You would like to have $10,000 in an account after eight years time. If the account earns 2.5% compounded interest yearly, how much would you have to deposit today
Answer:
You have to deposit $8,207.5 today.
Step-by-step explanation:
Compound interest:
The amount of money in yearly compounded interest, after t years, is given by the following equation:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial deposit and r is the interest rate, as a decimal.
You would like to have $10,000 in an account after eight years time.
This means that when [tex]t = 8, A(t) = 10000[/tex]
2.5% compounded interest
This means that [tex]r = 0.025[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = A(0)(1+0.025)^t[/tex]
[tex]A(t) = A(0)(1.025)^t[/tex]
How much would you have to deposit today?
We have to find A(0), when [tex]t = 8, A(t) = 10000[/tex]. So
[tex]A(t) = A(0)(1.025)^t[/tex]
[tex]10000 = A(0)(1.025)^8[/tex]
[tex]A(0) = \frac{10000}{(1.025)^8}[/tex]
[tex]A(0) = 8207.5[/tex]
You have to deposit $8,207.5 today.
Please answer this!!!!!!!!!!
Answer: Dylan
Step-by-step explanation:
Dylan because i it has 8 sides and if each student rolls it 200 times, then you should divide 200 by 8. Which would make the odds 1/25. And Dylan´s number is closest to 25.
(2) what is being cooked in a preserve cooker?
Answer:
Rice and other items are being cooked in pressure cookers
I hope it helps you
As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft
costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Write and
solve a linear equation to find the number of small rafts you can rent if you rent 12 large rafts.
Answer:
10 small rafts
Step-by-step explanation:
(1600- 1200) / 40 = 10
1600- 1200 = 400
400 / 40 = 10
12 large rafts costs $1200 so subtract that amount from you budget. If you do that you will have $400 left. So I divided $400 by the amount of money each small raft cost whitch was $40 per small raft so i got the quotient of 10.
Sorry if i worded that weirdly but you get the point.
P.s sorry if it isn't comlety correct but i did my best so... ya
combine like terms -2m+16-13m
Answer:
-15m + 16
Step-by-step explanation:
Anyone help please? Thanks!
A rectangular garden is 20 ft longer than it is wide. Its area is 800 ft 2 . What are its dimensions?
Please help!! Thank you no links please
Answer:
x=6.4031
Step-by-step explanation:
4^(2)+5^(2)=x^(2) use the pythagorean theorem
2/3 times 21=
i need help again!!!
Answer:
14
Step-by-step explanation:
Find the slope of the line through the pair of points. C(–6, –7), K(–1, –7) undefined 0
Answer:
0
Step-by-step explanation:
Slope of line
[tex] = \frac{ - 7 - ( - 7)}{ - 1 - ( - 6)} \\ \\ = \frac{ - 7 + 7}{ - 1 + 6} \\ \\ = \frac{0}{5} \\ \\ = 0[/tex]
Answer:
It is Undefined so its 0
PLSS I need help please
Answer:
The Last One
Step-by-step explanation:
Hope This Helps ; )
Answer:
2/6
Step-by-step explanation:
please answer! will give brainliest
Answer:
5
Step-by-step explanation:
2+4+6+8 = 20
20 / 4 = 5
pls help! a small box measures 5in. by 10 in. By 7 in height. Find the volume of the box
Answer:
350
Step-by-step explanation:
the answer options are
6.75
-1.5y
-3x
thank you :))
Answer:
-1.5y
Step-by-step explanation:
+y(–1.5) = -1.5y
This is how distribution works
Answer:
-1.5y
Step-by-step explanation:
have a nice weekend ヽ(ヅ)ノ
Summer buys a bag of cookies that contains 7 chocolate chip cookies, 8 peanut butter cookies, 5 sugar cookies and 7 oatmeal cookies.
What is the probability that Summer reaches in the bag and randomly selects 2 oatmeal cookies from the bag? Round your answer to four decimal places.
Answer:
her chance of getting otmeal cookies are 7 out of 20
Step-by-step explanation:
you can round yourself
State whether the triangles can be proven congruent, if possible, by SSS or SAS
Answer:
AC=CE
<ACB=<ECD VERTICALLY opposite ANGLE
BC=CD
Step-by-step explanation:
TRAINgle is congruent by SAS axiom.
Tom is sorting cookies with his little sister Betty. He notices that when he takes a cookie she takes three cookies,
when he takes two cookies she takes six, and so on. What type of relationship is there between their cookie-taking
behaviors?
A)
nonproportional
B)
semiproportional
directly proportional
D)
inversely proportional
A fair die, with its faces numbered from 1 to 6, is one in which each number is equally likely to land face up when the die is rolled. On a fair die, the probability that the number 6 will land face up is 16. A group of students wanted to investigate a claim about manipulating a fair die so that it favors one outcome. The claim states that if a fair die is put into an oven and baked at 200°F for 10 minutes, the inside of the die will begin to melt. When the die cools, the inside will be solid again, but with more weight toward the bottom. This shift in weight will cause the face that was up when the die cooled to land up more often that the other faces.
The students obtained a fair die and baked it according to the preceding directions. The die cooled with the number 6 face up. After the die cooled, they rolled the die 200 times, and the number 6 landed face up 43 times. Let p represent the population proportion of times the number 6 will land face up on the baked die if the die could be rolled an infinite number of times.
(a) Clarke, one of the students, constructed a 95 percent confidence interval for p as 0.215±0.057. Does the interval provide convincing statistical evidence that the number 6 will land face up more often on the baked die than on a fair die? Explain your reasoning.
(b) Aurelia, another student, suggested they conduct a significance test to investigate the claim. She tested the hypotheses H0:p=16 versus Ha:p>16 at the significance level of α=0.05. She obtained a test statistic of 1.83 with a p-value of 0.033. Do the results of the significance test agree with the results of Clarke’s confidence interval in part (a)? Explain your reasoning.
(c) Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L. The formula for L is L=pˆ+z∗pˆ(1−pˆ)n−−−−−√.
(i) Determine the values of z∗ needed to create the one-sided 95 percent confidence interval. Then calculate the value of L.
(ii) Do the results of Joachim’s one-sided confidence interval agree with results of Aurelia’s significance test in part (b)? Explain your reasoning.
Answer:
Kindly check explanation
Step-by-step explanation:
pˆ = 43 / 200 = 0.215
A.)
The confidence interval obtained :
0.215 ± 0.057 = (0.158 ; 0.272)
Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.
B.)
H0:p=16 versus Ha:p>16
Decision :
Reject H0 ; if Pvalue < α
Pvalue = 0.033 ; α = 0.05
0.033 < 0.05 ; we reject H0
HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).
C.)
L=pˆ+z∗√pˆ(1−pˆ)n
Z critical for a one sided 95% confidence interval is 1.64
pˆ = 0.215
L = 0.215 + 1.64 * √(0.215*0.785) / 200
L = 0.215 + (1.64 * 0.1299134)
L = 0.215 + 0.213057976
L = 0.428
(-∞, 0.428)
Mr Edwards bought a 50 pound bag of flour for his bakery it was equally divided among six daysHow much flour was used per day
Answer:
8.3 lbs
Step-by-step explanation:
Why do we have to do school
I need help please help
Answer:
about 407 sq cm
Step-by-step explanation:
area of semi-circle: π10²/2 = 50π or 157
area of triangle: (20)(25)/2 = 250
Which expression is equivalent to −3 2/3
Answer:
The answer is -3 - 2/3
Step-by-step explanation:
Just subtract
d i need help on this
Step-by-step explanation:
Yes, they are similar because if you convert both of the measurements to fractions, which will be 2/3 and 8/12, you can see that if you simplify 8/12, you will get 2/3. That is why they are similar.
How can you changee u fraction into a decimal
Can someone help me? I’ll reward points + brainalist
Answer:
C
Step-by-step explanation:
radius squared * pi = 63.585
-x+3y=-1 x-3y=1
one solution, no solution, or infinitely many solutions
PLEASE HELP
Answer:
infinitely many solutions
Step-by-step explanation:
-x + 3y= -1
x - 3y =1
0=0
identity solution
If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?
PLZZZZ ASAPPPP
Answer:
15 feet
Step-by-step explanation:
if the dog run is a rectangles then the formula for the perimeter is 2h+2l
if we plug in the numbers we know we get this:
2h+2(5)=40
2h+10=40
2h=30
h=15
180 people or 40% of those surveyed do not want a mall. How many people were surveyed?
Answer:
72 people
Step-by-step explanation:
multiply 180 by the decimal form of 40%
180 x 0.40 = 72
For the total population of a large a southern city, mean family income is
$34,000, with a standard deviation (for the population) of $5,000. Imagine
that your are taking a subsample of 200 city residents. What is the Z score for
$37,000 ?
Answer:
The Z score for $37,000 is 8.49.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean family income is $34,000, with a standard deviation (for the population) of $5,000.
This means that [tex]\mu = 34000, \sigma = 5000[/tex]
Subsample of 200 city residents.
This means that [tex]n = 200, s = \frac{5000}{\sqrt{200}} = 353.55[/tex]
What is the Z score for $37,000 ?
This is Z when X = 37000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{37000 - 34000}{353.55}[/tex]
[tex]Z = 8.49[/tex]
The Z score for $37,000 is 8.49.
21p+35q
please help me!
Answer:
Simplifying
21p + 35q = 0
Solving
21p + 35q = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-35q' to each side of the equation.
21p + 35q + -35q = 0 + -35q
Combine like terms: 35q + -35q = 0
21p + 0 = 0 + -35q
21p = 0 + -35q
Remove the zero:
21p = -35q
Divide each side by '21'.
p = -1.666666667q
Simplifying
p = -1.666666667q