Answer:
M = -2/5
Step-by-step explanation:
To find the slope of a line when you know two points, use the following formula.
M = y₂ - y₁ ÷ x₂ - x₁
M = 9 - 11 ÷ -12 - (-17)
M = -2 ÷ 5
M = -2/5
Hope that helps.
A shop keeper purchased 200 bulbs for Rs.10 each. However 5 bulbs were fused and had to
be thrown away. The remaining were sold at Rs.12 each. Find the gain or loss %
Answer: 17%
Step-by-step explanation:
A shop keeper purchased 200 bulbs for Rs.10 each. Therefore, the cost price:
= 200 × 10
= 2000
Since 5 bulbs were fused and had to
be thrown away and the remaining were sold at Rs.12 each. Therefore, selling price would be:
= 195 × 12
= 2340
Gain would be:
= 2340 - 2000
= 340
Gain percent would be:
= Gain / Cost price × 100
= 340/2000 × 100
= 17%
Which line has a slope of 1/2 and passed through (2,-4)
Help me and I’ll give brainliest to u
Answer:
7p
Step-by-step explanation:
Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.
Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!
Suppose that a bond has a face value of ₱ 100,000 and its maturity date is 10 years from now. The coupon rate is 5% payable semi-annually. Find the price of the bond, assuming that the required yield is 4%.
Answer:
Bond Price= $108,175.71
Step-by-step explanation:
Giving the following information:
Face value= $100,000
Coupon rate= 0.05/2= 0.025
YTM= 0.04/2= 0.02
Time period= 10*2= 20 semesters
To calculate the price of the bond, we need to use the following formula:
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 2,500*{[1 - (1.02^-20)] / 0.02} + [100,000/(1.02^20)]
Bond Price= 40,878.58 + 67,297.13
Bond Price= $108,175.71
In this exercise we have to use the knowledge of finance to calculate the stipulated value through the percentages, thus we find that:
Bond Price will be [tex]\$108,175.71[/tex]
From the information given in the text we found that:
Face value: [tex]\$100,000[/tex] Coupon rate: [tex]0.05/2= 0.025[/tex] YTM: [tex]0.04/2= 0.02[/tex] Time period: [tex]20 \ semesters[/tex]
To calculate the price of the bond, we need to use the following formula:
[tex]Bond\ Price = cupon*{[1 - (1+i)^{-n}] / i} + [face \ value/(1+i)^n][/tex]
So with the formula already informed we will replace the values given in the text find what we want.
[tex]Bond \ Price = 2,500*{[1 - (1.02^{-20})] / 0.02} + [100,000/(1.02^{20})]\\Bond Price= 40,878.58 + 67,297.13\\Bond Price= \$108,175.71[/tex]
See more about finances at: brainly.com/question/10024737
A demon possessed woody and turned him into a monster!
He now hunts children aged 7-16 because he likes his meals chewy.
His head turns 360 degrees to spot prey.
If you look at the picture he will rise out of your sheets and put snakes in your shoes.
And he's right behind you.
Answer:
Ë
Step-by-step explanation:
Im literally going to poop my pants that is SO scawwwy. I deserve compensation for this. My lawyers are coming after you
Answer:
i looked behind me and yes i did see a monster, my brother
Step-by-step explanation:
find the value of x if 5^2 ×5^x-5 =625
Given:
[tex]5^2\times 5^{x-5}=625[/tex]
To find:
The value of x.
Solution:
We have,
[tex]5^2\times 5^{x-5}=625[/tex]
It can be written as
[tex]5^2\times 5^{x-5}=5\times 5\times 5\times 5[/tex]
Using property of exponents, we get
[tex]5^{2+x-5}=5^4[/tex] [tex][\because a^m\times a^n=a^{m+n}][/tex]
[tex]5^{x-3}=5^4[/tex]
Comparing the exponents on both sides, we get
[tex]x-3=4[/tex]
Adding 3 on both sides, we get
[tex]x=4+3[/tex]
[tex]x=7[/tex]
Therefore, the value of x is 7.
What can you do if your struggling in Volume in Math?
Answer:
Study Harder
Step-by-step explanation:
Which are shown on the diagram? Check all that apply.
Answer:
i think b,c,d and f
Step-by-step explanation:
On her way to visit her relatives, Jessica drives 180 miles in 4 hours. What is her average rate of speed in miles per hour?
ASAP!!!
Answer:
It is 50 mph
Step-by-step explanation:
Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers. y =
Answer:
Step-by-step explanation:
given: (2,1) & (5-8)
first find the slope,
m= (Y2-Y1) / (X2-X1)
m=(-8-1)/(5-2)
m=(-9)/(3)
m=-3
we have y=-3x+b
use any point to sub in x and y
1=-3(2)+b
1+6=b
b=7 therefore, y=-3x+7 is the equation
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1 ), then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
If the 3 cans cost 0.78 how much will 2 cans cost
Answer:
.52
Step-by-step explanation:
math ting
Solve the following linear inequality.
3 x - 15 5-6
A. x < 12
B.x > 12
C.x < -12 D.x > 12
Answer:
SOLVE FOR C
c=2−
x
6
−
x
2
3
,x
=0
SOLVE FOR X
{
x=
2−c
3
(
5−c
+
3
)
; x=
2−c
3
(−
5−c
+
3
)
,
x=−
2
1
,
c
=2 and c≤5
c=2
Micah downloads music from an online music store. He pays $1.00 for each song, but if he buys three songs he gets a fourth song for free. Does this relationship have a constant rate of change or a varying rate of change?
Answer: this relationship has a constant rate because the pattern will stay as buy three get the 4th one free
Step-by-step explanation:
Answer:
A varying rate of change.
Step-by-step explanation:
He will have spend 1 dollar for one song, making that point (1,1), 2 dollars for two songs (2,2), 3 dollars for 3 songs (3,3), but when he buys a fourth song, which is free, he has still only spent 3 dollars, making the point (4, 3).
(That's with the amount of songs as the x value and money spent as the y-value)
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups. After the party, 4 cups of juice were left over. At the party, how many cups did people drink? Show your work and complete the explanation of how you found your answer.
Answer:
60 cups
Step-by-step explanation:
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.
From the above question:
1 gallon of juice = 16 cups
Then:
4 gallons of juice = c
Cross Multiply
1 × c = 4 × 16 cups
c = 64 cups of juice
Hence, 4 gallons of juice = 64 cups of juice
We are told that :
After the party, 4 cups of juice were left over.
The cups of juice people drank at the party is calculated as:
Total cups of juice - Number of cups of juice left over.
64 cups of juice - 4 cups of juice
= 60 cups of juice
halp plz my mommy sayd that i neda awnsur this to pas my test!!!!!! i wil brainlist!!!! :))
John has 4 apples, he gives 2 to Karen. How many apples will John have if he give 2 more apples to Becky?
thx for haplin me!! :)
Question:
Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.
How much more money did she save than spend this week?
Answer:
none. i better be right or else im jumping off my roof
The data in the table are linear. Use the table to find the slope.
2
4
6
8
1
-2.
-5
-8
a.
b.
3
2
3
2
او را
d. 2
3
Answer:
[tex]m = -\frac{3}{2}[/tex]
Step-by-step explanation:
Given
x 2 4 6 8
y 1 -2 -5 -8
Required
Determine the slope
First, pick any two corresponding x and y values.
[tex](x_1,y_1) =(2,1)[/tex]
[tex](x_2,y_2) =(8,-8)\\[/tex]
The slope (m) is then calculated using:
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Substitute in, the x and y values
[tex]m = \frac{1 - (-8)}{2- 8}[/tex]
[tex]m = \frac{1 +8}{-6}[/tex]
[tex]m = \frac{9}{-6}[/tex]
[tex]m = -\frac{9}{6}[/tex]
Divide numerator and denominator by 3
[tex]m = -\frac{9/3}{6/3}[/tex]
[tex]m = -\frac{3}{2}[/tex]
Hence, the slope is -3/2
Answer:
Is -3/2.
Step-by-step explanation:
I just took the test!
Solve for X.
-24+6x=-6
Answer:
3
Step-by-step explanation:
start by added 24 to both sides to get
6x = 18
then divide 18 by 6 to get
x = 3
Answer:
x=3
Step-by-step explanation:
Get your constant -24 to the other side to isolate the 6x.
-24+24+6x=-6+24
6x=18
Now since the 6 is multiplied by the x to isolate the x further divide 6x by 6, make sure to divide both sides. It should look like:
6x/6=18/6
x=3
To prove the answer just plug in 3 into the orginal equation and if both sides are equal its correct.
What are the solution(s) of y-4= 0?
X=-4 0r x= 4
X=-2 or x= 2
X=2
X=4
Answer: X=-2 or x= 2
Chase lives 1 and one half blocks west of Ellie. They draw a number line to model this situation. Because Ellie lives 1 and three fifths blocks east of school, they give her house the coordinate 1 and three fifths . Chase incorrectly claims that the coordinate of his house is 3 and one tenth . What is the correct coordinate of Chase's house? What is Chase's likely error?
Answer:
1/10
Step-by-step explanation:
A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.
The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).
Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10
Hence the coordinate of chase house is 1/10(one tenths).
The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get 3 and one tenth.
A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? (5 points) [1 mile = 1.6 km]
Answer:
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Step-by-step explanation:
Proportions
The hybrid car can travel 40 miles per gallon.
Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.
Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Ricardo open a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals . The account earns 1% simple interest. What is the total amount that Ricardo will have in his account at the end of 3 years ?
A:$168.00
B:$56.00
C:$576.80
D:$565.60
Answer:
C
Step-by-step explanation:
HELP ME, PLEASE. I REALLY NEED IT
Find x:
[tex]S=\frac{1}{sin2x}+\frac{1}{sin4x}+\frac{1}{sin8x}+...+\frac{1}{sin2^{n}x }[/tex]
Answer:
cotx - cot2ⁿxStep-by-step explanation:
Note: finding the sum not xFirst rewrite the first term as:
1/sin2x = sinx / (sinxsin2x) = sin(2x-x) / (sinxsin2x) =(sin2xcosx - cosxsinx) / (sinxsin2x) = (sin2xcosx)/(sinxsin2x) - (cos2xsinx)/(sinxsin2x) = cosx/sinx - cos2x/sin2x = cotx - cot2xNow the sum is:
S = cotx - cot2x + cot2x - cot4x +... + cot2ⁿ⁻²x - cot2ⁿx =cotx - cot2ⁿxplease help fast. - a pair of equations are shown below:
y = 7x - 8
y = 5x - 2
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = 7x - 8 → (1)
y = 5x - 2 → (2)
A
Solving by substitution
Substitute y = 7x - 8 into (1)
7x - 8 = 5x - 2 ( subtract 5x from both sides )
2x - 8 = - 2 ( add 8 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 7(3) - 8 = 21 - 8 = 13
Solution is (3, 13 )
B
The point of intersection of the graph of the 2 equations is the solution to the above equations.
That is point of intersection = (3, 13 )
Help please:):):):):):)
do eat popcorn in a tub
:)
poopy face
please help me this is turned in a couoke of minutes!!!!!!!!!!
Answer:
mince is the answer
The soccer club had a party in a private room at a restaurant. The restaurant charged $25 for the private room, and $9 per person. The cost (C) for p people to attend the party is modeled by the equation below. C = $25 + $9p How much did it cost if 18 people attended the party?
Answer:
$187
Step-by-step explanation:
C = $25 + $9(18 people)
C = 25 + 162
C = $187
Are 5 and 0.5 Equal to Each other?
Answer:
no
Step-by-step explanation:
5 is a whole number 0.5 doesn't equal to 1 it is half of 1
A small town has two local high schools. High School A currently has 500 students and is projected to grow by 80 students each year. High School B currently has 700 students and is projected to grow by 30 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine how many students would be in each high school in the year they are projected to have the same number of students.
The equation that represent the number of students in High School A at time t is AA = 500 + 80tt.
The equation that represent the number of students in High School B at time t is BB = 700 + 30tt.
The number of students when both schools would have the same number of students is 820.
When would the school have the same number of students?
The equation that represent the number of students in High School A :
current number of students + (number of years x rate of increase)
AA = 500 + 80tt.
The equation that represent the number of students in High School B at time t is:
current number of students + (number of years x rate of increase)
BB = 700 + 30tt.
When the schools would have the same number of students, the two equations would be equal:
700 + 30tt = 500 + 80tt
700 - 500 = 80tt - 30tt
200 = 50tt
tt = 200 / 50
tt = 4
Population = 500 + (80 x 4)
500 + 320 = 820
To learn more about linear equations, please check: https://brainly.com/question/26434260
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helpp meee pleaseeee
Answer:
I think its b:/ srry if I'm wrong
If a relation has more numbers in its range than in its domain, what has to be true?
Answer:
Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.