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Korvikt [17]
4 years ago
15

The amount of freight transported by rail in the united states was about 580 billion ton-miles in 1960 and has been increasing a

t a rate of 2.32% per year since then. write a function representing the amount of freight in billions of ton-miles, transported annually (1960=year0)
Mathematics
1 answer:
emmainna [20.7K]4 years ago
8 0
580 x 1.0232^n where n is equal to the year in question less 1960 as 1960 is the reference year.
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The perimeter of a triangle is 16 to the square root of 7 feet. If the two sides measure the square root of 343 feet and the squ
Taya2010 [7]

Answer:the length of the third side is 4√7

Step-by-step explanation:

The perimeter of a triangle is 16 to the square root of 7 feet. This is expressed as

Perimeter = 16√7 feet

The perimeter of a triangle is the sum of the length of the three sides of the triangle.

If the two sides measure the square root of 343 feet and the square root of 175, which are expressed as √343 and √175, the third length would be

16√7 - (√343 + √175)

Expressing √343 as a radical, it becomes 7√7

Expressing √175 as a radical, it becomes 5√7

7√7 + 5√7 = 12√7

Therefore, the third length would be

16√7 - 12√7 = 4√7 feet

5 0
4 years ago
If my loan is 234,000 and my interest rate is 5% how much will my monthly payment be
zubka84 [21]

Answer:

4680 I think

Step-by-step explanation:

I divided your loan and interest rate by 5%

6 0
3 years ago
You have two circular flower beds, as shown. The sum of the areas of two flower beds is 136 pi square feet. Find the radius of e
finlep [7]

Answer:

Radius of larger flower bed = 10 feet

Radius of smaller flower bed = 6 feet

Step-by-step explanation:

<u>Complete question:</u>

"You have two circular flower beds, as shown. The sum of the areas of two flower beds is 136 pi square feet. Find the radius of each bed.<em>"</em>

<em>Radius of larger flower bed = r</em>

<em>Radius of smaller flower bed = r - 4</em>

<em />

Now,

Area of circle is  \pi r^2

Since, total area is 136\pi, we can write:

\pi r^2 + \pi (r-4)^2=136\pi

Expanding and solving for r:

\pi r^2 + \pi (r-4)^2=136\pi\\r^2+(r-4)^2=136\\r^2 + r^2 - 8r + 16 = 136\\2r^2-8r-120=0\\2(r+6)(r-10)=0\\r=-6,10

Radius cannot be negative, so r = 10  &  r-4 = 10 -4 = 6

Radius of larger flower bed = 10 feet

Radius of smaller flower bed = 6 feet

8 0
3 years ago
Which of the following statements about using a protractor are correct?
DedPeter [7]
The protractor measures angles that open from left or from the right

3 0
4 years ago
Read 2 more answers
A map has a scale of 3 cm and 20 cm which statement is true or false two cities are actually 66 cm part are9.9 cm part
victus00 [196]
Answer:
Answer options
A. Two cities that are 7.5 cm apart on the map are actually 50 km apart.
D. Two cities that are actually 66 km apart are 9.9 cm apart on the map.
Step-by-step explanation:
Step 1
Indicate the scale as shown;
3 cm : 20 km, meaning 3 cm on the map represents 20 km on the ground
A). what does 7.5 cm represent on the ground
Distance on ground=(7.5×20)/3=50 km
B). what does 4 cm represent on the ground
Distance on ground=(4×20)/3=26.67 km
C). what does 45 km on ground represent on the map
Distance on map=(45×3)/20=6.75 cm
D). what does 66 km on ground represent on the map
Distance on the map=(66×3)/20=9.9 cm
8 0
3 years ago
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