Rewrite the percentage as a decimal:
1.5% = 0.015
Multiply by the amount of the overdraft:
50 x 0.015 = 0.75
The interest is $0.75
What is 3/4 + 1/3 ?
* 15p*
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
2x - 4y = 4
x - 2y = 8
Answer:
x = 5
y = - 3/2
Step-by-step explanation:
[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]
The augmented matrix is :
[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]
Now; to Row operations
Swap row 2 to row 1
[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]
Multiply row 1 with 2 and add to row 2 ;
1(2) = 2
-2(2) = -4
8(2) = 16
2 +2 = 4
4 +(-4) = 0
16+ 4 =20
Now; we have:
[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]
changing row 2 back to equation form:
4x + 0y = 20
4x = 20
x = 20/4
x = 5
substituting x = 5 in row 1
x - 2y = 8
5 - 2y = 8
-2y = 8 -5
-2y = 3
y = - 3/2
what is the value of x?
Answer:
you need a d/protector to do this
Step-by-step explanation:
Choose all of the terms that can be used for x in a function.
Answer:
Eg.y=3x
Step-by-step explanation:
Answer:
Eg.y=3x
Step-by-step explanation:
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).
How do the areas of the parallelograms compare?
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is equal to the area of parallelogram 2.
The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
Answer:
The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
Step-by-step explanation:
Hope this helped :)
Answer:
A
Step-by-step explanation:
(10 points!!) help please
Answer:
66
Step-by-step explanation:
What type of function best models the data in this table? Justify your reasoning.
x 2 5 8 11 14 17
y 16 25 34 43 52 61
Answer:
The function that models the data in this table would be a linear function.
Step-by-step explanation:
161-52=9
7-14=3
9/3=3
52-43=9
14-11=3
9/3=3
Please help! Its one of my last! Please include steps as well since i have to show work. I will give brainliest.
Answer:
600 sq mm
Step-by-step explanation:
I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape
area of rectangle= b x h
so, 15x30=450mm (square)
area of triangle= b x h (divided) 2
so, 10x30=300 (divided) by 2
= 150mm (square)
so, 450 (plus) 150= 600mm (square)
Melanie had 4 2/3 pounds of chopped walnuts. She used 1 1/4 pounds in a recipe. How many pounds of chopped walnuts did she have left?
Answer:
Step-by-step explanation:
To make the denominator the same on both sides you need to multiply 1/4 by three and make it 3/12 and multiply 2/3 by four to get 8/12 and then you just subtract to get 3 5/12
Answer: 3 5/12
Step-by-step explanation:
What are the coordinates of point K?
(-
)
()
Answer:5/8 and 1/4
Step-by-step explanation:
The coordinates of point K can be given by (-1/4, 5/8).
What are cartesian coordinates?Cartesian coordinates are the values on a graph that can be used to show the location of a point on the graph.
The coordinates of point K can be found as follows:There are 4 lines between 0 and -1 on the x-axis which divide it into 4 equal parts.
Point K lies on the first line. This means that the x-coordinate of the point is -1/4.
There are 8 lines between 0 and 1 on the y-axis which divide it into 8 equal parts.
Point K lies on the fifth line. This means that the y-coordinate of the point is 5/8.
From this, we can understand that the coordinates of the point K on the graph can be given by (-1/4, 5/8).
Therefore, the coordinates of point K can be given by (-1/4, 5/8).
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Which is the better buy: one gallon of orange juice for $2.72 or four quarts of
orange juice at $0.48 per quart?
0.48 per quart is better
Step-by-step explanation:
0.48x4=1.92 < 2.72
Factor the polynomial.
125x^3+27
Answer: (5x+3) (25x^2-15x+9)
(5x + 3) (25x^2-15x + 9)
whats the constant of the function?
Answer:
-4
Step-by-step explanation:
Finding a Linear Regression Model
Warm-Up
Find a linear function that models the data in the table
2
y
f(x) =
-4
-6
-1
-1
0
1
2
4
3
7
Answer:
f(x) = 1.8x + 1
Step-by-step explanation:
I graphed the table on the graph below and found the equation of the line.
If this answer is correct, please make me Brainliest!
ASAP!!
consider the diagram below.
which of the following is the value of x?
a- 2
b- 11
c- 20
d- 29
Answer:
(CHOICE C)
X= 20
Step-by-step explanation:
SOLVE FOR X AND USE 45* ANGLE FOR HELP.
Points A, B, and C are plotted on the unit circle.
Which of the coordinates is equal to cos(160)?
Answer:
Point B is equal to cos(160)
Step-by-step explanation:
160 deg is 160 deg counter-clockwise angle from +x-axis.
Hope this helps!
:)
Answer:
x coordinate of point B
Step-by-step explanation:
yw
y=|x| (What is the range of this function?)
Answer:
Any number both positive or negative.
y = {all numbers}
Step-by-step explanation:
Answer:Any number both positive or negative.
Step-by-step explanation:y=(all numbers)
Find the total surface area of the prism
Answer:
217 sqft
Step-by-step explanation:
the total area can be divided into 6 parts:
2 triangles, 2 rectangles(height 5, length 8) and 2 rectangles(height 7, length 8)
Therefore the area can be calculated as :
2* (1/2* 5*5) + 2*5*8+2*8*7 = 217 sqft
Which expression is equal to 420−−√−345−−√?
115√
−115√
5√
−5√
Answer:
[tex]-\sqrt{5}[/tex]
I hope that this helps anyone in the future! I took the test and got a good grade thanks to the anwser above
you and your friend are walking through town. there is a building making a 90 degree angle with the ground and you are standing 40ft away looking up and a 30 degree angle. how tall is the building?
Answer:
tan 30 = height of building / 40
height = 40 × 1/√3=40/√3
or = 23.1 feet
given that DEF XYZ , what is the measure of z? brainly
Answer:
77
Step-by-step explanation:
So first off, we know that those two triangles are congruent triangles, so those have the same measures. All angles have the same measures. We also know that all angles equal to 180 degrees.
So imagine putting them together:
So then you do 57+ 46=103
180-103=77
Hence the measure of z is 77 degrees
Can someone help me find the evaluation for #20 I need to show my work
A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
v=5x(72)(4) 4°
v-}*(417)
V = 38(72)(4) ft
V = 3x(42)(7)
V = one-third pi (4 squared) (7) feet cubed
Step-by-step explanation:
Volume of cone v = 1/3×π(r²h)
r = 4 and h = 7
V = 1/3 × π(4²×7)
So B
Mental Math
Solve
119*121
Answer:
14399
Step-by-step explanation:
break it down yall
119=100+19
121=100+21
100*100=1000
19*21=4399
add em up
Please help me with this question I will mark you as the best answer if correct
Answer:
Line : y = ax + b, passes (0, 3) and (2, -3)
=> b = 3
=> 2a + b = -3
=> a = -6/2 = -3
=> Slope a = -3
=> Option D is correct
Hope this helps!
:)
Answer:
D is the answer
Step-by-step explanation:
Slope = rise / run
Slope = y2-y1 / x2-x1
Where coordinates are
(0,3),(2,-3)
So x1=0,y1=3 , x2=2 , y2= -3
Slope= -3-3/ 2-0
Slope = -6/2
Slope = -3
Which are the roots of the quadratic function f(q) = 02 - 125? Select two options.
O q = 5/5
O q = -5/5
q=3/5
q = -3/5
q=25/5
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Name the natural regions in Texas.
Answer:
the Gulf Coastal Plains, the Great Plains, the North-Central Plains and the Basin and Range.
Step-by-step explanation:
Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5
please help rn
Answer:
18
Step-by-step explanation:
3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.
3*3 + (5+2*8) - 12
9 + (5 + 16) - 12
9 + 21 - 12
30 - 10 - 2
20 - 2
18
Answer:
18
Step-by-step explanation:
First what you would do is plug in the numbers.
3x3+(5+2x8)-12
Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.
3x3+(21)-12
Then you add 3 times 3 and get 9.
9+21-12
Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going on the
field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the
population. Which was most likely true of the representative sample?
VA
The representative sample contained all 160 students,
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls,
Save and Exit
Next
Submit
Mark this and retum
Answer:
The representative sample contained more girls than boys.
Step-by-step explanation:
A "sample" of something is a small part of it. A "representative sample" is a small part of the students that represents them all. A random sample would not include all 160 students. It is more likely that there would be more girls than boys, than more boys than girls. In total, there are more girls than boys: 95 girls to 65 boys. It is more likely that a sample of the total students would be just like the total, but smaller.
Mr. Smith plans to build a 3-foot-wide walkway
around the outside of the cabin, as shown in the floor
plan. What will be the area, in square feet, of the top
surface of the walkway?
A. 171
B. 324
360
396
720
Answer:
360
Step-by-step explanation:
The area of the top surface of rectangular cabin walkway is given by the equation A = 360 feet²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular cabin be represented as A
Now , the initial length of the cabin = 30 feet
The initial width of the cabin = 24 feet
And , Mr. Smith plans to build a 3-foot-wide walkway around the outside of the cabin
So , the increased length of the rectangular cabin = 30 + 6 = 36 feet
The increased width of the rectangular cabin = 24 + 6 = 30 feet
Now , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of rectangular cabin A = 36 x 30
Area of rectangular cabin A = 1080 feet²
Now , the area of the cabin before increment of sides = 24 x 30
The area of the cabin before increment of sides = 720 feet²
So , the area of the walkway = 1080 - 720 = 360 feet²
Area of rectangular cabin walkway A = 360 feet²
Hence , the area of the rectangular cabin walkway is 360 feet²
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