1000+200+00+6=1206 is how it looks in expanded form.
<u>Answer:</u>
<h2>
12 CUPS</h2>
<u>Explanation</u><u>:</u>
<em>1</em><em> </em><em>quart </em><em>=</em><em> </em><em>4</em><em> </em><em>cups</em>
<em>1</em><em> </em><em>gallon </em><em>=</em><em> </em><em>1</em><em>6</em><em> </em>cups
<em>Yesenia</em><em> </em><em>buys </em><em>1</em><em> </em><em>quart </em><em>-</em><em>></em><em> </em><em>4</em><em> </em><em>cups</em>
<em>AND </em><em>1</em><em>/</em><em>2</em><em> </em><em>a </em><em>gallon </em><em>-</em><em>></em><em> </em><em>8</em><em> </em><em>cups</em>
<em>4</em><em> </em><em>cups </em><em>from </em><em>quart </em><em>+</em><em> </em><em>8</em><em> </em><em>cups </em><em>from </em><em>1</em><em>/</em><em>2</em><em> </em><em>gallon </em><em>=</em><em> </em><em>1</em><em>2</em><em> </em><em>cups </em><em>total!</em>
Answer:
The doubling time of this investment would be 9.9 years.
Step-by-step explanation:
The appropriate equation for this compound interest is
A = Pe^(rt), where P is the principal, r is the interest rate as a decimal fraction, and t is the elapsed time in years.
If P doubles, then A = 2P
Thus, 2P = Pe^(0.07t)
Dividing both sides by P results in 2 = e^(0.07t)
Take the natural log of both sides: ln 2 = 0.07t.
Then t = elapsed time = ln 2
--------- = 0.69315/0.07 = 9.9
0.07
The doubling time of this investment would be 9.9 years.
Answers:
A) x > 4
B) x ≤ -5
I just answered the first two, but use Tiger Algebra. You can write down and take a picture of your equation, type it, or draw it on the writing pad they provide.
Hope this helps! :3
<span>Simplifying
(6a + -8b)(6a + 8b) = 0
Multiply (6a + -8b) * (6a + 8b)
(6a * (6a + 8b) + -8b * (6a + 8b)) = 0
((6a * 6a + 8b * 6a) + -8b * (6a + 8b)) = 0
Reorder the terms:
((48ab + 36a2) + -8b * (6a + 8b)) = 0
((48ab + 36a2) + -8b * (6a + 8b)) = 0
(48ab + 36a2 + (6a * -8b + 8b * -8b)) = 0
(48ab + 36a2 + (-48ab + -64b2)) = 0
Reorder the terms:
(48ab + -48ab + 36a2 + -64b2) = 0
Combine like terms: 48ab + -48ab = 0
(0 + 36a2 + -64b2) = 0
(36a2 + -64b2) = 0
Solving
36a2 + -64b2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '64b2' to each side of the equation.
36a2 + -64b2 + 64b2 = 0 + 64b2
Combine like terms: -64b2 + 64b2 = 0
36a2 + 0 = 0 + 64b2
36a2 = 0 + 64b2
Remove the zero:
36a2 = 64b2
Divide each side by '36'.
a2 = 1.777777778b2
Simplifying
a2 = 1.777777778b2
Take the square root of each side:
a = {-1.333333333b, 1.333333333b}</span>