2.71 is your answer
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Diego deposited \$ 10,000$10,000 for 44 years at a rate of 6\%6% simple interest. Find the amount of interest Diego earned after four years.
Answer:
$2,400
Step-by-step explanation:
Note: The correct years is 4 not 44
The Principal = $10,000
Time period = 4 years
Rate = 6 % p.a.
Simple Interest = Principal * Rate * Time
Simple Interest = $10,000 * 6% * 44
Simple Interest = $2,400
So, the amount of interest Diego earned after four years is $2,400
In ΔKLM, the measure of ∠M=90°, LK = 5, KM = 3, and ML = 4. What ratio represents the cosine of ∠K?
Find the x of a triangle.
This triangle is an isosceles triangle because it has two congruent sides. Therefore, the two bottom angles are also congruent. And, the sum of the interior angles of a triangle is 180 degrees.
180 = 104 + (9x - 25) + (9x - 25)
180 = 104 + 18x - 50
180 = 54 + 18x
126 = 18x
x = 7
Hope this helps!
please help I will give brainliest
Answer:
the second one I think it is the second one
Question in the image
Answer:
0.4
Step-by-step explanation:
consider this like some lines overlapping each other.
one line (A) is 0.5 long, the other (B) 0.4 long.
together they are 0.8 long.
that means that they overlap at a length of 0.1 (they share a segment 0.1 long).
of the combined line of 0.8 that has 0.1 of a joined segment, the complimentary part of B is therefore 0.4 (0.8 minus the original length of B).
Please help me!!
I just don’t understand it!!
Answer:
(12, 2 )
Step-by-step explanation:
Given (x, y ) on the graph of f(x) , then on the inverse function
(x, y ) → (y, x ), then
(2, 12 ) → (12, 2 ) ← point on g(x) the inverse function
Find the vertex of the function y = (1/5)x^2 + (4/5)X + 1/5
A. (-2, 1)
B. (2, 1)
C. (2, -1)
D. 12/5, 1)
Answer:
(-2, -3/5) IS THE CORRECT ANSWER
Step-by-step explanation:
The vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).
To find the vertex of the quadratic function in the form y = ax² + bx + c, we can use the formula:
x = -b / (2a)
y = f(x) = ax² + bx + c
For the given function y = (1/5)x² + (4/5)x + 1/5,
a = 1/5
b = 4/5
c = 1/5
Now we can find the x-coordinate of the vertex:
x = -b / (2a)
= -(4/5) / (2 x (1/5))
= -4/5 / (2/5)
= -4/5 x 5/2
= -4/2
= -2
To find the y-coordinate, substitute the value of x
y = (1/5)(-2)² + (4/5)(-2) + 1/5
= (1/5)(4) + (-8/5) + 1/5
= 4/5 - 8/5 + 1/5
= -3/5
Therefore, the vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).
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A rectangular field is 16m broad and the ratio of the length and breadth is 3:2.
1.find the length of the field
2.find the perimeter of the field
3.find the area of the field.
Answer:
x = length of the rectangle = 24 m
Perimeter of the field = 80 m
Area of the field = 384 square meter
Step-by-step explanation:
Width of the rectangle = 16 m
Ratio of the length and width = 3:2
Let
x = length of the rectangle
Ratio of the length and width = x : 16
Equate both ratios
x : 16 = 3 : 2
x/16 = 3/2
Cross product
x * 2 = 16 * 3
2x = 48
x = 48/2
x = 24
x = length of the rectangle = 24 m
Perimeter of the field = 2(length + width)
= 2(24 m + 16 m)
= 2(40 m)
= 80 m
Perimeter of the field = 80 m
Area of the field = length × width
= 24 m × 16 m
= 384 m²
Area of the field = 384 square meter
Just Question B!
One of the numbers in the diagram is chosen at random, find the probability that the number is in set B, giving your answer as a decimal.
Gibing brainlist!
Answer:
0.4 or 0.40
Step-by-step explanation:
There are 10 total numbers. 4 of them are in set B.
So, 4/10 are in set B.
The probability is 0.4 because 4 divided by 10 is 0.4.
a man invested 800.00in a bank at a simple interest rate of 5% per annum .Find his total amou year
Answer:
£840
Step-by-step explanation:
800 × 1.05 = 840
(1.05 Is the decimal multiplier = (100% + 5%)/100)
Write the equation of the line parallel to =12−6 that passes through (2,−3).
Answer:
y=2-3
Step-by-step explanation:
using a calculator
The equation of line a is y=3/4x-3 If line b runs parallel to line a and passes
through (-4,5), what would be the equation of line b?
Answer:
y = -4/3 x - 1/3
Step-by-step explanation:
y = -4/3 x + b
5 = -4/3 (-4) + b
15 = 16 + 3b
b = -1/3
y = -4/3 x - 1/3
The equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.
To find the equation of line b, which is parallel to line a and passes through the point (-4,5), we need to use the fact that parallel lines have the same slope.
Given that line a has the equation y = (3/4)x - 3, we can determine its slope. The slope of line a is the coefficient of x, which is 3/4.
Since line b is parallel to line a, it will also have a slope of 3/4.
Using the slope-intercept form of a linear equation (y = mx + b), we can substitute the slope and the coordinates (-4,5) into the equation to solve for the y-intercept, b.
5 = (3/4)(-4) + b
Simplifying, we have:
5 = -3 + b
Adding 3 to both sides, we find:
b = 8
Therefore, the equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.
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what is 3 to the power of -2
Answer:
Step-by-step explanation:
To make a negative exponent positive, you have to put the term the exponent is on under a 1.
[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]
helpppppp meeeeeeeer
At the movie theatre, child admission is $5.70 and adult admission is $9.50, 146 tickets were sold for a total sales of $1075.40. How many adult tickets were sold that day?
Answer:
x = number of children tickets sold = 82 tickets
y = number of adult tickets sold = 64 tickets
Step-by-step explanation:
Let
x = number of children tickets sold
y = number of adult tickets sold
x + y = 146 (1)
5.70x + 9.50y = 1075.40 (2)
From (1)
x = 146 - y
Substitute x = 146 - y into (2)
5.70x + 9.50y = 1075.40 (2)
5.70(146 - y) + 9.50y = 1075.40
832.2 - 5.70y + 9.50y = 1075.40
- 5.70y + 9.50y = 1075.40 - 832.2
3.8y = 243.2
y = 243.2/3.8
y = 64
Substitute y = 64 into (1)
x + y = 146
x + 64 = 146
x = 146 - 64
x = 82
x = number of children tickets sold = 82 tickets
y = number of adult tickets sold = 64 tickets
PLEAS I NEED HELP WITH THIS ONE FAST MY DEAD LINE IS IN TEN MINUTES
Answer:
copper ?? the "slope" is 8.75
Step-by-step explanation:
Use the elimination method to solve the system of equations.
A. (1.5,-8)
B. (-6,-13)
C. (0,0)
D. (4.5,-6)
Answer:
(4.5,-6)
Step-by-step explanation:
[tex]2x-3y = 27\\4x+3y = 0[/tex]
6x = 27
x = 27/6=4.5
9-3y = 27
-3y = 18
y = -6
A standard six-sided die is rolled $6$ times. You are told that among the rolls, there was one $1,$ two $2$'s, and three $3$'s. How many possible sequences of rolls could there have been? (For example, $3,2,3,1,3,2$ is one possible sequence.)
Answer:
Step-by-step explanation:
Answer:
Sequence = 120
Step-by-step explanation:
Given
6 rolls of a die;
Required
Determine the possible sequence of rolls
From the question, we understand that there were three possible outcomes when the die was rolled;
The outcomes are either of the following faces: 1, 2 and 3
Total Number of rolls = 6
Possible number of outcomes = 3
The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;
Sequence = \frac{6!}{3!}
Sequence = \frac{6 * 5 * 4* 3!}{3!}
Sequence = 6 * 5 * 4
Sequence = 120
Hence, there are 120 possible sequence.
Step-by-step explanation:
Hope this helps
What is the vertex form of the quadratic function that has a vertex at (5, 4)
and goes through the point (6, 1)?
O A. y= (x - 5)2 + 4
B. y=-3(x - 5)2 + 4
C. y = 3(x - 5)2 + 4
O D. y = 5(x - 5)2 - 3
Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{(-6, -4), (4, -8), (-6, 9), (1, -3)\}{(−6,−4),(4,−8),(−6,9),(1,−3)} \{(1, -1), (-5, 7), (4, -9), (-9, 7)\}{(1,−1),(−5,7),(4,−9),(−9,7)} \{(8, -9), (-3, -6), (-4, 4), (1, -5)\}{(8,−9),(−3,−6),(−4,4),(1,−5)}
Answer:
[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]
Step-by-step explanation:
Given
[tex]\{(5, -9), (6, -6), (-3, 8), (9, -6)\}[/tex]
[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]
[tex]\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}[/tex]
[tex]\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}[/tex]
Required
Which is not a function
An ordered pair is represented as:
[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}[/tex]
However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)
From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.
In parallelogram LMNO, what is the measure of angle M? please helppppp
Answer:
80 degrees
Step-by-step explanation:
First find the the angles N and L:
5x=3x+40
2x=40
x=20
m<N= 100 m<L=100
Now we know that the sum os all Interior angles of a parallelogram is 360
and you know that opposite sides are equal
hence,
2y= 360-2(100) y being angle M (or o)
2y= 160
y=80
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway.
2. What is the area of the figure below. Simplify.
Answer:
x^2 - 9
Step-by-step explanation:
length = 2x - 6 = 2(x-3)
Area = [2(x-3) * (x + 3)]/2 = (x-3)(x+3) = x^2-9
Answer: x = 9
2x -6= x +3
2x -x= 3 +6
x= 9
Here is the distribution of blood types from a group
of randomly selected people:
o
А
B
AB
Blood
Type:
Probability:
0.49
0.27
0.20
?
What is the probability of type AB blood?
Describe the solution of h(x) shown in the graph.
a parabola opening up passing through negative 1 comma zero, zero comma negative 2, and 2 comma zero
A. All solutions that lie on h(x)
B. All real solutions
C. All whole number solutions
D. All positive solutions
Answer:
Step-by-step explanation:
This is a reading question. You have to know what all the terms mean.
B: is the first one you have to think about. All real solutions. Is that the answer, or do you have to think about it more. The key word is solutions. So that takes in A. So B is the answer.
A is the second best answer. Any solution has to be on the blue line. The blue line is the visual record of what works in B. Well, why not pick A? It is because B is more general, and it includes A.
C More than whole numbers solve this question. The line is continuous.
D There are negative solutions as well. Not the answer.
Answer:
the answer is A. All solutions that lie on h(x)
i took the test
Step-by-step explanation:
Find the measure of the missing angle using the triangle angle sum theorm.
Convert the percentage into a fraction,
3%=
100
Answer:
3% = 0.03 = [tex]\frac{3}{100}[/tex]
Answer: 3/100
Step-by-step explanation:
3%=0.03=3/100
Have a great day!!
Find the distance between each pair of points whose coordinates are given. Round to the nearest tenth if necessary.
Answer:
5.8
Step-by-step explanation:
Y e s .
Using the Distance formula and all.
A student drops their notes and their papers scatter. The fact that the papers scatter and do not remain neatly stacked is an illustration of :
Answer:
-- increase in entropy
-- second law of thermodynamics
Step-by-step explanation:
The 1st law of thermodynamic states that there is conservation of energy, i.e. we cannot create energy and we cannot destroy energy also in an isolated system.
The given example is not a representative of the 1st law.
The [tex]\text{2nd law of thermodynamics}[/tex] states that there is a natural tendency of an isolated system to [tex]\text{degenerate}[/tex] into a more [tex]\text{disordered state.}[/tex] Before dropping the notes and papers were in an isolated ordered system.
After dropping the papers scattered and did not remain in a stack position. It moves into a more disordered state.
Begore dropping down the notes and papers, they were in a stable position, i.e. no kinetic energy is there. No randomness when the notes and the papers were dropped. There is an increase in kinetic energy. There is randomness among the molecules by bombardment. So there is an increase in entropy.
Thus, above illustrations represents :
an increase in entropythe second law of thermodynamicsHow do I write 4(3x+2)-9 in written form?
Answer:
12x-1
Step-by-step explanation:
First, you would have to distribute. Would mean to multiply the 4 with every number in the parenthesis.
4(3x+2)-9
12x+8-9
Now combine like terms
8-9 = -1
The answer is 12x-1
Step-by-step explanation:
4 times 3x+2 subtracted by9
hope it helps
stay safe healthy and happy.