On solving the provided question, we can say that net annual cost of the given account is 18
What is an equation?equation: a statement stating the equality of two expressions having variable- and/or number-filled expressions. Since equations are essentially questions, finding a way to answer them has spurred the development of mathematics.
Net annual cost is that monthly fee X 12 + fee per check X number of checks per month X 12
\(= ($3.75 X 12) + ($0.25 X22 X 12)\\ = $111\)
Net annual cost is service charges - Interest earnings
\(= ($15 X 3) - (0.06 X $600 X 9 / 12)= $18\)
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. Look at the figure. In degrees, what
is the angle measure of the shaded
part?
Answer:
80%
Step-by-step explanation:
the graph shows the location of a bank in a library each Square on the graph represents one block which path can be taken to go from the bank to the library
Since the graph shows the location of a bank and a library, a path which can be taken to go from the bank to the library is: A. 3 blocks to the right and 5 blocks down.
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
By translating the coordinate of the bank vertically downward by 5 units and horizontally right by 3 units, the coordinates of the library include the following:
(x, y) → (x + 3, y - 5)
Coordinate of bank = (3, 7) → Coordinate of bank' (3 + 3, 7 - 5) = (6, 2)
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Complete Question:
The graph shows the location of a bank and a library. Each square on the graph represents one block. Which path can be taken to go from the bank to the library?
3 blocks to the right and 5 blocks down.
5 blocks to the right and 3 blocks up.
3 blocks to the right and 5 blocks up
5 blocks to the right and 3 blocks down
2/3 divided by 1 1/3
Answer:
fraction form: 2/11
decimal form: 0.1818181818
Which of these strategies would eliminate a variable in the system of equations? \begin{cases} 6x + 5y = 1 \\\\ 6x - 5y = 7 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 6x+5y=1 6x−5y=7 Choose all answers that apply: Choose all answers that apply: (Choice A) A Add the equations. (Choice B) B Subtract the bottom equation from the top equation. (Choice C) C Multiply the top equation by 777, then subtract the bottom equation from the top equation.
Answer:
Option A and B are correct
Step-by-step explanation:
We have to add here
6x+5y=1.
6x-5y=7
sow e will get 12x=8 , x=8/12=2/3
Option A is correct.
If We substract bottom from furst then
6x+5y=1
-6x+5y=-7
10y=-6
y=-6/10=-3/5
we put y=-3/5 in any equation and find x
6x+5(-3/5)=1
6x=4
x=4/6=2/3
So Option B also correct.
the are of the circle below is 28.26 ft. squared. What is the diameter
Answer: 8.06 Inches
The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.
What is the sum of \-2 and \-18
Answer:
-20
Step-by-step explanation:
-2 + -18 = -20
Which inequality represents the graph shown below?
A number line between negative 5 and 5 is shown with an open circle at negative 2 and a ray drawn to the right of negative 2.
A. x –2
D. x ≥ –2
Answer:
x > -2
Step-by-step explanation:
An open circle (unshaded) which starts at -2 and drawn to the right means that the possible values of x do not include -2. Possible values of x are greater than -2, upwards.
Therefore, the inequality to use in representing the information displayed by the graph is x > -2.
This means possible values of x are greater than -2.
Find the 89th term of the arithmetic sequence
-13, -8, -3
Answer:
427
Step-by-step explanation:
first you have to find the difference between -13 and -8 so we do -13 minus -8 which gives us -13 +8 which is -5. so -13+5=-8 then we try plugging in 5 to the next two numbers -8+5=-3 so the pattern is +5 so now we can do 5*88=440 so now we do -13+440=427
Francesca wants to
convert 1 cubic foot to cubic centimeters. Use
what you know about customary units to explain
how she can do this.
The value of 1 Cubic Foot is said to be 28316.85 Cubic Centimeters.
A cubic foot is a unit used to measure the volume of a cube with one foot-long sides. It is a unit to measure a unit volume and is symbolically represented as \(ft^{3}\). It is primarily used in the customary and imperial systems of measurement in the United States.
The volume of a cube with sides that are each one centimeter long is measured in cubic centimeters. It is a unit for measuring a unit volume that is symbolically represented as \(cm^{3}\) and is typically used to measure lower volumes.
Conversation: The value of 1 cubic foot is approximately equal to 28316.85 cubic centimeters. So, to convert cubic feet to cubic meters, we have to multiply the given foot value by 28316.85 cubic centimeters.
Hence 1 Cubic Foot = 28316.85 Cubic Centimeters.
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HELP ASAAAP
This scatter plot shows the recommended number of hours of sleep for people and their ages.
The equation represents the linear model for this data.
y=−0.25x+13
According to the model, what is the recommended amount of sleep for a 25-year-old person?
According to the model, the recommended amount of sleep for a 25-year-old person is equal to 6.75 hours of sleep.
What is a line of best fit?In Mathematics and Statistics, a line of best fit is also referred to as a trend line and it can be defined as a statistical or analytical tool that is typically used by researchers and mathematicians in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.
Based on the scatter plot, we can logically deduce that a linear equation which represents the line of best fit include the following:
y = -0.25x + 13
For a 25 years old person, the recommended hours of sleep can be calculated as follows;
y = -0.25x + 13
y = -0.25(25) + 13
y = -6.25 + 13
y = 6.75 hours of sleep.
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Give me a long sum using bodmas which equals 6
Answer:
Step-by-step explanation:
2 x 12 - (9 - 3) x 2 / 2
Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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¿Qué interés produce s/ 72,000 al 5% anual en 1 año, 1 mes, 10 días?
Answer: 3,988.8
Usaremos la fómula: I = C * i * n
I = 72 000 * 0.05 * (1 año + 1 mes + 10 día)
I = 72 000 * 0.05 * (1 + 0.08 + 0.0028)
I = 72 000 * 0.05 * 1.108
3,988.8
Step-by-step explanation:
Podemos obtener el interés que produce un capital con la siguiente fórmula:
I = C * i * n
Ejemplo: Si queremos calcular el interés simple que produce un capital de 1.000.000 pesos invertido durante 5 años a una tasa del 8% anual. El interés simple se calculará de la siguiente forma:
I = 1.000.000 * 0,08 * 5 = 400.000
Si queremos calcular el mismo interés durante un periodo menor a un año (60 días), se calculará de la siguiente forma:
Periodo: 60 días = 60/360 = 0,16
I = 1.000.000 * 0,08 * 60/360 = 13.333
Espero te ayude :3
Is Triangle B a rotation of Triangle A?
Explain How u know
Answer:
No, triangle B is a reflection of triangle A.
Step-by-step explanation:
The points of triangle A are reflected across the dotted line. So as a result triangle B is a reflection of triangle A.
Answer:
No
Step-by-step explanation:
Its a reflection because even if you did rotate it it would never be in that orientation.
Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin.Horizontal axis and passes through the point (9, −4)
Answer:
\(x=\frac{9}{16}y^2\)Step-by-step explanation:
Since the vertex of the parabola at the origin (h,k) is (0,0). The standard form of the parabola is represented as:
\(\begin{gathered} x=a(y-k)^2+h \\ \end{gathered}\)If the parabola passes through the point (9,-4), we can substitute for (x,y) and (h,k) and solve for ''a.'' and determine the equation:
\(\begin{gathered} 9=a(-4-0)^2+0 \\ 9=a(16)+0 \\ a=\frac{9}{16} \\ \end{gathered}\)Then, the equation of the parabola in standard form would be:
\(x=\frac{9}{16}y^2\)Susan has 600 feet of fencing to use in making a yard for her new puppy. The yard she has
planned has a length that is 75 feet less than twice the width. What are the dimensions of the
yard?
Answer:
Length = 175
Width = 125
Step-by-step explanation:
P=2(L+W)
600ft=2(L+W)
300=L+W
300=2W-75ft+W
375=3W
125=W
L=2W-75
L=2(125)-75
L=250-75
L=175
PLEASE HELP!!!! SHOW ME HOW YOU GET THE ANSWER
Find the area of the sector formed by central angle
θ
in a circle of radius
r
if
θ
=
2
;
r
=
6
m
Answer: 0.2pi
Step-by-step explanation:
1. Find the area of the entire circle
2. Set up a proportion that compares the relationship of the Area of sector and the Area of circle to the Arc measure and the circle measure
3. Solve!
I need help with this 1 question. Please help
Answer: x = 56
Step-by-step explanation:
The angle horizontally adjacent from 73 is also equal to 73 due to the triangle being isosceles (the legs are given as equal). Therefore the other angle in that triangle has to be 180 - (73*2) = 34. This angle is a part of the 90 degree angle that is noted in the figure. The other part of that angle must be 90 - 34 = 56. Since this angle is in another isosceles triangle, the angle horizontally adjacent to it must also be 56. x is equal to this angle by definition of vertical angles, so x = 56.
4) Cindy works part-time and earns $5.75 an hour. One week she worked
38 hours, How much money did she earn in that one week
Answer:
$218.50
Step-by-step explanation:
5.75×38=218.5
turn into dollars $218.50
Solve the following equation for y. -19x +2y = 7
Answer:
\(-19x +2y = 7\)
\(2y = 7 + 19x\)
\(y = \frac{7 + 19x}{2} \)
On a map, the scale shown is 1 inch : 5 miles. If
a wildlife refuge is 50 square miles, what is the
area of the refuge on the map?
Use the proportion to solve for x.
1 in. 2
25 mi2
x in. ²
50 mi²
Cross
multiplication
can help!
=
The area of the wildlife refuge is [?] square
inches on the map.
Enter
Answer:
Step-by-step explanation:
6
Can you help me find the solution to this problem
2^2+2x-4=0
Answer:
2²+2x-4=o
4-4+2x=0
2x=0
x=0/2=0
Answer:
x=0
Step-by-step explanation:
Basically you’re using PEMDAS to solve this, and 0/2 is 0
can sum1 help and explain how to do this i don’t understand it
Answer:
yes
Step-by-step explanation:
RASENGANNNNNNNNNNNN
Answer:
simplified
4+x
Step-by-step explanation:
3+(x+1)
actually is only 3+x+1
3+x+1
simplified
4+x
15.3
21. A squirrel is standing on the branch of a tree. The angle of elevation from a point on the ground to the squirrel
is 48°. The ground distance from the point to the tree is 28ft. How high above the ground is the squirrel?
Round your answer to the nearest foot.
48⁰
28 ft
21
Answer:
The height of the squirrel is 31 feet.
Step-by-step explanation:
You need to know your Right Triangle Trigonometry to do this problem.
Rt Triangle trig is all about ratios. Angles and ratios.
In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.
tan Angle = opposite/adjacent
tan 48° = x/28
multiply both sides by 28
28•tan48° = x
You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"
Enter 28 × tan48° =
It will return 31.0971504152
Your question asks you to round to the nearest whole.
x = 31
The squirrel's height in the tree is 31ft.
I am a parallelogram. Two of my sides are parallel to the bottom of the paper. The endpoints of the bottom side are at (2, 5) and (9, 5). The slope of the line segments that form my two sides is 0.75, and the length of each side is 5 units. What are my other two vertices?
According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).
How to find the vertices of the parallelogram?To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,
m = slope(x1, y1) = point on the lineFor the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = 0.75(x - 2)Simplifying, we get:
y = 0.75x + 3.5To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:
y = 0.75(7) + 3.5 = 8Therefore, the vertex at the top right of the parallelogram is (7, 8).
For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = -0.75(x - 9)Simplifying, we get:
y = -0.75x + 11.25To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:
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the top teams speed for each leg is 56.81, 59.22, 57.39 and 60.11. whats the best time
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
A scientist has two solutions what she has labeled solution a and solution b each contains salt she knows that solution a is 60% salt and solution b is 85% salt she wants to obtain 70 ounces of a mixture that is 80% salt how many ounces of each solution should she use
Solving a system of equations we can see that:
She needs to use 56 oz of the 85% solution.She needs to use 14 oz of the 60% solution.How many ounces of each solution should she use?We can use the variables:
x = mass of the 60% solution.
y = mass of the 85% solution.
We can write a system of equations.
x + y = 70
x*0.6 + y*0.85 = 70*0.8
We can isolate x on the first equation to get:
x = 70 - y
Replace that in the other one:
(70 - y)*0.6 + y*0.85 = 70*0.8
Now we can solve this for y.
y*0.25 = 70*0.8 - 70*0.6
y = 14/0.25 = 56
Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.
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why does my teacher gripe at me so much, she needs to understand that i have more on my plate then oddsey ware
Answer:
Your teacher must really like there job then.
Answer:
I think ur teacher loves it job
Step-by-step explanation:
Hope it helps u
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