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
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!!!!
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.
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:
100% on edge
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
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 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)
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.
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
Factor and solve the quadratic equation
x^2 + 2x + 2 = 0
Answers
Answer:
no solution
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
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
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%
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]
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.
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
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
PLEASE HELP I NEED THIS RLY QUICK ILY
Answers
Answer:
it is B
Step-by-step explanation:
Someone please help me
Answers
x=3.5 y=2
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
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.
Will give brainlest please help! ASAP!
Answers
and
square root 3
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:
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
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! ;)
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
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:
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
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
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!
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
A city has a population of 38,802,500. Estimate this number as the product of a single digit and a power of 10.