Answer:
$98,969Step-by-step explanation:
$66,200 - the median selling price of a home in 1985
and the price increased by 30%:
66,200•30% = 66,200•0.3 = 19,860
66,200 + 19,860 = 86,060
$86,060 - the median selling price of a home in 1990
and the price increased by 15%
86,060•15% = 86,060•0.15 = 12,909
86,060 + 12,909 = 98,969
$98,969 - the median house price in Atlanta in 2005
How to solve this pythagoras theorem
Answer:
see explanation
Step-by-step explanation:
The hypotenuse is the longest side thus is (4x + 1)
The legs are 2x and (4x - 1)
Using Pythagoras' theorem, then
(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors
16x² + 8x + 1 = 4x² + 16x² - 8x + 1 , that is
16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )
- 4x² + 16x = 0 ( multiply through by - 1 )
4x² - 16x = 0 ← factor out 4x from each term
4x(x - 4) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
Now x > 0, thus x = 4
2x = 2(4) = 8
4x - 1 = 4(4) - 1 = 16 - 1 = 15
4x + 1 = 4(4) + 1 = 16 + 1 = 17
Thus
perimeter = 8 + 15 + 17 = 40 cm
prove that [tex]2/\sqrt{3} cosx + sin x= sec(\pi /6-x)[/tex]
Answer:
sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx) = L.H.S.
Step-by-step explanation:
sec(π/6 - x) = 1/cos(π/6 - x)
Using compound angle formula,
cos(A - B) = cosAcosB + sinAsinB where A = π/6 and B = x.
So, cos(π/6 - x) = cos(π/6)cosx + sin(π/6)sinx , cosπ/6 = √3/2 and sinπ/6 = 1/2
cos(π/6 - x) = cosπ/6cosx + sinπ/6sinx = (√3/2)cosx + (1/2)sinx
sec(π/6 - x) = 1/cos(π/6 - x)
= 1/(√3/2)cosx + (1/2)sinx = 2/(√3cosx + sinx)
= L.H.S
So, sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx) = L.H.S
If each of the 4 shelves holds 14 movies, how many movies does Betty have on her shelving unit? Show your work.
Answer:
62
Step-by-step explanation:
4x + 6
4(14) + 6 (substituting x = 14)
56 + 6
62
Plz HELP !!!!! I would appreciate it!!!
Answer/Step-by-step explanation:
a. The sides of ∆ABC can be labelled as follows, taking θ as the reference point.
Adjacent = side AB
Opposite = side BC
Hypotenuse = side AC
b. I. "<B is an acute angle" => FALSE. It is a right angle (90°)
II. "The side opposite to <C is BC" => FALSE. The side opposite to <C is AB.
III. The side adjacent to <A is AB => TRUE
IV. The side opposite to <B is not the longest. => FALSE. It is the hypotenuse and the longest side.
c. Cos θ = [tex] \frac{adjacent}{hypotenuse} = \frac{AB}{AC} [/tex]
Tan θ = [tex] \frac{opposite}{adjacent} = \frac{BC}{AB} [/tex]
d. Sin C = [tex] \frac{opp}{hypo} = \frac{AB}{AC} [/tex]
Cos C = [tex] \frac{adjacent}{hypotenuse} = \frac{BC}{AC} [/tex]
Tan C = [tex] \frac{opp}{adjacent} = \frac{AB}{BC} [/tex]
solve for x 3(x+2) = 12
Answer:
x=2
Step-by-step explanation:
3(x+2) = 12
Divide by 3
3/3(x+2) = 12/3
x+2 = 4
Subtract 2 from each side
x+2-2 = 4-2
x =2
Answer:
The value of x is equal to 2.
Step-by-step explanation:
3(x + 2) = 12
Distribute 3 to (x + 2)
3x + 6 = 12
Subtract 6 from both sides of the equation.
3x = 6
Divide 3 on both sides of the equation.
x = 2
The value of x is 2
Last week, 17 employees exceeded their sales quota, 13 employees met their sales quota, and 3 employees didn't meet their sales quota. Express the number of employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota. Question 11 options: A) 3:13 B) 16:17 C) 17:16 D) 17:33
Answer:
17:16
Step-by-step explanation:
Number of employees exceeded their sales quota = 17
Number of employees met their sales quota = 13
Number of employees didn't exceed their sales quota = 3
Now, we need to find the ratio of the number employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota.
WILL AWARD BRAINLIEST IF CORRECT!!!!! ALSO PLEASR HURRY I'M ON A TIMER!! Which graph represents the following piecewise defined function? (images attatched)
Answer:
The last one.
Step-by-step explanation:
For x>3, the graph should start at x=3 and y = 2*3-3 = 3 with an open circle, since x must not be equal to 3.
The last graph is the only one that has that.
Furthermore, the middle part is a straight line from -2 ≤ x ≤ 3. The 'or equals' part in there reveals that the straight line segment should have closed circles, all solutions that don't have that can be discarded. So that hint alone points you to the last solution.
100 2/3 as a decimal
Answer:
100.66 is the decimal.
Step-by-step explanation:
100⅔ = 302/3
302 ÷ 3 = 100.66 to infinity.
A. 19
B. 20
C. 15
D. 25
Help please !!
Answer:
A
Step-by-step explanation:
50 POINTSS!! While preparing a roof, patty drops a screwdriver from a height of 80 feet. The function (h)t = -16t^2 + 80 gives the height of the screwdriver in the feet as feet after t seconds during its fall. Which of these is the graph of the function
Answer:
Graph D
Step-by-step explanation:
(h)t = -16t^2 + 80
At time t = 0 the screwdriver is at 0+80 =80 ft
As time increases the height will decrease so we can eliminate graph B
We know this is a downward parabola by the - in front of the t^2 so we can eliminate graph A
We need to find where it meets the x axis
0 = -16t^2 + 80
-80 = -16t^2
5 = t^2
t = sqrt(5)
t =2.23
This is Graph D
Pete earns graduated commission on his sales each month. He earns 7% commission on the first $35,000 in sales and 9% on anything over that. If Pete had $43,000 in sales this month, how much commission did he earn?
a. $2,610
b. $3,170
c. $3,870
d. $6,880
Please select the best answer from the choices provided A B C D
Answer:
b.$3170
Step-by-step explanation:
43,000-35,000=8,000
SO you would find 9% commission on 8,000
8,000x.09=720
then, you would find his normal commission if he only made 35,000
so you would do 35,000x.07=2450
you would, then, add the two together to get his entire commission, which is $3170
Answer:
b
Step-by-step explanation:
Please help correct answer gets brainliest.
Answer:
C. The charge of each minute of a call is $0.40
Step-by-step explanation:
We look at the point (1, 0.4)
We know that our x = 1 is 1 minute of the call.
We know that y = 0.4 is the cost when 1 minute of the call has elapsed.
Therefore, our answer is C.
Answer:
Step-by-step explanation:
The answer is (c)
The price goes up $0.40 every minute Greg is on a call.
collen family plans to paint the window of their house. her father will paint twice as many window as her mother, and collen and her 2 brothers will paint an equal number of the rest of the windows
Answer:
21 windows
Step-by-step explanation:
colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?
Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y
Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).
Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7
Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows
A. (-2,-1)
B. (-1,-2)
C. (1.-2)
D. (2,-1)
Answer:
D. 2,-1
Step-by-step explanation:
When a line is reflected by y=x, the x and y switch.
convert American $553 in Nepal rupees
Answer:
65,994.52 Nepalese Rupee
Step-by-step explanation:
using conversion rate 1 usd = 119.74 nepalese rupee
553*119.74
Which pairs of polygons are congruent?
Answer:
pair3
Step-by-step explanation:
it is when they have same number of sides .
Answer:
1 and 3.
Step-by-step explanation:
Pair 1 and pair 3.
If we reposition one of them we see that it exactly fits onto the other.
Helppp thank you!!!!!
Answer:
D
Step-by-step explanation:
x is greater than 12:
[tex]x>12 \text{ or } 12<x[/tex]
and x is less than or equal to 3 times the value of y:
[tex]12<x\leq 3y[/tex]
We can divide everything by 3:
[tex]4<\frac{x}{3} \leq y[/tex]
A result of a number, what decreased by 15% equal 161. Find that number.
Answer: 189.41
Step-by-step explanation: Let’s take the number as n and if nx(100-15)/100=161 then 85n/100=161 and therefore n= 181.4117
I don’t know why the answer is in decimal as mostly it won’t be. Maybe you have made a mistake with the question so pls do check the question too!
zero of the function f(x)=3x/x2-9
Answer:
It should equal zero or seven. I think is zero
If the production rate is 975 brownies per hour at a bakery, how many brownies will be produced in an 8 hour shift?
Answer:
[tex]\large \boxed{\mathrm{7800 \ brownies}}[/tex]
Step-by-step explanation:
975 brownies are produced per 1 hour.
To find how many brownies are produced in 8 hours, multiply the brownies amount by the hours.
975 × 8 = 7800
7800 brownies will be produced in an 8 hour shift.
Answer:
the answer is 7800
Step-by-step explanation:
975 brownies are created per 60 minutes.
To discover what number of brownies are created in 8 hours, duplicate the brownies sum continuously.
975 × 8 = 7800
7800 brownies will be created in a 8 hour move.
Question 13 of 25
Which of the following is a correct name for a side of the given angle?
D
E
A. Point E
B. ED
C. DE
D. Point D
this graph shows the solution to which inequality (3 3) (-3 -1)
Answer:
B
Step-by-step explanation:
since the graph shows dotted line the sign has to be < or > so C and D eliminated from your answer
y>2/3 x +1 is your answer (B)
Answer:
[tex] \boxed{y > \frac{2}{3} x + 1}[/tex]Option B is the correct option.
Step-by-step explanation:
point ₁ ( - 3 , - 1 ) x₁ = - 3 , y₂ = - 1
point ₂ ( 3 , 3 ). x₂ = 3 , y₂= 3
Now, let's find the slope:
Slope ( m ) = [tex] = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] = \frac{3 - ( - 1)}{3 - ( - 3)} [/tex]
[tex] = \frac{3 + 1}{3 + 3} [/tex]
[tex] = \frac{4}{6} [/tex]
[tex] = \frac{2}{3} [/tex]
At ( 3 , - 1 )
y = mx + c , where m is the gradient / slope amd c is called the intercept on y-axis
[tex] - 1 = \frac{2}{3} \times ( - 3) + c[/tex]
Solve for c
[tex] - 1 + 2 = c[/tex]
[tex]c = 1[/tex]
Since, The red line is dotted line. Therefore it does not include the equal to part. And the shaded region is upper part. Hence, ' > ' should be used.
The answer would be:
[tex]y > \frac{2}{3} x + 1[/tex]
Hope I helped!
Best regards!
Dante is baking two different recipes, cookies and brownies. The cookie recipe requires 1.5 cups of sugar, and the brownie recipe requires 1.25 cups of sugar. Write an addition equation to represent the total amount of sugar Dante needs. Enter your answer as an addition equation, like this: 42+(-53)=-11
Answer:
2.75 cups of sugar
Step-by-step explanation:
Hello!
To find the total amount of sugar Dante needs we need to add the amount need for each recipe
Cookie recipe needs 1.5 cups
Brownie recipe needs 1.25 cups
1.5 + 1.25 = 2.75 cups of sugar
The answer is 2.75 cups of sugar
Hope this helps!
Answer:
the answer is 1.5+1.25=1.75
Step-by-step explanation:
i just added them together
your welcome ( it also depends on how many times he uses the recipes)
MATH QUESTION : As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by 1/3 five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?
Answer:
5/3
Step-by-step explanation:
5×(10×1/3)
=10×5/3
=since 5×(10×1/3) gives 50/3 so thus 10×5/3.
The fraction is therefore 5/3
Tres amigos quieren abrir una empresa dedicada al reciclaje de plasticos. Para eso deben contar con $72.000. Uno de los amigos aporto 1/3 de dinero necesario para abrirla, el segundo aporto una cantidad equivalente a los 5/6 del resto.¿cuanto dinero aporto el tercer amigo?¿Cual de los tres hizo el mayor aporte?¿cuanto mas puso en relación con que el que aporto menos?
Answer:
a) ¿cuanto dinero aporto el tercer amigo?
= $ 8,000
b) ¿Cual de los tres hizo el mayor aporte?
El segundo amigo hizo la mayor contribución.
c)¿cuanto mas puso en relación con que el que aporto menos?
El tercer amigo hizo la menor contribución
Step-by-step explanation:
De la pregunta, se nos dice:
Dinero total requerido: $ 72,000
El primer amigo contribuyó: 1/3 si el dinero era necesario
Por lo tanto, el primer amigo contribuyó:
1/3 × $ 72 000 = $ 24 000
El segundo amigo contribuyó con 5/6 del resto
La fracción que representa el resto = 1 - 1/3 = 2/3
Por lo tanto, el segundo amigo contribuyó = 5/6 de 2/3 = 5/6 × 2/3 = 5/9
La fracción de la cantidad de dinero que contribuyó el segundo amigo = 5/9
Por lo tanto, la cantidad que contribuyó el segundo amigo =
5/9 × $ 72 000 = $ 40 000.
a) ¿cuanto dinero aporto el tercer amigo?
Esto se calcula como:
$ 72,000 - ($ 24,000 + $ 40,000)
$ 72 000 - $ 64 000
= $ 8,000
Por lo tanto, el tercer amigo aportó $ 8,000.
b) ¿Cual de los tres hizo el mayor aporte?
Del cálculo anterior:
El primer amigo = $ 24,000
Segundo amigo = $ 40,000
Tercer amigo = $ 8,000
Por tanto, el segundo amigo hizo la mayor contribución.
c) ¿cuanto mas puso en relación con que el que aporto menos?
Del cálculo anterior:
El primer amigo = $ 24,000
Segundo amigo = $ 40,000
Tercer amigo = $ 8,000
Por lo tanto, el tercer amigo hizo la menor contribución.
PlZ HELP NOW ASAP!!!
Answer:
x=33
Step-by-step explanation:
x for ?
sinx=opposite/hypotenuse
sinx=162.5/298=0.54530201
convert to degrees using arcsin(0.54530201)= 33.043
33 degrees rounded to the nearest ones
Which recrusive formula can be used to generate the sequence shown, where f(1)=5 and n>=1 5,-1,-7,-13,-19
Answer:
a_n = 11 - 6n
Step-by-step explanation:
you can observe every next element is smaller then the previous one by 6
a_n = 5 - 6*(n-1)
a_n = 5 - 6n + 6
a_n = 11 - 6n
2 + 8(x + 2) = 52
a 3
b 1
C2
d 4
Step-by-step explanation:
[tex]2 + 8(x + 2) = 52 [/tex]
[tex]2 + 8x + 16 = 52[/tex]
[tex]8x + 18 = 52[/tex]
[tex]8x = 52 - 18[/tex]
[tex]8x = 32[/tex]
[tex]x = \frac{34}{8} [/tex]
[tex]x = 4.25[/tex]
Hope it helps u
-3x+2y=6 Find the intercepts. Show your work.
Answer:
The x-intercept is (-2,0)
The y-intercept is (0,3)
Step-by-step explanation:
An x-intercept is the point when the graph crosses the x-axis. In other words, the y-coordinate of the x-intercept is 0 (since it lays on the x-axis). In other words, to solve for the x-intercept(s), plug in 0 for y and solve for x:
[tex]-3x+2y=6\\-3x+2(0)=6\\-3x=6\\x=-2[/tex]
So, the x-intercept is (-2,0).
Likewise, the y-intercept is the point when the graph crosses the y-axis. Because it's on the y-axis, the x-coordinate value would be 0. Thus, to find the y-intercept, plug in 0 for x and solve for y:
[tex]-3x+2y=6\\-3(0)+2y=6\\2y=6\\y=3[/tex]
Thus, the y-intercept is (0,3).
How many solutions does the following equation have? 4(y-30)=4y+124(y−30)=4y+12
Answer:
A. No solution
Step-by-step explanation:
Choose 1 answer:
A. No solutions
B. Exactly one solution
C. Infinitely many solutions
Solution
Given:
4(y-30)=4y+12
Open parenthesis
4y-120=4y+12
Collect like terms
4y-4y=12+120
0=142
There is no solution to the equation, therefore, the answer is A
