<em>l = 16 feet</em>
<em>w = 3 feet</em>
- Step-by-step explanation:
<em>A = l×w</em>
<em>l = 10+2w</em>
<em>48 = (10 + 2w)w</em>
<em>48 = 10w + 2w² | : 2</em>
<em>24 = 5w + w²</em>
<em>w² + 5w - 24 = 0</em>
<em>w² + 8w - 3w - 24 = 0</em>
<em>w(w + 8) - 3(w + 8) = 0</em>
<em>(w - 3)(w + 8) = 0</em>
<em>w - 3 = 0 => w = 3 feet</em>
<em>w + 8 = 0 => w = - 8 ∉ N </em>
<em>l = 10 + 2w</em>
<em>l = 10 + 6</em>
<em>l = 16 feet</em>
<em />
<em>A = l×w = 16ft×3ft = 48ft² </em>
Answer:
Linear Equation: P = 0.008T + 0.13
Price of stamp in 2015 = $0.45
Step-by-step explanation:
From 1975 to 2005 [30 years], the price increased from 0.13 to 0.37 [0.24].
This means the rate of change (slope) is 0.24/30 = 0.008
This means Price changed (increased) by $0.008 per year.
Slope = 0.008
The y-intercept (P) is at the starting point which is at T = 1975, the price was 0.13. Hence y-intercept is 0.13
The equation of a line is given as
P = mT + b
Where m is the slope and b is the y-intercept
Now, we can write the linear model equation as:
P = 0.008T + 0.13
To find the price of stamp in 2015, we see that this is 40 years later after 1975. So we plug in 40 into T in the equation found above:
P = 0.008(40) + 0.13
P = $0.45
Answer:
Y = 168°
X = 12°
Step-by-step explanation:
Y = 168 degrees
X = 5x -48
48 = 4x
12 = x
MArginal cost is the adjustment in all out cost that emerges when the amount created changes by one unit.(In another word subordinate of cost wrt unit)
So we coordinate to get Cost work
∫30 600/0.3q+5 (dq) 0
we get 9798.66 from joining.
We add that to settle cost 2059.23+2200=4259.24
So 4259.24 is the cost.
Income from offering the bicycle is 205*30=6150
and Profit=Revenue-Cost
6150 - 4259.24=1890.76
Presently Marginal Profit
MArginal benefit is the term used to allude to the contrast between the minor cost the peripheral income for delivering one extra unit of creation.
Marginal Profit=Marginal Revenue-Marginal Cost
Marginal Cost=600/0.3q+5.
We should connect to 31 to get 41.958
Revenue= 205q
Marginal rev=205
Marginal Profit = 205-41.958=163.042
Answer 3 3/14
(7/8) times (45/14)= 45/16. Got 45/16 from 2 13/16
