Answer:
$1719.55, 61.4%
Step-by-step explanation:
Original price of stove: $2,800
Value of stove after 1 year: (1 - 0.15)($2,800), or 0.85($2,800) = $2,380
Value of stove after 2 years: 0.85($2,380) = $1719.55
Find the ratio of this last result to the original price and convert that to a percentage:
$1,719.55
-------------- = 0.614, or approximately 61.4%
$2,800
You can write three equations in the numbers of nickels (n), dime (d), and quarters (q).
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
Answer:
Oy=-x+5 2
Step-by-step explanation:
It would be y=(x+4)²+9.
To complete the square, we divide the value of b, the coefficient of x, by 2 and square it:
(8/2)² = 4² = 16
We would add 16 to this in order to have a perfect square; but we would also need to subtract 16 at the end to keep it equal. This would give us:
y=(x²+8x+16)+25-16
y = (x+4)² + 9
