Answer:
(a) 5440.42 g
Step-by-step explanation:
The amount remaining (Q) is given in terms of the initial amount (Q₀) by the exponential decay formula ...
Q = Q₀(1/2)^(t/330) . . . . . where t is in days
__
The amount after 540 days is ...
1750 g = Q₀(1/2)^(540/330) = 0.321666Q₀
Q₀ = (1750 g)/(0.321666) ≈ 5440.42 g
The initial quantity was about 5440.42 grams.
Y and x have a relationship that is directly proportional;
y = 7 when x = 2
when y = 21 and x = ?
y : x
7 : 2
if we multiply 7 wit 3, the answer is 21
3 x 7 : 2 x 3
21 : 6
So, when y = 21, x = 6
Obviously (hopefully) a square root function cannot be negative.
<span>Also, 4x-8 must be >= 0, otherwise the sqrt is undefined for the reals. </span>
<span>4x-8 >= 0 </span>
<span>4x >= 8 </span>
<span>x >= 2 </span>
<span>Then the range is [0, inf) </span>
<span>The domain is [2, inf)</span>
Answer:
C. x + 2y = 10
-4x - y = 2
Step-by-step explanation:
A. quickest way is to plug in -2, 6 and see which one works
B. this is the other way
1. x + 2y = 10
-4x - y = 2
2. multiply 4 with x + 2y = 10 so i can get 4x + 8y = 40
i want +4x so i can cancel with the -4x in -4x - y = 2
3.
4x + 8y = 40
-4x - y = 2
--------------------
7y = 42
y = 6
4. then plug in 6 into an equation to get x
-4x - y = 2
-4x -6 = 2
-4x = 8
x = -2
Solving for the realtor commission we have:
$165,000 x 0.035 = $5775 (3.5% of the loan amount)
Solving for closing cost, we total all of the costs including the realtor commission:
$5775 + $280 + $476 + $675 + $200 + $118 + <span>$573 = $8,097.</span>
