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3 years ago

Factorise... 3x2 - 6x

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

5 0

How to solve your question- 3 2 − 6

Grouping

The Common factor- 3 2 − 6 3 ( 2 − 2 )
Rewrite in factored form- 3 ( 2 − 2 ) 3 ( − 2 ) ⋅

Solution- 3 ( − 2 ) ⋅

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The population of deer forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 pe

jonny [76]

Answer:

<em>C. 3.8 years</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P(t)=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).

We have enough information to write the exponential model:

$P(t)=800(1+0.2)^t$

$P(t)=800(1.2)^t$

It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

$800(1.2)^t=1600$

Dividing by 800:

$(1.2)^t=1600/800=2$

Taking logarithms:

$t\log 1.2=\log 2$

Dividing by log 1.2:

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Calculating:

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3 years ago

Calculate the future value of the annuity assuming that it is (1) an ordinary annuity (2) an annuity due. Comparing the two type

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Answer: Here's the complete question.

calculate the future value of the annuity assuming that it is (1) an ordinary annuity (2) an annuity due. Comparing the two types of annuities, all else equal, which type is more preferable? Why? Amount of annuity Interest rate Deposit period (years) $500 12% 6

Ordinary annuity = 4545, annuity due = 4058 , ordinary annuity is better because it discounts for one less year

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it discounts for one less year.

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it compounds for one more year.

Ordinary annuity = 4545, annuity due = 4058 , ordinary annuity is better because it compounds for one more year.

Step-by-step explanation:

Future value of ordinary annuity = Amount*[{(1+r)n – 1}/r]

= 500*[{(1.12)6 – 1}/0.12]

= $4,057.59

i.e. $4,058

Future value of annuity due = (1+r)*Future value of ordinary annuity

= 1.12*4,058

= $4,545

Hence, the answer is

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it compounds for one more year.

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