In 2011, the price of gold reached an all-time high. The table shows the prices (in dollars per troy ounce) of gold each year since 2006 (t=0 represents 2006). Find a quadratic function that best models the data.
Answers
Answer:
y = 28.1739x² + 45.6478x + 617.4879 ;
$3891.36
Step-by-step explanation:
Given the data above :
We can employ an online quadratic model calculator to create a quadratic model of the data:
Year(t) ____0 ____1 ____2 ____3 ____4 ____5 (P)-603.46_695.39_871.96_972.35_1224.53_1571.52
The quadratic function obtained is :
y = 28.1739x² + 45.6478x + 617.4879
Using the model ; the price of gold in 2016 will be :
X = 2016 = 10 years (2016 - 2006)
y = 28.1739(10)^2 + 45.6478(10) + 617.4879 = 3891.3559
Hence, the predicted price of gold in 2016 using the model will be $3891.36
Related Questions
Factor and solve the quadratic equation
x^2 + 2x + 2 = 0
Answers
Answer:
no solution
Step-by-step explanation:
A line passes through the point (-9,1) and has a slope of -2/3
Answers
Answer:
y - 1 = (-2/3)(x + 9)
Step-by-step explanation:
Here you are given a point on a line and the slope of the line. You'll need to apply the "point-slope" formula
y - k = m(x - h) (Memorize this)
Then m = slope = -2/3, h = -9 and k = 1.
Making the appropriate substitutions, we get:
y - 1 = (-2/3)(x + 9)
Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.
y = (x +
)2 +
Answers
Answer:
y = (x + 3)^2 + 1
Step-by-step explanation:
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Have a nice day :]
The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
What is the vertex form?The vertex form of an equation is a quadratic equation, written in the form of a parabola
The equation is given as:
[tex]y = x^2 + 6x + 10[/tex]
Write out the constant
[tex]y = (x^2 + 6x) + 10[/tex]
Take the coefficient of x
[tex]k = 6[/tex]
Divide by 2
[tex]k/2 = 3[/tex]
Square the expression
[tex](k/2)^2 = 9[/tex]
So, we have:
[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]
Rewrite as:
[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]
[tex]y = (x^2 + 6x + 9) + 1[/tex]
Express as a perfect square
[tex]y = (x + 3)^2 + 1[/tex]
Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
Read more about vertex forms at:
https://brainly.com/question/26738087
After sweeping the Baltimore Orioles at home in 2001, the Seattle Mariners had a record of 103 wins out of 143 games played. Find the Mariners’ winning rate. Write your answer as a decimal rounded to the nearest thousandth.
Answers
the volume of a cube is 1331 in .^3. how long is each side?
Each side of the cube is___ in. long.
Answers
Answer
11 inches
Step-by-step explanation:
No explanation.
My teacher asked me to round 71,500 to the nearest thousand. I think that the answer is 72,000. Did I round correctly?
Answers
Answer:
yeah, that's right!!!!
what is 7x+3+2x=13 i need help plz help me its for my home work
Answers
Answer:
7x+3+2x=13
9x=10
x=10/9
Wes is 4 years older than his sister. Let x be his sister's age. Write an expression that tells how old Wes is.
Answers
x+4
if x is Wes' sister's age, then it would be x + 4 since Wes is 4 years older.
The book store manager keeps a chart of the number of books sold each week. How
many books were sold all together in weeks 2 and 4?
Book Store Sales
Week
Number of Books
1
2
3
4
1.412
1,531
2,050
1,785
Answers
Answer:
3315
Step-by-step explanation:
Given the data:
WEEK ________1 _____2______3______4
no of books __1412___1531 ___2050 ___1785
Number of books sold in weeks 2 and week 4
Books sold in week 2 = 1531
Books sold on week 4 = 1785
(1531 + 1784) = 3315
HELP!!!!!!!!!!!!!!!!!!!!! I WILL LOVE YOU FOREVER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The area of the shaded region is (blank)
yd2.
**Use 3.14 as the approximation for pi**
Answers
Answer:
79.74
Step-by-step explanation:
Multiply 6 by 12 and that by 2:
(6 × 12) × 2 - (6 × 6) = 72 × 2 - 36= 144 - 36 = 108
That will be the equation for the shaded area besides the circle now lets calculate the circle and take it away from the equation. the circle's diameter is 6 so the radius should be 3, then use:
3 × 3 × 3.14 = 9 × 3.14 = 28.26
Then do this:
108 - 28.26 = 79.74
There you have it!
in the science club there are 2 sixth graders for every 3 seventh graders.
Answers
Answer:
Okay...
Step-by-step explanation:
Just divide as a fraction for if you finish the question.
Do these 3 side lengths form a right triangle? (Yes or no question): 39 ft, 32.5 ft, 48.5 ft
Answers
Answer: the answer is no
Step-by-step explanation:
no, it is not a right triangle
Step-by-step explanation:
39 square+32.5 square=48.5 square
1,521+1056.3=2, 352.3
2577.3=2352.3
it's not the same so the result it no
Please order the following from least to greatest! ASAP
0.71, 3/4, 78%, 0.775, 7/9
Answers
Answer:
0.71, 3/4, 0.775, 7/9, 78%
5(2x-3-4z) Use the distributive property to rewrite the expression above
Answers
Answer:
= 10x-15-20z
Step-by-step explanation:
5 x 2=10 add the x to the end
5 x 3=15
5 x 4= 20 add the z to the end
Hope this helps (:
Step by Step Explanation:
5(2x-3-4z) or 5•(2x-3-4z) which means the whole equation inside of the parentheses times 5; answer=10x-15-20z.
What does 3 mean in the function f(x)=2(3)^x
Answers
Answer:
The (3) is to multiply 2 x 2 x 2 to get your answer.
Step-by-step explanation:
Someone please help me
Answers
x=3.5 y=2
A city has a population of 38,802,500. Estimate this number as the product of a single digit and a power of 10.
Answers
what is the solution to this equation?
A. x=-4
B. x= 100
C. x= 4
D. x=-100
Answers
Answer:
D. x = - 100Step-by-step explanation:
[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]
On a number line, the coordinates of X, Y, Z. and Ware-7. -5.2, and 4, respectively. Find the lengths of the two segments below. Then tell whether they are congruent.
XY and ZW
The length of XY is (Type an integer or a decimal.)
The length of ZW is (Type an integer or a decimal)
Answers
Answer:
[tex]XY = 2[/tex]
[tex]ZW = 2[/tex]
XY and ZW are congruent
Step-by-step explanation:
Given
[tex]X = -7[/tex]
[tex]Y = -5[/tex]
[tex]Z = 2[/tex]
[tex]W = 4[/tex]
Distance XY is calculated as thus:
[tex]XY = |X - Y|[/tex]
[tex]XY = |-7 - (-5)|[/tex]
[tex]XY = |-7 + 5|[/tex]
[tex]XY = |-2|[/tex]
[tex]XY = 2[/tex]
Distance ZW is calculated as thus:
[tex]ZW = |Z - W|[/tex]
[tex]ZW = |2 - 4|[/tex]
[tex]ZW = |-2|[/tex]
[tex]ZW = 2[/tex]
[tex]XY = ZW = 2[/tex]
Hence:
XY and ZW are congruent
WILL MARK YOU BRAINLIEST!!!!!!
Answers
Answer:
y = 88
Step-by-step explanation:
Don't worry about the other stuff, just worry about what's in the triangle that has Y.
53°, 39°, and y°
the sum should be equal to 180 so add 53 adn 39 and subtract it from 180.
180 - (53 + 39) = y
180 - 92 = y
88 = y
Hope this helped! Pls Brainliest my answer! It would help amd mean a lot! ;)
A binder at the store costs $4.87. A pack of pens at the same store costs $2.94. You pay for both the binder and pack of pens with a $20 bill
How much change do you receive?
Answers
Answer:
How much change you receive is $12.19
Step-by-step explanation:
$20 - $4.87 (price of a binder) - $2.94 (price of pack of pens) = ?
$4.87 + $2.94 = $7.81
$20 - $7.81 = $12.19
Of the 1200 responded to a survey, 456 claimed to be worried about money. What is the likelihood that a person selected at random will not be worried about money?
Answers
A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?
Answers
If and represent rational expressions and b0 and y0, what is true of their product? Select three options.
The product is equivalent to .
The product is a rational expression.
The product is equivalent to .
The product is the ratio of ax and by.
The product is equivalent to .
Answers
Answer:
B,C,D
Step-by-step explanation:
i took the test
Monique wants to enlarge a 4" x 6" photo to frame and hang up. If the enlarged photo must have a width of 3 feet, what is the height of the enlargement? (Be mindful of 4 x 6 is in the format l x w) (Also change to inches first and then convert back to feet)
Answers
Answer:
you eould have to start with 4 times 6 welll use algabra
Step-by-step explanation:
Kaelyn has 14 coins I have a value of $1.20. She only has dimes and nickels. How many nickels does Kaelyn have?
Answers
Answer:
10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.
Kaelyn has 4 nickels
write the equation x+y=6y into standard form
Answers
Answer:
x - 5y = 0
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
x + y = 6y ( subtract 6y from both sides )
x - 5y = 0 ← in standard form
Answer: x-5y=0
Step-by-step explanation:
x+y=6y
6y-y
X=5y
X-5y=0
1. Two eighth grade classes are selling tickets to raise money for their school fundraiser.
• One class is selling tickets for $3.50 each and has already raised $250.
• The other class is selling tickets for $2.25 each and has already raised $300.
How many tickets does each class have to sell so that the total amount raised is the
same for both classes?
Answers
Answer:
once upon a time i was looking for this answer and i couldnt find it here so for future generations i will help yall and the answer is 40 ITS 40
Step-by-step explanation:
peace
PLEASE HELP I NEED THIS RLY QUICK ILY
Answers
Answer:
it is B
Step-by-step explanation:
Will give brainlest please help! ASAP!
Answers
and
square root 3