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ladessa [460]
2 years ago
10

The table below shows the amount of time a light stays green, red, and yellow (for one cycle) during the day and during the nigh

t. Day Night Light is green 2 minutes 3 minutes Light is red 3 minutes 4 minutes Light is yellow 20 seconds 30 seconds Is it more likely for you to have to wait at red light during the day or at night? How much more likely? Show all of your work.
Mathematics
1 answer:
Lady_Fox [76]2 years ago
6 0

Answer:i am sorry bud i have nio ideavjkfdav

Step-by-step explanation:fdanmfva e.dn f,da/

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If the price of a car decreases by 12%, the price would be 26,880. What is the original price
melomori [17]

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26,880/12%=224000

Step-by-step explanation:

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If 18 percent VAT is included in the price
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Mr. Smith traveled to a city 300 miles from his home to attend a meeting. Due to car trouble, his average speed returning was 6
Kryger [21]

Answer: The speed at which he traveled to the city is 69.8 mph

Step-by-step explanation:

Let x represent the speed at which he traveled to the city.

Mr. Smith traveled to a city 300 miles from his home to attend a meeting.

Time = distance/speed

Time taken to travel to the city is

300/x

Due to car trouble, his average speed on returning was 6 mph less than his speed going. This means that the speed at which he returned is (x - 6) mph. Time taken to return from the city is

300/(x - 6)

If the total time for the round trip was 9 hours, it means that

300/x + 300/(x - 6) = 9

Cross multiplying by x(x - 6), it becomes

300(x - 6) + 300x = 9x(x - 6)

300x - 1800 + 300x = 9x² - 54x

9x² - 54x - 300x - 300x - 1800 = 0

9x² - 654x -1800 = 0

Applying the general quadratic equation,

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 9

b = - 654

c = 1800

Therefore,

x = [- - 654 ± √(- 654² - 4 × 9 × 1800)]/2 × 9

x = [654 ± √(427716 - 64800)]/18

x = [654 ± √362916.4]/18

x = (654 + 602.4)/2 or x = (654 - 602.4)/18

x = 1256.4/18 or x = 51.6/18

x = 69.8mph or x = 2.9 mph

The speed at which he traveled to the city is 69.8 mph

By checking,

Time spent travelling to the city = 300/69.8 = 4.3 hours

Time spent returning =

300/(69.8 - 6) = 4.7 hours

4.3 + 4.7 = 9 hours

3 0
3 years ago
Enter the solution to the equation y=f(x) and y=g(x)
Crazy boy [7]

Answer:

trgfdsvcx

Step-by-step explanation:

kj,m

8 0
3 years ago
$4000 is invested in a mutual fund that pays annual interest compounded quarterly for 15 years. What annual interest is needed t
Neporo4naja [7]

Answer:

The interest needed to reach that value of $6000 is 2.75%

Step-by-step explanation:

Given as :

The principal that invested in mutual fund = p = $4000

The time period = t = 15 years

The Amount after 15 years = A = $6000

Let The interest needed to reach that value = r%

Now, According to question

<u>From Compound Interest method</u>

Amount = principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, $6000 = $4000 × (1+\dfrac{\textrm r}{100})^{\textrm 15}

or, \dfrac{6000}{4000} = (1+\dfrac{\textrm r}{100})^{\textrm 15}

Or, \frac{3}{2} = (1+\dfrac{\textrm r}{100})^{\textrm 15}

or, 1.5 = (1+\dfrac{\textrm r}{100})^{\textrm 15}

or, 1.5^{\frac{1}{15}} = (1+\dfrac{\textrm r}{100})

or, 1.0275 =  (1+\dfrac{\textrm r}{100})

or, 1.0275 - 1 = \dfrac{r}{100}

or, 0.0275 = \dfrac{r}{100}

∴ r = 0.0275 × 100

I.e r = 2.75

So, The interest needed to reach that value = r = 2.75%

Hence,The interest needed to reach that value of $6000 is 2.75% Answer

3 0
3 years ago
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