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natita [175]
2 years ago
11

What is one way the Pennsylvania colony was able to maintain peace with the Native American people?

Mathematics
1 answer:
myrzilka [38]2 years ago
5 0
B. Hshejsiaiajsgaiajbehsiabsvahajakajbsjs
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Emilio bought an ant farm that had 15 ants in it already. He read somewhere that
Nina [5.8K]

The number of ants in his farm after 12 weeks is 218.

Step-by-step explanation:

Step 1:

It is given that there are 15 ants initially and the ant population increases by 25% each week.

This is an exponential rate of increase that can be modeled by the following equation:

Number of ants after n weeks = Initial number of ants * (1 + rate of increase) ^{n}

Step 2:

Rate of increase = 25% = 25 / 100 = 0.25

Number of weeks = 12

Number of ants  after 12 weeks = 15* (1 + 0.25 )^{12} = 218.27 (rounded off to 218)

Step 3:

Answer:

The number of ants in his farm after 12 weeks is 218.

6 0
2 years ago
in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
2 years ago
The number of cows on a farm increased by 60. Because of better food, the amount of milk from each cow went up from 12.8 liters
attashe74 [19]

Answer:

Step-by-step explanation:

Number of cows increased=60

Old quality of milk consumed=12.8litres

New Increase in milk consumed=15litres

Therefore the number of cows in the farm if the quality of milk is 1340litres=y

Therefore, 1cow =15litres

y cows= 1340litres

Crossmultiply:

15litres×ycows=1340litres

Make y the subject of formula

y= 1340÷15

y=89.33cows

Therefore,the number of cows on the farm if farmer gets 1340litres of milk would be 89cows.

6 0
3 years ago
A jar contains 100 ounces of lemonade. A spout at the bottom of the jar is opened and the lemonade pours out at a rate of 10 oun
emmasim [6.3K]

Answer:

100 ounces(hope it help)

Step-by-step explanation:

because there is only 100 ounces in the jar.

4 0
3 years ago
10. Express the following as a single fraction.<br> x-1 +x+2 + x<br>2<br>5<br>4<br>​
Margaret [11]

Answer:

x+x+x=3x

2-1=1

3x+1

this is ansver

3 0
2 years ago
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