Answer:

Step-by-step explanation:
a) The average value of a function is given by the following integral:



b) The determination of the minimum average daily cost per pound of pollutant is done by the First Derivative Test and the Second Derivative Test, which is:



(absolute minimum).
The level of reduction corresponding to the lowest average daily cost per pound of pollutant is:

The result would be 72... 12
x6
----
72 (carry the one) Unless your figuring out if its positive or negative. (positive)
Have a Brainly Day!
Answer:
C) B = 38.8°, C = 93.2°, c ≈ 43
Step-by-step explanation:
For triangle: a / sin A = b / sin B = c / sinC
32 / sin 48° = 32 / 0.743
32 / 0.743 = 27 / Sin B sin B = 0.627
<u>B = 38.8°</u>
C = 180 - 48 - 38.8 = 93.2° sin C = sin 93.2° = 0.998
32 / 0.743 = c / 0.998 = 42.98 (<u>≈ 43</u>)
Given
Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.
Total interest paid was $475
Find out he invest in each.
To proof
Let us assume that Paul invested in an account paying 4% be = x
As given in the question
Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.
Let us assume that Paul invested in an account paying 5% be = 3x
Total interest paid = $475
First convert 4% in the decimal form

= 0.04
First convert 5% in the decimal form

= 0.05
Than the equation become in the form
0.04x + 0.05 × 3x = 475
0.04x + 0.15x = 475
0.19x = 475
x = $2500
Paul invested in an account paying 4% be = $2500
Paul invested in an account paying 5% be = $7500
Hence proved