Answer:
A) both functions are linear
B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000
C) House 2 will value $106894.4 more than house 1.
Step-by-step explanation:
A) Value Increase from year 1 to year 2:
House 1: 193,606.40 - 186,160 = 7446.4
House 2: 201,000 - 190,000 = 11000
Value Increase from year 2 to year 3:
House 1: 201,350.66 - 193,606.40 = 7744.26
House 2: 212,000 - 201,000 = 11000
This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.
B) The slope is the same as the value increment from one year to the next one.
slope (m) of House 1: 7446.4
slope (m) of House 2: 11000
General formula of a line:
f(x) = mx+b
Replacing with a known point:
House 1
186,160 = 7446.4(1) + b
b = 186,160 - 7446.4 = 178713.6
equation: f(x) = 7446.4x + 178713.6
House 2
190,000 = 11000(1) + b
b = 190,000 - 11000 = 179000
equation: f(x) = 11000x + 179000
C) Replacing x = 30 into each equaiton:
Value of House 1 after 30 years
f(x) = 7446.4(30) + 178713.6 = 402105.6
Value of House 2 after 30 years
f(30) = 11000(30) + 179000 = 509000
Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.
Art class has 444 tables. There are 999 pencils at each table.
Ava multiplied 4\times94×94, times, 9 to find the total number of pencils.
Finn multiplied 9\times49×49, times, 4 to find the total number of pencils.
Who is correct?
Choose 1 answer:
Answer:
Both Ava and Finn are correct
Step-by-step explanation:
There are 4 tables and 9 pencils at each table
4 ( 9) = 36
9 * 4 = 36
Both Ava and Finn are correct
The perimeter of a rectangular park is 300 feet. The length of the park is 10 feet longer than the width.
Find the length of the park.
What is the length of the park?
feet=?
Answer:
80 ft
Step-by-step explanation:
width = w
length = w+10
Perimeter of a rectangle
P = 2(l+w)
300 = 2(w+10+w)
300 = 2(2w+10)
Divide by 2
300/2 = 2/2(2w+10)
150 = 2w+10
Subtract 10
150-10 = 2w+10-10
140 = 2w
Divide by 2
140/2 = 2w/2
70 = w
l = w+10
l = 70+10
w = 80
please solve this ASAP. I need this done but I can't figure it out
Answer:
x = 61
Step-by-step explanation:
Supplementary angles add up to 180 degrees. We can create an equation and solve for x.
(2x + 6) + (x - 9)= 180
~Combine like terms
3x - 3 = 180
~Add 3 to both sides
3x = 183
~Divide 3 to both sides
x = 61
Best of Luck!
Can u help solve this
Answer:
2
Step-by-step explanation:
slope = rise/run
rise = difference in y
run = difference in x
slope = (8 - 2)/(3 - 0)
slope = 6/3
slope = 2
Please help me!!!!!
What are the answers
Answer:
y=3x
Step-by-step explanation:
The equation of the line is y=3x
a particle P moves in a straight line such that, t s after leaving a point O, its velocity v ms^-1 is given by v=36t - 3t^2 for t>_ 0
1) find the value of t when the velocity of P stops increasing
2)find the value of t when P comes to instaneous rest
3) find the distance of P from O when P is at instaneous rest
4) find the speed of P when P is again at O
Answer:
jajjskslslskjsjxjj k k
Wich graph is the result of the reflection f(x) =1/4(8)^x across the y axis and then across the x- axis
Answer:
I assume that the function is:
[tex]f(x) = \frac{1}{4}*8^x[/tex]
Now let's describe the general transformations that we need to use in this problem.
Reflection across the x-axis:
For a general function f(x), a reflection across the x-axis is written as:
g(x) = -f(x)
Reflection across the y-axis:
For a general function f(x), a reflection across the y-axis is written as:
g(x) = f(-x)
Then a reflection across the y-axis, and then a reflection across the x-axis is just:
g(x) = -(f(-x)) = -f(-x)
In this case, we have:
[tex]f(x) = \frac{1}{4}*8^x[/tex]
then:
[tex]g(x) = -f(-x) = -\frac{1}{4}*8^{-x}[/tex]
Now we can graph this, to get the graph you can see below:
How do I solve this: 12v + 10v + 14 = 80
Answer:
v = 3
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
12v + 10v + 14 = 80
Step 2: Solve for v
Combine like terms: 22v + 14 = 80[Subtraction Property of Equality] Subtract 14 on both sides: 22v = 66[Division Property of Equality] Divide 22 on both sides: v = 3after 2 years the population of a town will be 33620 at the population growth rate of 2.5% pa find the present population of the town.
Answer:
Step-by-step explanation:
The standard form of an exponential equation is [tex]y=a(b)^x[/tex] where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.
[tex]33620=a(1.025)^2\\33620=1.050625a[/tex] so
a = 32000
The initial population is 32000
Can somebody please help me?
Answer:
use Pisagor teorem
Step-by-step explanation:
The line which start on the edge and divided other side 64 and 36 be Y and we use Pisagor teorem so Y²=64*36...... y=8*6=48 .................(1)
use other triangle to find hipotenus 48²+36²=x² .... x= 60
- 100
-V4
L.A.1
ints
3. What is the simplest form of
a. -51
b. 25i
c. -251
d. 5i
Answer:
- 5i
Step-by-step explanation:
sqrt(-100) / -sqrt(4)
We know that sqrt(a) / sqrt(b) = sqrt(a/b)
- sqrt(-100/4)
- sqrt(-25)
We know that sqrt(ab) = sqrt(a) sqrt(b)
- sqrt(25) sqrt(-1)
We know sqrt(-1) = i
Taking the principle value of sqrt(25)
- 5i
what is (-5x-3y) - (-x-3z)
Answer:
-4x-3y+3z
Step-by-step explanation:
(-5x-3y)-(-x-3z)
-5x+x-3y+3z
-4x-3y+3z
1. Find(x) + g(x)
4 options to pick from
10. A moving van company charges a fee of 35.00 dollars for the truck rental and 25 cents for every mile the truck travels from the loading location. Let y be the cost in dollars for using the truck for x miles. Write the slope-intercept form of the equation.
Answer:
y=0.25x+35
Step-by-step explanation:
if the truck doesn't have to travel at all, it costs $35 for the loading fee, so the y-intercept is (0, 35). As x increases by 1, y increases by 0.25, so the slope is 0.25. Therefore, the equation is y=0.25x+35
Answer:
y = .25 x + 35
Step-by-step explanation:
Total cost = cost per mile * number of miles * flat fee
y be the cost in dollars
x = miles
y = .25 x + 35
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3
Answer:
Step-by-step explanation:
Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3
can uh help me in this
Answer:
Step-by-step explanation:
b) a² - 1 + b(b - 2a) = a² -1 + b*b - b*2a {distributive property}
=a² - 1 + b² - 2ab
= (a² - 2ab + b² ) - 1
= (a - b)² - 1² {use identity x²-y²= (x+ y)(x -y)}
= (a - b + 1)(a -b +1)
b) 15 +8y + y² - 2x - x² = (y² + 8y + 15) - x² - 2x
= (y² + 5y + 3y + 15) - x(x + 2)
= [ y(y + 5) + 3(y +5)] - x(x + 2)
= [(y + 5)(y+3) ] - x(x +2)
what is the predecessor of -36
Answer:
-35
Step-by-step explanation
A predecessor is something that came before the current version, and -36 is negative so before -36 is -35
Answer:
the correct answer is -34
Step-by-step explanation:
A predecessor is something that came before the current version.
hope it helps you
order the equations by the steepness of the slopes of their graphs from greatest fj least.
30 POINTS
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
40.
PLEASE GIVE EXPLANATION
Answer:
3.61%
Step-by-step explanation:
Mathematics, calculator
Answer:
Step-by-step explanation:
If we are looking for the probability that the battery lasts between 7 and 8 years, we find the z-score for the probability that it lasts less than 8 years, and then subtract from it the z-score for the probability that it lasts less than 7 years. This subtraction will give you what's left: the span in between 7 and 8 years. To find the z-score:
[tex]z=\frac{x_i-\mu}{\sigma}[/tex] Therefore,
P(x < 8) has a z-score of
[tex]z=\frac{8-5}{1.2}=1.667[/tex] The p-value that accompanies this z-score is .99379 (which translates to 99.379% of the data falling below 8 years) and
P(x < 7) has a z-score of
[tex]z=\frac{7-5}{1.2}=2.5[/tex] The p-value that accompanies this z-score is .95224 (which translates to 95.224% of the data falling below 7 years).
Subtract the p-value of 2.5 from the p-value of 1.667 to get
.99379 - .95224 = .04155 = 4.16%, choice A.
rule. L1
b)
I
R = (24, 28)
S = (4, 20)
Q = (28, 12)
P = 8,4)
R' = (36, 4)
S = (16,-4)
*Q' = (40, -12)
P' = (20, -20)
Determine the transformation rule for the translation
from PQRS to P'QʻR'S'
Answer:
(x+12, y-24)
Step-by-step explanation:
The rule is (x, y) -> (x+12, y-24)
13 = 2m + 5
whats m?
Answer:
M is 4
Step-by-step explanation:
in order to solve, 13=2m+5, you need to subtract 5 from both sides.
13=2m+5
-5 -5
Which is,
8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.
Show that 1.272727... = 1.27 can be expressed in the form , where p and q are integers and q not equal to 0.
Answer:
Hello,
Step-by-step explanation:
[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]
One other way:
Let say x=1.272727...
100x=127.272727...
x=1.272727...
99x=126
x=126/99
x=14/11
While standing outside Carmen's Computer Store,Phyllis noticed that 14 people left the store and 10 people entered the store. Later, 5 more people entered and 13 people left.What was the net increase or decrease in the number of people in Carmen's Computer Store? A. An increase of 12 / B. decrease of 12 C. an increase of 42 / D . decrease of 42
Answer:
B. decrease of 12
Step-by-step explanation:
Number of people who left the store = 14
Number of people who entered the store = 10
Again,
Number of people who left the store = 13
Number of people who entered the store = 5
Total people who left the store = 14 + 13
= 27 people
Total people who entered the store = 10 + 5
= 15 people
Number of people remaining in the store = Total people who entered the store - Total people who left the store
= 15 - 27
= -12
This means there is a net decrease in the number of people in Carmen's Computer Store
Find the area of the following composite figure. Assume angles that look like they are a right angle are
right angles.
14 in
14 in
Q
Leave your answer in terms of . For example your answer might to 98 + 107.
square inches
NOTE: Figures are NOT to scale.
Answer:
7π + 7π + 196 ( could also be 14π + 196)
Step-by-step explanation:
14 is the length of the square. However it is also the diameter of the circle.
If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.
After finding 7π for one half a circle you do the same for the other and also get 7π
After finding the 2 half circles find the square which is 14 x 14 = 196
196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π
PLZZZ HELPPPPP, HAVE 10 MORE QUESTIONS AND NEED TO FINISH IN 5 MINS
Answer:
2 cups
Step-by-step explanation:
It would be 1/2 times 4, which would be 2 cups of lime juice.Set up the appropriate trigonometric ratio to determine the value of the safety angle.
Step-by-step explanation:
sin/cos=tan theta.It is the value of the safety angle
A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answer: 133,827 lb/ft^3
Step-by-step explanation:
V = (4/3) (3.14)(8^3) = 133,827
Y+y+y+y rewrite in multiplication
Answer:
4y
Step-by-step explanation:
y+y+y+y
= (1+1+1+1) y
= 4y
Answer:
4y
Step-by-step explanation:
Y+y+y+y
Combine like terms
4y
HURRY PLEASE
1 To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team.
Answer:
n = ≥500
Step-by-step explanation:
They must be able to swim 500 yards or more.
Which of the following terms describes the measure indicated by the black
arrow below?
A. Mean
B. Minimum
C. Range
D. Median
Answer:
mean
Step-by-step explanation:
The mean is the center of a normal distribution