Answer:
11
Step-by-step explanation:
11+8=19
19x3=57
y = 2(x – 3)2 - 4
Convert to standard form
Answer:
4x - y = 16
Step-by-step explanation:
y = 2(x – 3)2 - 4
When written in standard form, this will be the answer --->
4x - y = 16
Answer:
y = 2x² - 12x + 14
Step-by-step explanation:
The equation of a parabola in standard form is
y = ax² + bx + c ( a ≠ 0 )
Given
y = 2(x - 3)² - 4 ← expand (x - 3)² using FOIL
= 2(x² - 6x + 9) - 4 ← distribute parenthesis
= 2x² - 12x + 18 - 4
y = 2x² - 12x + 14 ← in standard form
A loan used for buying a home is called a mortgage. The
Fernandez family is buying a
$375,000 home. They are taking
out a 30-year mortgage at a rate of 8%.
a. Compute the monthly payment.
b. Find the total of all of the monthly payments for the 30
years.
c. What is the finance charge?
d. Which is greater, the interest or the original cost of the
home.
Answer:
a. The monthly payment is approximately $2,751.62
b. The total of all monthly payment for the 30 years is approximately $990,582.175
c. The finance charge is approximately $615,582.175
d. The interest is greater than the original cost of the home
Step-by-step explanation:
a. The given parameters for the mortgage are;
The principal amount of the home Fernandez family is buying, P = $375,000
The number of years mortgage they take buy the home = 30 years
The percentage rate of the mortgage, r = 8%
The monthly payment, 'A', for the mortgage is given as follows;
[tex]A = \dfrac{ P \times \left (\dfrac{r}{12} \right ) \times\left (1 + \dfrac{r}{12} \right )^n}{\left (1 + \dfrac{r}{12} \right )^n - 1 }[/tex]
Where;
n = The number of monthly payments = 30 years × 12 months/year = 360 months
Therefore, by substituting the known values, we have;
[tex]A = \dfrac{ 375,000 \times \left (\dfrac{0.08}{12} \right ) \times\left (1 + \dfrac{0.08}{12} \right )^{360}}{\left (1 + \dfrac{0.08}{12} \right )^{360} - 1 } = 2,751.61715172[/tex]
The monthly payment, A = $2,751.61715172 ≈ $2,751.62
b. The total of all monthly payment for the 30 years = 360 × $2,751.61715172 ≈ $990,582.175
c. The finance charge = The total amount repaid - The amount that was financed = The interest payed on the amount financed
∴ The finance charge = $990,582.175 - $375,000 ≈ $615,582.175
d. The interest (approximately $615,582.175) is greater than the original cost of the home ($375,000)
Graph
4. y=-x+6
y=x-2
Answer:
{y,x} = {-4,2}
Step-by-step explanation:
can someone please help me graph y=2/3x-4
Answer:
Look at the picture attached.
Step-by-step explanation:
Your x-intercept is 6 and your y-intercept is 4, that is where your 2 points will go. According to the slope, you should go up 2 and over 3, if you don't want to find the x-intercept. Then you would just plot the y-intercept which is 4, and then go up 2, over three and plot the next.
Hope this helps! :)
Answer:
Answer is in the picture, hope i got it right :)
Which of the following equations is non-linear?
a. x + 5y = y + 15
b. x + 15x + 30x - 15 = 10y - 15
c. 11x = 5y + 10 - x
d. 3x + 1 = -4x + 12 -2y 2
What is the slope of the graph
Answer:
-3/2
Step-by-step explanation:
There is a bag with 6 marbles. Three marbles are blue, 2 are red and 1 is green. What is the probability that you will randomly select a red marble? A green marble? What is the likelihood of those probabilities? Mike answered: The probability of selecting a red marble is 2 and that is likely. The probability of selecting green is 1 and that is certain. If yes, explain in writing, using appropriate vocabulary, why you agree with him. If no, explain in writing what mistakes Mike has made and justify your reasoning. Be sure to give the correct answers in your justification. Is Mike correct?
(PLEASE HELP THANK YOU)
Answer:
Mike is not correct.
Step-by-step explanation:
The probability is an "out of" statement. meaning out of all 6 marbles if 2 are red how what is the probability of choosing a red marble the answer is 2 out of 6 or 1/3 or 0.3333333etc. For green the probability is 1 out of 6 or 1/6 or 0.16666666etc
There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example, you can take two 6-inch sticks and one 10-inch stick to make a 22-inch stick (6 + 6 + 10 = 22).How many different lengths of stick can be made out of at least one of the sticks?
In parallelogram ABCD, angles A and C are opposite angles and angles B and D are opposite angles. If the measure of angle C is 104°, what is the measure of angle D?
An account is gaining value rate of 4.94 per year. The account held $113 in 2005 which statement is "false"
A. The account had 124.44 in 2007.
B. The account gained more money from 2013-2015 than it did 2005-2007.
C. The account gains $5.72 every year.
D. This relationship is an example of exponential growth.
Answer:
d
Step-by-step explanation:
The false statement is option (d) This relationship is an example of exponential growth.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
The graph shows the value in the account after 2005.
0 indicates the year 2005.
1, 2, ...... indicates 2006, 2007, etc.
A) The value in 2007 corresponds to value of 2, which is 124.44.
True statement.
B) From 2013-2015 means that x values from 8 to 10.
Value of money during 2013-2015 = 180 - 166.19 = 13.81
From 2005-2007 means that x values from 0 to 2.
Value of money during 2005-2007 = 124.44 - 113 = 11.44
So Value of money during 2013-2015 is greater than that of 2005-2007.
True statement.
C) To find the amount account gained per year, find slope.
Slope = Change in y coordinates / Change in x coordinates
Take two points on the line (0, 113) and (2, 124.44)
Slope = (124.44 - 113) / (2 - 0) = 5.72
Hence the account gains $5.72 every year.
True statement.
D) Clearly the function is linear since the graph is a straight line.
Hence this is not a exponential growth.
Hence D is the false statement.
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The track team had 50 girls on the team last year. This year the team had 35 girls. What is the percent of decrease of the number of girls on the team from last year to this year?
Answer:
30%
Step-by-step explanation:
(50 - 35)/50 x 100 = (15/50) x 100 = 30%
Nick goes to the mall. He purchased some clothes and toys for $140. He purchased the
clothes for $60. He also bought 2 toy planes. Both planes cost the same amount. Write
an equation to help you determine the price of one plane.
What is the cost of 1 plane?
Pls help asap
Answer:
the cost of 1 plane is $40
Step-by-step explanation:
what is the expanded form of 340,729
Answer:
(300,000 + 20,000 + 0 + 700 + 40 + 9)
Step-by-step explanation:
The expanded form of 320, 749
Segmenting each digit in the figure based on its place value :
3 = 100 thousand place = 3 * 100,000 = 300000
2 = ten thousand place = 2 * 10,000 = 20000
0 = thousand place = 0 * 1,000 = 0
7 = hundred place = 7 * 100 = 700
4 = tens place = 4 * 10 = 40
9 = unit place = 9 = 9
(300,000 + 20,000 + 0 + 700 + 40 + 9)
Pls help I’ll make u brainly
Answer:
3x-2 = 4 or x = ²/3
Step-by-step explanation:
we have full bars of X's so that represents 3 because we have 3 of them and we subtract the 2 (-1)'s we also have and since it is an equation it is supposed to equal something so in this case it equals 4 (1)'s .
If you solve the equation you get x =²/3
i’ll give brainlest!
Answer:
Z = 3
Step-by-step explanation:
if y = 3 then 3 x 2 = 6 subtract that from 9 and u get 3 so therefore z is 3
Jerry had k pencils. darcy and leonard then gave jerry an additional x pencils each. which expression could represent the number of pencils jerry has now?
Answer:
[tex]k[/tex]+([tex]x[/tex]×[tex]x[/tex])
Step-by-step explanation:
k is the number of pencils jerry has, and x is the number of pencils darcy and leonard gave him EACH. So you need to multiply 'x' x2 to get the total ammount of pencils they gave him, then add 'k' to know how much in total he has now.
hope it helped! (3
Please help meee. Look at te box
Answer:
(-4,0)
Step-by-step explanation:
If y=0 that means substitute the y into the top equation as 0. 0=x+4, subtract 4 on both sides. x=-4. Now we know y is 0 and x is -4 so the coordinate point is (-4,0). Hope this helps!
help pls 6th grade math
Answer:
All of them are correct except for the last one which is incorrect
Step-by-step explanation:
All you need to substitute the answers given for "r" and see if its less than or equal to 2
- 3.5 [tex]\leq[/tex] 2 Correct (negative numbers are always smaller than a positive number)
- 2 [tex]\leq[/tex] 2 Correct (negative numbers are always smaller than a positive number)
-1 [tex]\leq[/tex] 2 Correct ( negative numbers are always smaller than a positive number)
0 [tex]\leq[/tex] 2 Correct ( 0 has a value much more less than the value of 2)
2 [tex]\leq[/tex] 2 Correct (they both have the same value as "2")
4 [tex]\frac{1}{4}[/tex] [tex]\leq[/tex] 2 Incorrect ( 4 [tex]\frac{1}{4}[/tex] has a much more greater value than 2, therefore this is incorrect)
What is the solution to the system of equations graphed below?
Answer:
The picture's not loading
Step-by-step explanation:
this square-based oblique pyramid has a volume of 125 what is the height of the pyramid?
Azi types 1 1/2 pages into 1/4 of an
hour. How many pages can
he type in one hour?
Answer:
6 Pages
Step-by-step explanation:
1 1/2 Page Every 15 minutes
There’s 4 15 minutes in an hour.
1 and a half x 4 = 6
Answer:
1
Step-by-step explanation:
bc i said so also 1 x 1 equals 20 which means 1 x 1 = 2
A bag contains 2 red,5 blue,6 yellow, and 3 green crayons. What is the probability of selecting a red crayon, then without replacing it selecting an odd number that is (red, then green)
A.0
B.0.25
C.01
D.0.025
Answer: D.0.025
Step-by-step explanation:
Given: A bag contains 2 red,5 blue,6 yellow, and 3 green crayons.
Total crayons: 2+5+6+3=16
Probability of getting red crayon= [tex]\dfrac{\text{Number of red crayons}}{\text{Total}}[/tex]
[tex]=\dfrac{2}{16}=\dfrac18[/tex]
Without replacement, the probability of getting green crayon = [tex]\dfrac{\text{Number of green crayons}}{\text{Total}-1}[/tex]
[tex]=\dfrac{3}{15}=\dfrac15[/tex]
Required probability P(red then green)= [tex]\dfrac18\times\dfrac15=\dfrac1{40}=0.025[/tex]
Hence, correct option is D.0.025
The diameter of a baseball is approximately 3 inches. What is its volume? Round your answer to the nearest whole number.
A. 9 in^3
B. 13 in^3
C. 113 in^3
D. 14 in^3
Answer:
D Volume = 4/3
If the diameter is 3 inches the radius will be 1.5.
If you plug that in you get
V = 4/3
V=14.137
Step-by-step explanation:
hope this helps have a good day :) ❤
Volume = 14 (rounded to the nearest whole number)
Volume = 4/3 pie r^3
If the diameter is 3 inches the radius will be 1.5.
If you plug that in you get
V = 4/3 pie 1.5^3
V=14.137
So the answer is D. 14 in^3.
What is a volumetric formula?
The basic formula for the area of a rectangle is length x width, but the basic formula for volume is length x width x height. No matter how you refer to the various measurements, the calculation does not change. For example, you can use "depth" instead of "height".
Degree of loudness or intensity of noise: Loudness. 2: Amount of space occupied by 3D objects, measured in cubic units (quotes, liters, etc.): Cubic capacity-See metric table, weights and measures table.
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What is the value of (x)?
Answer:
X=6 I hope this helps have a great day!
just divided 24 by 4!
Answer:
x =6
Step-by-step explanation:
You want to solve for the variable, so you have to isolate it on to one side of the equation. You can do this by doing reverse operations. For example, the reverse operation of addition is subtraction. This is reversible as well.
4x = 24
Because 4x is the same thing 4 (x), the reverse operation would be division:
4x = 24
---- ---
4 4
x = 6
The two prisms below are similar. What is the value of x?
24
4
16
A. 4
B. 24
C. 16
D. 1
Answer:
A
Step-by-step explanation:
Since the prisms are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{16}{4}[/tex] = [tex]\frac{x}{1}[/tex] ( cross- multiply )
4x = 16 ( divide both sides by 4 )
x = 4 → A
The value of x on the prism is 4.
What are Similar Figures?Similar figures are those figures which are having the same shape, but the sizes are different.
Given are two prisms.
We have to find the length of x.
Given that they are similar.
So the ratio between their dimensions is equal.
So,
x / 1 = 16 / 4
x = 4
Hence the value of x is 4.
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Find the coordinates of the point 7/10
of the way from A to B.
A (-3,-6)
B(12,5)
9514 1404 393
Answer:
(7.5, 1.7)
Step-by-step explanation:
The point of interest (P) is the weighted average of the end points. The weights are the reverse of the lengths of the associated segments.
P = (3A +7B)/10
P = (3(-3, -6) +7(12, 5))/10 = (-9+84, -18 +35)/10 = (75, 17)/10
P = (7.5, 1.7)
please help I need this done by tomorrow by 11:59 pm
Answer:
divide by the number of penguins
Step-by-step explanatin:
There are 6 windows for every 3 penguins. You divide 18 (the number of windows) by 3 to get 6. If there were 2 penguins, the awnser would be four. And if there was 1, it would be 1 1/2.
BRAINLIEST TO THE CORRECT ANSWER
Answer:
Both of the angles are 45°.
Step-by-step explanation:
Because the both have the mark that proves their congruency, and there is a right angle, the need for the entire triangle to be 180° would be to add another 90°. 90/2=45, so both of those angles are 45°.
1.A load of bricks weighs 7,798 ounces.
Each brick weighs 67 ounces. Use compatible numbers
to estimate the number of bricks in the
load.
5m=−10
Please
Help
Vinnie
m=-2
-2*5=-10
Hope this helps!
May I please have brainliest? :D