Answer:
the final amount is 1,135
Step-by-step explanation:
The computation of the final amount is shown below:
= Amount × (1 + increased percentage)
= 1102 × (1 + 0.02)
= 1102 × 1.02
= 1124.04
Now the additional one percent increase is
= 1,124.04 × 1.01
= 1,135
Hence, the final amount is 1,135
The same is to be considered
Which number line shows the points −125 and –2.8?
1. y = 5x + 2, (2,7)
y=5x−2 , y=−2x+5
Eliminate the equal sides of each equation and combine.
5x−2=−2x+5
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
7x−2=5y=−2x+5
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
7x=7y=−2x+5
Divide each term by
7
and simplify.
Tap for more steps...
x=1y=−2x+5
Replace all occurrences of x in y=−2x+5 with 1.
x=1y=−2⋅1+5
Simplify −2⋅1+5.
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x=1y=3
The solution to the system of equations can be represented as a point.(1,3)
The result can be shown in multiple forms.
Point Form:(1,3)
Equation Form:
x=1,y=3
Write the slope-intercept form of the equation that is described below.
Through (-3, 3) and parallel to y = 1/3x + 5
Final Answer: [tex]y = \frac{1}{3}x + 4[/tex]
Steps/Reasons/Explanation:
There are two methods of solving this problem. Slope-intercept form and Point-slope form. I will be using the Slope-intercept form to solve this problem.
Step 1: Substitute slope from the original line ([tex]\frac{1}{3}[/tex] in this case) into the slope-intercept equation.
[tex]y = \frac{1}{3}x + b[/tex]
Step 2: Substitute the given point [tex](-3, 3)[/tex] into the x and y values.
[tex]y = \frac{1}{3}x + b[/tex]
[tex]3 = \frac{1}{3}(-3) + b[/tex]
Step 3: Solve for b (the y-intercept).
[tex]3 = \frac{1}{3}(-3) + b[/tex]
[tex]3 = -1 + b[/tex]
[tex]+1[/tex] = [tex]+1[/tex] [tex]+[/tex] [tex]b[/tex]
[tex]4 = b[/tex]
Step 4: Substitute this value for b in the slope-intercept form equation.
[tex]y = \frac{1}{3}x + 4[/tex]
~I hope I helped you :)~
Answer:
y = 1/3x + 5
Step-by-step explanation:
(-3, 3)
x , y
x1 = -3
y1 = 3
The formula we will use is y - y1 = m ( x - x1)
We will now replace y1 and x1 with the coordinate points (-3, 3).
We will keep x1 = -3, and y1 = 3.
then you will plug in the numbers giving you an equation like:
y - (3) = 1/3 (x -(-3))
y - 3 = 1/3 (x + 3)
y - 3 = 1/3x +1
+ 3 + 3
y = 1/3x + 4
I am 100% sure I am correct.
If you want free answers to your questions you can use math
way, which is a free website
It gives you FREE answers to math problems and they are always reliable.
I always use it to check my answers as I did with this problem too you may go there to check my answer if you would like just type in y = 1/3x + 5 , (-3, 3)
then when options pop up select parallel, because you want to solve for a parallel line.
I hope I helped you a lot and my answer is correct.
Please mark me as brainliest and have a good day!
Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
50
60
70
I NEED HELP! what shape is symmetry ?
Answer:
E, the heart
Step-by-step explanation:
Answer:
The heart
Step-by-step explanation:
It is able to flip and still look the same
Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).
Step-by-step explanation:
Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.
Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.
Hence the equation is y + 5 = -2/3 * (x - 4). (B)
I need the measure of angle 1
Answer:
Angle 1 is 69°
Step-by-step explanation:
9x + 66 = -9x + 156
9x + 9x = 156 - 66
18x = 90
18x/18 = 90/18
x = 5
-9x + 156
-9(5) + 156
-45 + 156
111
180 - 111 = 69.
Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality. \,<\sqrt{32}<\,< 32
Answer:
Could you retype the equation so it isn't jankey?!
Step-by-step explanation:
Please show your work and solve the proportion!
Answer:
x = 1/9
Step-by-step explanation:
we want to solve the proportion;
we simply cross multiply the values
Mathematically, that will be calculated as follows;
6x * 21 = 2 * 7
6x * 21 = 14
6x = 14/21
2(3x) = 2(7/21)
3x = 7/21
3x = 1/3
x = 1/3/3
x = 1/9
which ratio is same as 2/3
The ratio 4/6 is the same as 2/3 because they have the same proportion.
To find a ratio that is the same as 2/3, multiply or divide both the numerator and the denominator by the same non-zero number.
1. Multiplying by the same number:
If you multiply both the numerator and the denominator of 2/3 by 2, you get:
= (2 × 2) / (3 × 2)
= 4/6
So, the ratio 4/6 is the same as 2/3.
2. Dividing by the same number:
Divide both the numerator and the denominator of 2/3 by 3, you get:
= (2 ÷ 3) / (3 ÷ 3)
= 2/3
So, the ratio 2/3 remains the same.
In conclusion, the ratio 4/6 is the same as 2/3.
Learn more about Ratio here:
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Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?
Step-by-step explanation:
A. Where do you see circles and semicircles in the world around you?
1. Ring.
2. Earing
3. Coin
4. Hockey puck
5. Car tyre
6. Dartboard
7. Wreath
8. Plate
9. Hula hoop
10. Mercedes logo
11. Bass drum
12. Drain
B. Why could finding the area or circumference be helpful?
Finding the area or circumference can help us estimate the size of these circular shape/figures, it can tell us the amount of space they can occupy or the amount of materials needed to produce them
√ 25 –2√3 + √27 +2√ 9 Express in simplified radical
Answer:
The expression in simplified radical form is:
[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\sqrt{25\:}\:-2\sqrt{3}\:+\:\sqrt{27}\:+2\sqrt{9\:}\:[/tex]
as
[tex]\sqrt{25}=5[/tex][tex]\sqrt{27}=3\sqrt{3}[/tex][tex]2\sqrt{9}=6[/tex]so the expression becomes
[tex]=5-2\sqrt{3}+3\sqrt{3}+6[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-2\sqrt{3}+3\sqrt{3}=\sqrt{3}[/tex]
[tex]=5+\sqrt{3}+6[/tex]
[tex]=11+\sqrt{3}[/tex]
Thus, the expression in simplified radical form is:
[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]
Help will give crown
Answer:
8
Step-by-step explanation:
from A to B it's 8 units long
Is (–5, 0.5) a solution of this system? x – 4y = –7, 0.2x + 2y = 0 Substitute (–5, 0.5) into x – 4y = –7 to get . Substitute (–5, 0.5) into 0.2x + 2y = 0 to get . Simplify the above equations to get
Answer:
Substitute (–5, 0.5) into x – 4y = –7 to get
✔ –5 – 4(0.5) = –7
.
Substitute (–5, 0.5) into 0.2x + 2y = 0 to get
✔ 0.2(–5) + 2(0.5) = 0
.
Simplify the above equations to get
✔ –7 = –7 is true and 0 = 0 is true; a solution.
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!!!!!!(–5, 0.5) a solution of the system of equations.
What is a system of equations?A system of equations is a set or collection of equations that you deal with all together at once.
Given are the equations, x – 4y = –7 and 0.2x + 2y = 0;
Substitute (–5, 0.5) into x – 4y = –7 to get
–5 – 4(0.5) = –7
Substitute (–5, 0.5) into 0.2x + 2y = 0 to get
0.2(–5) + 2(0.5) = 0
Simplify the above equations to get
–7 = –7 and 0 = 0 is true
Hence, (–5, 0.5) a solution of the system of equations.
For more references on the system of equations, click;
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BRAINLIEST
Which two expressions are equivalent for any value of y?
Group of answer choices
A. 3(3y + 3) and 6y + 6
B. 3(3y + 3) and 9y + 6
C. 9(y + 3) and 12 + 9y
D. 9(y + 3) and 27 + 9y
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
What is Abigail’s greatest possible age?
Give your answer as a whole number of years.
Answer:i i think Brenda 10
Step-by-step explanation:
Age problems are the algebra word problem which deals with the ages of people in the present time.
Given information-
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
Age problemsAge problems are the algebra word problem which deals with the ages of people in the present time.
Suppose Abigail is A, Brenda is B and Carly is C years old.
As Abigail is 5 years older than Brenda. Thus,
[tex] A=B+5[/tex] .... 1
As Brenda is twice as old as Carly. Thus,
[tex]C=\dfrac{B}{2} [/tex] ..... 2
As the total of their ages is less than 40.
[tex]A+B+C=40[/tex]
Keep the values of A and C from the equation 1 and 2 in the above equation,
[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]
Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,
[tex]A=14+5\\ A=19[/tex]
Thus the Abigail is 19 year old.
Learn more about the age related problem here;
https://brainly.com/question/91727
Please answer these questions I will mark brainliest
pls pls pls pls help
Please help! asap ill brainlist you :(
At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.
Answer:
5
Step-by-step explanation:
hope this helps!!!
Write the equation in point-slope form of the line that contains the points (3,-5) and (5,- 1)
Answer:
y+5=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
The linear function passing through points (3,-5) and (5,- 1) is given by:
y = 2x+ 13.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
y = mx + b
In which the coefficients are described as follows:
• The coefficient m is the slope of the function, representing the rate of change of the function.
• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).
For this problem, the two points that form the function are given as follows:
(3,-5) and (5,- 1)
The slope is given by change in y divided by change in x, hence it is given by:
m = (y₂-y₁)/ (x₂-x₁)
m = (-1+5)/(5-3)
m = 4/2
m = 2
Then:
y = 2x + b.
When x = 3, y = -5, hence we can find the intercept b of the function as follows:
3 = 2 x -5 + b
b = 3+ 10
b = 13
Hence the equation is:
y = 2x+ 13
More can be learned about linear functions :
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Give the equation in slope intercept form for each representation. Tell me if you can’t see the pic at the top.
Will give crown help
Answer:-8,-2,4,10
Step-by-step explanation:
Egghead Egghead Egghead
Answer:
the first one is an egghead, gordon ramsey is not an egg
Step-by-step explanation:
a 15-inch candle burns down in 10 hours. at what rate does the candle burn in inches per hour
Answer:
5 inches per hour
Step-by-step explanation:
Answer:
1.5 inches per hour
Step-by-step explanation:
In a party Tom paid $540 including the cake and drink for his friend the cost of a person attending the party is $15 the cost of cake and drinks are $75 and $90 respectively find the number of friends that attended the party
6 of 12
Write in index form
(-4) × (-4) × (-4) x (-4) × (-4) x (-4)
Given:
The expression is
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
To find:
The index form of given expression.
Solution:
Index form is the exponent form, it means, the number is represented in power of a number.
We have,
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
Here, we have 6 times -4. So, we get -4 as base and 6 as index or exponent.
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)=(-4)^6[/tex]
Therefore, the index form of given expression is [tex](-4)^6[/tex].
Identify the end behavior brain list for whoever gets it right
Answer:
Number 4, the last one
Step-by-step explanation:
The answer is the first choice.
For every odd-degree polynomial function,
When x approaches positive infinity, y approaches positive infinity.
When x approaches negative infinity, y approaches negative infinity.
As shown in the graph, substituting x into any numbers that are greater than 3 and you'll see how the graph heads toward y-value infinitely.
is this table a function? why or why not?
Line z has a slope of 2.5 and goes through points (4,13) . Which equation best represents line z?
A y=2.5x-23
B y=2.5x+23
C y=2.5x+3
D y=2.5x- 28.5
Answer:
C. y=2.5x+3
Step-by-step explanation:
transversals angles
the answer of your question is angle 3