Let S = Sum after 13 years
So = amount invested
t = time in years
i = annual interest rate = .0325
The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21
X, Y, and Z are collinear and Y is between X and Z. If XY = 3x – 1, YZ = 5, and XZ = 5x – 8,
what is the value of x?
a. 6
b. 4
c. 10
d. 8
Answer:
6
Step-by-step explanation:
XY = 3x – 1, YZ = 5, and XZ = 5x – 8,
We know that XY + YZ = XZ, so
3x - 1 + 5 = 5x - 8
3x + 4 = 5x - 8
3x + 12 = 5x
12 = 2x
6 = x
The value of x from the given line segment XZ is 6. Therefore, the correct answer is option A.
Given that, X, Y, and Z are collinear and Y is between X and Z.
Collinear points are those that are on the same straight line or in the same plane. In Euclidean geometry, two or more points on a line that are close to or far from each other are said to be collinear.
So, here [tex]XZ=XY+YZ[/tex]
[tex]5x-8=3x-1+5[/tex]
[tex]5x-8=3x+4[/tex]
[tex]5x-3x=4+8[/tex]
[tex]2x=12[/tex]
[tex]x=6[/tex]
Therefore, the correct answer is option A.
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WHOEVER ANSWERS FIRST AND CORRECTLY GETS BRAINLIEST!
9y + 2 = 58; {4,5,6}
Please show your work.
A, Y=4
B, Y=5
C, Y=6
Answer:
Im pretty sure c Y=6
Step-by-step explanation:
9y+2=58
Subtract 2 from both sides.
9y=58−2
Subtract 2 from 58 to get 56.
9y=56
Divide both sides by 9.
y= 56/ 9 Which is Also 6.2
Factor 18r+12s. Write your answer as a product with a whole number greater than 1.
Answer:
6(3r + 2s)
Step-by-step explanation:
Find the gcf of 18 and 12, then divide both and put it inside the parentheses.
Could somebody please help with this math?
Answer:
87
Step-by-step explanation:
the slope is very easy you can solve it in easy way all you have to do is give me your phone
Systematic bias occurs when the way data are collected and measured is
inaccurate. These flawed data lead to unreliable results.
A. True
B. False
Can someone pls help me
Answer:
6π Km
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{120}{360}[/tex]
= 2π × 9 × [tex]\frac{1}{3}[/tex]
= 18π × [tex]\frac{1}{3}[/tex]
= 6π Km ← exact value
At which x-value does the cosine function attain a maximum value?.
Answer:
cos(x) = ???
so the maximum cosine can be is 1 and that happens when x = 0
I'm pretty sure that's what you meant...
The value of x where the cosine function attains a maximum value is 0.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Cosine function.
The value of cos 90° is 0.
The value of cos 0° is 1.
The value of cos 30° is √3/2.
The value of cos 60° is 1/2.
We see that the cosine function has the maximum value at zero degrees.
Thus,
Cos x has the maximum value at x = 0.
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this is the question.
solve (3.4)x(0.2)
Answer:
0.68
Step-by-step explanation:
Answer:
0.68
Step-by-step explanation:
y - 12 = 89
y - 12 +____
=89 + 12
y=?
Answer:101
Step-by-step explanation:
express the radical using the imaginary unit i
Answer:
[tex]i[/tex][tex]\sqrt{30}[/tex]
Step-by-step explanation:
[tex]\sqrt{-30}[/tex]
= [tex]\sqrt{30 * -1}[/tex]
= [tex]\sqrt{30} * \sqrt{-1}[/tex] Separate the two numbers into 2 radicals.
= [tex]i\sqrt{30}[/tex] Simplify, knowing that [tex]i = \sqrt{-1}[/tex].
my Christmas present to you
Answer:
thankss
Step-by-step explanation:
The image of a point k(-3,4) under a translation 5/2 is
Answer:
try to use automath, it really helps
What is the area of this figure?
Answer:
84mm
Step-by-step explanation:
square = LxW = 6x6 =36
triangle = bxh/2 = 6x8/2 =24
add together 24x2+36=84
i need help please!!!!
Answer:
not parallel.
Step-by-step explanation:
1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));
2) slope of AB: (7-3)/(2-1)=4;
3) slope of CD: (5-2)/(7-6)=3;
4) finally, AB∦CD (4≠3).
HELP ! Will give brainliest
Answer:
look it up thats what i do
Step-by-step explanation:
What is greater -5 1/2 or 6.5
Answer:
6.5
Step-by-step explanation:
What did the wall say to the bookcase 4. 2 puzzle time answers.
Answer:
meet you at the corner
Step-by-step explanation:
Why ain’t nobody helping?
Please help!! ASAP Simplify the expression and enter your answer below. ;)
Answer:
(17^1/7)^7 SIMPLIFIED is 498.26016735
1) If
[tex] \frac{1}{a + 1} + \frac{1}{b + 1} + \frac{1}{c + 1} = 2[/tex]
[tex]then \: {a}^{2} + {b}^{2} + {c}^{2} is[/tex]
Option :-
[tex]a) \frac{3}{4} [/tex]
[tex]b) \frac{1}{3} [/tex]
[tex]c) \frac{27}{16} [/tex]
[tex]d) \frac{4}{3} [/tex]
● NEED GENUINE ANSWER
●DON'T SPAM OTHERWISE ANSWER WILL BE REPORT
The sum of the square of the constants is 3/4
Given the equation [tex]\frac{1}{a+1} +\frac{1}{b+1} +\frac{1}{c+1} =2[/tex]
The partial form of the equation is given as:
[tex]\frac{1}{a +1} = 2\\[/tex]Solve for the constant "a"
[tex]\frac{1}{a +1} = 2\\a+1 = \frac{1}{2} \\a = \frac{1}{2} - 1\\a =-\frac{1}{2}[/tex]
Hence [tex]a=b=c=-\frac{1}{2} \\[/tex]
Taking the square of the constant, we will have:
[tex]a^2 + b^2 + c^2 =(-1/2)^2 +(-1/2)^2+(-1/2)^2\\a^2 + b^2 + c^2 =1/4 + 1/4 + 1/4\\a^2 + b^2 + c^2 =3/4[/tex]
Hence the sum of the square of the constants is 3/4
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Answer -the sum of the square of the consonants is 3/4
4. Match these equation balancing steps with the description of what was done in each step.
Step 1:
12x−6 =10 6x−3 =5
Step 2:
6x−3 =5 6x =8
Step 3:
6x =8 x =43
Descriptions to match with each step:
A: Add 3 to both sides
B: Multiply both sides by 16
C: Divide both sides by 2
Answer:
step 1 - C.
step 2 - A.
step 3 - B.
Solve for the x
[tex]\frac{36}{x}[/tex] = -9
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
[tex]:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}[/tex]
solve this
(below, in picture)
Somebody please help
Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line.
An arts academy requires there to be 4 teachers for every 100 students and 5 tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 144 standents?
Answer: 25 students per teacher and 12 students per tutor. They need 2.4 tutors for the school
HELP what is the slope
Answer:
D
Step-by-step explanation:
The line starts at 10 so I think it's that
Answer:
Slope of a line
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Step-by-step explanation:
Khan Academy
Slope review | Algebra (article) | Khan Academy
pls help .................
Answer:
Step-by-step explanation:
I'm guessing at this a bit.
The final score will depend on what is par for each hole and/or for the entire course. The scores for the first four rounds were all negative. That means Ko required fewer strokes to hit the hole than the number considered "par" for the course.
Let P stand for the Par of the course. Then the score for each round would be:
P-3
P-4
P-7, and
P-2
The sum: 4P - 16 is her score for the first four rounds. I have no clue if there are more than 4 rounds, but if there are, the equation would be:
For n rounds:
nP - ∑[tex]x_{n}[/tex]
where ∑[tex]x_{n}[/tex] is the sum of over/under pars for the n rounds.
A system of linear equations includes the line that is created by the equation Y = 0.5x-1 and the line through the
points (3, 1) and (-5, -7), shown below.
What is the solution to the system of equations?
A. (-6, -4)
B. (0, -1)
C. (0, -2)
D. (2, 0)
Step-by-step explanation:
the answer I think D should be
Answer:
The answer is (2,0)
Step-by-step explanation:
We know one equation [tex]y =0.5x - 1[/tex] and the other points (3, 1) and (-5, -7).
For the first step, we need to graph the equation we know, since the points already plotted, and therefore have its own line.
As we can tell it crosses over points (2,0) making this equation having exactly one solution.
Making the correct awnser D; (2,0)
how to turn x+7y=20 into y=mx+b
Answer:
y = -1/7x +20/7
Step-by-step explanation:
Solve for y.
7y = -x +20 . . . . . subtract x from both sides to get the y-term by itself
y = -1/7x +20/7 . . . . divide both sides by the coefficient of x
In this form, you can see ...
m = -1/7b = 20/7 = 2 6/7Answer:
y=-1/7x+20/7
Step-by-step explanation:
So they are asking us to put x+7y=20 into slop-intercept form (y=mx+b).
They're pretty much just asking us to solve for y.
x+7y=20
7x=20-x (Subtract x from both sides)
y=20-x/7 (Divide 7 on both sides to isolate y)
y=20/7-1/7x
y=-1/7x+20/7
So..
m=-1/7
b=20/7
Hope this helps :)
Just help me on 6 and 7 please
6) [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{5}{8} \\[/tex] = [tex]\frac{9}{4} . \frac{8}{5} = \frac{9.4.2}{4.5} =\frac{18}{5}[/tex]
7) [tex]2\frac{1}{2}[/tex] ÷ [tex]4\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] ÷ [tex]\frac{9}{2}[/tex] = [tex]\frac{5}{2} .\frac{2}{9}=\frac{5.2}{2.9} =\frac{5}{9}[/tex]
ok done. Thank to me :>
Which expression is equivalent to
Step-by-step explanation:
(cubic root (x²))⁶ = (x^2/3)⁶ = x^2×6/3 = x^12/3 = x⁴
