How much interest would $1,000 earn in one year at a rate of 6%, compounded annually? What would be the new balance?
Please, help me!
Answer:
The investment will generate $ 60 in interest, with which the new balance will be $ 1060.
Step-by-step explanation:
To determine how much interest would $ 1,000 earn in one year at a rate of 6%, compounded annually, and what would be the new balance, the following calculations must be performed:
1000 x (1 + 0.06 / 1) ^ 1x1 = X
1000 x 1.06 ^ 1 = X
1000 x 1.06 = X
1060 = X
Therefore, the investment will generate $ 60 in interest, with which the new balance will be $ 1060.
The 98 percent confidence interval (−0.248,−0.134) was constructed to estimate the slope of a regression model for a bivariate data set with 20 values. Alice claims that a sample size of 25 will produce a narrower interval, all other things remaining the same. Desmond claims that a sample size of 15 will produce a narrower interval. Which statement is true about the claims made by Alice and Desmond?
a. Alice’s claim is correct.
b. Desmond’s claim is correct.
c. Both Alice’s claim and Desmond’s claim are correct.
d. Neither Alice’s claim nor Desmond’s claim is correct.
e. There is not enough information to determine whether the claims are correct.
Answer:
a. Alice’s claim is correct.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval is inversely proportional to the sample size. This means that a smaller sample size leads to a smaller margin of error and a narrower interval, while a larger sample size leads to a larger margin of error and a wider interval.
Alice claims that a sample size of 25 will produce a narrower interval
25 > 20, so smaller margin of error and narrower interval, which means that Alice is correct.
Desmond claims that a sample size of 15 will produce a narrower interval.
15 < 20, so larger margin of error and wider interval, which means that Desmond is wrong.
So the correct answer is given by option a.
NEED HELP PLEASE ASAP! BRAINLIEST TO RIGHT ANSWER! Two similar rectangles have areas of 6 in.2 and 24 in.2. What is the scale factor of the smaller rectangle to the larger rectangle?
A. 2 : 1
B. 4 : 1
C. 6 : 1
Directions: Find the perimeter and area of each figure below.
HELPPPP ASPPP
Answer:
17) [tex]6a^{3}b^{2}[/tex]
18) [tex]40m^{4} n^{10}[/tex]
19) 14x³y²
20) [tex]9x^{2} y^{6}[/tex]π
Step-by-step explanation:
17)
Area of triangle = 1/2*b*h
A = 1/2(4a²b)(3ab)
A = 6(a³b²)
18)
A = 1/2(4mn⁵)(20m³n⁵)
A = (40)(m⁴n¹⁰)
19)
A = 2 (1/2)(2xy)(3x²y)
A = (6x³y²) + (4x²y*2xy)
A = 6x³y² + 8x³y²
A = 14x³y²
20)
A = (3xy³)²
A = 3² x² (y³)²
A farmer watered 3/8 of a field. What percentage is equivalent to the fraction of the field the farmer watered?
Answer: 37.5%
Step-by-step explanation:
To find 3/8, divide 100 by 8 (12.5), then multiply that by 3 to figure out 3/8.
about travels in the following path. How far north did it travel? Round your answer to the nearest 10th of a mile
Answer:
19.1 miles
Step-by-step explanation:
The situation given represents a right triangle.
Thus, we would use trigonometric function to find how far north the boat travelled.
Let's represent how far the boat travelled north with "x".
Thus:
Reference angle = 23°
Opposite = x
Adjacent = 45 miles
Apply TOA:
Tan 23° = Opp/Adj
Tan 23° = x/45
Multiply both sides by 45
45 × Tan 23° = x
x = 45 × Tan 23°
x = 19.1013667
x = 19.1 miles (nearest tenth of a mile)
how to calculate tax rebate
12 = 0.005 X W
Solve the equation
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Jed is building a roof for his shed. The highest point of the roof will be 3 ft higher than the top of the shed. The slanted roof will be 7 ft long. What is the measure of the angle formed by the top of the shed and the slanted roof?
Answer:
90 degrees
Step-by-step explanation:
Answer:
It’s 100% 25..
Step-by-step explanation:
Answer this I’ll give brainalist + points, please help!
Answer:
B
Step-by-step explanation:
the mean of A
= (84 + 84 + 85 + 86) ÷ 4
= 339 ÷ 4
= 84.75
the median of A
= (84 + 85) ÷2
= 169 ÷ 2
= 84.5
84.75 > 84.5
the mean of B
= (74 + 79 + 82 + 87) ÷ 4
= 332 ÷ 4
= 80.5
the median of B
= (79 + 82) ÷2
= 161 ÷ 2
= 80.5
80.5 = 80.5
the mean = the median
the mean of C
= (63 + 66 + 67 + 68) ÷ 4
= 264 ÷ 4
= 66
the median of C
= (66 + 67) ÷2
= 133 ÷ 2
= 66.5
66 < 66.5
the mean of D
= (14 + 16 + 18 + 19) ÷ 4
= 67 ÷ 4
= 16.75
the median of D
= (16 + 18) ÷2
= 34 ÷ 2
= 17
16.75 > 17
Will the two expressions always be equivalent,
regardless of the value of p? Explain.
3(2p) and 2(3p)
Answer:
Yes
Step-by-step explanation:
If you multiply it out, the expressions have the same value of 6p, so whatever you plug in for p, it will always be the same
The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the Quality of Management and the Reputation of the Company for over 250 world-wide corporations. Both the Quality of Management and the Reputation of the Company were rated on an Excellent, Good, and Fair categorical scale. Assume the sample data for 200 respondents below applies to this study.
Reputation of Company
Quality of management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
Required:
a. Use α = 0.05 level of significance and test for independence of the quality of management and the reputation of the company. What is the p-value and what is your conculsion??
b. If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.
Answer:
The calculated χ² = 17.0281 falls in the critical region χ² ≥ 9.49 so we reject the null hypothesis that the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent
The p-value is 0 .001909. The result is significant at p < 0.05
Part b:
40 > 8.5
35> 7.5
25> 4
Step-by-step explanation:
1) Let the null and alternative hypothesis as
H0: the quality of management and the reputation of the company are independent
against the claim
Ha: the quality of management and the reputation of the company are dependent
2) The significance level alpha is set at 0.05
3) The test statistic under H0 is
χ²= ∑ (o - e)²/ e where O is the observed and e is the expected frequency
which has an approximate chi square distribution with ( 3-1) (3-1)= 4 d.f
4) Computations:
Under H0 ,
Observed Expected E χ²= ∑(O-e)²/e
40 35.00 0.71
25 24.50 0.01
5 10.50 2.88
35 40.00 0.62
35 28.0 1.75
10 12.00 0.33
25 25.00 0.00
10 17.50 3.21
15 7.50 7.50
∑ 17.0281
Column Totals 100 70 30 200 (Grand Total)
5) The critical region is χ² ≥ χ² (0.05)2 = 9.49
6) Conclusion:
The calculated χ² = 17.0281 falls in the critical region χ² ≥ 9.49 so we reject the null hypothesis that the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent.
7) The p-value is 0 .001909. The result is significant at p < 0.05
The p- values tells that the variables are dependent.
Part b:
If we take the excellent row total = 70 and compare it with the excellent column total= 100
If we take the good row total = 70 and compare it with the good column total= 80
If we take the fair row total = 50 and compare it with the fair column total= 30
The two attributes are said to be associated if
Thus we see that ( where (A)(B) are row and columns totals and AB are the cell contents)
AB> (A)(B)/N
40 > 1700/200
40 > 8.5
35> 1500/200
35> 7.5
25> 800/200
25> 4
and so on.
Hence they are positively associated
help please triangles and trig
Given:
A figure of a right angle.
To find:
The value of x.
Solution:
We know that the measure of the altitude on the hypotenuse of a right right triangle is the geometric mean of the segments of the hypotenuse.
If the altitude "h", divides the hypotenuse in two segments "a" and "b", then
[tex]h=\sqrt{ab}[/tex]
In the given figure, the measure of the altitude is x and it divides the hypotenuse in two segments 3 units and 24 units.
Using the above theorem, we get
[tex]x=\sqrt{3\times 24}[/tex]
[tex]x=\sqrt{72}[/tex]
[tex]x=6\sqrt{2}[/tex]
Therefore, the required solutions for the given blanks are:
Blank 1: 72
Blank 2: 6
Blank 3: 2
Jim, Dan, and David share some sweets in the ratio 6:2:1. Jim gets 25 more sweets than David. How many sweets are there altogether
Answer:
45 sweets.
Step-by-step explanation:
6:2:1
To solve how many Jim and Dan has I did 6 x n and 1 x n until the difference of the two numbers equaled 25.
6 x 5 = 30
1 x 5 = 5
30 - 5 = 25.
So, Jim as 30 candy and Dan has 1. How much does David have?
Just do the same thing but with 2 x n:
2 x 5 = 10.
Now add them together:
30 + 10 + 5 = 45.
Therefore, 45 sweets!
A race is 6.75 kilometers long. What is the distance of this race in meters?
Answer:
6750 meters
Step-by-step explanation:
1 kilometer = 1000 meters
1000*6.75=6750
Answer:
6750 meters
Step-by-step explanation:
Kilometers are equal to 1000 meters, so we can just multiply 6.75 x 1000 to get 6750 meters
. You want to buy a new pair of shoes. You have a coupon for $15 off. Once you get to the store, you realize your shoes are on sale for 20% off, but you can't use both the sale price and the coupon. Which discount would offer a better deal if the original price of the shoes is $150? Explain your decision.
Answer:
I would use the sale price.
Step-by-step explanation:
20% of 150 is 30. So, you get $30 off if you use the sale price rather then the $15 coupon.
Could someone pls help me
A random sample of 30 males with online dating profiles are recruited for a study about lying in online dating profiles. Each male's actual height is measured and compared to the height posted in their online profile. The difference between the online profile height and the actual height (profile- actual) for each male is computed. The mean difference in height is determined to be 0.57 inches with a standard deviation of 0.81 inches. Determine a 95% confidence interval for the difference in mean profile height and mean actual height of online daters.
Answer:
The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 30 - 1 = 29
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0452
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0452\frac{0.81}{\sqrt{30}} = 0.3[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.57 - 0.3 = 0.27 inches.
The upper end of the interval is the sample mean added to M. So it is 0.57 + 0.3 = 0.87 inches.
The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.
Suppose you buy a CD for $300 that earns 3% APR and is compounded
quarterly. The CD matures in 5 years. Assume that if funds are withdrawn
before the CD matures, the early redemption fee is 3 months' interest. What is
the early redemption fee on this account?
A. $1.50
B. $6.00
C. $2.25
D. $3.75
The early redemption fee on this account is $2.25.
What is APR?The annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. APR is a number that shows the actual yearly cost of funds throughout the life of a loan or the revenue received on an investment. This includes any fees or additional costs linked with the transaction but excludes compounding. The APR provides consumers with a single number that they may use to compare lenders, credit cards, and investment products.
We buy a CD for $300 that earns 3% APR and is compounded quarterly.
So, The early withdrawal fee is equivalent to 3 months' interest.
= (APR / 12) X 3
= APR / 4
= 3% / 4
= 0.03/ 4
= 0.75
and, the Early withdrawal fee = 0.75 x $300
Thus, the redemption fee is
= 0.0075 x $300
= $2.25
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Newton yayınları anahtar kodu
Answer:
What does this even say maybe I can try and help.
PLEASE HELP WITH NUMBER ONE or all of them will mark Brainly-est
Answer:
Step-by-step explanation:
When is subtraction always the first operation done in an expression?
Never
When it follows addition in an expression.
When it is the first operation in an expression, from left to right.
When it is in parentheses in an expression.
Answer:
When it is the first operation in an expression, from left to right.
Find the measure of arc HJ.
Answer:
98 degrees
Step-by-step explanation:
HJ = (5x - 7)
Because it's a full circle:
61 + 34 + (5x - 7) + (9x - 22) = 360
95 + (14x - 29) = 360
14x = 360 - 95 + 29 = 294
x = 21
HJ = 5x - 7 = 5 * 21 - 7 = 105 - 7 = 98
Find m∠ECD
m∠B = __°
m∠ECD = __°
Answer:
Angle B= 31°
angle ECD=118°
Step-by-step explanation:
It Is Because Of The Two Sides Are Equal So that the opposite angle of each equal sides also equal.
angle A=angle B
31°=31°
So Angle B=31°
angle ACB+angle B+angle A=180°
angle ACB+31°+31°=180°
angle ACB+62°=180°
angle ACB=180°+62°
angle ACB=118°=angle ECD
Because It Is Him Opposite Angle
Select all correct conversions.
0.6 km = 6,000 m
46 m = 4,600 cm
457 mm = 4.57 cm
7.5 m = 0.0075 km
0.31 m = 310 mm
Which ones are it?
Answer:
310 mm 0.6 km = 6,000 m 457 mm = 4.57 cmStep-by-step explanation:
The statements 46 m = 4,600 cm, 0.31 m = 310 mm, 7.5 m = 0.0075 km and 0.31 m = 310 mm are correct conversations
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
We know that conversations 1km = 1000 m
1 cm = 10 mm
1 m = 100 cm
0.6 km = 6,000 m is not correct, as 0.6 km is 600m
46 m = 4,600 cm is correct.
0.31 m = 310 mm is correct
457 mm = 4.57 cm is incorrect, as 457 mm is 45.7 cm
7.5 m = 0.0075 km is correct
0.31 m = 310 mm is correct
Hence, the statements 46 m = 4,600 cm, 0.31 m = 310 mm, 7.5 m = 0.0075 km and 0.31 m = 310 mm are correct conversations
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Your cousin is building a sand box for his daughter
How much sand will he need to fill the box
how much paint does he need for the box
Answer:
volume of box(v)=l×b×h
=1×6×4
=24ft^3
so it required 24volume sand to fill the box
literally a goat if someone gives me an answer for this please
Answer: D, 100
Step-by-step explanation:
Answer: 100 (D)
Step-by-step explanation:
cuz
Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)
Answer:
2x-7, 2x-7=14, 2+7
Step-by-step explanation:
I am 99% sure these are correct
What is the value of x in the equation (2x + 1)1/3 + 3 = 6
Answer:
x = 4
Step-by-step explanation:
Choose all of the shapes that are used to create the net of a cylinder. circle triangle wedge rectangle
Answer:
trianglw
Step-by-step explanation:
Answer:
Two circles and a rectangle will make up a cylander.
Step-by-step explanation:
Have a good day! :)