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Answer:
This is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks.
Step-by-step explanation:
thats just what it is
Answer:
The y-variable will be eliminated when adding the system of equations.
There is only one solution to the system of equations.
Step-by-step explanation:
-x + 6y = 16 (1)
8x - 6y = -2 (2)
Add the equations to eliminate y
-x + 8x = 16 +(-2)
7x = 16 -2
7x = 14
x = 14/7
x = 2
Substitute x = 2 into (1)
-x + 6y = 16 (1)
-2 + 6y = 16
6y = 16 + 2
6y = 18
y = 18/6
y = 3
(x, y) = (2, 3)
We can set up an equation.
.05 * 2^(n-1)
n being the nth term in the sequence
Plug in and solve.
.05 * 2^(20-1)
.05 * 2^19
.05 * 524, 288
The 20th term would be 262, 144.
If we use x for the number of dimes, and y for the number of nickels, then from this problem we know:
x(.10)+y(.05)=1.50
since each dime we have is another .10 dollars, and each nickel is another .05 dollars, as well as
3x=y
since we have 3 times as many nickels, we have to multiply dimes by 3 to have the same number of coins.
plugging this in to the first equation we get:
x(.10)+3x(.05)=1.50
.1x+.15x=1.5
.25x=1.5
x=6
Sally has 6 dimes.
Plugging this back in to 3x=y, we get
3(6)=y
18=y
So, Sally has 18 nickels
