Answer:
Three examples are 0.471, 0.472, 0.473.
Always remember there are more than 2 place values in decimals! Do not be afraid to extend it. Have a nice day and mark brainliest if possible :)
Celesta wants to go on a cruise in three years. She could earn 8.2 percent compounded monthly in an account if she were to deposit the money today. She needs to have $10,000 in three years. How much will she have to deposit today
Given:
Amount after three years = $10000
Rate of interest = 8.2 percent compounded monthly = 0.082
Time = 3 years
To find:
The principal value.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
where, P is principal, r is rate of interest, n is the number of times interest compounded in an year, t is number of years.
Substitute A=10000, r=0.082, n=12 and t=3 in the above formula.
[tex]10000=P\left(1+\dfrac{0.082}{12}\right)^{12(3)}[/tex]
[tex]10000=P\left(1+\dfrac{41}{6000}\right)^{36}[/tex]
[tex]10000=P\left(\dfrac{6041}{6000}\right)^{36}[/tex]
[tex]10000=P(1.27783)[/tex]
Divide both sides by 1.27783.
[tex]\dfrac{10000}{1.27783}=P[/tex]
[tex]7825.76712=P[/tex]
[tex]P\approx 7825.767[/tex]
Therefore, today she have to deposit $7825.767.
I need help with this question
Answer:
The answer is going to be option 1.
Step-by-step explanation:
The answer you get from multiply an number by itself is a perfect square.
Answer:
8×8 =8^2=64 (perfect square)
Step-by-step explanation:
64 is a perfect square because 8^2 =8×8 =64
A helicopter’s speed increases from 30 m/s to 40 m/s in 5 seconds.
What is the acceleration of this helicopter?
______m/s2
Answer:
2m/s^2
Step-by-step explanation:
the difference between 30 and 40 is 10. divide 10 by 5 and you get 2
Answer:
The answer is 2m/s2
Step-by-step explanation:
i got it right
pls help will give brainliest
Answer:3rd one
Step-by-step explanation:
How do I solve this?
Answer:
Step-by-step explanation:
Slope= -3/1
plot from point (-2,4)
Answer:
Step-by-step explanation:
Just so that we have something to work with, the length of the longest day (June 22) in Acron Ohio is 15 hours 8 minutes and 9 seconds on the 20th of June of this year. The number we get won't be this accurate, but it will tell us if we have done it correctly. The tricky part is when to use the radians.
cos(0.1309 H) = -0.4336 tan (40o 46 minutes) I have assumed this is in radians. It won't work any other way. The measurement cannot be in degrees which will give a negative tan from the minus sign out in front. The cos being minus will make things even worse.
cos(0.1309 H) = -0.4336 tan (40 46/60 )
cos(0.1309 H) = -0.4336 tan (40.766666667)
cos(0.1309 H) = -0.4336 * -0.074173405
cos(0.1309 H) = 0.032161588
0.1309 H = cos-1(0.032161588)
0.1309 H = 1.538629191
H = 1.538629191 / 0.1309
H = 11.754 which is no where near 15 hours, but it is what the numbers give.
I would suggest that you go to your instructor for the other two. Work this one out until you get somewhere near 11.7 hours.
The other two cities should come to something near this answer.
The rule (x, y)→(x−1, y-3) represents a translation 1 unit ____ and 3 units ____
Answer: left, down
Hope this helps.
Explain how sample size affects statistical significance.
Answer:
More formally, statistical power is the probability of finding a statistically significant result, given that there really is a difference (or effect) in the population. ... So, larger sample sizes give more reliable results with greater precision and power, but they also cost more time and money.
Please Assist!
What is the answer to this question???
Answer:
[tex](-5,\frac{1}{2} )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
R(-2, 3)
S(-8, -2)
[tex](\frac{-2+-8}{2},\frac{3+-2}{2} )[/tex]
[tex](\frac{-10}{2},\frac{1}{2} )[/tex]
[tex](-5,\frac{1}{2} )[/tex]
The shapes below are similar. What does x have to be?
I NEED HELP HERE ASAP, I’m giving brainliest to the right one. I forgot how to solve this:/
Answer:
28 weeks
Step-by-step explanation:
It says that $42 was 1/3 of her total. So you multiply $42 by 3 and you get $126. You now divide $126 by her weekly allowance, $4.5, and the answer is 28.
1. $42 x 3 = $126
2. $126/$4.5 = 28
3. The answer is Sharon has been saving her allowance for 28 weeks.
Hope this helps!
-Jerc
Answer:
She has been saving her money up for 28 weeks.
Step-by-step explanation:
1. If 42 is 1/3 of her money, then you would multiply 42 by 3 to get the full 3/3 so: 42•3=126
2. Next, you would divide $126 by $4.50 because that is the total amount of money divided by how much she saved up each week, so: 126/4.5=28 and that gives us the answer which is 28.
please help explain if you can
Answer:
A
Step-by-step explanation:
58-90 bc its a right triangle
hope this helps
Find the standard deviation of the following data. Round your answer to one decimal place. x 00 11 22 33 44 55 P(X
Complete question :
Find the standard deviation of the following data. Round your answer to one decimal place.
X: 0 1 2 3 4 5
P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2
Answer:
1.833
Step-by-step explanation:
Given the data :
X: 0 1 2 3 4 5
P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2
Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]
E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2
Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²
Sqrt(8.2 - 4.84) = 1.833
Help me out please I need it
Answer:
what do you need help with you did not provide a picture or any evidence
Step-by-step explanation:
step-by-step explanation
a horizontal line , such as y=4, has a slope of what
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero and a vertical line has an undefined slope
The product of 3 consecutive integers is 4,896. What is the largest of the three consecutive numbers?
Answer:
18
Step-by-step explanation:
1. Try to create an equation. We can say that the first number is x and the following numbers are x+1 and x+2. That means that x*(x+1)*(x+2)=4896.
2. Solve and Simplify. x^3+3x^2+2x=4896.
3. Solve and Simplify (2) I'm assuming that you're not looking for the complex solutions, so x=16.
4. Find the 3rd number. 16+2=18
Answer: 18 is the largest number of the three
UM WHAT I NEED SOME ADMINS LOOK
Answer:
LOL UGH THAT KEEPS HAPPENING TO ME
Step-by-step explanation:
Answer:
try reloading the page or check your internet
Step-by-step explanation:
Which values of a, b, and c correctly represent the answer in simplest form?
4 and one-half divided by 1 and one-fourth = a StartFraction b Over c EndFraction
a = 3, b = 6, c = 10
a = 3, b = 3, c = 5
a = 5, b = 3, c = 3
a = 10, b = 6, c = 3
Answer
the answer is a i
thinnk
Step-by-step explanation:
hope this helped!!
The values of the fraction are a = 3, b= 3, c= 5 is the correct answer.
What is a fraction?A fraction is a part of a whole number, and a way to split up a number into equal parts. It is a number expressed as a quotient, in which a numerator is divided by a denominator.
For the given situation,
The fraction is given as [tex]\frac{4\frac{1}{2} }{1\frac{1}{4} }[/tex]
⇒ [tex]\frac{\frac{9}{2} }{\frac{5}{4} }[/tex]
⇒ [tex]\frac{9}{2}[/tex] × [tex]\frac{4}{5}[/tex]
⇒ [tex]\frac{18}{5}[/tex]
⇒ [tex]3\frac{3}{5}[/tex]
Thus from the above value a = 3, b= 3, c= 5.
Hence we can conclude that the values of the fraction are a = 3, b= 3, c= 5 is the correct answer.
Learn more about fractions here
https://brainly.com/question/17205173
#SPJ2
If p = 5, q = 4, and r = 1, what is the value of p - r ?
a. 3
b. 4
c. 6
d. 1
1 Later that afternoon, Robert spent more time playing the video game.
He earned 88 points. How many points did he tell his friend that
he earned?
4 tens + 14 ones = 5 tens + ___ ones
Answer:
that equation isnt set up right
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
40+14=54 and 50 = 4 + 54
Hope this helps :)Simplify. 32v2 the power of 4/ 8v to the power of 6
The product of the number g and the opposite of 7 is equal to k.
Change to an algebraic expression
Evaluate 64 to the power of 1/2 x 10 to the power of -2
In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is .75, the same as the overall proportion of complaints settled in 2008
a. Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of .
b. Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?
c. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of .
d. Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?
e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (b)?
Answer:
Explained below.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}= p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
(a)
The sample selected is of size n = 450 > 30.
Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.
The mean and standard deviation are:
[tex]\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{450}}=0.0204[/tex]
So, the sampling distribution of sample proportion is [tex]\hat p\sim N(0.75,0.0204^{2})[/tex].
(b)
Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:
[tex]P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.0204}<\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.04}{0.0204})[/tex]
[tex]=P(-1.96<Z<196)\\=P(Z<1.96)-P(Z<-1.96)\\=0.975-0.025\\=0.95[/tex]
Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.
(c)
The sample selected is of size n = 200 > 30.
Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.
The mean and standard deviation are:
[tex]\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{200}}=0.0306[/tex]
So, the sampling distribution of sample proportion is [tex]\hat p\sim N(0.75,0.0306^{2})[/tex].
(d)
Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:
[tex]P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.0306}<\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.04}{0.0306})[/tex]
[tex]=P(-1.31<Z<196)\\=P(Z<1.31)-P(Z<-1.96)\\=0.9049-0.0951\\=0.8098\\\approx 0.81[/tex]
Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.
(e)
The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.
And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.
So, there is a gain in precision on increasing the sample size.
Round 1.24236 to the nearest hundredth
Answer:
1.24
Step-by-step explanation:
Which measure is equivalent to 18,000 s?
1 min = 60 s
1 h = 60 min
0.5 h
3 h
5 h
30 h
Answer:
30 h
Step-by-step explanation:
went to the same question and got the answer plus i took th test
the function is graphed below. On which interval of X is the average rate of change of the function the greatest?
Answer:
Between x = 48 and x = 45.
Step-by-step explanation:
Average rate of change of a function in the given interval is represented by,
Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]
From the table attached,
Average rate of change of the function between x = 3 and x = 9
= [tex]\frac{16-7}{9-3}[/tex]
= 3
Average rate of change in the interval x = 9 and x = 22
= [tex]\frac{32-16}{22-9}[/tex]
= [tex]\frac{16}{13}[/tex]
= 1.23
Average rate of change in the interval x = 9 and x = 22,
= [tex]\frac{45-32}{45-22}[/tex]
= [tex]\frac{13}{23}[/tex]
= 0.57
Average rate of change in the interval x = 45 and x = 48,
= [tex]\frac{63-45}{48-45}[/tex]
= 6
Therefore, average rate of change is maximum between x = 45 and 48.
Option given in bottom right will be the answer.
Please help...
Solve using the method of your choice:
[tex]2 {x}^{2} + 3x - 2 = 0[/tex]
Answer:
x=½, -2
x= 0.5, -2
possibly im not perfect
14. Quincy delivered 240
newspapers yesterday and 180
newspapers today.
Answer:
What is the question?
Step-by-step explanation:
if 6 pounds of apples cost $9, how much would 21 apples cost?