Using the formula for compound interest, the total amount in the account after 10 years, with no further deposits and 3 percent interest compounded weekly, is approximately $1615.65.
Explanation:This problem involves the concept of compound interest, specifically interest compounded weekly. To calculate the total amount in the account after 10 years, the formula for compound interest is used, which is A = P(1 + r/n)^(nt).
In this case, P, the principal amount, is $1200. The annual interest rate, r, is 3% or 0.03 when converted into decimal form. The number of times interest is compounded per year, n, is 52 weeks since interest is compounded weekly. Lastly, t stands for the number of years the money is invested or borrowed for, which is 10 in this instance. Plug these values into the formula to get the total amount after 10 years.
A = 1200(1 + 0.03/52)^(52*10) = $1615.65
So, if Hans makes no further deposits and the account earns 3 percent interest compounded weekly, the amount in the account after 10 years will be approximately $1615.65.
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Paulo is creating a confidence interval based on sample data for the percentage of Americans that own a dog. His work is shown below.
for some reason it won't let me add in the picture as an attachment or as anything. Basically its like this- E = 1.645 • .452(1-.452)/950
And then all of the .452 etc is in a little square root thing.
Based on Paulo’s work, what conclusion can be drawn from the sample data he collected?
Complete the statement to form the conclusion.
It can be said with
90% confidence that between 42.5% and 47.9% of Americans own a dog.
90% confidence that between 45.2% and 54.8% of Americans own a dog.
95% confidence that between 42.5% and 47.9% of Americans own a dog.
95% confidence that between 45.2% and 54.8% of Americans own a dog.
The answer is (A) but if someone wants to explain why it is (A) that would be awesome
Answer:
A. 90% confidence that between 42.5% and 47.9% of Americans own a dog.
Step-by-step explanation:
edgu 2020
the system without any solutions set is called a/an
Answer:
it's called an Expression I believe.
what are equivalent expression for 6x+1-(3x-1)
Answer:
3x + 2
Step-by-step explanation:
6x + 1 - (3x-1) < distribute the negative sign into the expression
6x + 1 -3x + 1 < combine like terms
6x - 3x = 3x
1 + 1 = 2
our simplified expression is:
3x + 2
Which net folds into the pyramid?
Choices are on the 2nd picture with letter
Answer:
the correct choice will be letter W
Step-by-step explanation:
im really really really confusedddd please help uwu
Answer:
17
Step-by-step explanation:
cm/year
cm=34
year=2
34/2=17
HEKP ASAP. BRAINLIEST TO FIRST CORRECT ANSWER.
Answers you can choose from:
(A) 5.0
(B) 6.5
(C) 7.0
(D) 8.5
A. Both triangles equal 50 and 10x5 is 50. Therefore, y=5.
23rd term:0.1,0.15,0.2,0.25
the answer to the 23rd term is 1.20
the working out is shown above in the attachment.
hope this helps
The 23rd term of the sequence [0.1,0.15,0.2,0.25...] is 1.2. This sequence is an arithmetic progression with a common difference of 0.05.
Explanation:This question is about finding the 23rd term in the sequence [0.1,0.15,0.2,0.25...]. This sequence represents a simple arithmetic progression where the typical difference between two consecutive terms is 0.05.
To find the 23rd term, you can use the formula for the nth term, an arithmetic progression, which is a+n*d where a is the first term, n is the term number, and d is the common difference. Therefore, the 23rd term is a + (n-1)*d equals 0.1 + (23-1)*0.05 = 1.2.
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How much more will 22,000 earn in interest than 14000 if both are invested in savings accounts with apys of 5.4% for a year?
Answer:
$432 more are earned by 22,000 than 14,000 if invested with apys of 5.4% for a year
Step-by-step explanation:
Total = [tex]P*(1+r)^t[/tex]
where P=Principal amount
r= rate
t= time
Using this formula for P= 22,000 and r = 5.4% or 0.054 and t= 1
Total = [tex]22,000*(1+0.054)^1[/tex]
Total = [tex]23,188[/tex]
Interest earned = 23,188 -22,000
Interest earned = 1,188
Using this formula for P= 14,000 and r = 5.4% or 0.054 and t= 1
Total = [tex]14,000*(1+0.054)^1[/tex]
Total = [tex]14,756[/tex]
Interest earned = 14,756 -14,000
Interest earned = 756
AS interest earned by 22,000 is 1,188 while interest earned by 14,000 is 756
so, 1,188 - 756 = 432.
So, $432 more are earned by 22,000 than 14,000 if invested with apys of 5.4% for a year
Answer:
$432
Step-by-step explanation:
A spinner is spun twice. it has a 3, 5, 7, & 9 on it. how many outcomes could produce a product greater than 21?
A / 11
B / 10
C / 12
D / 13
Answer:
A
Step-by-step explanation:
What numbers on both spins would create a PRODUCT GREATER THAN 21?
3 and 9
5 and 5
5 and 7
5 and 9
7 and 7
7 and 5
7 and 9
9 and 9
9 and 3
9 and 5
9 and 7
So, as we can see, we have 11 possibilities of getting a product GREATER than 21 (not 21...).
Correct answer A.
Precalculus Homework help please.
Answer:
see explanation
Step-by-step explanation:
(5)
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ cos²x = 1 - sin²x
Given
3sin²Θ + 2cos²Θ - 2
= 3sin²Θ + 2(1 - sin²Θ) - 2
= 3sin²Θ + 2 - 2sin²Θ - 2
= sin²Θ
(6)
Using the trigonometric identity
secx = [tex]\frac{1}{cosx}[/tex]
Consider the left side
[tex]\frac{cosx}{1-sin^2x}[/tex]
= [tex]\frac{cosx}{cos^2x}[/tex]
= [tex]\frac{1}{cosx}[/tex] = secx = right side ⇒ verified
(7)
Using the trigonometric identity
1 + cot²x = csc²x
Given
sin²x. cot²x + sin²x ← factor out sin²x from each term
= sin²x(cot²x + 1)
= sin²x. csc²x
= sin²x × [tex]\frac{1}{sin^2x}[/tex] = 1
What is the answer for x
Answer:
Its 14
Step-by-step explanation:
if bcde is congruent to OPQR, then BE is congruent to
What is the sum of 5x^2+3x-7 and 12x+12?
It’s 5x^2 + 15x + 5 ! :)
I need help on this too 1000%
Martina chose a random sample of 10 bags of candy from two different brands, A and B. All bags in the sample are the same size. Martina counts the number of candy pieces in each bag and plots the results on two dot plots.
A dot plot is shown. The title of the plot is Brand A. The line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled Number of Candy Pieces. There are 2 dots at 52, 1 dot at 53, 2 dots at 55, 1 dot at 56, 2 dots at 57, and 2 dots at 62.
A dot plot is shown. The title of the plot is Brand B. The line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled Number of Candy Pieces. There is 1 dot at 44, 1 dot at 46, 2 dots at 52, 1 dot at 55, 1 dot at 62, 1 dot at 65, 2 dots at 67 and 1 dot at 69
Based on the plots, which statement is a valid comparison of the number of candies in the bags of the two brands?
A. The number of candies in the bags from brand B is greater and more consistent than the number of candies in the bags from brand A.
B. The number of candies in the bags from brand B is greater and less consistent than the number of candies in the bags from brand A.
C. The number of candies in the bags from brand B is fewer and more consistent than the number of candies in the bags from brand A.
D. The number of candies in the bags from brand B is fewer and less consistent than the number of candies in the bags from brand A.
Answer:
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
On the dot plots we have a higher range of numbers in Brand B so the answer would be B
:)
An Angle whose measure is 40 is in standard position. In which quadrant does the terminal side of the angle fall?
ANSWER
First quadrant
EXPLANATION
An angle in standard position starts measuring from the positive x-axis anticlockwise.
Since 40° is less than 90°, it's terminal side will fall within the first quadrant.
Hence the terminal side of a 40° is in the first quadrant.
Answer:
A, Q 1
Step-by-step explanation:
Edge
help if you do help you get 98 points. :)
Answer:
Answer is C
pls give brainliest!
Answer:
Abraham Lincoln, the 16th president of the United States, was born on February 12, 1809 and died at the age of 56 on the 4th day of March 1861. Lincoln was the president of the United States for four years from 1861 to 1865. Lincoln was born in Hardin County in the state of Kentucky in a small cabin that only had one room. His parents, Thomas Lincoln and Nancy Hanks were farmers who had a large track of land that measured 348 acres on which their cabin was situated. His parents were uneducated, however.
Lincoln’s political career began in 1832 when he created a political campaign for a political party known as the Whig Party. This party was based on efforts that sought to improve navigation on the neighboring river. Ten years later, Lincoln married the love of his life, Mary Todd, with whom he had four sons. Unfortunately, only one of his four sons did not survive into adulthood. Lincoln’s participation in active national politics took a turn for the better in 1842 when he campaigned and was elected to the US House of Representatives.
Step-by-step explanation:
For circle O, mCD=125° and m
CA is a diameter of the circle, so [tex]m\widehat{AC}=180^\circ[/tex], which means [tex]m\angle AOB=m\angle AOD=m\widehat{AD}=180^\circ-m\widehat{CD}=55^\circ[/tex]. Then [tex]m\boxed{\angle ABO}=90^\circ-55^\circ=35^\circ[/tex].
This means [tex]m\angle CBO=55^\circ-35^\circ=20^\circ[/tex]. Also, if [tex]m\angle AOB=55^\circ[/tex], then [tex]m\angle BOC=180^\circ-55^\circ=125^\circ[/tex], which in turns tells us that [tex]m\boxed{\angle BCO}=180^\circ-20^\circ-125^\circ=35^\circ[/tex].
Answer:
In the figure, ∠ ABO and ∠ BCO have measures equal to 35°.
Step-by-step explanation:
Correct for plato
What is the absolute value of -8.2? What is the answer
Suppose you and some friends are going to the movies. The amount of money you spend for tickets varies directly with the number of people buying tickets. If you doesn’t $48 for six tickets, what is the constant of variation?
Answer:
8
Step-by-step explanation:
Find the product of 50 minus 5 and 4 divide by 2.
Answer:
47.5
Step-by-step explanation:
50-5+4 =49
49/2 = 24.5
Answer:
40
Step-by-step explanation:
I need to find the missing numbers
Answer:
b11 = -14
b12 = 9
b13 = 8
Step-by-step explanation:
* Lets revise some notes to solve the problem
- Any matrix has a dimension m × n, where m is the number of rows
and n the number of columns
- We can add matrices with same dimensions
* Now lets solve the problem
∵ [tex]B+\left[\begin{array}{ccc}15&-7&4\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}1&2&12\\4&0&2\end{array}\right][/tex]
- Let [tex]B=\left[\begin{array}{ccc}b11&b12&b13\\b21&b22&b23\end{array}\right][/tex]
∴ [tex]\left[\begin{array}{ccc}b11&b12&b13\\b21&b22&b23\end{array}\right]+\left[\begin{array}{ccc}15&-7&4\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}1&2&12\\4&0&2\end{array}\right][/tex]
- Lets add and find the missing
* Lets start with the first rows
∵ b11 + 15 = 1 ⇒ subtract 15 from both sides
∴ b11 = -14
∵ b12 + -7 = 2 ⇒ add 7 to both sides
∴ b12 = 9
∵ b13 + 4 = 12 ⇒ subtract 4 from both sides
∴ b13 = 8
* Now lets start with the second rows
∵ b21 + 0 = 4
∴ b21 = 4 ⇒ given
∵ b22 + 1 = 0 ⇒ subtract 1 from both sides
∴ b22 = -1 ⇒ given
∵ b23 + 2 = 2 ⇒ subtract 2 from both sides
∴ b23 = 0 ⇒ given
The rectangular prism is to be slices perpendicular to the shaded face and is to pass through point B , parallel to the front face . What will the dimensions of the rectangular cross section be
Answer:
10 centimeters by 18 centimeters
Step-by-step explanation:
we know that
The rectangular cross section is parallel to the front face
That means-----> The dimensions of the cross section are congruent with the dimensions of the front face
The dimensions of the front face are 10 centimeters by 18 centimeters
therefore
The dimensions of the cross section are 10 centimeters by 18 centimeters
Answer:
C.) 10 centimeters by 18 centimeters
Step-by-step explanation:
What is the value of x?
A) 3
B) 2
C) 1
D) 4
I believe the answer is A) 3
Answer:
A.) 3
Step-by-step explanation:
If you plug in the options for x you get different numbers on both sides. A.) is the only answer were you get same numbers, 11.
Hope this helped!
Solve this system of equations using
the substitution method.
y = 3x + 9
y = 5x – 3
I need the answer for X and Y
Answer: Please Mark Brainliest :) !!
The answer is x= 6 and y= 27.
Step-by-step explanation:
3x + 9 = 5x + 3
-2x + 9 = -3
y = 5x -3
x = 6
y = 5x -3
y = 5(6) -3
y = 27
First, when solving for x, you would need to make one of the equation into standard form, which would be Ax + By = C. So, I'm going to use y = 5x -3.
y = 5x - 3 || subtract -5x on both sides from the equal sign
5x + y = -3 || there you have one equation in standard form
Now, all you have to do now is substitute the y-intercept form equation into the standard form equation. As you can see, you would substitute the y-intercept form into the y in the standard form equation.
5x + y = -3
5x + 3x + 9 = -3 || combine like terms
8x + 9 = -3 || subtract 9 on both sides from the equal sign
8x = 6 || divide by 8 on both sides from the equal sign
x = 0.75 || final answer for x
Then for solving y, take any equation in y-intercept form and substitute with the x in the equation, which I'm going to use y = 3x + 9 in this case.
y = 3x + 9 || substitute with x
y = 3 (0.75) + 9 || multiply 3 and 0.75
y = 3.75 + 9 || add 3.75 and 9
y = 12.75 || final answer for y
Thus, x = 0.75 and y = 12.75.
13. Write a function with a zero of 1/2. Explain how you know.
Answer:
The function is [tex]f(x)=2x-1[/tex]
Step-by-step explanation:
If a function has a zero of [tex]\frac{1}{2}[/tex].
The we can write [tex]x=\frac{1}{2}[/tex].
We need to work backwards to obtain the function:
We multiply through by 2 to get:
[tex]2x=1[/tex].
This implies that:
[tex]2x-1=0[/tex]
Hence a function with such zero is [tex]f(x)=2x-1[/tex]
Answer:
The function is [tex]f(x)=4x-2[/tex]
Step-by-step explanation:
That a function has a zero at a certain number x means that [tex]f(x)=0[/tex]
Let's see an example,
If we have [tex]f(x)=x+2[/tex] (this is what we call function)
and we choose any value for the x,
x = 3
Now we replace it in our function
[tex]f(3)=3+2[/tex]
[tex]f(3)=5[/tex] (this is the image of 3)
Now if we say that x = -2, and replace it in our function
[tex]f(-2)=(-2)+2[/tex]
[tex]f(-2)=0[/tex] , this means that our function has a zero at x = -2
We can find the zeros of our function equaling it to zero and clearing the x, let's see
[tex]x+2=0[/tex]
[tex]x=-2[/tex] this means that our function has a zero at x = -2
To find a function that has a zero at [tex] \frac{1}{2}[/tex] , let's think that the result must be [tex]f(x)=0[/tex]
If we have 4 and multiply it by 1/2.
[tex]4)(\frac{1}{2})=2[/tex], now we subtract 2 from this result
[tex]-2 = 0[/tex] , the complete process would be
[tex]4)(\frac{1}{2})-2=0[/tex], we said that [tex] \frac{1}{2}[/tex], then
[tex]4x-2[/tex], now we write it as a function
[tex]f(x)=4(x)-2[/tex] we know that by replacing the x by 1/2 the result will be zero, which means that [tex] \frac{1}{2}[/tex] is zero of this function
(20 POINTS) Please show all of your work.
Solve.
x^2+5x-6=0
Answer:
x = -6 or x = 1Step-by-step explanation:
[tex]x^2+5x-6=0\\\\x^2+6x-x-6=0\\\\x(x+6)-1(x+6)=0\\\\(x+6)(x-1)=0\iff x+6=0\ \vee\ x-1=0\\\\x+6=0\qquad\text{subtract 6 from both sides}\\x=-6\\\\x-1=0\qquad\text{add 1 to both sides}\\x=1[/tex]
Answer:
x = -6 or 1
Step-by-step explanation:
x² + 5 x - 6 = 0
Factors = -6 , 1
Sum = 5
Product = -6
x ( x + 6 ) - 1 ( x + 6 ) = 0
( x + 6 ) ( x - 1 )
x + 6 = 0
x = -6
x - 1 = 0
x = 1
Kyle drew 4 polygons labeled A,B,C, and D. Figure A has twice as many sides as Figure B. Figure B has 3 vertices. Figure C has half as many sides as figure D. Figure D has 8 vertices. Name each polygon Kyle draw.
Answer:
Figure A - hexagon
Figure B - triangle
Figure C - rectangle
Figure D - octagon
Step-by-step explanation:
If figure B has 3 vertices (angles), then that means it is a triangle (3 sides)
So that means figure A has 6 sides, (hexagon)
And figure D has 8 vertices, so 8 sides (octagon)
And if C has half as many, that would be 4 (rectangle)
Which of the following uses the Distributive Property to determine the product 12(185) Question 6 options: a) 12(100) + 12(13) b) 12(18) + 12(5) c) 12(1) + 12(8) + 12(5) d) 12(100) + 12(80) + 12(5)
Answer:
d) 12(100) + 12(80) + 12(5)
Step-by-step explanation:
According to the distributive property, if a,b, c, and d are real numbers, then
a(b+c+d)=ab+ac+ad
We want to find the product 12(185).
We can expand 185 as 100+80+5
Our product then becomes;
[tex]12(185)=12(100+80+5)[/tex]
We expand using the distributive property to get;
[tex]12(185)=12(100)+12(80)+12(5)[/tex]
The correct choice is D
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
12(185)
Firstly we can write
185=100+80+5
So, it will be rewritten as
12(100+80+5)
As we know that distributive law that implies
a(b+c+d)=ab+ac+ad
So, according to distributive law, it becomes,
12(100)+12(80)+12(5)
Hence, option 'd' is correct.
If two dice are placed end to end, which shape have the dice formed?
A) cone
Reactivate
B) cylinder
C) polygon
D) prism
will mark brainliest if correct and give 50 pts.
Answer:
D
Step-by-step explanation:
It would be D.) Prism, since a dice have no curves they cannot be a cylinder or cone, a polygon is 2D and dice are 3D, and once put together they create a 3D rectangle, also known as a rectangular prism.
what are paralellograms
Answer:
what are paralellograms------------>a four-sided plane rectilinear figure with opposite sides parallel.
mark me brainliest
Step-by-step explanation:
Final answer:
A parallelogram is a four-sided polygon with opposite sides that are both parallel and equal in length. It also has opposite angles that are equal.
Explanation:
A parallelogram is a four-sided polygon with opposite sides that are both parallel and equal in length. It also has opposite angles that are equal. In other words, if you take any two opposite sides of a parallelogram and extend them indefinitely in both directions, they would never intersect.
Parallelograms have several properties:
Opposite sides are parallel and equal in length.Opposite angles are equal.Consecutive angles are supplementary, meaning they add up to 180 degrees.Diagonals bisect each other.