<h3>
Answer: 23 years</h3>
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Work Shown:
P = 1000 is the amount deposited
We want this value to double to A = 2000 which is the amount in the account at time t (in years).
r = 0.03 represents the interest rate in decimal form.
The value of t is unknown but we can solve for it like so


It will take about 23 years for the amount to double.
As a check,

which helps show that after roughly 23 years, we'll have about 2000 dollars in the account.
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Side note: Use of the rule of 72 leads to 72/3 = 24. The '3' is from the 3% interest rate. So the rule of 72 says it will take about 24 years for the amount to double. This isn't too far off from the 23 answer we got.
Answer:
360 turns
Step-by-step explanation:
Answer:
x = 36 degrees
Step-by-step explanation:
We can use exterior angles theorem to find that 140 degrees is equal to x plus 104 degrees. We subtract 104 degrees on both sides and get that x is 36 degrees.
Answer:
Step-by-step explanation:
9x - 2y = 30
x - 2y = 14
9x - 2y = 30
-x + 2y = -14
8x = 16
x = 2
2 - 2y = 14
-2y = 12
y = -6
(2, -6)
Ok sure! Let's start with the marbles first. We have one red one blue and one green. There is a red and a blue cube. All we do is list the possible combinations of one marble and one cube. The answer would be : 1 blue marble, 1 blue cube. 1 red marble, 1 blue cube. 1 green marble, 1 blue cube. Then again but with the red cube. So in all, there are 6 possible combinations. Hope this helps. ☺️