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Scilla [17]
3 years ago
15

A marathon takes place each year.In 2020 there were 6500 runners.Does this predict that in 2023 there will be more than 7500 run

ners? { Prediction : For each of the next 3 years the number of runners will increase by 5% } Does this predict that in 2023 there will be more than 7500 runners?
Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:

yes

there would be 7525 runners

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r) n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

6500 x (1.05)^3 = 7525 runners

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An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right
Vinvika [58]

Answer:

The sides are 30 ft, 40 ft and 50 ft.

Step-by-step explanation:

The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.

Using Pythagoras theorem the length of the sides can be found.

a² + b² = c²

(x - 4)² + (x + 6)² = (2x - 18)²

(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)

x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324

2x² - 8x + 12x + 16 + 36 = 4x² - 72x +  324

2x² + 4x + 52 = 4x² - 72x +  324

2x² - 4x² + 4x + 72x + 52 - 324 = 0

-2x² + 76x - 272 = 0

2x² - 76x + 272 = 0

divide through by 2

x² - 38x + 136 = 0

find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.

x² - 4x - 34x + 136 = 0

x(x - 4) - 34(x - 4) = 0

(x - 4)(x - 34 ) = 0

x = 4 or 34

we can only use 34 since using 4 will result to negative number.

x - 4  = 34 - 4 = 30 ft

x + 6 = 34 + 6 = 40 ft

2x - 18 = 68 - 18 = 50 ft

6 0
3 years ago
Write the unit fraction that is represented?
Ugo [173]
What is the question?

6 0
3 years ago
Simplify 2x 2 - y for x = 3 and y = -2.<br><br> I got 20. Is this correct?
mina [271]

Answer: No it is in correct the answer is actually -x3 + 2x + y

Step-by-step explanation:

3 0
3 years ago
Somebody please help me fast
nydimaria [60]
Use the equation 

-2 - 5 = -7
0 - -3 = 3     

-4 - 1 = -5 
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this is all i am going to tell you

think you can figure the rest out on your own

Hope i helped mate!



8 0
3 years ago
Transversal relations ( find x)
STALIN [3.7K]

Answer:

<em>x</em> = 75

Step-by-step explanation:

Since if you could take the second line on the line and move it down a bit it would be the same angle and so all you have to do is 90-15 = 75 so x=75.

P.S (I'm sorry if this didn't help :( )

8 0
3 years ago
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