3 months ago

Emily invests $5,000 in an

Mathematics

2 answers:

lawyer [12.5K]3 months ago

7 0

Answer:

50 years

Detailed breakdown:

Applying the simple interest formula:

PRT/100

Where P is the principal amount ($5000)

R represents the interest rate (4)

T signifies the time (x- unknown)

The total amount after time T is double the initial investment = 5000 * 2 = 10000

(5000 * 4 * x) / 100 = 10000

20000x / 100 = 10000

20000x = 100 * 10000

20000x = 1,000,000

x = 1,000,000 / 20,000

x = 50

It will require 50 years

Leona [12.6K]3 months ago

6 0

Answer:

50 years

Detailed breakdown:

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Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population for the fish of that species

Inessa [12570]

Answer:

2.30 years

Step-by-step explanation:

The fish population increased threefold in the first year, resulting in 240 * 3 = 720 fish.

(a) The logistic equation can be represented as follows

$P = P_0e^{kt}$

where P0 = 240 denotes the initial fish count; substituting P = 720 and t = 1 allows us to determine the constant k

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$e^k = 3$

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b) By applying the formula below

$P = P_0e^{kt}$

with P set to 3000, P0 as 240, and k equal to 1.1, we can compute the duration needed for the population to reach 3000 fish

$3000 = 240e^{1.1t}$

$12.5 = e^{1.1t}$

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$t = 2.30 years$

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2 months ago