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horrorfan [7]
2 years ago
13

How much interest is earned in 2 years on an investment of $2,000? The interest rate

Mathematics
2 answers:
Bumek [7]2 years ago
8 0

Answer: 120 is the right answer i think im not sure

Step-by-step explanation:

natita [175]2 years ago
7 0

Answer:

D. $120

Explanation:

P= principal amount, which is $2000 in this case

R= interest rate. In this case, it's 3% per year (or 0.03 in decimal form)

T= time, which in this case is 2.

To find the simple interest, we multiply 2000 × 0.03 × 2 to get 120.

I hope this helped! :)

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My name is Ann [436]
<span>From the message you sent me:

when you breathe normally, about 12 % of the air of your lungs is replaced with each breath. how much of the original 500 ml remains after 50 breaths

If you think of number of breaths that you take as a time measurement, you can model the amount of air from the first breath you take left in your lungs with the recursive function

b_n=0.12\times b_{n-1}

Why does this work? Initially, you start with 500 mL of air that you breathe in, so b_1=500\text{ mL}. After the second breath, you have 12% of the original air left in your lungs, or b_2=0.12\timesb_1=0.12\times500=60\text{ mL}. After the third breath, you have b_3=0.12\timesb_2=0.12\times60=7.2\text{ mL}, and so on.

You can find the amount of original air left in your lungs after n breaths by solving for b_n explicitly. This isn't too hard:

b_n=0.12b_{n-1}=0.12(0.12b_{n-2})=0.12^2b_{n-2}=0.12(0.12b_{n-3})=0.12^3b_{n-3}=\cdots

and so on. The pattern is such that you arrive at

b_n=0.12^{n-1}b_1

and so the amount of air remaining after 50 breaths is

b_{50}=0.12^{50-1}b_1=0.12^{49}\times500\approx3.7918\times10^{-43}

which is a very small number close to zero.</span>
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