As the volume of cuboid is given by,
l×b×h
as the dimensions are doubled,
l2×b2×h2
5×2×4×2×3×2
= 480 cm^3
we have the function
![P(x)=\ln\left|4x+1\right|+3x-x^2](https://tex.z-dn.net/?f=P%28x%29%3D%5Cln%5Cleft%7C4x%2B1%5Cright%7C%2B3x-x%5E2)
For x=2
substitute
![\begin{gathered} P(x)=\operatorname{\ln}\lvert4(2)+1\rvert+3(2)-(2)^2 \\ P(x)=\operatorname{\ln}\lvert9\rvert+2 \\ P(x)=4.20\text{ millions of dollars} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28x%29%3D%5Coperatorname%7B%5Cln%7D%5Clvert4%282%29%2B1%5Crvert%2B3%282%29-%282%29%5E2%20%5C%5C%20P%28x%29%3D%5Coperatorname%7B%5Cln%7D%5Clvert9%5Crvert%2B2%20%5C%5C%20P%28x%29%3D4.20%5Ctext%7B%20millions%20of%20dollars%7D%20%5Cend%7Bgathered%7D)
therefore
<h2>the answer is 4.20 million dollars</h2>
Answer: see below
<u>Step-by-step explanation:</u>
C(x) = 39 when 0 < x ≤ 1.0
C(x) = 63 when 1.0 < x ≤ 2.0
C(x) = 87 when 2.0 < x ≤ 3.0
C(x) = 111 when 3.0 < x ≤ 4.0
C(x) = 135 when 4.0 < x ≤ 5.0
C(x) = 159 when 5.0 < x ≤ 6.0
Based on the information I provided above, the answers are:
a) x= 0.6, C(x) = 1.0
x = 1.0, C(x) = 39
x = 1.1, C(x) = 63
x = 2.5, C(x) = 87
x = 3.0, C(x) = 87
x = 4.8, C(x) = 135
x = 5.0, C(x) = 135
x = 5.3, C(x) = 159
b) If C(x) = 87, then 2.0 < x ≤ 3.0
c) Domain (all possible x-values): 0 < x ≤ 6.0
d) Range (all possible y-values): {39, 63, 87, 111, 135, 159}
Answer:
d. May
Step-by-step explanation:
Working through the chain, we have ...
Feb = 1.10×Jan
Mar = 0.85×Feb = 0.935×Jan
Apr = 1.20×Mar = 1.122×Jan
May = 0.90×Apr = 1.0098×Jan
Jun = 1.05×May = 1.06029×Jan
The multiplier that is closest to 1 is 1.0098, so May has sales closest to January.
_____
The percentage increase or decrease can be converted to a multiplier by adding it to 1. If p% is the percentage change, then adding it to an original value looks like ...
original + p% × original = original × (1 +p%) . . . . . . . distributive property
And p% translates to a decimal number by replacing % with /100 or ×0.01.
10% increase: original × (1 + 10/100) = original × 1.10
15% decrease: original × (1 - 15/100) = original × 0.85
(x/5)-6=2
It depends by difference of. Difference between is more specific.