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3 years ago

a bacteria triples it’s original population in 25 hours (A=3A0). How big will it’s population be in 100 hours

Mathematics

1 answer:

Maru [420]3 years ago

7 0

Answer:

81 times the original size

Step-by-step explanation:

AA0ktA=3A0=?=?=25hours=A0ekt

Substitute the values in the formula.

3A0=A0ek⋅25

Solve for k. Divide each side by A0.

3A0A0=e25k

Take the natural log of each side.

ln3=lne25k

Use the power property.

ln3=25klne

Simplify.

ln3=25k

Divide each side by 25.

ln325=k

Approximate the answer.

k≈0.044

We use this rate of growth to predict the number of bacteria there will be in 100 hours.

AA0ktA=3A0=?=ln325=100hours=A0ekt

Substitute in the values.

A=A0eln325⋅100

Evaluate.

A=81A0

At this rate of growth, we can expect the population to be 81 times as large as the original population.

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Ramiro buys 50 packs of candy bars for $40 before a tax of 7.5%. He sells each candy var for 175% of what he paid before tax. ho

Zepler [3.9K]

Answer:

Cost price of each candy = $0.80, Selling price of each candy = $1.40

Step-by-step explanation:

Given:

Ramiro buys 50 packs of candy bars for $40 before a tax of 7.5%.

He sells each candy var for 175% of what he paid before tax.

Question asked:

How much does he buy each candy bar for ?

How much does he sell one for ?

Solution:

<u>By unitary method:</u>

Cost of 50 packs of candy bars = $40

Cost price of 1 pack of candy bars = $\frac{40}{50} =\$0.8$

Cost price of each candy = $0.80

Thus, he buy each candy bar for $0.80

Now:-

As he sells each candy var for 175% of what he paid before tax:-

Selling price of each candy = 0.80 $\times$ 175%

= $0.80\times\frac{175}{100} =\frac{140}{100}=\$1.4$

Thus, he sell one candy for $1.40

3 0

3 years ago

Pleas help me solve #1 :( <br> Your answer helps so much!!

miskamm [114]

ANSWER

$y = 7 \sqrt{2}$

$x = 7$

EXPLANATION

The given triangle has a right angle.

The side opposite to the 45° angle is 7 units.

To find angle x, we use the tangent ratio.

Recall the mnemonics TOA, which means,

$\tan(45 \degree) = \frac{opposite}{adjacent}$

$\tan(45 \degree) = \frac{7}{x}$

$1 = \frac{7}{x}$

$x = 7$

To find y, we use the sine ratio, which means

$\sin(45 \degree) = \frac{opposite}{hypotenuse}$

$\sin(45 \degree) = \frac{7}{y}$

$y= \frac{7}{\sin(45 \degree) }$

$y= \frac{7}{ \frac{1}{ \sqrt{2} } }$

$y = 7 \times \frac{ \sqrt{2} }{1}$

$y = 7 \sqrt{2}$

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3 years ago

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Harrizon [31]

Answer:

1. 7

2. B

3. C

Step-by-step explanation:

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Nick bought 5 tickets to go to the amusement park for $65. If he wanted to buy 8 tickets, what would that cost him?

d1i1m1o1n [39]

Answer:

$104

Step-by-step explanation:

First find how much 1 ticket costs

65/5= 13

Times that by 8

8x13=104

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