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Likurg_2 [28]
3 years ago
10

Suppose the population of a certain city is 5289 thousand. It is expected to decrease to 4530 thousand in 50 years. Find the per

cent decrease.
The percent decrease is approximately \%.
(Round to the nearest tenth.)
Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer:

14.4% decrease

Step-by-step explanation:

Here is the formula for finding the percentage of decrease:

(starting value - final value) / starting value * 100.

So for your question,

\frac{5289-4530}{5289} =.0144\\.0144 * 100 = 14.4\\/

There was a 14.4% decrease within 50 years.

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The matrix exists as a set of numbers placed in rows and columns to create a rectangular array. The manager could achieve scalar multiplication on Matrix A, utilizing the scalar 1.15.

<h3>What is the matrix?</h3>

The matrix exists as a set of numbers placed in rows and columns to create a rectangular array. The numbers exist named the elements, or entries, of the matrix. Matrices contain wide applications in engineering, physics, economics, and statistics as well as in different branches of mathematics.

Increasing the price by 15% would mean we exist taking 100% of the value + another 15%

100 + 15 = 115%

115% = 115/100 = 1.15.

Multiplying every value in Matrix A by 1.15 will give the price raised by 15%.

Therefore, the correct answer is option c. by multiplying each entry of matrix a by 1.15.

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7 0
2 years ago
suppose that you have a black box, with certain red balls and white balls. draw a ball from the box, write down the color, and p
Rudik [331]

If a bag contains white, black and red balls only and the probability of getting a white ball is 3/10 and the probability of a black ball is 2/5 then the probability of getting red balls is 3/10.

Given that a bag contains white, black and red balls only and the probability of getting a white ball is 3/10 and the probability of a black ball is 2/5.

We are required to find the probability of getting red balls.

Probability=Number of items/Total items

Probability of getting red balls=1-(Probability of getting white balls +Probability of getting black balls)

=1-(3/10+2/5)

=1-7/10

=3/10

Hence if a bag contains white, black and red balls only and the probability of getting a white ball is 3/10 and the probability of a black ball is 2/5 then the probability of getting red balls is 3/10.

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3 0
1 year ago
Line AB, segment DF, and segment CE are drawn. Segments DF and CE intersect at point Z. Which statement about the diagram is tru
Tju [1.3M]

Step-by-step explanation:

A chord is a segment with endpoints on the circle.

A tangent line is a line that touches a circle at only one point.

A diameter is a chord that passes through the center of the circle.

A secant line is a line that touches a circle at two points.

Therefore, AB is a secant line.

8 0
3 years ago
As a motorcycle accelerates at 5.1 m/s2, its speed changes from 16 km/h to 118 km/h. How long does this take?
ser-zykov [4K]
<em>Acceleration (a) = 5.1 m/s</em>²
<em>Initial speed (u) = 16 km/h </em>⇒ \frac{16*1000}{3600} <em>m/s </em>≈ <em>4.5m/s</em><em>
</em>
<em>Final speed (v) =118 km/h </em>⇒ \frac{118*1000}{3600} <em>m/s</em> ≈ <em>32.8m/s</em><em>
</em>

Distance(S) travel in that particular instant is carried out by 'Third equation of motion' i.e., v² = u² + 2aS

<em>So, When all quantities are in S.I. unit then,
</em>
putting the values in the equation of motion,

<em /><em>As we have to carry out the distance covered,
</em><em>2</em>·<em>a</em>·<em>S = v</em>² <em>- u</em>²
<em>S = </em>\frac{ v^{2} - u^{2} }{2a}
Putting values in derived equation,
⇒ <em>S = </em>\frac{ (32.8)^{2} - (4.5)^{2} }{2*(5.1)}
⇒ <em>S = </em>\frac{ 1075.84 - 20.25}{10.2}
⇒ <em>S = </em>\frac{1055.59}{10.2}
⇒ <em>S </em>≈ <em>103.489</em> <em>m
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The total distance covered in that given condition is approx. 103.289 m.</em>
8 0
3 years ago
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Follow the rule to find the output for an input of -4. output = input x 17
vladimir2022 [97]

Answer:

output = - 68

Step-by-step explanation:

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