The answer is B as I believe
Hello there!
I hope you and your family are staying safe and healthy during this winter season!
See the attached picture for the answer!
Thanks!
~Garebear
Answer:
Step-by-step explanation:
When the interest compounds continuously, our formula is

If we start with 10000 and are looking for how long, t, it takes to double, we are looking for how long it will take for our account to have 2 times 10000. That's 20000. Therefore, our equation is

Divide both sides by 10000 to get

Take the natural log of both sides to "undo" that e:

Again, since ln and e undo each other what we have now is
ln(2) = .11t and
so
t = 6.3 years
Answer:
A
Step-by-step explanation:
Given (x + h) is a factor of f(x) then f(- h) = 0
Given
p(x) = x³ - 4x² + ax + 20 , with (x + 1) as a factor then
p(- 1) = (- 1)³ - 4(- 1)² - a + 20 = 0 , that is
- 1 - 4 - a + 20 = 0
15 - a = 0 ( subtract 15 from both sides )
- a = - 15 ( multiply both sides by - 1 )
a = 15 , thus
p(x) = x³ - 4x² + 15x + 20
If p(x) is divided by (x + h) then p(- h) is the remainder, so
p(- 2) = (- 2)³ - 4(- 2)² + 15(- 2) + 20 , that is
- 8 - 16 - 30 + 20 = - 34 → A