Answer:
Step-by-step explanation:
If that number is greater than 1, that means that the exponential equation represents growth. If that number is less than 1 but greater than 0, that means that the exponential equation represents decay. Since ours is greater than 1, our equation is exponential growth. It means that the perent of animals adopted grows at a rate of 145% per year, with a starting number of 28 animals in the first year.
Let us model this problem with a polynomial function.
Let x = day number (1,2,3,4, ...)
Let y = number of creatures colled on day x.
Because we have 5 data points, we shall use a 4th order polynomial of the form
y = a₁x⁴ + a₂x³ + a₃x² + a₄x + a₅
Substitute x=1,2, ..., 5 into y(x) to obtain the matrix equation
| 1 1 1 1 1 | | a₁ | | 42 |
| 2⁴ 2³ 2² 2¹ 2⁰ | | a₂ | | 26 |
| 3⁴ 3³ 3² 3¹ 3⁰ | | a₃ | = | 61 |
| 4⁴ 4³ 4² 4¹ 4⁰ | | a₄ | | 65 |
| 5⁴ 5³ 5² 5¹ 5⁰ | | a₅ | | 56 |
When this matrix equation is solved in the calculator, we obtain
a₁ = 4.1667
a₂ = -55.3333
a₃ = 253.3333
a₄ = -451.1667
a₅ = 291.0000
Test the solution.
y(1) = 42
y(2) = 26
y(3) = 61
y(4) = 65
y(5) = 56
The average for 5 days is (42+26+61+65+56)/5 = 50.
If Kathy collected 53 creatures instead of 56 on day 5, the average becomes
(42+26+61+65+53)/5 = 49.4.
Now predict values for days 5,7,8.
y(6) = 152
y(7) = 571
y(8) = 1631
First you need to find the amount of money the discount decreased.
10(0.2)=2
Then, in order to find the sale price you need to subtract the discount price from the original price of the burger.
10-2=8
Answer: $8
Answer:
153.94 inches cubed
Step-by-step explanation:
plug in 7 as the radius
the formula is A = πr^2
Answer:
y = -2x + 14
Step-by-step explanation:
Step 1: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = -2x + b
We are given a point (x, y) of (5, 4), so plug that in and solve for b.
4 = -2(5) + b
4 = -10 + b (simplify)
14 = b (add 10 to both sides to isolate b)
So the equation of our line is y = -2x + 14