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arsen [322]
3 years ago
15

In a Laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at

the end of 2 hours if the count was initially 5, 06,000.
follow for follow ​

Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

Answer:

5,31,616 bacteria

Step-by-step explanation:

Solution:

Here, Principal (P) = 5,06,000, Rate of Interest (R) = 2.5%, Time (n) = 2 hours

After 2 hours, number of bacteria,

Amount (A) = P\left(1+\frac{R}{100}\right)^nP(1+100R)n

= 506000\left(1+\frac{2.5}{100}\right)^2506000(1+1002.5)2

= 506000\left(1+\frac{25}{1000}\right)^2506000(1+100025)2

= 506000\left(1+\frac{1}{40}\right)^2506000(1+401)2

= 506000\left(\frac{41}{40}\right)^2506000(4041)2

= 506000\times\frac{41}{40}\times\frac{41}{40}506000×4041×4041

= 5,31,616.25

Hence, number of bacteria after two hours are 531616 (approx.).

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Step-by-step explanation:

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2 years ago
When x is 4, y is 12. If y varies directly as x, which equation relates x and y?
zubka84 [21]

Answer:

12/4

Step-by-step explanation:

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3 years ago
At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a dia
Marina86 [1]

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = \frac{Diameter}{2}=\frac{3in}{2}=1.5in

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = \frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}

Number of soda cans are in a pack = \frac{423.9in^3}{42.39in^3}

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.

8 0
3 years ago
Sara compra 3 naranjas a Q 2.00 cada una. Compra un melón a
yanalaym [24]

Respuesta:

29.00

Explicación:

una naranja 3.00

un melón 12.00

una manzana 2.00 (porque una docena equivale 12 artículos; 24/12 es 2)

tres naranjas 3(3.00) = 9.00

un melón 12.00

cuatro manzanas 4(2.00) = 8.00

9.00 +12.00 +8.00

29.00

8 0
3 years ago
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