Answers
Hope it work for u
Step-by-step explanation:We can make points from the given figure as ,
1 point =(x1, y1)=(-2, -3)
2nd point =(x2, y2)= (0, -6)
3rd point = (x3, y3)=(2 , -9)
Now the equation of line is,
Y=m X+ c where m is slope and c is constantnow two point formula of slope is ,
m = y2-y1/x2-x1putting points in it we get
m=(-6-(-3))/(0-(-2)
m=-3/2 is slope
Now to find C putt the value of m and 3rd point in equation of line we get
y3=m(x3)+c
-9=(-3/2)(2) +c
C= -9+3
C=-6 is value of c
Now at last putt the value of C and m in equation of line we get the required equation ,
Y=(-3/2)X-6 Ans.........................
Related Questions
When the interest on an investment is compounded continuously, the investment grows at a rate that is proportional to the amount in the account, so that if the amount present is P, then dP dt = kP where P is in dollars, t is in years, and k is a constant. If $180,000 is invested (when t = 0) and the amount in the account after 17 years is $421,136, find the function that gives the value of the investment as a function of t. (Round your value of k to two decimal places.)
Answers
Answer:
the interest rate on this investment k = 0.05 or 5%
Step-by-step explanation:
Given that;
dp/dt = kp
dp/p = k dt
now we integrate on both sides
integral dp/p = integral k dt
ln p = kt + c
p =e^kt + c
p = ce^kt
Given that p = $180,000 is invested (when t = 0)
p = ce^kt
we substitute
180000 = ce^k×0
180000 = ce^0
180000 = c × 1
c = 180,000
we substitute the value in the equation
p = 180000e^kt
now given that the amount in the account after 17 years is $421,136
i.e at t = 17 and p = 421,136
we substitute
421,136 = 180000e^17k
divide both sides by 180000
421136/180000 = 180000e^17k / 180000
e^17k = 2.3396
17k = In(2.3396)
17k = 0.8499
k = 0.04999 ≈ 0.05
therefore the interest rate on this investment k = 0.05 or 5%
Stephanie has three shirts for every two pairs of jeans that she owns. If she owns 14 pairs of jeans, then how many shirts does she own?
Answers
Answer:
21 shirts
Step-by-step explanation:
Ratio jeans to shirts: 2:3
Mutiply by the same
2 to get to 14 is 7
7 x 2 = 14
7 x 3 = 21
Answer: i think the answer is 21
Step-by-step explanation:
Money is put into two accounts. Account A earns 3.5% interest annually, and account B eanrs 2.6% interest annually. Assuming $20,000 is split evenly among the accounts and interest is not compounded, how much interest would be earned in total after 6 years?
Answers
Answer:
$3360 combined. $1560 from acct b and $2100 from acct a
nonpurchasers to total customer 37 and 13
Answers
Will give brainliest help
Answers
Answer:
i cant download the photo
Step-by-step explanation:
Answer:
5/6
7/12
1 5/12
Step-by-step explanation:
I did the first 3 for u.. look up fraction calculater! then you will get the rest! hope this helps u!! :D
A. Determine the value of an account in which a person invested $6000 for 12 years at an annual rate of 9% compounded annually (n= 1).
Answers
Answer:
16875.98
Step-by-step explanation:
6000(1+(0.09/1)^1*12 = 16875.98
Answer:
1648
Step-by-step explanation:
A=p(1+rt)
=6000$(1+(9/100)×12))
=1648.56
Stephen imports cars from the USA. He sells them in the UK. He has just bought a car in the USA costing $24 000. It cost him £900 to import the car to the UK. The exchange rate is £1 = $1.45. Stephen needs to make a profit of 20% on his total costs.
Work out the least amount that Stephen must sell the car for in the UK. Give your answer in pounds.
Answers
Answer:
£20942.04
Step-by-step explanation:
The total cost of the car includes its purchasing price and the cost of importing it into the UK.
Cost of the car in pounds = 24000/1.45 = £16,551.7
Total cost of the car = £16,551.7 + £900 = £17,451.7
If the profit made is 20%
Then;
Profit % = selling price - cost price/cost price * 100/1
Let selling price = SP
Cost price = CP
20 = SP - CP/CP * 100/1
20 = SP - 17,451.7/17,451.7 * 100/1
17,451.7 (20) = 100(SP - 17,451.7)
349034 = 100SP - 1745170
349034 + 1745170 = 100SP
2094204 = 100SP
SP = £20942.04
A plumber is draining a tub, The graph shows the water level of the tub in gallons after draining for x hours.
What is the range of the function for this situation.
A) all real number is greater than or equal to 0 and less than or equal to 15.
B) all real numbers less than or equal to 15.
C) all real numbers greater than or equal to 0 and less than or equal to 20.
D) all real numbers less than or equal to 20.
Answers
What is -10=k+6 please show work thank you
Answers
Answer:
k=-16
Step-by-step explanation:
-10=k+6
subtract 6 both both sides to isolate the variable
-16=k
Happy Holidays!!
Answer:
K= -16
Step-by-step explanation:
k=( -10)_6
make as brainlist
Which equation is equivalent to : 2(-3x-6) = -5
Answers
Answer:
-6x-12=-5
Step-by-step explanation:
Just distribute
Point G and point H are the same distance form point F. Which coordinates could be the location of point H?
Answers
Answer:
[tex]H = (5,1)[/tex]
Step-by-step explanation:
The attachment is not clear. However, the points of G and F are:
[tex]F = (3, 2)[/tex]
[tex]G = (4, 4)[/tex]
And the options are:
[tex]A.\ (1, 2) \\ B. (4, 2)\\ C. (5, 1) \\ D. (2, 5)[/tex]
Required
Determine the coordinates of H
This question will be solved using distance formula, D
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Since F is equidistant of G and H, the formula can be represented as:
[tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex] and
[tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]
Where:
[tex](x_1,y_1) = (4,4)[/tex]
[tex](x,y) = (3,2)[/tex]
[tex]H = (x_2,y_2)[/tex]
Substitute values for x , y , x2 and y2 in [tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex]
[tex]D = \sqrt{(x_2 - 3)^2 + (y_2 - 2)^2}[/tex]
Square both sides:
[tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
Substitute values for x , y , x1 and y1 in [tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]
[tex]D = \sqrt{(4 - 3)^2 + (4 - 2)^2}[/tex]
Square both sides:
[tex]D^2 = (4 - 3)^2 + (4 - 2)^2[/tex]
[tex]D^2 = (1)^2 + (2)^2[/tex]
[tex]D^2 = 1 + 4[/tex]
[tex]D^2 = 5[/tex]
Substitute 5 for D^2 in [tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
[tex]5 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
From the list of given options, the values of x and y that satisfy the above condition is: (5,1)
This is shown below
[tex]5 = (5-3)^2 + (1-2)^2[/tex]
[tex]5 = (2)^2 + (-1)^2[/tex]
[tex]5 = 4 + 1[/tex]
[tex]5 = 5[/tex]
Other options do not satisfy this condition. Hence, the coordinates of H is:
[tex]H = (5,1)[/tex]
In parallelogram MNPT, MZM - (6x + 10% and m2N - (5x + 10.5. How many
degrees is ZT?
Answers
Hellpppppppppppppp ASAP
Answers
I think it’s C but I’m not sure
Explanation:
Plz let me know if it’s right and if it’s not I apologize in advance
Answer:
C
Step-by-step explanation:
graphs A and B are called quadratic equations; example, x^2 - x - 6 and, when graphed form u-shaped curves that either cross the x-axis at one or two points, or possibly not at all.
graph D is a linear equation, x = -4
graph C is created by an equation where the x-value is raised to the third power; try graphing y = x^3 and see how it looks
30 16565x
What is the solution to this equation
Answers
Pls Help. I'm stuck. And this is the Course Challenge
Answers
Answer:
A
Step-by-step explanation:
A rotation of 180 degrees will fit perfectly with shape pink
1. A force of 30N is applied to a screwdriver to pry the lid off of a can of paint. The
screwdriver applies 90N of force to the lid. What is the MA of the screwdriver?
Answers
Answer:
I would have to guess that the MA of the screwdriver is 120N.
Step-by-step explanation:
I think this because you are adding 30 and 90, since there are two forces being acted on the same place in the same direction.
#teamtrees #WAP (Water And Plant)
#teamtrees #WAP (Water And Plant)
Answer this one question please thanks
Answers
Answer:
option b is correct answer
Find the number between 100 and 999 such that
the sum of the three digits is 12.
the hundreds digit equals the sum of the tens digit and the ones digit.
the hundred digit equals one greater than the tens digit.
Answers
1+5+6=12
1+5=6
6 is 1 greater than 5
A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 480 miles in 8 hours, and the truck traveled 210 miles in 3 hours, who is on pace to reach the destination first?
Answers
Answer:
The truck
Step-by-step explanation:
You need to first find out how many miles per hour each is going. To do this you need to divide. 480/8=60 210/3=70 with this information you just need to take the one that goes faster which is the truck.
John believes that height is related to leadership and specifically hypothesizes that the taller one is, the more other people look to that person as a leader. To test this hypothesis, he randomly selects a sample of 50 people, and measures their height and perceived leadership potential (both quantitative measures). This is a ______ hypothesis and will result in a(n) _______ -tailed test
Answers
Answer:
This is a __simple____ hypothesis and will result in a(n) _______one-tailed test.
Step-by-step explanation:
The Simple Hypothesis predicts the relationship between two variables, in this case, height and leadership. The one-tailed test will be performed to determine whether to reject the null hypothesis. This is why the null and alternative hypotheses must be established before the statistic test is carried out. If the null hypothesis is rejected, this simply results in the acceptance of the alternative hypothesis.
help me on this question please
Answers
Answer:
7 6/18
Step-by-step explanation:
Answer:
3.71851851852
Step-by-step explanation:
-4x + 10y
X=5
Y=7
Find the value of the algebraic expression
Answers
Answer:
50
Step-by-step explanation:
-20+70=50
The coordinates of the vertices of a polygon ABCD are shown on the graph below.
On a coordinate plane, point A is at (negative 4, 3), point B is at (negative 2, negative 2), point C is at (4, negative 2), and point D is at (4, 3).
If the points are connected, what polygon is formed?
Heptagon
Octagon
Quadrilateral
Triangle
Answers
Step-by-step explanation:
c
Answer:
c
Step-by-step explanation:
12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.
Answers
Answer:
467
Step-by-step explanation:
What is the slope of the line through (1,0) and (3, 8)?
Answers
Answer:
4
Step-by-step explanation:
the equation for slope: (y2-y1)/(x2-x1)
the points are (1,0), and (3,8)
we can label them
x1=1
y1=0
x2=3
y2=8
now, substitute into the equation (m=slope)
m=(8-0)/(3-1)
m=8/2
m=4
Use 50% as the percentage amount taken off of 199.99. Please help me
Answers
Answer:
199.49
Step-by-step explanation:
Answer:
199.49
Step-by-step explanation:
Hope this helped have an amazing day!
For a party, 10 friends are buying 100 cups, 100 plates, a
punchbowl, and 200 balloons.
DATA
Party Supplies
100 balloons $7.80
100 plates
$4.75
100 cups
$5.45
100 napkins
$2.09
10 invitations $1.60
plastic punchbowl $11.50
What stepe do you need
to solve to find the
answer?
a. How much did they spend on party supplies?
Answers
Answer:
the answer i believe is 37.30
PLEAS PLEAS PLEAS HELP ME!!!!!!!!!!!!!!!
The Garcias are on their way to the beach. They are traveling at
a rate of 30 miles per hour. Use the ordered pairs to graph the
distance traveled over time.
Answers
Answer:
draw a line for the plotted points and put an arrow at the end, see my answer
Step-by-step explanation:
please click the heart button to give thanks for my work! :)
if John owes 300 dollars and pays 50 a week what are the dependent and independent variables
Answers
Pls help me with number 4.)
Answers
Answer:
4 x [tex]\frac{3}{2}[/tex] = 6
Step-by-step explanation:
The division equation would be 4 divided by 2/3, but that is equal to 4 x 3/2 = 6.
Hope it helps! (I'm so sorry if it's wrong).
Answer:
2.66
Step-by-step explanation:
2/3 of 4 is the same as:
2/3 * 4 = (2/3) * (4/1)
By the rules for multiplying fractions, this is (2*4) / (3*1) = 8/3
8/3 is 2.66