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3 years ago

Exponential Function:

Mathematics

2 answers:

Radda [10]3 years ago

5 0

same as above me

Step-by-step explanation:

antoniya [11.8K]3 years ago

3 0

Answer:

See below

Step-by-step explanation:

<h3>Given</h3>

Initial population at 8:00 AM
3000000
Growth rate = 10% = 1.1 times per 20 min

<h3>Solution</h3>

1. Table

Note. I am not sure what are the last 3 rows. Just added next 3 terms.

8:00 ≡ G(0) ≡ 3000000 ≡ 3000000
8:20 ≡ G(1) ≡ 3000000 *1.1 ≡ 3300000
8:40 ≡ G(2) ≡ 3000000 *1.1^2 ≡ 3630000
9:00 ≡ G(3) ≡ 3000000 *1.1^3 ≡ 3993000
9:20 ≡ G(4) ≡ 3000000 *1.1^4 ≡ 4392300

2. Population at 10:00

Time passed since 8:00 is 2 hours = 2*3*20 min = 6* 20 min
Population = 3000000*1.1^6 = 5314683

3. Function to reflect the population growth

G(x) = 3000000*1.1^x
G(x) - is dependent variable, population of bacteria
x - is independent variable, time increment of 20 min

4. Population after 5 hours

5 hours = 5*3*20 min = 15*20 min
G(15) = 3000000*1.1^15 ≈ 12531745

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For how many integer values of g is 6<3g <127

solniwko [45]

The integer values of g in 6<3g<127 is from 2 to 42.33.

Given that the inequality showing the variable g be 6<3g<127.

We are required to find the values of g.

Inequality is like an equation which shows the relationship between variables expressed in greater than,less than, greater than or equal sign, less than or equal to sign. It shows the range of the variables.

The inequality is 6<3g<127.

We have to divide both the sides by 3 because in the middle 3 is multiplied by 3.

6/3<g<127/3

2<g<42.33

Hence the integer values of g in 6<3g<127 is from 2 to 42.33.

Learn more about inequality at brainly.com/question/11613554

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1 year ago

The nth term of a sequence is 33 - 5n a) Work out the first three terms of the sequence.

levacccp [35]

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2 years ago

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3 years ago

Read 2 more answers

The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $138. The quantity demanded each mon

Stells [14]

Answer:

(a) $D(q)=\frac{-1}{25} q+148$

(b) $S(q)=\frac{1}{50}q+58$

Step-by-step explanation:

(a) For the demand equation D(q) we have

P1: 138 Q1: 250

P2: 108 Q2: 1000

We can find m, which is the slope of the demand equation,

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{108-38}{1000-250} =\frac{-30}{750}=\frac{-1}{25}$

and then we find b, which is the point where the curve intersects the y axis.

We can do it by plugging one point and the slope into the line equation form:

$y=mx+b\\\\D(q)=mq+b\\\\138=\frac{-1}{25}(250) +b\\\\138=-10+b\\\\138+10=b=148$

With b: 148 and m: -1/25 we can write our demand equation D(q)

$D(q)=\frac{-1}{25} q+148$

(b) to find the supply equation S(q) we have

P1: 102 Q1: 2200

P2: 102 Q2: 700

Similarly we find m, and b

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{72-102}{700-2200} =\frac{-30}{-1500}=\frac{1}{50}$

$y=mx+b\\\\D(q)=mq+b\\\\72=\frac{1}{50}(700) +b\\\\72=14+b\\\\72-14=b=58\\$

And we can write our Supply equation S(q):

$S(q)=\frac{1}{50}q+58$

(c) Now we may find the equilibrium quantity q* and the equilibrium price p* by writing D(q)=S(q), which means the demand equals the supply in equilibrium:

$D(q)=S(q)\\\\\frac{-1}{25}q+148=\frac{1}{50}q+58\\\\$