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VashaNatasha [74]
3 years ago
6

Deduce the RNA If DNA had 5 different bases, a restriction enzyme with a 4-base recognition sequence would predicted to digest t

he DNA approximately every A. 125 bp. B. 256 bp. C. 425 bp. D. 625 bp. E. 1056 bp. Assume the frequency of all 5 nucleotides are same.
Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Answer:

option (D) 625 bp

Step-by-step explanation:

Data provided in the question :

Number of different bases, B = 5

Number of base recognition sequence, n = 4

Frequency of all 5 nucleotides are same

Now,

The RNA will be deduced using the formula as:

⇒ Bⁿ

on substituting the respective values, we get

⇒ 5⁴

or

⇒ 625 bp

Hence, the correct answer is option (D) 625 bp

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Each sequence has eight terms. Evaluate each related series. 1,-1,-3, . . . . . . -13
o-na [289]

The sum of the 8 terms of the series 1-1-3-5- ... -13 is -48

The given sequence is:

1,-1,-3,  . . -13

and there are 8 terms.

The related series of this sequence is:

1-1-3-5- ... -13

Notice that the series is an arithmetic series with:

first term, a(1) = 1

common difference, d = -1 - (1) = -2

last term, a(8) = -13

To find the sum of the series, use the sum formula:

S(n) = n/2 [(a(1) + a(n)]

Substitute n = 8, a(1) = 1, a(n) = a(8) = -13 into the formula:

S(8) = 8/2 [1 + (-13)]

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Answer the following:<br>a) 3x 8 + 2 x 5 =<br>b) 3* (8 + 2)* 5 =​
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yes

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Suppose $1000 is invested at a rate of 13% per year compounded monthly. (Round your answers to the nearest cent.)
masya89 [10]

Answer:

a.  $1010.83

b.$1066.77

c. $1138.00

d.$13,269.22

Step-by-step explanation:

Given the annual rate as 13%(compounded monthly) and the principal amount as $1000.

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i_m=(1+i/m)^m-1\\\\i_{12}=(1+0.13/12)^{12}-1=0.1380

The compounded amount after 1 month is therefore:

P_1=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_1=1000(1+0.1380)^{1/12}\\\\P_1=1010.83

Hence, the principle after one month is $1010.83

b. The principal after 6 months:

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P_{6m}=P(1+i_m)^n, \ n=6m, P=1000, i_m=0.1380\\\\P_{6m}=1000(1+0.1380)^{6/12}\\\\=1066.77

Hence,  the principal after 6 months is $1066.77

c.The principal after 1 year:

-From a above we have the effective annual rate as 0.1380 and our time is 12 months:

P_{1y}=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_{1y}=1000(1+0.1380)^{12}\\\\P_{1y}=1138

Hence,  the principal after 1 year is $1138.00

d. The principal after 20years:

-From a above we have the effective annual rate as 0.1380 and our time is 20yrs:

P_{20y}=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_{20y}=1000(1+0.1380)^{12}\\\\P_{20y}=13269.22

Hence,  the principal after 20 years is $13,269.22

3 0
3 years ago
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