Answer:
32 days
Step-by-step explanation:
Assume that the jar is full initially, containing 24 oz. After how many withdrawals of 3/4 oz will the jar be empty?
24 - (3/4)n = 0, or
24 = (3/4)n, or 96 = 3n. Dividing both sides by 3, we get n = 32.
The jar will be empty after 32 days.
Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.
Answer:
30
Step-by-step explanation:
12 is 40% of the total number of cards.
12 = 0.4x, where x is total number of cards
/0.4 /0.4
30 = x
30 cards