Answer:
Bank One is offering a simple interest rate of 6.25% per annum.
Step-by-step explanation:
Given that Bank One offers a certificate of deposit that pays $ 5,000 in four years for exchange for $ 4,000 today, to determine what interest rate is Bank One offering the following calculation must be performed:
(5000 - 4000) / 4 = X
1000/4 = X
250 = X
4000 = 100
250 = X
250 x 100/4000 = X
25000/4000 = X
6.25 = X
Therefore, Bank One is offering a simple interest rate of 6.25% per annum.
A carpenter bought 850 nails. Each nail
has a mass of 5.2 x 10-3 kg. What is the total
mass, in kilograms, of the nails the carpenter
bought. Express your answer as a decimal.
Answer:
4.42
Step-by-step explanation:
5.2 x 10-3 multiplied by 850. I got it right on my assignment
The mass of the 850 nails is 442 x 10⁻² kilograms.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
A carpenter bought 850 nails.
Each nail has a mass of 5.2 x 10-3 kg.
To find the total mass:
Use multiplication operation,
850 x 5.2 x 10⁻³
= 4420 x 10⁻³
= 442 x 10⁻²
Therefore, the mass is 442 x 10⁻² kilograms.
To learn more about the multiplication;
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In the data set y = 7, 1, 5, 2, 5, 5, what is the frequency of 5?
Answer:
3
Step-by-step explanation:
Frequency of a data set is the number of teams it appears, and thus, the frequency of 5 in this set is 3.
plz answer this question without links and files :)
Answer:
The relationship between the y coordinates in table a and b is that they are parallel to each other on the graph.
Step-by-step explanation:
I have no idea what they are asking for I'm sorry
ANSWER FAST
1. x+7=16
2. 19=x-6
What is the 7th term of the geometric sequence below?
7, -14, 28, -56....
A 448
B. -896
C. 448
D. 896
The 7th term of the given geometric sequence is equal to: A. 448.
Given the following sequence:
7, -14, 28, -56....What is a geometric sequence?A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.
Mathematically, a geometric sequence is given by the expression:
[tex]a_n =a_1r^{n-1}[/tex]
Where:
r is the common ratio.[tex]a_1[/tex] is the first term of a geometric sequence.Substituting the given parameters into the formula, we have;
[tex]a_{7} =7 \times -2^{7-1}\\\\a_{7} =7 \times -2^{6}\\\\a_{7} =7 \times 64[/tex]
7th term = 448.
Read more on geometric sequence here: brainly.com/question/12630565
Find the height of the flagpole to the nearest meter. *
40
33
20
27
Answer:
Option 4
Step-by-step explanation:
From the given figure,
Measure of an angle = 34°
Adjacent side of the given angle = 40m
We have to find the length of the opposite side.
By applying tangent rule in the given right triangle,
tan(34°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
Opposite side = Adjacent side × tan(34°)
= 40 × 0.6745
= 26.98 m
≈ 27 m
Therefore, height of the flagpole is approximately 27 m.
Option 4 will be the answer.
Use the shapes to answer the questions that follow:
Answer:
50%
Step-by-step explanation:
Theres 10 shapes and 5 of them are yellow. So that is 5/10 which equals 50%
hope this helps <3
Answer:
50%
Step-by-step explanation:
5/10 are yellow so 5% I think
2. What is the length of PR?
P
R
45
7.
Answer:
Step-by-step explanation:
cos 45 = 7/x
x cos 45 = 7
x = 7/cos 45
x= 7 sqrt(2)
About 0.34 of the length of a cat is its tail. Write this decimal as a percent.
As part of the Pew Internet and American Life Project, researchers conducted two surveys in late 2009. The first survey asked a random sample of 800 U.S. teens about their use of social media and the internet. A second survey posed similar questions to a random sample of 2253 U.S. adults. In these two studies, 73% of teens and 47% of adults said that they use social networking sites. Use these results to construct and interpret a 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites.
Answer:
The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.
Step-by-step explanation:
Before building the confidence interval we need to understand the central limit theorem and the subtraction of normal variables.
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Sample of 800 teens. 73% said that they use social networking sites.
This means that:
[tex]p_T = 0.73, s_T = \sqrt{\frac{0.73*0.27}{800}} = 0.0157[/tex]
Sample of 2253 adults. 47% said that they use social networking sites.
This means that:
[tex]p_A = 0.47,s_A = \sqrt{\frac{0.47*0.53}{2253}} = 0.0105[/tex]
Distribution of the difference:
[tex]p = p_T - p_A = 0.73 - 0.47 = 0.26[/tex]
[tex]s = \sqrt{s_T^2+s_A^2} = \sqrt{0.0157^2+0.0105^2} = 0.019[/tex]
Confidence interval:
Is given by:
[tex]p \pm zs[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound:
[tex]p - 1.96s = 0.26 - 1.96*0.019 = 0.223[/tex]
Upper bound:
[tex]p + 1.96s = 0.26 + 1.96*0.019 = 0.297[/tex]
The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.
How much larger is the volume of a triangular prism when you double the height of the prism?
9514 1404 393
Answer:
2 times
Step-by-step explanation:
Other things remaining the same, the volume of any prism is proportional to its height. If you double the height, it is like having two prisms of the same size. The volume doubles. The new volume is 2 times the original volume.
10 ft area of base 62ft 2 (squared)
Answer:
12
Step-by-step explanation:
Find X.
A. 27.2
B. 12.9
C. 30.3
D. 17.8
Answer: 27.2
Step-by-step explanation:
[tex]\sin 54^{\circ}=\frac{22}{x}\\\\x \sin 54^{\circ}=22\\\\x=\frac{22}{\sin 54^{\circ}} \approx \boxed{27.2}[/tex]
Fifty seven percent (57%) of the students applying to a university are accepted. In other words, there is a 57% probability of being accepted. A sample of 12 applicants has been selected. Using Excel, answer the questions below. Please, round your solutions to 4 decimal places (if your answer has less than 4 decimals, it is okay to leave it as it is).
72f-12g=96
6f-2g=10
Solve the equations
Answer:
(f, g) = (1 , -2)
Step-by-step explanation:]
Hope this helps!
Answer:
(0,-5)(0,-8)
Step-by-step explanation:
The triangle shown below has an area of 20 units squared. Find the missing side if the height is 8
Answer:
5 unitsStep-by-step explanation:
Lets keep the missing side as x
And we also know that the area of Triangle is,
[tex] \frac{1}{2} bh[/tex]
So taking this into consideration we can write a linear equation like this,
[tex] \frac{1}{2} bh = 20[/tex]
Where height is 8,
[tex] \frac{1}{2} \times b \times 8 = 20 \\ 4 \times b = 20 \\ b = \frac{20}{4} \\ b = 5[/tex]
So therefore the missing side is 5
My faces are not all
congruent.
I contain 12 edges.
I contain 6 faces.
Answer:
its a rectangle
Step-by-step explanation:
Use the figure to answer the question. 8 8 What is the area of the shaded region of the circle in terms of a? Enter the answer in the box. The area of the shaded region is f units squared.
Answer:
48pi
Step-by-step explanation:
pi x 8² - pi x 4²
64pi - 16pi
48pi
Solve for x. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 49 degree as reference angle
using cos rule
cos 49=adjacent/hypotenuse
0.65=x/16
16*0.65=x
10.4=x
PLEASE HELP!!! If you desire please help me with this algebra grade 6 classkick please!
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Answer:
C, 108 ft²
Step-by-step explanation:
To solve, we need to find the area of each of the shapes and then add them together.
The top rectangle's area: 8 * 3 = 24
The left triangle: 3 * 4 * 0.5 = 6
The middle rectangle: 8 * 4 = 32
The right triangle: 4 * 3 * 0.5 = 6
The bottom rectangle: 5 * 8 = 40
Add them all together.
24 + 6 + 32 + 6 + 40 = 108 ft²
Thus, the answer is C, 108 ft²
Anyone know the answer ?
Answer:
C
Step-by-step explanation:
The mean is 6.41428571429
please help!!
options are:
A. Point in quadrant 1
B. Point in negative x-axis
C. Point in quadrant 2
9514 1404 393
Answer:
A. Point in quadrant 1
Step-by-step explanation:
As x increases, the lines get closer together. The two lines will meet in Quadrant 1 at one point.
The solution set is one point in quadrant 1.
What is it < > or =
1000kg 100000 g
9514 1404 393
Answer:
>
Step-by-step explanation:
1 kg = 1000 g
Multiplying by 1000, you have ...
1000 kg = 1,000,000 g
1,000,000 g > 100,000 g
The appropriate relation symbol is >.
Consider the equation: 6x+55=x^2
1) Rewrite the equation by completing the square.
2) What are the solutions to the equation?
Answer:
1. x² - 6x + 9 = 55 + 9
x²-6x+9 = 64
2. (x-3)² = 64
x- 3 =+-8
x= 3+8 or 3 -8
x = 11 or 5
A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.
A sphere is inside of a cube. The cube has side lengths of 9 units.
Which expression represents the volume, in cubic units, of empty space in the cube?
Four-thirdsπ(4.53) – (4.5)3
(9)3 – Four-thirdsπ(4.52)
Four-thirdsπ(4.53) – (9)3
(9)3 – Four-thirdsπ(4.53)
Answer:
D
Step-by-step explanation:
The volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.
What is a sphere?It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
A sphere with a diameter of 9 units fits exactly in the clear glass cube.
Diameter = 9 units
The radius r = 9/2 units
The volume of the sphere:
[tex]\rm V = \dfrac{4}{3} \pi (9/2)^3[/tex]
[tex]\rm V = \dfrac{4}{3} \pi (4.5)^3[/tex]
The volume of cube = a³
a is the side length
The volume of the cube = (9)³
The volume, in cubic units, of empty space in the cube:
[tex]=(9)^3- \rm \dfrac{4}{3} \pi (4.5)^3[/tex]
Thus, the volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.
Learn more about the sphere here:
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Bx=3y-9 what is the value of b
Answer:
I believe it is 6xy
Step-by-step explanation:
This is because we don't know the value of x and y but we know that 9-3 = 6
Answer: B= 3y-9/x
Step-by-step explanation:
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Answer:
9/22
Step-by-step explanation:
= 1 /2 − 1 /11
= 1 /2 + −1 /11
= 11 /22 + −2 /22
= 11+−2 /22
= 9 /22
(Decimal: 0.409091)
Answer:
9/22
Step-by-step explanation:
multiply 1 by 11, and get 11
multiply 1 by 2, and get 2.
Next we give both terms new denominators -- 2 × 11 = 22
11 − 2 = 9
What is 70 percent of 1872
Answer:
1310.4
Step-by-step explanation:
1872 x 0.7 = 1310.4
Answer:
1310.4
Step-by-step explanation:
Multiply 70% by 1872 or .70×1872
what is the volume of 4 1/2 x 11 x 71/4
Answer:
The volume is 878.625
Step-by-step explanation:
First you can convert the mixed numbers and fractions into decimals to make life so much easier. 4 1/2 = 4.5 and 71/4 =17.75
Then simply mulitply 4.5 x 11 x 17.75 and get 878.625
