Answer:

Step-by-step explanation:

here,
a = 1,
b = k
c = 9
now,


Answer:;4.4
Step-by-step explanation: Since it varies inversely we know G times H squared is equal to some constant, k. So we have G*H*H=k. We are told that when H=4, G=.25. Plugging this in, we have .25*4*4=k. This simplifies to 4=k. Our new equation is G*H*H=4. Now, we want to solve for G when H=.3. We plug it in. G*.3*.3=4 => G*.09=4. G=4/.09. This means G is approximately 44.4.
Answer:
(1, -2)
Step-by-step explanation:
I hope that helps :/
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
When there's more than one letter, and you just have to solve for one variable, you can just solve it like you would any other equation. Treat the other variables like numbers and add, subtract, multiply, and divide them to both sides of the equation in order to isolate the variable you want to solve for.