Answer:

Step-by-step explanation:

Move 3k to left hand side and change it's sign
Similarly, move 4.5 to right hand side and change it's sign

Collect like terms

Subtract 4.5 from 18

Divide both sides by 4.5

Calculate

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Answer:
20,158 cases
Step-by-step explanation:
Let
represent year 2010.
We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.
Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.
We can represent this information in an exponential decay function as:


To find number of cases in 2020, we will substitute
in our decay function as:



Therefore, 20,158 cases will be reported in 2020.
width = 10 feet → C
let l represent the length then width = l - 8
perimeter = 2(length + width) = 2(l + l - 8)
given perimeter = 56 then
2(2l - 8)= 56
divide both sides by 2
2l - 8 =
= 28
add 8 to both sides
2l = 28 + 8 = 36
divide both sides by 2
l =
= 18
thus length = 18 feet and width = 18 - 8 = 10 feet