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kap26 [50]
3 years ago
5

A Ferrari is heading south at a constant speed on Broadway (a north/south street) at the same time a Mercedes is heading west on

Aloha Avenue (an east/west street). The Ferrari is 624 feet north of the intersection of Broadway and Aloha, at the same time that the Mercedes is 400 feet east of the intersection. Assume the Mercedes is traveling at the constant speed of 32 miles/hour.
Find the speed of the Ferrari so that a collision occurs in the intersection of Broadway and Aloha.
Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

49.92 miles/hour

Step-by-step explanation:

32 miles/hour = 32 * 5280 = 168960 ft/hour

For the collision to occur, both cars must arrive at the intersection at the same time.

The time it takes for the Mercedes to travel 400 feet at the rate of 168960 ft/hour is 400 / 168960 = 0.002367 hours

So the Ferrari should take the same time to travel 624 feet as well, its speed would be

624 / 0.002367 = 263577.6 ft/hour or 263577.6 / 5280 = 49.92 miles/hour  

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Answer:

Amount = Rs4420

Step-by-step explanation:

Given

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Required

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This is calculated as:

Amount = Principal + Interest

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4 0
2 years ago
My mother pays my brother twice as much allowance as she pays me because he cleans the bathrooms. Together we get $24 each week.
Harman [31]

Answer:

Your brother gets $16 and you get $8.

Step-by-step explanation:

first of all what is 16+8=24

first step..i started from 2 and did twice of that wich is 4 but that only got $6

second step.... just keep doing your multiples....

third step....as soon as i got to the number 8 i did twice of that and i got 16 then i added those and i got $24

and that is your answer.

4 0
3 years ago
Write an equation of the parabola in vertex form.
Katena32 [7]

Answer:

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. ... When written in "vertex form": • (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

6 0
3 years ago
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The value of a house is increasing by ​$2500 per year. If it is worth ​$190,000 ​today, what will it be worth in four ​years?
sineoko [7]

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3 0
3 years ago
In stage 2 of a rocket's takeoff, the speed of the rocket increases at a rate of 4.3% per minute. The speed of the rocket at the
Sveta_85 [38]

The correct option is:   B.  25000=5000(1.043)^t

<u><em>Explanation</em></u>

<u>The general form of growth equation</u> is:   A=P(1+r)^t , where A = final amount, P = initial amount, r = growth rate in decimal form and t = time duration

Here, the speed of the rocket at the beginning was 5,000 kilometers per hour and at the end will be 25,000 kilometers per hour. The speed increases at a rate of 4.3% per minute.

That means,  A= 25000 , P= 5000, r= 4.3\% = 0.043

Now <u>plugging these values into the above equation</u>, we will get......

25000=5000(1+0.043)^t\\ \\ 25000=5000(1.043)^t

So, the equation that could be used to determine the time for the speed of the rocket to reach 25,000 kilometers per hour will be:  25000=5000(1.043)^t

8 0
3 years ago
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