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Degger [83]
3 years ago
10

The population of a town is increasing at a constant rate of 4.7% each year. At the beginning of 2010 the population was 42,000.

Find the size of the population at the beginning of 2016. Give your answer to 3 sf.
Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer:

The population at the beginning of 2016 is 55,326.

Step-by-step explanation:

Giving the following information:

Population 2010 (PV)= 42,000

Growth rate (g)= 4.7% = 0.047

Number of years (n)= 6 years

<u>To calculate the population at the beginning of 2016, we need to use the following formula:</u>

FV= PV*(1+g)^n

FV= 42,000*(1.047^6)

FV= 55,326

The population at the beginning of 2016 is 55,326.

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IF THREE DIAGONALS ARE DRAWN INSIDE A HEXAGON WITH EACH ONE PASSING THROUGH THE CENTER POINT OF THE HEXAGON, HOW MANY TRIANGLES
frosja888 [35]

Answer: 6 triangles

Step-by-step explanation:

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3 0
1 year ago
Eugenia walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph
kondor19780726 [428]

Let us say distance between Eugenia's home and school is x miles.

Speed of Eugenia when she walked from home to school = 3 mph

Speed of Eugenia when she walked from school to home = 7 mph

Total time taken = 45 minutes or 0.75 hours

We know that the speed distance formula is given by:

speed=\frac{distance}{time}

time=\frac{distance}{speed}

Time taken by Eugenia when she walked from home to school = x/3 hours

Time taken by Eugenia when she walked from school to home = x/7 hours

Total time taken = x/3+x/7

So forming an equation we have,

\frac{x}{3}+\frac{x}{7}=0.75

Taking lcd of 7 and 3 as 21,

\frac{7x}{21}+\frac{3x}{21}=0.75

\frac{10x}{21}=0.75

10x=15.75

Dividing both sides by 10 , we have

x= 1.575

Answer: So we can say that the distance between Eugenia's house and school is 1.575 miles.




4 0
3 years ago
C=36x+200 R=76x break-even point
Leokris [45]

Answer:

x = 5.

Step-by-step explanation:

The break even point is when they are equal:

76x = 36x + 200

40x = 200

x = 200/40

x = 5.

6 0
3 years ago
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The perimeter of a square field is the same as that of a rectangular field. If the length of the rectangular field is 8 km and w
Bess [88]

Answer:

42.25cm^2

Step-by-step explanation:

8+5+8+5 = 26

26/4 = 6.5

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4 0
3 years ago
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If h(a)= 3a+5 and h (a) = 27 the what is the value of a?
anzhelika [568]

Hey there!

Okay, so when you get a problem like this, all you need to do in insert the given value into the function and solve.

For example:

As you can see, they state that <em>(a) = 27, </em>so you insert 27 in for a in the function and it will look like this:

h(27) = 3(27) + 5

Now you solve on the right side of the equal sign:

3(27) = 81 (you multiply them)

81 + 5 = 86

When you plug the value of 27 in for a in this function, your output is equal to 86.

3 0
3 years ago
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