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leonid
12 days ago
8

The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent. If world population w

ere to grow at this rate for the next year, approximately how many people would be added?
Mathematics
1 answer:
tester [3.9K]12 days ago
3 0

Answer:

Step-by-step explanation:

The world population currently is rising at a yearly rate of 1.35 percent. The nature of the growth is exponential. We will use the exponential growth formula, expressed as

A = P(1 + r)^t

Where:

A indicates the population after t years.

t symbolizes the number of years.

P is the initial population count.

r signifies the growth rate.

<pFrom the given data,

P = 6.1 × 10^9

r = 1.35% = 1.35/100 = 0.0135

t = 1

Hence,

A = 6.1 × 10^9(1 + 0.0135)^1

A = 6.1 × 10^9(1.0135)^1

A = 6182350000

The total number of people added would be

6182350000 - 6100000000

= 82350000

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A rocket was launched into the air from a podium 6 feet off the ground. The rocket path is represented by the equation h(t)=-16t
lawyer [4008]

Answer:

60

Step-by-step explanation:

The function provided is:

h(t)=-16t^2+120t+6

The average rate of change of h(t) as time goes from t=a to t=b is expressed as:

\frac{h(b)-h(a)}{b-a}

This function can be reformulated as: h(t)=-16(t-3.75)^2+231

The rocket's peak height is 231, which occurs at t=3.75 seconds.

\implies h(3.75)=231

The initial launch happens at: t=0

and h(0)=-16(0)^2+120(0)+6=6

The average rate of change from launch to max height is

\frac{h(3.75)-h(0)}{3.75-0}=\frac{231-6}{3.75-0} =60

6 0
8 days ago
A balance scale was in perfect balance when Jane placed a box of candy on one pane of the balance and 3/4 of the same sized cand
AnnZ [3877]

Answer:

Step-by-step explanation:

I'm fairly certain that addition is needed here.

When we combine two fractions like 3/4 + 3/4, we ensure that the denominators (the bottom parts) are identical before simply adding the numerators (the top parts).

In this case, the denominators match, so we straightforwardly combine 3+3 to get 6/4. The denominator remains the same.

               answer:

                      3/4 + 3/4    =   6/4

Hope this helps!

5 0
7 days ago
Sean took 4 hours to travel from Town A to Town B at an
Leona [4166]

Answer:

Tina's overall average speed for the journey is 56 km/h.

Step-by-step explanation:

Sean's travel time from Town A to Town B is 4 hours.

Sean's average speed is 70 km/h.

Using the motion equation, s = ut + 0.5 at², we can find:
Time, t = 4 hours.

Initial speed, u = 70 km/hr.

Acceleration, a = 0 m/s².

Replacing the variables:

      s = ut + 0.5 at²

      s = 70 x 4 + 0.5 x 0 x 4²

      s = 280 km

The distance from Town A to Town B is 280 km.

Tina's travel time exceeds Sean's by 1 hour.

Tina's time to travel from Town A to Town B is 4 + 1 = 5 hours.

Again applying the motion equation, s = ut + 0.5 at²:

Time, t = 5 hours.

Distance, s = 280 km.

Acceleration, a = 0 m/s².

Putting in values:

      s = ut + 0.5 at²

      280 = u x 5 + 0.5 x 0 x 5²

      u = 56 km/hr.

Tina's overall average speed is thus 56 km/h.

8 0
3 days ago
I need to increase my sales by 35% this month I’m currently at 45 sales how many sales do I need to meet my goal ?
Zina [3914]
Using the fact that 100% corresponds to 45 sales, and 35% corresponds to X sales:

Set up a proportion:
45 = 100%
x = 35%

This translates to the ratio (45/x) = (100/35).

Solving for x:
x = (45 × 35) / 100 = 15.75, which rounds to 16 sales.

Thus, you require at least 16 additional sales to boost your total by 35%.
8 0
13 days ago
Read 2 more answers
Which description is represented by a discrete graph?
Leona [4166]

Kiley purchased a platter for $19 and several bowls that cost $8 each. What is the total expense before tax? Just completed the assessment.

8 0
4 days ago
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