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Arada [10]
3 years ago
13

Give an example of a nonlinear function. You can describe this function in one or more of the following ways: with a table, grap

h, or equation. Be sure to specify what are the inputs (the independent variable) and what are the outputs (the dependent variable).
Mathematics
1 answer:
klio [65]3 years ago
7 0

Answer:

y = x^2.

Step-by-step explanation:

This is nonlinear because, although it is a polynomial, its highest exponent is 2, not 1.

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What is the x-intercept of a parabola also called​
aliya0001 [1]

Answer:

maximum point

Step-by-step explanation:

7 0
3 years ago
jennifer deposited $2500 in her savings account. her account compounds interest continuously at a rate of 6.5%. How long will it
kiruha [24]

Answer:

2.8 years

Step-by-step explanation:

continuous compounding formula:

A = Pe^rt

3000 = 2500e^.065t

ln(6/5) ÷ .065 ≈ 2.8 years

3 0
2 years ago
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect
Liula [17]

Answer:

After 25 years the population will be:

  • Australia: 22271200
  • China: 1580220878
  • Mexico: 157380127
  • Zaire: 112794819

Step-by-step explanation:

Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:

 P(t) = P₀eʳᵗ

  • t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.
  • P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.
  • P₀ is the initial population at P(0)
  • r is the growth rate.<u><em> Don't forget to convert the percentage to its decimal form</em></u>

Now that everything is set out, lets use the equation to solve for our answer.

P(t) = P₀eʳᵗ

<u>Australia:</u>

P(t)=(19169000)e^{(0.006)t}

after 25 years

P(25)=(19169000)e^{(0.006)(25)}=22271200.6

<u>China:</u>

P(t) = (1261832000)e^{(.009)t}

after 25 years:

P(25)=(1261832000)e^{(.009)(25)}=1580220878

<u>Mexico:</u>

P(t) = (100350000)e^{(0.018)t}

after 25 years:

P(25)=(100350000)e^{(0.018)(25)}=157380127.8

<u>Zaire:</u>

P(t) = (51965000)e^{(0.031)t}

after 25 years:

P(25)=(51965000)e^{(0.031)(25)}=112794819.9

6 0
3 years ago
On a map the distance between Juneau and Fairbanks is 5 inches. The approximate distance is 625 miles. The
Maru [420]

Answer:

2437.5 Miles

Step-by-step explanation:

first find how many miles 1 inch is 625/5 = 125

next you multiply 19.5 * 125 = 2437.5 miles

4 0
3 years ago
A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus wa
lyudmila [28]

The kids have to wait for 1 hour to get their bags.

<u>Step-by-step explanation:</u>

Given that,

A bus with kids and a truck with their bags started moving from the school to the camp at the same time.

  • The speed of the bus was 60 mph.
  • It took kids 3 hours to reach the camp.

<u>To find the distance traveled by the bus :</u>

⇒ Distance = Speed × Time

⇒ 60 × 3

⇒ 180 m

∴ The distance is 180 m.

<u>To find the time taken by the truck to reach the camp :</u>

  • The speed of the truck was 45 mph.
  • We found the distance as 180 m.

Time taken = distance / speed.

⇒ 180 / 45

⇒ 4 hours.

∴ The time taken by the truck to reach the camp is 4 hours.

<u>To find how long the kids have to wait for their bags :</u>

The time taken by the truck to reach the camp - the time it took for the kids to arrive.

⇒ 4 hours - 3 hours

⇒ 1 hour.

∴ The kids have to wait for 1 hour to get their bags.

7 0
3 years ago
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