Find the x-intercept and y-intercept of the line given by the equation below. Then graph the line.
x + y = 2
X-intercept:
y-intercept:
Meredith borrows $12,560 and pays 2% simple interest each year for 4 years. What is the total amount of interest that she will pay on the loan?
Answer:
A = $13,564.80
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year.
Solving our equation:
A = 12560(1 + (0.02 × 4)) = 13564.8
A = $13,564.80
The total amount accrued, principal plus interest, from simple interest on a principal of $12,560.00 at a rate of 2% per year for 4 years is $13,564.80.
Answer:
its b
Step-by-step explanation:
75% of 56
Pls help me
Answer:
42
Step-by-step explanation:
Refer to - KLMN •
3r
M
2y
3 cm
ס
60°
K
N
x + 4 cm
What is the length of LM in cm?
Answer:
[tex]LM = 6cm[/tex]
Step-by-step explanation:
[tex]LM = KN[/tex]
[tex]3x =x + 4[/tex]
[tex]3x - x = 4[/tex]
[tex]2x = 4[/tex]
[tex] \frac{2x}{2} = \frac{4}{2} [/tex]
[tex]x = 2[/tex]
then
[tex]LM = 3x[/tex]
[tex]LM =3 \times 2[/tex]
[tex]LM = 6cm[/tex]
The graph shows the number of centimeters a particular plant grows over time. Given the points (0,0) and (5,8), how many centimeters does the plant grow per week?
can someone help me with this problem please?
Answer:
8 cm
m = -------------- This is the desired rate of change, the amount the plant
5 wk grows per 1 week.
Step-by-step explanation:
Moving from point (0, 0) to point (5, 8), we see that the x-coordinate (the 'run') increases by 5 wk and the y-coordinate (the 'rise') increases by 8 cm. Thus we have the rate of change
8 cm
m = -------------- This is the desired rate of change, the amount the plant
5 wk grows per 1 week.
Simplify expression (distributive property) 11(9+d) if correct I'll mark brainliest!
Answer After Distributing: 99 + 11d
Work: You multiply 9 and d by 11, and you get 99 + 11d.
I hope this helps, and Happy Holidays! :)
PLS HELP MY GRADE DEPENDS ON IT
Image is attached below
Answer: the first one
Step-by-step explanation: head math
assume that the variable under consideration has a density curve. it is given that 27.1% of all possible observations of the variable are less than 17. Determine the area under the density curve that lies to the right of 17.
Answer:
72.9%
Step-by-step explanation:
Given that :
27.1% of all possible observation of a certain variable are less than 17 ;
That is ;
Let variable = y ;
Proportion of (y < 17) = 27.1% = (27.1 / 100) = 0.271
Proportion that lies to the right :
P(y > 17) = 1 - P(y < 17)
P(y > 17) = 1 - 0.271
P(y > 17) = 0.729 = 72.9%
describe the relationship between the similarity ratio of two triangles and the ratio of their areas. help plz
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
Sam’s height is 1.58 m. His younger brother Tom’s height is 0.4 m less than his height. What is Tom’s height?
A)1.58 m B) 1.54 m C)1.98 m D) 1.18 m
Sam's height= 1.58m
Tom's height= 0.4m less than Sam's
= (1.58- 0.4)m
= 1.54m
Using point-slope form, write the equation of the line that passes through (–3, 2) and has a slope of 5. A. (y – 2) = 5(x + 3) B. (y – 2) = 5(x – 3) C. (y + 2) = 5(x – 3) D. (y + 2) = –5(x + 3)
Answer:
A. (y - 2) = 5(x + 3)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (-3, 2)
Slope m = 5
Step 2: Write Equation
Substitute in variables into general form.
y - 2 = 5(x + 3)
Suppose the sum of two integers is negative. Must both integers be negative? Explain.
Answer:
Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7. Here 4 is a positive number but because you subtract 4 to 3 or take away 4 from 3 being a negative number and so you get a negative answer. Another example is 6+(-9). There are a couple of ways you can resolve this. My method is to subtract 9 from 6 which gives you 3 and simply add a negative sign.
Let me know if you'd like more examples. Hope this helps!! Sorry if it is confusing I can explain you in a more simpler way if you'd like.
Step-by-step explanation:
The sum of two integers is negative, here both integers are negative.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Given that the sum of two integers is negative.
And both integers are negative
Let a < 0, b < 0
Using a model a + b < 0
Substitute the values a = -1, b = -2, and c = -3 in the inequality of model
⇒ (-1) + (-2) < 0
⇒ -1 - 2 < 0
⇒ -3 < 0
So, the sum of two integers is negative.
Hence, the sum of two integers is negative, here both integers are negative.
Learn more about inequalities here:
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are any of these equations linear or nonlinear if yes what is the standard form
a. y=-7+6x
b. y=2x+5
Answer:
both are linear
a) 6x - y = 7
b) 2x - y = -5
Step-by-step explanation:
Draw a scaled copy of the circle
using a scale factor of 2.
How does the circumference of the scaled copy compare to the circumference of the original circle?
How does the area of the scaled copy compare to the area of the original circle?
Answer:
the circumfrence is the diameter times pi so if the diameter was 3 you would time that by 3.14 to get the circumfrence hope that helps
Step-by-step explanation:
The circumference of the scaled copy is half the circumference of the original circle.
The area of the scaled circle is half the area of the original circle.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
Let the radius of the circle = r
The circumference of the circle = 2πr
The area of a circle = πr²
Now,
Scale factor = Original circle / Scaled circle
Now,
Scale factor = 2
2 = Circumference of the Original circle / Circumference of the Scaled circle
Circumference of the Scaled circle = (1/2) Circumference of the Original circle
Again,
Scale factor = 2
2 = Area of the Original circle / Area of the Scaled circle
Area of the scaled circle = (1/2) Area of the original circle
Thus,
The circumference of the scaled copy is half the circumference of the original circle.
The area of the scaled circle is half the area of the original circle.
Learn more about scale factors here:
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Solve the equation for x. 25x = 275
x =
Answer:
x = 11
Step-by-step explanation:
So the equation is 25x = 275. In order for us to find out what x is we need to get rid of 25 that is next to x, so we are going to have to divide 25x by 25. What you do to one side you do to the other so the equation will look like this:
25x/ 25 = 275/ 25
25x/25 = x
275/25 = 11
so x = 11
Last night, the Knicks made 12 free throws. If their free throw percentage is 75%, how many free throws were attempted? (READ CAREFULLY!)
Answer:
16
Step-by-step explanation:
12 / 16 = 0. 75
i found this by dividing 12 by 0.75
Randy saving for console cost $290 he got a $50 gift card from grandma $15 each week, how many weeks until he get money?
Answer:
it will take him 16 weeks
Step-by-step explanation:
290 subtract 50 equals 240
240 divided by 15 equals 16
please help me please
Answer:
y=1
10/5=2
Step-by-step explanation:
A meteorologist predicted that there would be 1.0 inches of rainfall from a storm. Instead, there were 2.2 inches of rainfall. Which statements are true?
a
The prediction was off 35%
b
The percent error of the prediction was about 55%.
c
If the percent error should be less than 20%, the prediction was acceptable.
d
The difference between the predicted and the actual rainfall was 1.2 inches
Answer:
pls write the question clearly
Step-by-step explanation:
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The statements that is true: B. The percent error of the prediction was about 55%.
D. Difference between the predicted and actual rainfall was 1.2 inches.
What is the percentage error?Percentage error can be calculated using this formula;
Percentage error = Actual value observed - Expected value /Expected value
The Percentage error is;
= 2.2 - 1.0 / 2.2
Percentage error = 1.2 /2.2
Percentage error = 0.545 × 100
Percentage error = 55% (Approximately)
Since Difference between the predicted and actual rainfall;
Difference = Actual rainfall - Predicted rainfall
Difference = 2.2 -1.2
Difference = 1.2 inches.
Hence the correct statement is option B and D.
Learn more about percentage error;
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Given m||n, find the value of x;
Answer:
i think its 24 because its the alternate exterior so it should be the same.
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
KJananwnwwnnwnwnwnwnw
Apply the distributive property to convert the expression to the greatest common factor multiplied by a term in parenthesis.
36a+9=
40+50d=
28-7f=
Answer:
9(4a+1)=
10(4+5d)=
7(4-f)=
Step-By-Step Solution:
The greatest common factor is the largest number that both numbers can be divided by. For example, in #1, 36 and 9 can both be divided by 9 to become 4 and 1.
pls help! will give brainliest!!!
Answer:?????
Step-by-step explanation:
what do u need help with/?//???/???
15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine ounces. How many cans of corn should be bought for the dinner?
Answer:
5 cans need to be bought
Step-by-step explanation:
In each can, 3 people can be served. 3 × 5= 15
Please help and explain how you got the answer. Im giving out brainliest. || Q2
Answer:
B
Step-by-step explanation:
Convert 3/5 and each fraction so that that they have the same denominator by finding the (lowest) common multiple. If they have the same numerator, then the fractions are equivalent.
Whatever you multiply the denominator by, you need to multiply the numerator by.
A) The lowest multiple of 5 and 15 is 15.
5 * 3 = 15
3 * 3 = 9
3/5 = 9/15
B) The lowest multiple of 5 and 16 is 80.
5 * 16 = 80
3 * 16 = 48
3/5 = 48/80
16 * 5 = 80
12 * 5 = 60
C) The lowest multiple of 5 and 50 is 50.
5 * 10 = 50
3 * 10 = 30
3/5 = 30/50
D) The lowest multiple of 5 and 60 is 60.
5 * 12 = 60
3 * 12 = 36
3/5 = 36/60
A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by s(t)-6+2t+t2, where s(t) is in feet and t is in (a) Find the velocity at t- 4 seconds. (Worth 5 points) sec/Pt Answer (b) Find the instant the balloon is 50 feet above the ground.
Step-by-step explanation:
A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by :
[tex]s(t)=6+2t+t^2[/tex] ...(1)
(a) We need to find velocity at t = 4 seconds
Differentiate equation (1) wrt t.
[tex]v=\dfrac{ds}{dt}\\\\v=\dfrac{d(6+2t+t^2)}{dt}\\\\v=2+2t[/tex]
At t = 4 seconds,
[tex]v=2+2(4)\\\\=10\ ft/s[/tex]
At t = 4 seconds, the velocity is 10 ft/s.
(b) When the balloon is 50 feet above the ground,
[tex]6+2t+t^2=50[/tex]
We need to find t.
[tex]6+2t+t^2=50\\\\t^2+2t-50+6=0\\\\t^2+2t-44=0[/tex]
It is a quadratic equation,
t = 5.708 and t = -7.708
Neglecting negative time, the instant time is 5.708 seconds.
pls help having a hard time understanding I just need the answers
Answer:
B
Step-by-step explanation:
Basically, you can rule out all of the other answers by the following criteria:
A is wrong because any y= equation without an x is just a straight horizontal line
C is wrong because any x= equation is just a vertical line
D is wrong because both lines shown are positive lines, and both equations in answer D are negative
Therefore by process of elimination, the only answer that makes sense is B
Which ordered pair is not a solution set of
4x + 2y > -10
(-6,0)
(-5,7)
(8, -3)
(4,3)
Answer:
(-6,0) is not a solution
Collins Middle School has 245 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the middle school
Answer:
700
Step-by-step explanation:
In this figure m∠A=(2x-2)°, m∠C=(4x-6)°,and m∠DBC=(5x+4)° What is m∠C
SHOW YOUR WORK will give 100 points!!
Answer:
answer 500
Step-by-step explanation:
2x2-40x33 divided by 2 and boom answer 500
Anser:
m∠C=42
Step-by-step explanation:
(2x - 2) + (4x - 6) = (5x + 4)
(6x - 8) = (5x + 4)
-4 -4
6x - 12 = 5x
-5x -5x
1x = 12
So 4 * 12 - 6 = 42
m∠C=42
Please help I don’t under
Answer:
x=30
Step-by-step explanation:
set the sum of both equal to 180 bc it makes a straight line
(x-1)+(5x+1)=180
add and subtract 1 from each side
x+5x=180
add like terms
6x=180
divide by 6
x=30
Answer:
D: x=30
Step-by-step explanation:
(x-1)⁰+ (5x+1)⁰=180⁰
x-1+5x+1=180
x+5x-1+1=180
6x=180
x=30