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3 years ago

Exponential growth can anyone give the answers to me? I’m completely lost!

Mathematics

2 answers:

jok3333 [9.3K]3 years ago

5 0

Answer:

a) F(12) = 821(1.02)¹² = 1041

b) F(120) = 821(1.02)¹²⁰ = 8838

All numbers rounded

PilotLPTM [1.2K]3 years ago

3 0

Answer:

The exponential growth model for frogs:

F(x) = 100(1.22)ˣ,

F- number of frogs, x- number of years, 1.22 - growth factor

Calculations:

F(5) = 100(1.22)⁵ = 270
a) F(10) = 100(1.22)¹⁰ = 730
b) F(20) = 100(1.22)²⁰ = 5335

All numbers rounded

The exponential growth model for bacteria:

B(x) = 10(1.8)ˣ

B- number of bacteria, x- number of hours, 1.8 - growth factor

Calculations:

a) B(5) = 10(1.8)⁵ = 189
b) B(24) = 10(1.8)²⁴ = 13382588
c) B(168) = 10(1.8)¹⁶⁸ = 7.68 * 10⁴³

All numbers rounded

Q3.

The exponential growth model for fish:

F(x) = 821(1.02)ˣ,

F- number of fish, x- number of months, 1.02 - growth factor

Calculations:

a) F(12) = 821(1.02)¹² = 1041
b) F(120) = 821(1.02)¹²⁰ = 8838

All numbers rounded

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LenaWriter [7]

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3 years ago

The sketch shows the distance three runners travel during a race. Describe what occurs at times A,B,C and D. In what order do th

goldfiish [28.3K]

Answer:

Notice that the distance is in the y-axis, and the time in the x-axis.

First, let's see what happens in the four points:

A) You can see that in point A, the steepness of the line increases, this means that the speed of the runner increases in that point.

B) In this point, the runner that increased his/her speed in point A crosses the graph of another runner, this means that they are at the same distance to the end and at the same time.

C) In this point again two runners are at the same distance and the same time, and we also can see that the runer that increased his/her speed at point A, now has reached the end of the race (because his line stops increasing, wich means that he/she already finished the race)

D) The las runner finishes the race at point D.

Then the first runner that finishes the race is the one with the shorter graph (shorter graph means that he ran for less time than the others, wich means that he/she finished first)

The last runner is the one that finished at point D,

The middle one finishes right after the point C.

6 0

3 years ago

Y=3x+18 -12x+4y=-24 linear system of equations

solong [7]

Answer:

Step-by-step explanation:

Use substitution, y=3x+18 so -12x+4(3x+18)=-24. From here you can try to solve for x

-12x+12x+72=-24

The xs cancel, which leaves you with 72=-24

Since 72 cannot equal -24 there is no answer to this system of equations