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wolverine [178]
3 years ago
5

A city has a population of 310,000 people. Suppose that each year the population grows by 9%. What will the population be after

13 years?
Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0

Answer: 644,800

Step-by-step explanation:

This can also be solved using the terms of Arithmetic Progressions.

Let the 13 years be number of terms of the sequences (n)

Therefore ;

T₁₃              = a + ( n - 1 )d , where a = 310,000 and d = 9% of 310,000

9% of 310,000 = 9/100 x 310,000

                        = 27,900

so the common difference (d)

                     d = 27,900

Now substitute for the values  in the formula above and calculate

T₁₃              = 310,000 + ( 13 - 1 ) x 27,900

                  = 310,000 + 12 x 27,900

                  = 310,000 + 334,800

                  = 644,800.

The population after 13 years = 644,800.

 

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224 is what % of 640?
lakkis [162]
There is a percent formula for all of these types of percent problems.

It is : is/of = %/100

224 is what % of 640
is = 224
of = 640
% = x
now just sub
224/640 = x/100
cross multiply because this is a proportion
(640)(x) = (224)(100)
640x = 22400
x = 22400/640
x = 35......so 224 is 35% of 640


5 0
3 years ago
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39/250 in simplest form
OleMash [197]
Getting the simplest form of a fraction is the same with getting its lowest term. Reducing fractions to its lowest term is a very simple thing to do. Here's how to simplify fractions:

There are two ways in simplifying fractions. The first method is to equally divide both numerator and denominator which results to only whole numbers. Getting the GCF (Greatest Common Factor) or GCD (Greatest Common Divisor) is the second method.

As to the fraction above, 39/250, the second method is applicable.
Let us get the GCF of 39 and 250
39= 1,3,13,39
250= 1, 2, 5,  10, 25, 50, 125, 250

Therefore, the GCF of 39 and 250 is 1. We can conclude then that 39/250 is already on its simplest form thus;
  <u>39</u>  ÷     <u>1</u> is equal to     <u>39</u>
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7 0
3 years ago
Find the area of the circle r=14m use pi=3.14 and round your answer to the nearest hundredth
pantera1 [17]

Answer:

<h2>The answer is 615 m²</h2>

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius

From the question

r = 14 m

π = 3.14

The area of the circle is

A = 3.14 × ( 14 ) ²

= 3.14 × 196

= 615.44

We have the final answer as

<h3>615 m² to the nearest whole number</h3>

Hope this helps you

7 0
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Bad White [126]

Answer: 33 gallons

Step-by-step explanation:

We initially have 130 gallons of a 9\% acid solution and we need to change it to a 12\% acid solution, and for that it is necessary to evaporate n gallons of water.

So, this situation can be mathemtically expressed as follows:

(130)(9\%)=(130-n)(12\%)

Then:

(130)(\frac{9}{100})=(130-n)(1\frac{12}{100})

Isolating n:

11.7=15.6-0.12 n

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Hence, we need to evaporate 33 gallons of water.

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nikitadnepr [17]

23,356 the answer rounded to nearest whole number

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