Step-by-step explanation:
Let's assume Debbie paid $1700 in interest, while Jan paid $9000.
Debbie Saves = $1700* 0.28
Jan Saves = $9000 * 0.28
Debbie Saves $476 in taxes
Jan Saves $2520 in taxes
A) T(m) = -0.16m +331.3
B) T(2015) = 8.9 . . . seconds
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The linear regression function of a graphing calculator can find the equation of the line easily. Or, you can use the 2-point form of the equation of a line.
.. T(m) = (10.5 -14.5)/(2005 -1980)*(m -1980) +14.5
.. T(m) = -0.16(m -1980) +14.5
Factorize the quadratic.

We have
, so

Now, both
and
(since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

So the solution to the inequality is the set

I'm sure that the hypotenuse is 13 yards
Here's the formula used:
Length of Hypotenuse² = Length of side 1² + Length of side 2²
So here's how to solve this question:
12 squared + 5 squared = hypotenuse
(Then square the values)
144 + 25 = 169
Divide 169 by the square root to get the length of the hypotenuse: 13
Hope this helps!
Answer:
E = (1, 2)
Step-by-step explanation:
You want ...
(E -G) : (O -E) = 3 : 4
4(E -G) = 3(O -E) . . . . . . . . "cross multiply"
4E -4G = 3O -3E . . . . . . . . eliminate parentheses
7E = 4G + 3O . . . . . . . . . . . add 3E+4G
E = (4G +3O)/7 . . . . . . . . . .divide by 7
E = (4(-5, -1) +3(9, 6))/7 = (-20+27, -4+18)/7 = (7, 14)/7 . . . . fill in G and O
E = (1, 2)