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spayn [35]
3 years ago
15

The value of 850,000 shares of CoMark stock is $1,750,000. The underwriting commission is 10%. The total of other selling expens

es is $521,464. What are the net proceeds from the sale of the stock?
Mathematics
1 answer:
timama [110]3 years ago
8 0
Given:
value of 850,000 shares is 1,750,000
underwriting commission is 10%
selling expenses 521,464.00

1,750,000 * 10% = 175,000 commission
175,000 + 521,464 = 696,464

1,750,000 - 696,464 = 1,053,536 net proceeds from the sale of stocks.
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Suppose that the concentration of a bacteria sample is 60 comma 000 bacteria per milliliter. If the concentration triples in 4 ​
Elodia [21]

Answer:

1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

Step-by-step explanation:

The inicial concentration is 60,000, and this concentration triples every 4 days, so we can write the equation:

P = Po * r^t

where P is the final concentration after t periods of 4 days, Po is the inicial concentration and r is the ratio that the concentration increases (r = 3)

Then, we have that:

102000 = 60000 * 3^t

3^t = 102/60 = 1.7

log(3^t) = log(1.7)

t*log(3) = log(1.7)

t = log(1.7)/log(3) = 0.483

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Evaluate the function for an input value of 2
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f(2) = -2*(2)^2 - 2^2 + 4 = -8 - 4 + 4 = -8

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Which expressions are equivalent to 2^5•2^4? Check all that apply.
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Option A: 2^9

Option E: 2^{-2}.2^{11}

Option F: (2.2.2.2.2)(2.2.2.2)

Solution:

Given expression is 2^5.2^4.

To find which expression is equivalent to the given expression.

Option A: 2^9

Using exponent rule: a^b.a^c=a^{(b+c)}

2^5.2^4=2^{(5+4)}=2^9

Therefore 2^9 is equivalent to the given expression.

Option B: 2^{20}

It is not equivalent to the given expression.

Option C: 2.2^9

2.2^9=2^{(1+9)}=2^{10}

Therefore, It is not equivalent to the given expression.

Option D: 2^{10}.2^2

2^{10}.2^2=2^{(10+2)}=2^{12}

Therefore, It is not equivalent to the given expression.

Option E: 2^{-2}.2^{11}

2^{-2}.2^{11}=2^{(2-11)}=2^9

Therefore, It is equivalent to the given expression.

Option F: (2.2.2.2.2)(2.2.2.2)

(2.2.2.2.2)(2.2.2.2)=2^5.2^4

Therefore, It is equivalent to the given expression.

Hence option A, Option E and Option E are equivalent to the given expression.

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