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2 years ago

Sarah is demonstraing the idea that polynomials are closed under addition. Her work and explanation are shown.

Mathematics

1 answer:

Solnce55 [7]2 years ago

8 0

John wick had 30 apples and hit 15

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A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred

Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest: Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P. Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

ln 3

ln (1 + r) = ---------------

100

= 1.0986 / 100 = 0.01986

We must solve this for r. Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today. Use the same equation: A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0

3 years ago

Pls help answer ASAP I will give Brainlyist

oksian1 [2.3K]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A man pays rs.1440 for income tax at rate of rs.2 per rs.100.Find his income.

KengaRu [80]

Total tax paid = 1440

Tax rate = Rs 2 per Rs 100

ATQ

1440 ÷ 2

= 720

720 × 100

Rs 72,000

His income is Rs 72,000

Answered by Gauthmath must click thanks and mark brainliest

7 0

4 years ago

Which is the least positive integer that should be multiplied with 2 × 2 × 2 × 3 so that we get

Elan Coil [88]

Answer:

Step-by-step explanation:

In order to have a perfect square you have to have at least two prime factors, and since three is quite clearly not in a pair, the answer is three.

8 0

3 years ago

I NEED HELP !!!! A taxi driver spends $105 every week on gas for 6 weeks. What integer represents the effect of buying $105 on g

aev [14]

.Answer:

-105

Step-by-step explanation:

Given

$Gas = \$105$ for 6 weeks

Required

Represent this as an integer

If the driver spends $105 on his taxi then it means that the money is debited from the driver's bank account.

Debit implies negative and it is represented by a negative symbon

Hence, the integer that represents this scenario is -105

7 0

3 years ago