure out the value of M. You can see that the problem's format fits exactly the identity. Since x is the same in the identity, we know that M=32°.
help asap!! will get branliest.
Answer:
C
Step-by-step explanation:
A reflection is when the original diagram or picture is fliped exactly over the x axis.
HEYA!!
Answer:
Your Answer of the Question is C
if you want to prove it you can do the same thing in real life by drawing a 'W' on a paper and see its reflection on the mirror
HOPE IT MATCHES!!
6) BRAINLIEST & 10 + POINTS!
Answer:
the height of the building is approximately 134 yards
Step-by-step explanation:
Recall that i order to use the arc-length formula:
[tex]arc\,\,length=R\,\theta[/tex]
we know the radius R, but the angle [tex]\theta[/tex] must be given in radians. Then we convert [tex]4.5^o[/tex] to radians, and then use 1700 yards as the radius in the formula.
[tex]4.5^o*\frac{\pi}{180} =0.07854[/tex]
Therefore, the arc length formula would render:
[tex]arc\,\,length=R\,\theta\\arc\,\,length=1700\,(0.07854)=133.518\, yards[/tex]
which rounded to the nearest yard becomes: 134 yards
Answer:
≈ 134 yards
Step-by-step explanation:
Arc length formula:
s= rθ
s = arc length (in radians)
r = radius
θ = central angle in radians
-------
Given,
s= 1700 yards
θ= 4.5°, converted to radians: 4.5°*π/180°= 0.0785
So the arc length:
s= 1700*0.0785= 133.45 ≈ 134 yardsWhich figure is described below?
The locus of points 9 units from the
point (-1,3) on the coordinate plane.
A. circle
B. plane
C. ray
D. line
Answer:
Option A.
Step-by-step explanation:
Circle contains all points in a plane that are equidistant from a point, i.e., center of the circle.
The locus of points 9 units from the point (-1,3) on the coordinate plane.
It means, the figure represents the set of all points which are 9 units from the point (-1,3).
So, the given describes a circle with of 9 units and center at (-1,3).
Therefore, the correct option is A.
if 2 X degree is the exterior angle of triangle and X degree and 45 degree are opposite interior angles find the value of x degree
Answer:
x=32
Step-by-step explanation:
that's the value for x i think, i'm not sure
At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
Answer:
{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)
Step-by-step explanation:
From this equation 4x − y = 3
-y = 3 - 4x
then, y = 4x - 3
From line equation y = mx + b
Therefore, the slope is 4
Since the are parallel line, they will have same slope
Finding the derivative of y = 2 + 2e^x − 4x
y = 2 + 2e^x − 4x
y' = 0 + 2e^x - 4
Therefore,
4 = 2e^x - 4
4 = e^x
x = ln 4 = 1.39
To find the y coordinate
y = 2 + 2e^x − 4x
y = 2 + 2e^ln 4 − 4 ln 4
y = 4.45
Hence, they are parallel at point (1.39 and 4.45)
xpress 8/(1 - 2x)2 as a power series by differentiating the equation below. What is the radius of convergence? 4 (1 - 2x) = 4(1 + 2x + 4x2 + 8x3 + ...) = 4 [infinity] Σ n=0 (2x)n SOLUTION Differentiating each side of the equation, we get 8 (1 - 2x)2 = 4(2 + Correct: Your answer is correct. + 24x2 + ...) = 4 [infinity] Σ n=1 Incorrect: Your answer is incorrect. If we wish, we can replace
Recall that for |x| < 1, we have
[tex]\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]
Replace x with 2x, multiply 4, and call this function f :
[tex]f(x)=\dfrac4{1-2x}=\displaystyle4\sum_{n=0}^\infty(2x)^n[/tex]
Take the derivative:
[tex]f'(x)=\dfrac8{(1-2x)^2}=\displaystyle8\sum_{n=0}^\infty n(2x)^{n-1}=\boxed{8\sum_{n=0}^\infty (n+1)(2x)^n}[/tex]
By the ratio test, the series converges for
[tex]\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)(2x)^{n+1}}{(n+1)(2x)^n}\right|=|2x|\lim_{n\to\infty}\frac{n+2}{n+1}=|2x|<1[/tex]
or |x| < 1/2, so the radius of convergence is 1/2.
Hurrryy plzzz!!
Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2
In a Local boutique you intend to buy a handbag with original price $38 a jacket with original price of 189 and a scarf with original price $23 currently the store is running a promotion for 30% off entire store in addition as a store loyalty card member you’re entitled to an extra 10% off all sales price the state charges a 5% sales tax on all purchases which is the final purchase price of the items including all discounts and sales tax write your answer to
Answer:
$165.38
Step-by-step explanation:
In the question, we are asked to work with percentages. We know that the person had bought three items of a total of 250 dollars (38 + 189 + 23). We are told that the items have a 30% discount, another 10% discount on that and a 5% tax increase on all of that.
First, let's work with the 30% discount. The official way of working out the problem you would use the unitary method. The unitary method is when we divide the total cost by 100. So 250/100, is 2.5. We multiply this by the remaining percent (100%- 30%=70%) so 2.5*70 is 175.
Then, we work with ten percent. The only difference is that instead of using the original price with are using the 30% discounted price. If we use the unitary method again we find that 175/100 is 1.75 and that multiplied by 90 (because we are only subtracting the 10% not 30%) is 157.50.
Finally, we do the same for the 5% percent only difference being we add it to 157.50. 157.50/100 is 1.575 and multiplied by 105 (because we are adding 5% onto 100% so it becomes 105%).
The final answer is 165.375 and when rounded to the nearest cent it becomes $165.38.
The population of a town increases by 5 % every five years. Due to a high rate of industrialisation of
the area, the population witnesses a further 5 % increase due to migration from neighbouring places.
Which of the following can be the population of this place, if it is known that the present population of
the place is between 44000 and 45000?
A) 44100
B)44050
C)44200
Answer:
A
Step-by-step explanation:
Because 105%*105%=1.1205
and the only number divisible by that is A
Write an equation:
For every 2 apples there
are 6 bananas
Answer:
[tex]2a=6b\\a=3b[/tex]
Step-by-step explanation:
Let [tex]a[/tex] equal the amount of apples and [tex]b[/tex] equal the amount of bananas.
[tex]2a=6b\\a=3b[/tex]
Answer:
every 2 apples there
are 6 bananas
Step-by-step explanation:
2a=6b
The given equation has been solved in the table. In which step was the subtraction property of equality applied?
Answer:
Option (D)
Step-by-step explanation:
Subtraction property of equality tells that whatever subtracted from one side of the equation must be subtracted from the other side.
If x + 2 = 2,
By the property of subtraction of equality,
x + 2 - 2 = 2 - 2
x = 0
But in the given question,
[tex]\frac{x}{2}-7=-7[/tex]
[tex]\frac{x}{2}-7+7=-7+7[/tex]
shows the addition property of equality in step (2)
Therefore, subtraction property of equality was not applied.
Option (D) will be the answer.
please simplify will give brainliyest
[tex]\displaystyle\bf\\-\sqrt{m^4n^7}=\\\\=-\sqrt{m^{2\times2}\times n^{3\times2+1}}=\\\\=-\sqrt{m^{2\times2}\times n^{3\times2}\times n}}=\\\\=-\sqrt{\Big(m^2\Big)^2\times \Big(n^3\Big)^2\times n}}=\\\\=-\sqrt{\Big(m^2\times n^3\Big)^2\times n}}=\\\\=\boxed{\bf-m^2n^3\sqrt{n}}[/tex]
Which of the following is equivalent to the polynomial given below?
Answer:
[tex](x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))[/tex]
Step-by-step explanation:
The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.
Notice that it is just [tex]+6x[/tex]. This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:
[tex](x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))[/tex]
[tex]x^{2} +(3+\sqrt{11}i)x+(3-\sqrt{11}i)x+(3+\sqrt{11}i)(3-\sqrt{11}i)[/tex][tex]x^{2}+3x+\sqrt{11}ix+3x-\sqrt{11}ix+9+3\sqrt{11}i-3\sqrt{11}i-(\sqrt{11})^{2}(i^{2})[/tex][tex]x^{2}+6x+9-(11)(-1)[/tex]
[tex]x^{2}+6x+9+11[/tex]
[tex]x^{2}+6x+20[/tex]
Therefore as we suspected, the answer is C.