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Alekssandra [29.7K]
2 years ago
5

sara drives 117 miles on 5.2 gallons of gas.she uses this information to calculate how many miles per gallon she can drive. usin

g this result, how many miles can sara drive on 12 gallons of gas?
Mathematics
1 answer:
Vesnalui [34]2 years ago
4 0
I think its 270 miles per gallon
 
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An option to buy a stock is priced at $150. If the stock closes above 30 next Thursday, the option will be worth $1000. If it cl
valentina_108 [34]

Answer:

Step-by-step explanation:

An option to buy a stock is priced at $150. If the stock closes above 30 next Thursday, the option will be worth $1000. If it closes below 20, the option will be worth nothing, and if it closes between 20 and 30, the option will be worth $200. A trader thinks there is a 50% chance that the stock will close in the 20-30 range, a 20% chance that it will close above 30, and a 30% chance that it will fall below 20.

a) Let X represent the price of the option

<h3><u>  x                  P(X=x) </u></h3>

$1000         20/100 = 0.2

$200          50/100 = 0.5

$0              30/100 = 0.3

b) Expected option price

= \sum x.P(X=x)\\\\ = 1000 * 0.2 + 200 * 0.5 + 0 = \$ 300

Therefore expected gain = $300 - $150 = $150

c) The trader should buy the stock. Since there is an positive expected gain($150) in trading that stock option.

7 0
3 years ago
The distance from Houston to
marissa [1.9K]

Answer:

distance from Houston to Galveston in  kilometers will be: 80km

Step-by-step explanation:

Given

The distance from Houston to  Galveston is about 50 miles.

i.e.

Kilometers in 1 Mile = 1.6 km

As the distance from Houston to  Galveston is about 50 miles, so

The distance from Houston to Galveston in  kilometers will be:

50(1.6) = 80   ∵ Kilometers in 1 Mile = 1.6 km

Therefore,

The distance from Houston to Galveston in  kilometers will be: 80km

8 0
2 years ago
Your grandparents invested $2,000 for you on the day you were born. How much will this investment be worth on your 25th birthday
algol [13]

We know that, Amount in Compound interest is given by :

\bigstar \ \ \boxed{\sf{Amount = Principal\bigg(1 + \dfrac{Rate \ of \ Interest}{100}\bigg)^{Time \ Period}}}

Given : Principal = $2000

Given : Annual yield is 5% and the interest is compounded quarterly

It means : Interest is compounded 4 times in a year

\implies \sf{Rate \ of \ Interest = \dfrac{R}{4} = \dfrac{5}{4}}

\sf{\implies Time \ period = (25 \times 4) = 100}

Substituting all the values in the formula, we get :

\implies \sf{Amount = 2000\bigg(1 + \dfrac{\dfrac{5}{4}}{100}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(1 + \dfrac{5}{400}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(1 + \dfrac{1}{80}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(\dfrac{81}{80}\bigg)^{100}}

\implies \sf{Amount = 2000 \times (1.0125)^{100}}

\implies \sf{Amount = 2000 \times 3.463}}

\implies \sf{Amount = 6926.8}

8 0
3 years ago
What is the least common multiple of 6, 18, and 8?
nexus9112 [7]

Answer:

6 = 2 • 3  

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6 0
3 years ago
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A horizontal line contains points A, C, B. 2 lines extend from point C. A line extends to point E and another line extends to po
Effectus [21]

Answer:

Option (2).

Step-by-step explanation:

In the figure attached,

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2 lines EC and DC have been drawn by extending the lines from C to E and D respectively.

Ray CE is the angle bisector of ∠ACD.

That means CE divides ∠ACD in two equal parts.

m∠ACE = m∠DCE

Since m∠ACD = m∠ACE + m∠DCE

                        = 2(m∠ACE)

          m∠ACE = \frac{1}{2}(\angle ACD)

Therefore, option (2) will be the answer.

6 0
3 years ago
Read 2 more answers
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