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
Answer:
d
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
2(x+4)=12
2x+8=12........multiplying each number in the bracket by 2
2x = 12-8
2x = 4...... dividing both sides by 2
x = 2
Answer:
27 more games
Step-by-step explanation:
The team has played 75 games so far. Theyve won 50 out of 75 of those games. They still have 45 games left to play. That's 120 games in total. 60% of 120 is 72. They have to win 72 games in total. 72 - 45 = 27. They need to win 27 more games in order to have won 60% of all the games theyve played.
Volume of cylinder = πr²h
Radius = Diameter ÷ 2
Radius = 10÷ 2
Radius = 5 in
Volume of the cylinder =π x 5² x20
Volume of the cylinder = 1570.80 in³ (nearest hundredth)
---------------------------------------------------------------
Volume = 1570.80 in³ (Answer C)
---------------------------------------------------------------