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mario62 [17]
3 years ago
9

on October 17, 2006 in an article called US Population Reaches 300 million, the BBC reported that the US gains 1 person every 11

seconds. If f(t) is the US population in millions t years after October 17, 2006, find f(0) and f'(0).
Mathematics
1 answer:
docker41 [41]3 years ago
6 0
<span>The area of an n-sided regular polygon approaches the area of a circle as n gets very large. ... If an N-gon (polygon with N sides) has perimeter P, then each of the N ... and we can use one of them to derive theequation sin(theta/2) ... 2*pi/N radians), R is the length of the lines to the center (the radius of the ...</span><span>
</span>
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Which sequence below represents an exponential sequence A.) {2,6,10,14,18,...} B.) {3,5,9,16,24,...} C.) {4,8,24,96,...} D.) {25
denis-greek [22]

Answer:

  D.)  {256,64,16,4,...}

Step-by-step explanation:

Look for the sequence in which adjacent terms are related by a common ratio.

  A. 10/6 ≠ 6/2

  B. 9/5 ≠ 5/3

  C. 8/4 ≠ 24/8

  D. 64/256 = 16/64 = 4/16 = 1/4 . . . . this exponential sequence has a common ratio of 1/4

6 0
3 years ago
Z=a/b+c/d solve for A
PilotLPTM [1.2K]

Answer: a=\frac{b(zd-c)}{d}

Step-by-step explanation:

Having the following equation given in the exercise:

z=\frac{a}{b}+\frac{c}{d}

You can solve for "a" following this procedure:

1. You can apply the Subtraction property of equality and subtract \frac{c}{d} from both sides of the equation:

z-(\frac{c}{d})=\frac{a}{b}+\frac{c}{d}-(\frac{c}{d})\\\\z-\frac{c}{d}=\frac{a}{b}

2. Now you must subtract the terms on the left side of the equation. Notice that the Least Common Denominator is "d". Then:

\frac{zd-c}{d}=\frac{a}{b}

3. Finally, you can apply the Multiplication property of equality and multiply both sides of the equation by "b". So, you get:

(b)(\frac{zd-c}{d})=(\frac{a}{b})(b)\\\\a=\frac{b(zd-c)}{d}

6 0
3 years ago
uppose that​ Mary's utility function is​ U(W) = W0.5​, where W is wealth. She has an initial wealth of​ $100. How much of a risk
Stels [109]

Note that U(W) = W^{0.5}

Answer:

Mary's risk premium is $0.9375

Step-by-step explanation:

Mary's utility function,  U(W) = W^{0.5}

Mary's initial wealth = $100

The gamble has a 50% probability of  raising her wealth to $115 and a 50% probability of lowering it to $77

Expected wealth of Mary, E_w

E_{w} = (0.5 * $115) + (0.5 * $77)

E_{w} = 57.5 + 38.5

E_{w} = $96

The expected value of Mary's wealth is $96

Calculate the expected utility (EU) of Mary:-

E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75

The expected utility of Mary is $9.75

Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where

U(EW - P) is equal to Mary's expected utility from the risky gamble.

U(EW - P) = EU

U(94 - P) = 9.63

Square root (94 - P) = 9.63

If Mary's risk premium is P, the expected utility will be given by the formula:

E_{u} = U(E_{w} - P)\\E_{u} = U(96 - P)\\E_u = (96 - P)^{0.5}\\(E_u)^2 = 96 - P\\ 9.75^2 = 96 - P\\95.0625 = 96 - P\\P = 96 - 95.0625\\P = 0.9375

Mary's risk premium is $0.9375

7 0
3 years ago
What is the LCM of 4 and 18
Verizon [17]

Answer:

36

Explanation:

Multiples of 4 are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64,...

Multiples of 18 are:

18, 36, 54, 72, 90, 108, 126, 144,...

The least common multiple of 4 and 18 is 36.

4 0
2 years ago
Lacey measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. A building at the coll
Artyom0805 [142]

Answer:  Rafi measured a summer camp and made a scale drawing. The scale he used was 1 millimeter = 3 meters. The sand volleyball court is 6 millimeters in the drawing.

Step-by-step explanation:

4 0
2 years ago
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