Answer:
The given parameters of the investment are;
The rate of decrease of the investment, r = -10%
The original amount of the investment, P = $75.00
Let 'A' represent the final answer (value of the investment) after the decrease in the investment, 'r', is applied, we have;
The algebraic equation that can be used to arrive at the final answer, 'A', is given as follows;
A = P + r·P
Therefore by substituting the given values, we have;
A = $75.00 + (-10/100) × $75.00 = $75.00 - 0.1 × $75.00 = $75.00 - $7.50
A = $75.00 - $7.50 = $67.50
The final amount or answer, A = $67.50
Step-by-step explanation:
(2,-2) (5, 9) (5, -7) (1.4)
Estimate the equation of the line of best fit for the following graphs.
Step-by-step explanation:
the one on the left (b)
y= mx+b
at x= 0 y = -2
then b= -2
at x= -1 y= 1
1= -m -2
m= -3
y= -3x -2
......
the one on the right side (d)
at x= 2 y = 1
at x= 4 y = 2
1= 2m+b
2= 4m +b
subtract
1= 2m
m= 1/2
y= 1/2 x
(x-h)^2+(y-k)^2=r^2
Derive standard form of an equation of a circle with center C(5,2) and radius r=4, using the Pythagorean theorem.
Answer:
(x-2)^2 + (y - 5)^2 = 16
Step-by-step explanation:
Given the standard form of an equation of a circle
(x-h)^2+(y-k)^2=r^2
If (h, k) = (5,2) and r = 4
Substitute
(x-2)^2 + (y - 5)^2 = 4^2
(x-2)^2 + (y - 5)^2 = 16
Hence the required equation is (x-2)^2 + (y - 5)^2 = 16
Directions: Solve the problem
There are 46 learners in 7-Sampaguita class consisting of 17 boys and 29 girls
Express the ratio of the following
With
Solution
Answer:
29:17
17:46
29:46
17:29
Step-by-step explanation:
In this problem, we are given three quantities and all we have to do is to write ratios relating two of them. Since all the numbers are relatively prime, we can no longer simplify the ratios.
Problem 1:
29 girls is to 17 boys
29:17
Problem 2:
17 boys is to 46 learners
17:46
Problem 3:
29 girls is to 46 learners
29:46
Problem 4:
17 boys is to 29 girls
17:29
In these problems, it's usually as simple as putting two or three numbers together and reducing them into simplest form.
(credits to ethananilovnorcio for the answer)
Need help quick!! Cant figure this out
Answer:
The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.
Step-by-step explanation:
Physically speaking, average speed ([tex]\bar v[/tex]), measured in miles per hour, is the distance travelled ([tex]\Delta s[/tex]), measured in miles, divided by time ([tex]\Delta t[/tex]), measured in hours. That is:
[tex]\bar v = \frac{\Delta s}{\Delta t}[/tex] (1)
The time needed by the vehicle is:
[tex]\Delta t = 72\,min\times \frac{1\,h}{60\,min}[/tex]
[tex]\Delta t = 1.2\,h[/tex]
If we know that [tex]\Delta s = 143\,mi[/tex] and [tex]\Delta t = 1.2\,h[/tex], then the average velocity of the car is:
[tex]\bar v = \frac{143\,mi}{1.2\,h}[/tex]
[tex]\bar v = 119.167\,\frac{m}{s}[/tex]
The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.
Priya has a recipe for banana bread. She uses
4 1/2
cups of flour to make 3 loaves of banana bread.
Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.
Which of these equations represents the relationship between b and f?
b = (2/3)
Ob = (3/2)f
O b = (2/9)f
O b = (9/2)f
Answer:
(3/2)f
it doesn't really show me a good copy of the question but I hope you found this helpful
can someone please help its due soon.ill give brainliest!
Answer:
8.5
Step-by-step explanation:
DE is 2 but when raised to AB is 2.5, therefore EC (8) will be 8.5 when raised to BC
please help me please I really need the answer worth 20 points
Answer:
3:1, 24 gallons blue 8 gallons yellow
Step-by-step explanation:
Jenny will use 24 gallons of blue paint and 8 gallons of yellow paint
Their ratio is 24:8 = 3:1
Write the slope-intercept form of the equation of the line through the given points.
through: (0,0) and (3,3)
Answer:
Slope: 1
Y-intercepts : (0,0)
Step-by-step explanation:
Y= x
Hurryyyy plzzz answer
The frosting recipe called for 7/8 of a 16 ounce bag
of sugar. How many ounces of sugar does the recipe
call for?
Answer:
the answer is 14 ounces of sugar
what is the constant term this equation
Answer:
there is no constant term. it contains a variable x. in this 1 is coefficient of x.
Help with number 20.
Which of these lines would be perpendicular to a line with a slope of 2/5?
Answer:
The slope of a line perpendicular to the given line will be –5/2
Step-by-step explanation:
Perpendicular lines will have a slope which is the opposite (switch from positive to negative or vice-versa) and the reciprocal (invert the fraction)
Pls help
(Show your work pls!)
1. Solve for w
21+2w=p
2. Solve for a
2a+b=c
3. Solve for a
b-2a=c
1.
Step 1: Flip the equation.
p=2w+21
Answer:
p=2w+21
2.
Step 1: Add -b to both sides.
Step 2: Divide both sides by 2.
Answer:
a= −1 /2b+1/2 c
3.
Step 1: Add 2a to both sides.
−2a+b+2a=c+2a
b=2a+c
Answer:
b=2a+c
Solve for X
2x-10/4 = 3x
X=-10
X=-1
X=2
X=11
Answer:
-5/2
Step-by-step explanation:
2x-10/4=3x
10/4=2x-3x
5/2=-x
x=-5/2
3(2h+5)+4 so i dont get what it is, can someone help please?
Answer:
An linear equation in one variable
Step-by-step explanation:
Variable:h
Equation:6h+19
One batch of cookies calls for 5 cups of flour for every 3 cups of chocolate chips. How many cups of flour should be used for 27 cups of chocolate chips?
I need help with this question
Answer:
A i jus did this
Step-by-step explanation:
GIve Brainlest Please
pls help me with mark and will mark
Answer:
2/3
Step-by-step explanation:
To solve slope: y2- y1/ x2 -x1.
Two points can be (0,6) and (3,8)
8-6/3-0 ---> 2/3
Answer:
2/3
Step-by-step explanation:
P and Q are points on the line 4x + 2y = 8
a) Complete the coordinates of P and Q.
P(o,) QC ,0)
8
7 케
6
b) Plot points P and Q on the graph.
Use the tool to plot the coordinates.
5 4
92
c) Draw the line 4x + 2y = 8 for values
of x from -2 to 3.
2
1
-3 -2 -1o
Answer:
Step-by-step explanation:
p=4
Q=2
plot an x onto the 4 on th y line and a 2 on the x line
then draw a horizontal line with the ruler provided through 4 and 2
hope it helps :)
The solution to the equations are
a) The coordinates of point P is P ( 0 , 4 ) and Q is Q ( 2 , 0 )
b) The graph is plotted with points P and Q
c) The equation of line is 4x + 2y = 8
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
4x + 2y = 8 be equation (1)
Now , the coordinates of the point P = P ( 0 , y )
The coordinates of the point Q = Q ( x , 0 )
Substituting the values in the equation , we get
when x = 0
4 ( 0 ) + 2y = 8
2y = 8
y = 4
So , the coordinates of the point P = P ( 0 , 4 )
when y = 0
4x + 2 ( 0 ) = 8
4x = 8
x = 2
So , the coordinates of the point Q = Q ( 2 , 0 )
Now , the equation of line is 4x + 2y = 8
when x = { -2 , -1 , 0 , 1 , 2 , 3 }
The values of y are y = { 8 , 6 , 4 , 2 , 0 }
So, the line is plotted in the graph
Hence , the equation of line is 4x + 2y = 8
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ5
3x + 2y = 12
-x + 5y = 13
Solve by elimination
Y and x
Answer:
x = 2 y = 3
Step-by-step explanation:
Ivan and tanya share £150 in the ratio 4 : 1 work out how much more ivan gets compared to tanya.
Answer:
Ivan receives £120 more than Tanya.
Step-by-step explanation:
Total Money = £ 150
Ratio = 4:1
This means that Ivan gets 4x of £150 and Tanya gets 1x of £150.
Ivan's money = 4x
Tanya's money = 1x
Now, we know that total money is equal to the sum of Ivan's & Tanya's money.
Total money = Ivan's money + Tanya's money
£ 150 = 4x + 1x
£ 150 = 5x
150/5 = x
30 = x.
We have found the value of x, now we can substitute 30 in the place of x and find the money Ivan and Tanya get.
Ivan = 4x = 4×30 = £120.
Tanya = 1x = 1×3 = £30.
So, Ivan receives more money. But how much more? We can solve that by subtracting Tanya's money from the total amount.
Total amount - Tanya's money = 150 - 30 = £120.
So, Ivan receives £120 more than Tanya.
could you help me with the 2 questions plz
Answer:
2. 64
3. 2
Step-by-step explanation:
What is the answer!!!!!?
Answer:
<BYX = 74 degrees
Step-by-step explanation:
The sum of angles of the adjacent sides of the trapezoid is 180 degrees
Given
<A = 106 degrees
<A + <BYX = 180
106 + <BYX = 180
<BYX = 180-106
<BYX = 74 degrees
ху
2 8
3 12
4 16
5 20
Which equation represents the relationship described in the table?
es )))
A)
y = 2x
B)
y = 4x
0)
y = 3x
D)
y = -x
Donna guessed there were 400 jellybeans in a jar. There were really 480 jellybeans. What was her percent of error?
Answer:
≈83.33%
Step-by-step explanation:
400/480 = 5/6
56 * 100 = ≈83.33%
What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
Given LaTeX: \int_8^{12}f\left(x\right)dx=31,\:\:\int_8^{12}g\left(x\right)dx=-17∫ 8 12 f ( x ) d x = 31 , ∫ 8 12 g ( x ) d x = − 17 , find:
LaTeX: \int_8^{12}\left[3f\left(x\right)-2g\left(x\right)\right]dx∫ 8 12 [ 3 f ( x ) − 2 g ( x ) ] d x
Answer:
508
Step-by-step explanation:
Take a = 12 and b = 8
[tex]\int\limits^a_b {3(f(x) - 2g(x)} \, dx =\int\limits^a_b {3(31) - 2(-17)} \, dx = 508[/tex]
Your research shows that you typically receive a 24% return response from the guest satisfaction surveys you send out. How many guest satisfactions surveys will you need to send out to make certain you receive at least 300 surveys back?
Answer:
1250
Step-by-step explanation:
The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.
Calculation of the number of guest satisfaction:Since the return is received i.e. 24%
And, there are the minimum of 300 surveys
So, based on this, the no of guest satisfaction should be
[tex]= 300 \div 0.24[/tex]
= 1,750
hence, The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.
Learn more about survey here: https://brainly.com/question/22497309
PLEASEEE HURRY!!!!! will mark branliest
Answer:
Step-by-step explanation:
Option D - x + 3 is the correct answer