Answer:
See explanation
Step-by-step explanation:
Consider the expression

First, factor it:

Note that

Then

This shows that number 100 is a factor of the expression
and, therefore, this expression is divisible by 100.
Answer:
44.0
Step-by-step explanation:
Mark me as brainliest
Answer:
Step-by-step explanation:
Let x represent the amount of medical bills that Giselle has to pay.
Assume she has over $160 in bills,
it means that
x > 160
Under plan A, Giselle would have to pay the first $110 of her medical bills, plus 35% of the rest. Therefore, she will have to pay for
35/100 × (x - 110) = 0.35(x - 110)
Under plan B, Giselle would pay the first $160, but only 20% of the rest. Therefore, she will have to pay for
20/100 × (x - 160) = 0.2(x - 160)
Therefore, the amount of medical bills that plan B will save is
0.35(x - 110) - 0.2(x - 160) = 0.35x - 38.5 - 0.2x + 32
0.15x + 6.5
Substituting x = 160 into 0.15x + 6.5, it becomes
0.15 × 160 + 6.5 = $30.5
Total bills would be 160 + 30.5 = 190.5
Therefore, Giselle would save $30.5 with plan B if she had more than $190.5 in bills.
The Bernoulli equation is almost identical to the standard linear ODE.

Compare to the basic linear ODE,

Meanwhile, the Riccati equation takes the form

which in special cases is of Bernoulli type if

, and linear if

. But in general each type takes a different method to solve. From now on, I'll abbreviate the coefficient functions as

for brevity.
For Bernoulli equations, the standard approach is to write


and substitute

. This makes

, so the ODE is rewritten as

and the equation is now linear in

.
The Riccati equation, on the other hand, requires a different substitution. Set

, so that

. Then you have



Next, setting

, so that

, allows you to write this as a linear second-order equation. You have



where

and

.