Answer:
Below in bold.
Step-by-step explanation:
You do not say if the interest is simple or compound.
Simple Interest: I = PRT/100
= (8600* 2.6 * 4)/ 100
= $894.40.
Compound Interest:- amount after 4 years
= 8600(1 + 0.026)^4
= $9529.89
So the compound interest
= 9529.89 - 8600
= $929.89.
Solve the equation |x + 6|= |x– 12|. Graph the solutions, if possible.
Answer:
x=3
Step-by-step explanation:
Answer:
Step-by-step explanation:
|x+6|=|x-12|
x+6=±(x-12)
when x+6=x-12
6=-12
which is impossible hence rejected.
x+6=-(x-12)
x+6=-x+12
x+x=12-6
2x=6
x=6/2=3
so x=3
R is the midpoint of AM. If RA = x2 - 16x and MR = 80, find x.
Answer:
x = - 4 or x = 20
Step-by-step explanation:
Given R is the midpoint of AM, then
RA = MR , substitute values
x² - 16x = 80 ( subtract 80 from both sides )
x² - 16x - 80 = 0 ← in standard form
(x - 20)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 20 = 0 ⇒ x = 20
x + 4 = 0 ⇒ x = - 4
A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area? A parallelogram has a base of 3 units and an area of 1.8 square units. What is the corresponding height for that base? A parallelogram has an area of 20.4 square units. If the height that corresponds to a base is 4 units, what is the base?
Answer:
for first parallelogram
Area of parallelogram = b*h= 3.5*2= 7square unit
for second parallelogram
Area of parallelogram = b*h = 1.8 square unit
or, 3*h = 1.8
h= o.6unit
For third parallelogram
Area of parallelogram = b*h = 20.4square unit
4*b= 20.4
b=5.1 unit
Step-by-step explanation:
Find AC if AB = 17 and BC = 9
Answer:
ANSWER:-
Step-by-step explanation:
AB+BC=AC
17+9
=26 is the answer.
Evaluate 0 × |-6|. ......
Answer:
0
Step-by-step explanation:
Any value multiplied by zero equals zero , thus
0 × | - 6 | = 0
The 0 × 6 equals 0.
To evaluate the expression 0 × |-6|, to determine the absolute value of -6, which is 6 since the absolute value of a negative number is its positive counterpart. Next, we multiply 0 by 6.
When multiply any number by zero, the result is always zero. This is because zero represents the absence of quantity or value. Therefore, regardless of the value multiply by zero, the product will be zero. multiplying 0 by 6 yields zero as the final result. So, 0 × |-6| equals 0. This is because no matter the value of |-6|, the presence of a zero factor makes the overall product zero.
To know more about equals here
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Find the domain and range of the following absolute value functions. 1 _____ f(x) = |x+6| I’ll mark u the brainliest to whoever answer first
x = > R
y = > [ 0 , infinity )
Step-by-step explanation:Domain :
f ( x ) = | x + 6 |
Clearly we can put any value for f ( x )
x = > R
Range :
Using input restriction:
For min of x = - 6
y belongs to [ 0 , infinity )
Hence we get answer.
7. What is the sign of c:d, c>0 and d<0?
POSITIVE
O NEGATIVE
ZERO
Answer:
It would be c>0
Step-by-step explanation:
4y-8-2y=4
2x+7=x-1
-3x+7=x-1
2x-1-1=x-3-(-5+x)
10=x+6+2x
3+3x-(x-2)=3x+4
-4+3x-1=2x+1+2x
-(x+3) = 2x-6
no need for an explanation just please answer then I need help for every single one
Answer:
Use the given functions to set up and simplify .
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Step-by-step explanation:
HELP ME PLEASE I NEEED THIS <33
Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees
-5x + 4 = 2x + 16
How do I solve this
Would someone mind giving me the answer?
I WILL GIVE BRAINLIEST!!!!! Consider the scenario below. This morning Haidar noticed that her dog, Aldi, seemed unwell. She took him to the vet, where he was diagnosed with an ear infection. The veterinarian prescribed an antibiotic called amoxicillin to help Aldi feel better. Haidar will give Aldi 150 mg of the antibiotic once each day for 10 days. Each time Haidar gives Aldi his next dose of medication, 40% of the previous dose remains in his bloodstream. Use what you know about recursive sequences and iteration to explore the mathematics related to this scenario. 1. Determine the amount of medication that is in Aldi’s bloodstream after Haidar gives him each of the 1st, 2nd, 3rd, and 4th doses of amoxicillin. Show your work.
Answer:
225 mg remain in Aldi bloodstream
Step-by-step explanation:
150mg of amoxicillin was given daily for 10 days equals 1,500
of the 1500-40% =600mg
600mg divided by 4 days = 225mg still in blood stream
Simplify. 3x – 8(x + 4)
Answer:
-5x - 32
Step-by-step explanation:
Use distributive rule : a(b + c) = ab + ac
3x - 8(x + 4) =3x + x*(-8) + 4*(-8)
= 3x - 8x - 32 {combine like terms}
= -5x - 32
Which expression is 5y - 9x + 21y equivalent to after being simplified?
20y + 9x, 26y - 9x, -9x - 16y, or 30xy
Answer:
[tex]26y-9x[/tex]
Step-by-step explanation:
[tex]5y-9x+21y[/tex] Add 21y and 5y.
Hope this helps, have a great day:)
Which linear function has the same y-intercept as the one that is represented by the graph?
Answer:B is the answer
Step-by-step explanation:
Answer:
The answer would be C because the y-intercept is when x is equal to 0
Step-by-step explanation:please mark me brainliest
Jasmine was observing her farm from a hot air ballon when she accidently dropped her telescope. As always on earth the formula to find the distance has fallen , d, after t seconds, is the triangle D= 16t^2. How far has the telescope fallen after 1 second. First person to answer gets brainliest
Answer:
256
Step-by-step explanation:
all you had to do was plug (t=1) in t in the equation
so
16(1)^2=256
Answer:400 ft
Step-by-step explanation:
How is 5,067,000 written in standard scientific notation?
Answer:
5.067e6
Step-by-step explanation:
The aspect ratio of a TV screen is the ratio of the width to the height of the image. A regular TV has an aspect ratio of 16: 9. Find the height and width of a 51-inch TV screen to the nearest tenth of an inch. (The measure given is the length of the diagonal across the screen.)
Answer:
Width = 44.45 inches
Height = 25.00 inches
Step-by-step explanation:
(16x)^2 + (9x)^2 = 51^2
256x^2 + 81x^2 = 2601
337x^2 = 2601
x^2 = 7.718
x = 2.778
Width = 44.45 inches
Height = 25.00 inches
I think this is right
The width and height of the given TV screen will be 44.45 inches and 25.00 inches.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
The length of any TV is measured diagonally.
So,
Diagonal = 51 inches
Now the ratio is ;
W/H = 16 / 9
Let's say both are fractions of x
So,
Width = 16x , Height = 9x
By Pythagoras theorem,
(16x)² + (9x)² = 51²
256x² + 81x² = 2601
337x² = 2601
x² = 7.718
x = 2.778
So width = 16(2.778) = 44.45 inches.
And height = 9(2.778) = 25.00 inches
Hence "The width and height of the given TV screen will be 44.45 inches and 25.00 inches".
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Is 6.34_ rational or irrational
Answer:
rational
Step-by-step explanation:
I will mark you the BRAINLIEST IF U DO THIS WELL
Answer: i think 0<u<425.65
this is considering every player will bought only one uniform for the season
Step-by-step explanation:
6²-26+3
A) quadratic monomial
B) cubic binomial
C) quartic trinomial
D) quadratic trinomial
Solve the system of equations: 3x + 4y = 11 x – 2y = – 3
Answer:
{x,y}={1,2}
Step-by-step explanation:
Convert 42.4 inches to meters.Round your answer to 2 decimal points
Answer:
1.07m
Step-by-step explanation:
the first step is to convert inches to cm
1in =2.54cm
(42.4in/1in x2.54cm)
42.4in = 107.69cm
then convert cm to m
1cm =0.01m
(107.69cm/1cm x 0.01m)
107.69cm =1.0769m
~1.07m
stephon scores 75,75,81,95 on four math tests. what is his mean math test score?
Answer:
should be 81.5
Step-by-step explanation:
Classify ΔXYZ. Question 3 options: A) Equilateral triangle B) Scalene triangle C) Isosceles triangle D) Right triangle
Answer:
as triangle has different length in each side it is scalene
Step-by-step explanation:
A right triangle has one vertex on the graph of y = x^8, x>0, at (x, y), another at the origin, and the third on the positive y-axis at (0, y), as shown in the figure. Express the area A of the triangle as a function of x.
Answer:
Area = [tex]\frac{1}{2}x^{9}[/tex]
Step-by-step explanation:
From the graph attached,
Triangle given is a right triangle.
This triangle ha three vertices (0, y), (x, y) and (0, 0).
Therefore, measure of the base = x units
And measure of the height of the triangle = y units
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(x)(y)[/tex]
Since, y = [tex]x^{8}[/tex]
Therefore, Area of the triangle = [tex]\frac{1}{2}(x)(x)^8[/tex]
= [tex]\frac{1}{2}x^{9}[/tex]
Area of the given right triangle is [tex]\frac{1}{2}x^{9}[/tex] units².
solve for x: 3/2+1/2x=2x
Chuck is making a scale drawing of his house. He is using the scale 1 inch = 5 feet. The dimensions of his actual house are 45 feet by 75 feet. What are the dimensions of Chuck’s house on the drawing?
Answer:
9 inch by 15 inch
Step-by-step explanation:
45/5=9 in
75/5=15 in
what are the common multiples of 8 and 12?
Answer:
common multiples: 24, 48, 72, 96
Answer:
common multiples include 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.
or 12, 24, 36, 48, 60, 72, 84, 96.
Step-by-step explanation:
how to write 53/198 as a decimal
Answer:
__
0.2676 or 0.268
Step-by-step explanation:
53 ÷198