Solve the system of equation by graphing <br><br> Y=4x-3

The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

6 0

3 years ago

Right trapezoid WXYZ is shown. Right trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. Angle W is 73 degrees and angle

Sladkaya [172]

Answer:

∠WXY = 107°

Step-by-step explanation:

In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°. ∠W and ∠WXY are adjacent, so they are supplementary. 180° - 73° = 107°.

Another way to do this is to know that there are 360° in a trapezoid. This is a right trapezoid, so two of the angles are 90°. One angle is 73°. 90° + 90° + 73° = 253°. 360° - 253° = 107°.

I hope this helps :))

3 0

3 years ago

Reem earns $16 per hour for the first 8 hours of her shift. For each additional hour she works beyond the first 8 hours, she ear

RideAnS [48]

The single shift worked by Reem is 16 hours long.

Total earned = $320

First 8 hours (earning per hour) = $16

Additional hours = $24 per hour

Let the total number of hours worked = m

The Number of hours after 8 hours = m - 8

Representing the scenario with an equation :

(16 × 8) + (24 × (m - 8)) = 320

128 + 24m - 192 = 320

-64 + 24m = 320

24m = 320 + 64

24m = 384

Divide through by 24

m = 384 / 24

m = 16

Hence, the shift is 16 hours long.

Learn more : brainly.com/question/18109354

8 0

3 years ago

Neeeeeeeeed your help

Over [174]

Answer:

9/15=3/5

so 3/5 is equivalent fraction of the 9/15

4 0

3 years ago

Read 2 more answers

There are 50 animals in a shelter. Sixty percent of the animals are dogs. Which equation can be used to find the number of dogs

svetoff [14.1K]

50*.6=30

so if you solve this equation it would be 30 dogs in the shelter

8 0

3 years ago

Read 2 more answers

Solve the system of equation by graphing Y=4x-3