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2 years ago

In a city the population is increasing exponentially at a rate of 1.6% per year.

Mathematics

2 answers:

forsale [732]2 years ago

7 0

Answer:

32% increase at the end of 20 years

Step-by-step explanation:

If the population increases at a rate of 1.6% per year, we should multiply it by the number of years that passed, which in this case, is 20. When we multiply those, we get 32%.

(hope this helped)

SCORPION-xisa [38]2 years ago

3 0

Answer:

37.36%

Step-by-step explanation:

Each year it increases 1.6%.

So year 1 it increases (1+1.6%), year 2 increases (1+1.6%)^2 and so on...

so after 20 years, overall increase is found by 1.016^20 = 1.3736 or increase of 37.36%

please give thanks :)

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00:00

lara [203]

Answer:

It will take 39.27 gallons to repaint the barn.

Step-by-step explanation:

The image of the setup is obtained from online and attached to this solution.

The rectangular prism is a cuboid of

Length = 84 ft

Breadth = 38 ft

Height = 20 ft

And the triangular prism on top of the rectangular prism has a vertical height of 12 ft.

The surface area of the composite structure that is available for painting include the 4 sides of the top triangular prism and the four sides of rectangular prism

Two of the faces of the triangular prism are triangles with base of 38 ft and height of 12 ft.

The other two faces of the triangular prism are rectangles with length 84 ft and breadth of the hypoteneuse of the right angled triangle on top.

B² = 12² + 19²

B = 22.47 ft

Total Surface area of the faces of the rectangular prism is then

2×(84×20) + 2×(38×20) = 4880 ft²

Total surface area of the faces of the triangular prism is then

2×(0.5×12×38) + 2×(84×22.47) = 4,230.96 ft²

Total surface area = 4880 + 4230.96 = 9110.96 ft²

1 gallon of paint = 232 ft²

x gallons of paint = 9110.96 ft²

x = (1×9110.96/232) = 39.27 gallons.

Hope this Helps!!!

5 0

3 years ago

7. Given the following information, calculate, in order, the amount credited and the outstanding balance.

svp [43]

Answer:

C. $824.74, $175.26

Step-by-step explanation:

1) Amount Credited

The formula to calculate the amount credited =

Amount paid ÷ ( 100% - Discount)

Discount is given in the question as 3/10

Where 3 = Discount rate

Amount paid = $800

Amount credited = 800/( 100% - 3%)

= 800/ 97%

= 800/ 0.97

= $824.74

b) Outstanding balance = Invoice - Amount credited

Invoice = $1000

Amount credited = $824.74

Outstanding balance = $1000 - $824.74

= $175.26

5 0

3 years ago

Please help me i dont understand

Alex17521 [72]

Answer:

It is linear. It is linear because it is a strait line which means that it is a function. A not linear line would look like a noodle.

3 0

2 years ago

Read 2 more answers

A line passes through the point (4. 8) and has a slope of

valentina_108 [34]

Answer:

y=5x-12

Step-by-step explanation:

use equation y=mx+b

8=5(4)+b

8=20+b

-20 -20

-12=b

Final equation:

y=5x-12

6 0

2 years ago

Solve the inequality and express your answer in interval notation<br> x^2+8x+5 <0

irakobra [83]

The interval notation is $(-\sqrt{11}-4, \sqrt{11}-4)$

Explanation:

The inequality is $x^{2}+8 x+5$

Let us complete the square, we get,

$x^{2}+8 x+5+4^{2}-4^{2}$

Simplifying, we have,

$(x+4)^{2}+5-4^{2}$

$(x+4)^{2}-11$

Adding both sides of the equation by 11, we get,

$(x+4)^{2}$

Since, we know that for $u^{n}$ , if n is even then $-\sqrt[n]{a}$

Thus, writing the above expression in this form, we get,

$-\sqrt{11}$

Also, if $a$ then $a$ and $u$

Then ,we have,

$-\sqrt{11}$ and $x+4$

Solving the inequalities, we get,

$-\sqrt{11}\ \ \ \ \ \$ and $x+4$

Merging the intervals, we have,

$-\sqrt{11}-4$

Hence, writing the solution in interval notation, we have,

$(-\sqrt{11}-4, \sqrt{11}-4)$

Therefore, the answer is $(-\sqrt{11}-4, \sqrt{11}-4)$

7 0

3 years ago