Answer:
Step-by-step explanation:
The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:
and

Begin by dividing both sides by 4400 to get

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

The power rule of natural logs says we can move that exponent down in front, giving us:

Divide both sides by ln(1.075) to get

Do this division on your calculator to get
t = 28.2 years
Bryan will have taken 30 quizzes
Complex solutions, namely roots with a √(-1) or "i" in it, never come all by their lonesome, because an EVEN root like the square root, can have two roots that will yield the same radicand.
a good example for that will be √(4), well, (2)(2) is 4, so 2 is a root, but (-2)(-2) is also 4, therefore -2 is also a root, so you'd always get a pair of valid roots from an even root, like 2 or 4 or 6 and so on.
therefore, complex solutions or roots are never by their lonesome, their sister the conjugate is always with them, so if there's a root a + bi, her sister a - bi is also coming along too.
if complex solutions come in pairs, well, clearly a cubic equation can't yield 3 only.
Answer:

Explanation:
Simplify both sides of inequality
-2 / 3 > 1 / 5 z
Flip equation
1 / 5 z < -2 / 3
Multiply both sides by 5
(1 / 5 z) 5 < (-2 / 3) 5
Z < -10 / 3
Answer:
the first blank is 10
and the second blank is 5
Step-by-step explanation: