Using simple interest, considering the parameters stated in the exercise, it is found that he will pay an interest of $153.16.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:
I = Prt
In which:
P is the initial amount.r is the interest rate, as a decimal.In this problem, the parameters are given as follows:
P = 2187.96, r = 0.035, t = 2.
Hence, the interest paid will be of:
I = Prt = 2187.96 x 0.035 x 2 = $153.16.
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hello help me with this question thanks in advance
Answer:
B. 98 ft
Step-by-step explanation:
x^2 + y^2 = z^2
z = sqrt(84^2 + 50^2) = 97.7 ft ~ 98 ft
B. 98 feet
Step by-step explanation:[tex]Solution:\ From\ question\\ 84\ feet\ long\ and\ 50\ feet\ wide\\ so\ he\ will\ run\ \sqrt{{84}^2+{50}^2}\ \approx98\ feet[/tex]
Find the values of x for which the denominator is equal to zero for 2x^2+5/x^2-2x .
x = 0, x = 2
x = 1, x = 2
none
x = 2
Let's see
[tex]\\ \rm\rightarrowtail x^2-2x=0[/tex]
[tex]\\ \rm\rightarrowtail x(x-2)=0[/tex]
[tex]\\ \rm\rightarrowtail x=0\:or\:x-2=0[/tex]
[tex]\\ \rm\rightarrowtail x=0\:or\:x=2[/tex]
[tex] \green{••••••••••••••••••••••} \blue{••••••••••••••••••••••••••}[/tex]
[tex] \sf {x^2 - 2x = 0} [/tex]
[tex] \sf {x ( x - 2) = 0} [/tex]
[tex] \sf {x = 0 \: or \: x-2 = 0} [/tex]
[tex] \sf \green{ {x = 0 \: or \: x = 2}} [/tex]
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Need help Please! Quick
Answer:
please see photo for details
Need help with this geometry question.What is HK?
Answer:
Step-by-step explanation:
use a protractor if you have one or ask for one
A rectangular prism has a length of 12 meters, a width of 3 meters, and a height of
meters
Enter the volume of the prism as a mixed number in simplest form in the box
meters
Answer:
Volume of Prism = 1/2×h×l×b
I think the formula will help you.
There is no Height, I think question is incomplete
Urgent need please hurry
find the equation of line that is parallel to another line whose equation is 8y+5x-6=0and passes through the point (8,5)
write down the equation of line perpendicular to y=7x/4+9/4 and passes through the origin
today is the deadline please help me
1. The equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).
2. The equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.
1. To find the equation of a line that is parallel to another line with equation 8y+5x-6=0 and passes through the point (8,5), we need to follow some steps.Steps:
First, find the slope of the given line, which can be done by rearranging the given equation into slope-intercept form (y = mx + b).8y+5x-6=0⟹ 8y = -5x + 6⟹ y = (-5/8)x + 3/4So the slope of the given line is -5/8.
Second, since we need to find a line parallel to the given line, the slope of the new line will also be -5/8.
Third, use the slope (-5/8) and the given point (8,5) to find the y-intercept (b) of the new line by using the point-slope form of the equation. y - y₁ = m(x - x₁)y - 5 = (-5/8)(x - 8)y = (-5/8)x + (65/8)
Therefore, the equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).
2. To write down the equation of a line perpendicular to y = 7x/4+9/4 and passes through the origin, we can follow some steps.
Steps:
First, find the slope of the given line. This can be done by rearranging the given equation into slope-intercept form (y = mx + b).y = (7/4)x + 9/4So the slope of the given line is 7/4.
Second, since we need to find a line perpendicular to the given line, the slope of the new line will be the negative reciprocal of the given line's slope.
Third, use the slope (-4/7) and the point (0,0) to find the y-intercept (b) of the new line by using the point-slope form of the equation.y - y₁ = m(x - x₁)y - 0 = (-4/7)(x - 0)y = (-4/7)x
Therefore, the equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.
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Answer:
8y +5x -80 = 0y = -4/7xStep-by-step explanation:
You want the equations of lines ...
parallel to 8y +5x -6 = 0, through point (8, 5)perpendicular to y = 7/4x +9/4, through the originParallel lineThe equation of a parallel line in general form can be written using the same coefficients, and choosing a constant that makes the equation true for the given point.
8y +5x +c = 0
8(5) +5(8) +c = 0
80 +c = 0
c = -80
The equation of the desired line is 8y +5x -80 = 0.
Perpendicular lineThe given equation is in slope-intercept form, so we can identify the slope as ...
y = mx +b = 7/4x +9/4
m = 7/4
The perpendicular line will have a slope that is the opposite reciprocal of this:
m' = -1/(7/4) = -4/7 . . . . . . slope of perpendicular line
The line through the origin will have a y-intercept of 0, so the equation in slope-intercept form is ...
y = -4/7x
__
Additional comment
The attached graph shows the given lines as dashed lines, and the requested lines as solid lines in the same color. The "must pass through" points are shown.
<95141404393>
Express the set using interval notation.
x≥1
Answer:
[1,∞)
Step-by-step explanation:
Brackets indicate equal to while parentheses indicate not equal to this bound.
hellllp meeeee need help, 100 points
Answer:
Step-by-step explanation:
View the attached graph for what your image should look like.
I hope this helps or gives you a picture of what it should look like, because it's quite a long process.
Hope this helps!
ratio of a rectangle's length to its width is 4:7. If the longer side is 31.5in., find the width, the perimeter, and the area of this rectangle.
Answer:
Step-by-step explanation:
Ratio of length : width = 4 : 7
Length = 4x
Width = 7x
Longer side = 31.5 in
⇒ 7x = 31.5
Divide both sides by 7
x = 31.5/7
x = 4.5
length = 4x
= 4*4.5
l = 18 in
width = 31.5
w = 31.5 in
[tex]\boxed{ \text {Perimeter of rectangle }= 2*l + 2*w}[/tex]
= 2*18 + 2*31.5
= 36 + 63
= 99 in
[tex]\boxed{ \text{Area of rectangle = l*w}}[/tex]
= 18*31.5
= 567 in²
simplify the expression 30x^6/3x^-2
Answer:
[tex]30x^{4}[/tex]
Step-by-step explanation:
trigonometric equations
2sin(theta) + 3 = 4
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) + 3 = 4[/tex]
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) = 4 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) = 1[/tex]
[tex]\qquad \sf \dashrightarrow \:\sin(x) = \frac{1}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 30 \degree \: \: or \: \: \frac{\pi}{6} \: rad[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
If 6/10 is multiplied by a fraction less than one what will be the product?
Answer:
If 6/10 is multiple by a fraction less then one the product would be 1/2
Step-by-step explanation:
6/10 is also equal to 0.6
If 0.6 is multipled by something less then one the product would not be able to be greater then 6/10
Resulting in 1/2 being the product.
Answer: All you gotta do is multiply 6x10 and then u get 60 so the product of of 6/10 is 60
Winston-Salem is halfway between Boone and Raleigh. Burlington is halfway between Winston- Salem and Raleigh. If Boone is located at the coordinates (-1,3) and Raleigh is at (-5, 9), what are the coordinates of Burlington?
Answer:
The answer is (-4, 15/2)
Step-by-step explanation:
Let the Boone be x, Winston-Salem be y, Raleigh be z and Burlington be m.
We are given that Winston-Salem is halfway between Boone and Raleigh. Burlington is halfway between Winston- Salem and Raleigh.
If Boone is located at the coordinates (-1,3) and Raleigh is at (-5, 9).
We will use Midpoint Formula
[tex]( \frac{x _{1} + x _{2}}{2} , \frac{y _{1} + y _{2}}{2} ) \\ [/tex]
Where,
x₁ = (-1) and x₂ = (-5)
y₁ = 3 and y₂ = 9
Now, We will find Co-ordinates of y i.e., Winston-Salem.
So,
[tex] ( \frac{( - 1) + ( - 5)}{2} , \frac{3 + 9}{2} ) \\ [/tex]
[tex]( \frac{( - 1 - 5)}{2} , \frac{12}{2} ) \\ [/tex]
[tex]( \frac{ - 6}{2} , \frac{12}{2} ) \\ [/tex]
[tex]( - 3,6)[/tex]
Here, The coordinates of y i.e., Winston-Salem is (-3, 6).
Now, We will find Co-ordinates of m i.e., Burlington.
So,
Again, Using of Midpoint Formula;
Where,
x₁ = (-3) and x₂ = (-5)
y₁ = 6 and y₂ = 9
So,
[tex]( \frac{( - 3) + ( - 5)}{2} , \frac{6 + 9}{2} ) \\ [/tex]
[tex]( \frac{( - 3 - 5)}{2} , \frac{15}{2} ) \\ [/tex]
[tex]( \frac{( -8)}{2} , \frac{15}{2} ) \\ [/tex]
[tex]( - 4 , \frac{15}{2} ) \\ [/tex]
Thus, The coordinates of Burlington is (-4, 15/2).
8. Which statement about quadrilateral is true? A All rectangles are always squares B. All trapezoids are always rhombuses C. All rectangles are always rhombuses. D. All rectangles are always parallelogram
Answer:
I think it's D. All rectangles are always parallelogram
Step-by-step explanation:
Please mark me brainliest if correct
Is ABSE- ATES? If so, identify the similarity postulate or theorem that
applies.
Select the correct answer.
Function m is the result of a transformation on the parent tangent function.
Answer:
C
Step-by-step explanation:
General equation of a tangent function is: y=atanb(theta-c)+d
Based on the graph, it moved pi/2 to the right.
So, the answer is C.
The result of a transformation on the parent tangent function is g(x) = tan( x - (π / 3 ). The correct option is C.
What is a parent function?A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family.
The general equation of a tangent function is represented as below:-
y=atanb(Ф-c)+d
Based on the graph, it moved π/2 to the right. Therefore, the result of a transformation on the parent tangent function is g(x) = tan( x - (π / 3 ). The correct option is C.
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Which equation represents the graphed function?
-3x + 2 = y
-2/3x+2=y
3/2x-3=y
2x-3 = y
The linear equation that represents the graph is 3/2x - 3 = y
Data;
-3 + 2 = y-2/3x + 2 = y3/2x - 3 = y2x - 3 = yLinear EquationFrom the given graph, we can see at the x-axis that the line touches at point 2 and at the y-axis, the line touches at point 3.
If we decide to multiply through by 3 to eliminate the fraction, the equation would look like this.
[tex]\frac{3x}{2} -3 = y\\2(\frac{3x}{2}) -3(2) = 2(y)\\3x - 6 = 2y[/tex]
Kindly find the attached image of the graph.
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a family makes gumbo to serve during jazz fest.the gumbo recipe requires twice as many cups of chopped tomatoes as diced onions.Which expression can be used to represent the number of cups of diced onions based on the number of cups of chopped tomatoes,t?
A) t^2
B)2+t
C) t÷2
D)2t
Answer:
D: 2t
Step-by-step explanation:
a coefficient next to a variable is an automatic multiplication equation
The solution is Option D.
The number of cups of diced onions A to the number of cups of chopped tomatoes t is represented by the equation A = 2t
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
A = total number of cups of diced onions
Let the total number of cups of chopped tomatoes be = t
Now , the recipe requires twice as many cups of chopped tomatoes as diced onions
Substituting the values in the equation , we get
A = 2t
where A = number of cups of diced onions
t = number of cups of chopped tomatoes
Therefore , the value of A is 2t
Hence ,
The equation will be A = 2t where t is the number of cups of tomatoes
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Help please!!! I don't understand
[tex]\left|x-\dfrac 12\right| = 3\dfrac 23\\\\\\\implies \left|x- \dfrac 12 \right| = \dfrac{11}3\\\\\\\implies x-\dfrac 12 = \dfrac{11}3 ~~~~~~~~~ \text{or}~~~~~~~ x - \dfrac 12 = - \dfrac {11}3\\\\\\\implies 2x -1 = \dfrac{22}3 ~~~~~~~~ \text{or}~~~~~~~~2x-1 =-\dfrac{22}3\\[/tex]
[tex]\implies x =\dfrac 12\left(\dfrac{22}3 +1 \right) ~~ \text{or}~~~~~~~~ x = \dfrac 12 \left(1-\dfrac{22}3\right)}\\\\\\\implies x = \dfrac{25}6~~~~~~~~~~~~~~~ \text{or}~~~~~~~~ x=-\dfrac{19}6\\\\\\\implies x = 4\dfrac 16 ~~~~~~~~~~~~~~~ \text{or}~~~~~~~~x = -3\dfrac16[/tex]
Need help with math probelm if do 5 stars and brainly points
Step-by-step explanation:
let's first convert feet to inches
4 ft = 48 inches ( width )
6.5 ft = 78 inches ( length )
12.5 ft = 150 inches ( height )
each cube is 1/4 x 1/4 x 1/4
x-axis ( length )
78 ÷ 1/4 = 78 x 4 = 312 cubes
y-axis ( width )
48 x 4 = 192 cubes
z-axis ( height )
150 x 4 = 600 cubes
the total number of cubes fit in the closet is :
312 x 192 x 600 = 35,942,400 cubes
jan saw 9 full moons in 252 days write each statement as a rate
what is a question that is easier to answer using a stem-and-leaf plot than a dot plot?
Answer:
steam plot
Step-by-step explanation:
because the stem plot is easy to use
Answer:
When you use large numbers and don't have categories.Step-by-step explanation:
Take these: 23, 27, 29, 35, 36, 41, 47, 48, 52. It is better as a stem and leaf.
---------------------------------------------------------------------------------------------------------
2 ][ 3 7 9
3 ][ 5 6
4 ][ 1 7 8
5 ][ 2
---------------------------------------------------------------------------------------------------------
If you use dot plot, it is recommended use amounts under 10.
The area of a rectangular wall of a barn is 160 square feet. Its length is 12 feet longer than the width. Find the length and width of the wall of the barn.
Answer:
Length: 20 feet
Width: 8 feet
Step-by-step explanation:
20 is 12 feet longer than 8
20 x 8 = 160
axis of symmetry f(x) = −4(x − 8)^ 2 + 3
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
For an equation in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex]. In this case, the axis of symmetry is the line [tex]x=8[/tex]
Each of 7 students reported the number of movies they saw in the past year. This is what they reported.
13, 8, 6, 6, 18, 11, 4
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.
(a) Median:
(b) Mean:
Answer:
A is 6
B is 9.4
Step-by-step explanation:
First you put the numbers in order. then you take the middle number of the data set. This is how you find the median. For the mean you add all of the number in the data set then divide by how many numbers are there
Find the measures of the interior angles?
Answer:
well it's says for a its 35° and B is 100° to find x it would be 180-(35+110)=x
Step-by-step explanation:
180-(35+110)=180-145=35. so x=35°
J=(7x+13) K=(83-2x) and the sum of the measures of the angles is 141. What is the measure of each angle
Answer:
j=76 and k=65
Step-by-step explanation:
[tex]j + k = 141 \\ 7x + 13 + 83 + - 2x = 141 \\ 96 + 5x = 141 \\ 5x = 141 - 96 \\ 5x = 45 \\ x = \frac{45}{5} \\ x = 9 \\ j = (7 \times 9 + 13) \\ j =76 \\ k = 83 - 2(9) \\ = 83 - 18 \\ = 65[/tex]
A triangle has side lengths of 18 in., 22 in., and 29 in. Is the triangle acute, obtuse, or right?
Acute
Obtuse
Right
None of the above
========================================================
Explanation:
We have a triangle with these side lengths
a = 18b = 22c = 29Computing a^2+b^2 gets us
a^2+b^2 = 18^2+22^2 = 808
Compare this to c^2
c^2 = 29^2 = 841
Because 808 < 841, this means a^2+b^2 < c^2
-------------------
We have three cases:
If a^2+b^2 > c^2, then the triangle is acuteIf a^2+b^2 = c^2, then we have a right triangleIf a^2+b^2 < c^2, then the triangle is obtuseFor more information, check out the converse of the Pythagorean Theorem.
Find the center and the radius of the circle.
(x-4)^2 + (y + 3)^2 = 74
Answer:
radius = [tex] \sqrt{74} [/tex]center = [tex](4,-3)[/tex]Step-by-step explanation:
We would like to calculate the centre and the radius of the circle . The given equation is ,
[tex]\longrightarrow (x - 4)^2+(y+3)^2=74 [/tex]
As we know that the Standard equation of circle is given by ,
[tex]\longrightarrow (x - h)^2+(y-k)^2=r^2[/tex]
where ,
[tex](x,y)[/tex] is a point on circle .[tex](h,k)[/tex] is the centre of circle .[tex]r[/tex] is the radius of the circle .We can rewrite the equation as ,
[tex]\longrightarrow (x-4)^2+\{ y -(-3)\}^2=(\sqrt{74})^2\\ [/tex]
Now on comparing to the standard form , we have ;
radius = [tex]r[/tex] = [tex]\sqrt{74}[/tex]center = [tex](h,k)[/tex] =[tex](4,-3)[/tex]Graph :-
[tex] \setlength{\unitlength}{7mm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\circle*{0.2}}\put(0.2, - .1){(4,-3)}\put(-1.2,0){\vector(0,1){5}}\put(-1.2,0){\vector(0, - 1){5}}\put(-1,0.7){\vector(1,0){5}}\put(-1,0.7){\vector( - 1,0){5}}\put(0,0){\line(-1,0){2.3}}\put( - 1.2,-0.7){$\sf \sqrt{74}$}\put(2,6){$\boxed{\sf \textcopyright \: RISH4BH }$}\end{picture} [/tex]
And we are done !
We are given the equation of circle (x - 4)² + (y + 3)² = 74 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;
So, consider the equation of circle ;
[tex]{:\implies \quad \sf (x-4)^{2}+(y+3)^{2}=74}[/tex]
Can be further written as ;
[tex]{:\implies \quad \sf (x-4)^{2}+\{y-(-3)\}^{2}=({\sqrt{74}})^{2}}[/tex]
On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows
Centre = (4, -3)Radius = √74 units