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Diano4ka-milaya [45]
3 years ago
5

The population of Brazil was 162,300,000 in 1995. It was growing at a rate of about 2% per decade. Predict the population, to th

e nearest hundred thousand, of Brazil in 2015
Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

Answer:

The population is 168,900,000 to the nearest hundred thousand

Step-by-step explanation:

In this question, we are tasked with calculating the population of Brazil given its population in 1995 and her growth rate per decade.

Mathematically, we use an exponential function to calculate this population.

This can be written as P = I(1 + r)^n

where P is the population in 2015 which we are looking for,

I is the initial population which is 162,300,000

r is the rate of increase per decade given as 2% = 2/100 = 0.02,

n is the number of times between the years we are expecting this growth. The difference between the years 2015 and 1995 is 20 years which signifies 2 decades(1 decade is 10 years). Thus our n is 2

We plug these values into the equation above;

P = 162,300,000(1+0.02)^2

P = 162,300,000(1.02)^2

P = 168,856,920 which is 168,900,000 to the nearest hundred thousand

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some psychologists believe that a genius should be defined as anyone having an IQ over 140. If IQ scores are normally distribute
denis23 [38]

Answer:

61,239,550

Step-by-step explanation:

We let the random variable X denote the IQ scores. This would imply that X is normal with a mean of 100 and standard deviation of 17. We proceed to determine the probability that an individual chosen at random from the population would be a genius, that is;

Pr( X>140)

The next step is to evaluate the z-score associated with the IQ score of 140 by standardizing the random variable X;

Pr(X>140)=Pr(Z>\frac{140-100}{17})=Pr(Z>2.3529)

The area to the right of 2.3529 will be the required probability. This area from the standard normal tables is 0.009314

From a population of 6,575,000,000 the number of geniuses would be;

6,575,000,000*0.009314 = 61,239,550

6 0
3 years ago
Read 2 more answers
(This question is related to the picture question)
UNO [17]

Answer:

5. f(x) = 10,000 (1.5)^x

Step-by-step explanation:

==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.

  • Let's test it

Initial: 10,000

After 1 year

10,000 + (.5*10000)

10,000 + 5000 = 15,000

--

After 2 years

15,000 + (.5*15000)

15,000 + 7500 = 22,500

--

Let's try our equation.

f(x) = 10,000 (1.5)^x

x=2

10,000(1.5)^2

10,000(2.25) = 22,500

*Edit: I just seen that the question is related to the picture question

6 0
2 years ago
video streaming company a charges a one-time $40 membership fee and $2 per video stream. video streaming company b charges a one
ExtremeBDS [4]

Answer:

Company A:

c = 40 + 2s

Company B:

c = 20 + 4s

Equal costs => 40 + 2s = 20 +4s => 4s - 2s = 40 - 20 => 2s = 20 => s = 20/2

=> s = 10

And c = 20 + 4s = 20 + 4(10) = 20 + 40 = 60

Step-by-step explanation:

8 0
3 years ago
I need to double check a answer. For measure 1 and 3 I got 117, is that right? But for measure 2 I got 63 which is wrong but I h
cupoosta [38]

Answer:

All are 63

Step-by-step explanation:

m∠1 = 180 - 117 = 63 (linear pair)

m∠2 = 63 (alternate interior angle with ∠1)

m∠3 = m∠1 = 63 (isosceles triangle property)

Hope it helps :)

Please mark my answer as the brainliest

3 0
3 years ago
At a farmers market, Samuel bought 3 pounds of apples for x dollars per pound and 2 bags of spinach for y dollars each. The next
andre [41]

Answer:

A. 8x+5y

Step-by-step explanation:

First day: 3x+2y

Second day: 5x+3y

Add both expressions together.

(3x+2y)+(5x+3y) =

= 3x+2y+5x+3y=8x+5y

Hope this helps!

If not, I am sorry.

6 0
2 years ago
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