Answer:
40%
Step-by-step explanation:
We would use an example
assume the price of the radio is 100
After the initial price reduction, it would be worth (100 - 20%) 80% of the price
0.8 x 100 = 80
After second price reduction it would be worth (100 - 25% ) 75% of the price
0.75 x 80 = 60
Price change = (new price after all the discounts / original price) - 1
(60/100) - 1 = -0.4
express y= x² + 2x + 3 in the form of y= (x-h)² + k
Given:
The equation is
[tex]y=x^2+2x+3[/tex]
To find:
The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].
Solution:
We have,
[tex]y=x^2+2x+3[/tex]
It can be written as
[tex]y=(x^2+2x)+3[/tex]
Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].
[tex]y=(x^2+2x+1)-1+3[/tex]
[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]
[tex]y=(x+1)^2+2[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].
What is the equation of the line that goes through the points (4,-1) and
(2,3)?
Answer:
y = -2x + 7
Explanation:
y = mx + b
m = slope
b = y-intercept
y = a given y coordinate
x = a corresponding x coordinate
First, we need to find the slope (m).
1) (4, -1)
2) (2/3)
m = slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{3-(-1)}{2-4}[/tex] = [tex]\frac{4}{-2}[/tex] = -2
plug in the values to the equation y = mx + b
-1 = -2(4) + b
-1 = -8 + b
7 = b
now, we can substitute in m and b into the equation y = mx + b
y = -2x + 7
I need help with a achieve 3000 a presidents jobs
Answer:
Answer is in the photo. I can only upload it to a file hosting service. link below!
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Tracy bought a new silk shirt. The shirt is on sale for 20% off the original price. If the original price was $56, what is the sales price of the shirt.
Group of answer choices
$11.20
$48.80
$44.80
$38.80
Answer:
$44.80
Step-by-step explanation:
$56 * 0.2 (%20) = $11.20
$56 - $11.20 = $44.80
If these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest
balance of trade within this group?
a €4,378,000,000
€2,797,000,000
€1,928,000,000
d €738,000,000
Answer:
€4,378,000,000
Step-by-step explanation: just took the test :)
Answer:
A
Step-by-step explanation:
Took the test
Solve for v. v - 4.6=8.96
Answer:
v=13.56
Step-by-step explanation:
v - 4.6 = 8.96
v = 8.96 + 4.6
v = 13.56
Answer:
V=13.56
Step-by-step explanation:
hope it helps
have a great day
A girl walks 5,000 meters in one hour. If the girl walks at the same speed for 4 hours, how many kilometers will she have walked?
A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million
Answer:
The population in 2015 will be 165 million.
Step-by-step explanation:
The exponential growth formula is given by:
[tex] f(t) = a(1 + r)^{\Delta t} [/tex]
Where:
a: is the initial population
r: is the rate of increase
Δt: is the time
With the initial information we can find the rate:
[tex] 151 = 145(1 + r)^{1998-1990} [/tex]
Using logarithm:
[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]
[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]
[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]
Using exponential:
[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]
[tex] r = 5.081 \cdot 10^{-3} [/tex]
Now, we can find the estimated population in 2015:
[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]
[tex] f(t) = 165 [/tex]
Therefore, the population in 2015 will be 165 million.
I hope it helps you!
Factor fully. Pls help
Answer:
(2x+9)^2
Step-by-step explanation:
Factor the equation by using the perfect square rule: a^2+2ab+b^2=(a+b)^2 or a^2-2ab+b^2=(a-b)^2 depending on the trinomial
can u help with it plz I really need help
Answer:
let angle e be x
x+4x+10=180°[by linear pair]
5x+10=180°
5x=180-10
5x=170
x=170/5
x=34
angle E=34°
angle E+angle C+angle D=180°[by angle sum property]
34°+70°+2x=180°
104°+2x=180°
2x=180°-104
2x=76°
angle d=76°
Rick is currently 72 inches tall. He wants to compare himself to his friend who is 5 feet and 11 inches tall. How many inches taller is Rick than his friend?
Answer:
1 inch
Step-by-step explanation:
We would have to convert rick's friends height to inches
1 feet = 12 inches
Friend's height = (12 x 5) + 11 = 71 inches
Difference in height = 72 - 71 = 1
In their last game, the New England Patriots
scored 9 points in the first half. In the second
half, they scored twice the amount of points in the
first half. What is the ratio of points scored in the
second half to the total number of points scored?
Answer:
1:3
Step-by-step explanation:
.....................
Help I only have about 25 minutes left to finish this. I risk failing if I don't get this answered. I have 4 more questions after this. HELP PLZ. This is Slope Intercept form still. I will award 100 pts again
Answer:
y = 6x - 20
Step-by-step explanation:
Perpendicular slope = 6
(3, -2)
y - y1 = m(x - x1)
y + 2 = 6(x - 3)
y + 2 = 6x - 18
y = 6x - 20
Answer:
Solution given:
equation of a line is:
y=-⅛x+4.......[1]
Comparing above equation with y=mx+c
we get
slope [m]=-⅛
let slope of another line is M
since the Lines are perpendicular
so m ×M=-1
we get
M=8
again
the another line passes through(x1,y1) (3,-2)
Equation of another line becomes:
(y-y1)=m2(x-x1)
(y+2)=8(x-3)
y+2=8x-24
8x-y=24+2
8x-y=26
[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]
[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]
is a required equation of a line in slope intercept form.
6a-4b when a=5 and b=3
Answer:
18
Step-by-step explanation:
Answer:
Use substitution to receive: 18
Step-by-step explanation:
6a - 4b when a = 5 and b = 3
6(5) - 4(3)
30 - 12 = 18
Please
Please
Please
Answer:
Step-by-step explanation:
∠BEF = ∠CFE {Alternate interior angles}
5x - 10 = 4x + 20 {Subtract 4x from both sides}
5x - 4x - 10 = 20
x - 10 = 20 {Add 10 to both sides}
x = 20 +10
x = 30°
Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost \$25dollar sign, 25. Let BBB represent the number of black beards and RRR represent the number of red beards that Merlin can sell to make more money than he made last month.
Complete question :
Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost $25. Let B represent the number of black beards and R represent the number of red beards that Merlin can sell to make more money than he made last month. 20B+25R > 350 According to the inequality, how much money did Merlin make last month, and how much does each black beard cost?
Answer:
1.) > 350
2.) $20
Step-by-step explanation:
Number of black beard = B
Number red beard = R
Cost of red beard = 25
Last month inequality :
20B+25R > 350
Amount Merlin made last month :
Revenue from both red and black Bearf, Hence amount realized last year greater than 350
Cost per black beard is the Coefficient of B which is 20
Factor the GCF: −12x3y5 − 9x2y2 + 12xy3 (10 points)
−3(4x3y5 + 3x2y2 − 4xy3)
−3xy2(4x2y3 + 3x − 4y)
−3xy2(4x2y3 − 3x + 4y)
3xy2(−4x2y3 − 3x + 4y)
8
Martiza is measuring the effect a fertilizer on a field of soybeans has on the local butterfly population.
Based on her data collection, the population of butterflies in the field can be modeled by the function P(d) = 250(0.89)" where d is the number of days the
fertilizer has been applied.
Which statement best describes how the population of butterflies is changing?
>
It is increasing by 89% for each application.
B It is decreasing by 89% for each application
It is increasing by 11% for each application.
It is decreasing by 11% for each application
O 09:10
It is increasing by 11% for each application.
Help please!
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!
Answer:
b. 84.612cm
c. 314.15cm
d. 5cm
Step-by-step explanation:
b. solve for both triangles and height of rectangle using Sin
c. pi(r)h 3.1415(10)(10)
d. 3*3-2*2=5
Decrease 20g by 12.5%
Step-by-step explanation:
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Answer:
17.5 g
Step-by-step explanation:
20 g is 100% then a decrease of 12.5% is
100% - 12.5% = 87.5% = [tex]\frac{87.5}{100}[/tex] = 0.875 , then
20g × 0.875 = 17.5 g
Veronica is an English tutor. She charges $60 for each tutoring session plus $0.75 per mile that she has to drive to and from the session. Write an equation to represent this situation. Explain how you got your equation.
Answer:[tex]60+0.75x[/tex]
Step-by-step explanation:
Given
Veronica charges $60 for each tutoring session
Also, there is an additional charge of $0.75 per mile
Suppose she drive x miles and the total cost is represented by C
the additional cost of driving is [tex]0.75\times x=0.75x[/tex]
[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost
[tex]\Rightarrow C=60+0.75x[/tex]
calculate the first four terms t=3n+2
Answer:
[tex]n = \frac{t - 2}{3} [/tex]
Step-by-step explanation:
1) Subtract 2 from both sides.
[tex]t - 2 = 3n[/tex]
2) Divide both sides by 3.
[tex] \frac{t - 2}{3} = n[/tex]
3) Switch sides.
[tex]n = \frac{t - 2}{3} [/tex]
Therefor, the answer is n = t-2/3.
Your dinner bill at Best Little Roadhouse was $68.24. You left the server an 18% tip. What was your final total bill including tip and How much of a tip did you leave the server
Answer:
The total would be $80.52. The tip was $12.28
Step-by-step explanation:
18% of 68.24 is 12.2832. I just rounded and called it 12.28. From there I just added it to 68.24 and got 80.52.
Complete the statement to describe the expression ab + cdab+cda, b, plus, c, d. The expression consists of terms, and each term contains factors.
Answer:
The expression consists of two terms, and each term contains two factors.
Step-by-step explanation:
Given - Complete the statement to describe the expression ab + cd
To find - The expression consists of ....... terms, and each term contains .......factors.
Proof -
The given expression has two terms
Term I - ab
Term II - cd
Now,
Each term contains two factors
In Term I - one factor is a and another factor is b
In Term II - one factor is c and another factor is d
Definition used -
A term is a single mathematical expression.It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.
A Factor is Something which is multiplied by something else.A factor can be a number, variable, term, or a longer expression.
What is the coefficient of y in the expression 4x + y + 8 A(1) B(0) C(2) D(3)
Step-by-step explanation:
the the coefficient of y in the above expression is A(1)
I need help!! 100 points! Please don't scam, I will report and take away these points!
Answer:
A angle 7 is 6 inches
B angle 8 is 7 inches and 5 inches wide
C angle 3 is an obtuse angle, 6 inches and 9 inches wide
A right triangle has one leg of length y and hypotenuse of length x. What is the length of the other leg of this triangle
a x+y−−−−√
b x2+y2−−−−−−√
c x−y−−−−√
d x2−y2−−−−−−√
Answer:
Step-by-step explanation:
Find the value of each variable.
Answer:
a. a×3= -30
a= -30-3
a= 33
What’s the answer to this?
Answer:
<D is congruent to <B
Step-by-step explanation:
They both have the 3 lines indicated on them
The measure of angle A is equal to x degrees. The measure of angle B is equal to 95 degrees. Angles A and B are supplementary. Find m angle A
Answer:
95°
Step-by-step explanation:
Since both angles are supplementary, they have the same degree.
If angle B = 95°, angle A is also = 95°
