Answer:
-7 - 8n
Step-by-step explanation:
Another way would be to rearrange the terms = -7 - 8n
The first step to determining the answer to this item is to calculate for the effective interest using the equation,
ieff = (1 + i/m)^m - 1
where ieff is the effective interest, i is the given interest and m is the number of compounding period.
Part A: m in this item is equal to 12.
Substituting,
ieff = (1 + 0.10/12)^12 - 1 = 0.1047
The amount of money after n years is calculated through the equation,
An = A(1 + ieff)^n
If An/A = 2 then,
2 = (1 + 0.1047)^n
The value of n is 6.96 years
Part B: For the continuously compounding,
An = Ae^(rt)
An/A = 2 = e^(0.10t)
The value of t is equal to 6.93 years.
Hence, the answers:
<em>Part A: 6.96 years</em>
<em>Part B: 6.93 years</em>
Answer:
1 gallon = 128 ounces / 8 pints / 4 quarts
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have -1/2(x + 4) = y - 2 <em>use distributive property</em>
(-1/2)(x) + (-1/2)(4) = y - 2
-1/2 x - 2 = y - 2 <em>add 2 to both sides</em>
-1/2 x = y → y = -1/2 x + 0
slope: m = -1/2
y-intercept: b = 0
x-intercept for y = 0. Substitute:
-1/2 x = 0 <em>multiply both sides by -2</em>
x = 0
<h3>Answer:</h3><h3>slope = -1/2</h3><h3>y-intercept = 0</h3><h3>x-intercept = 0</h3>
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2x - y = 4 <em>sutract 2x from both sides</em>
-y = -2x + 4 <em>change the signs</em>
y = -2x + 4
slope: m = -2
y-intercept: b = 4
x-intercept for y = 0. Substitute:
-2x + 4 = 0 <em>subtract 4 from both sides</em>
-2x = -4 <em>divide both sides by -2</em>
x = 2
<h3>Answer:</h3><h3>slope = -2</h3><h3>y-intercept = 4</h3><h3>x-intercept = 2</h3>
Answer:
The area of the rectangle will be:
Step-by-step explanation:
Given
- height or length = l = 6x³
We know that Area of the rectangle
A=wl
= (3x³+8x²+x) × (6x³)
Thus, the area of the rectangle will be:
