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erastovalidia [21]
3 years ago
13

Given two temperatures, 39 °F and 51 °F, which of the following correctly compares the number of chances for particles to bounce

off each other during a chemical reaction?
Same at both
Lower at 51 °F
Lower at 39 °F
Does not depend on temperature
Mathematics
2 answers:
spin [16.1K]3 years ago
3 0
The answer to this question would be: 
<span>Lower at 39 °F

The kinetic energy of a molecule is influenced by temperature. Higher temperature will result in higher kinetic energy which means the molecule moves at a higher velocity. This will increase the chance of the chemical reaction. That is why the rate of reaction will be higher at the higher temperature. Then, a lower temperature will mean a lower speed too.</span>
Artist 52 [7]3 years ago
3 0
I think the answer is d am I wrong

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Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i
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Answer:

1. 10.7 years

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3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},

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A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then


17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},

3=(1.0054)^{12t},

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t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.

The best will be 2nd option, because $8032.58>$7936.39

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