Answer:
Step-by-step explanation: the pattern is going positive to negative and going further away from zero so the next term would be -3
A. Every month Population will increase by a factor of 0.84%.
B. Every 3 months Population will increase by a factor of 2.5%.
C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.
<u>Step-by-step explanation:</u>
Here, we have number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as
which is equivalent to
.
<u>A.</u>
For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like
. ∴ Every month Population will increase by a factor of 0.84%.
<u>B.</u>
In every 3 months: We have , 12 months in a year , in order to check for every 3 months
and Now, Population increase in every 3 months is
. ∴ Every 3 months Population will increase by a factor of 2.5%.
<u>C.</u>
In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.
So , increase in population in every 20 months is 10% + 6.72% = 16.72%.
is the expression that demonstrates the distributive property
<em><u>Solution:</u></em>
Given that,
At a ski resort,
of the 300 skiers are beginners
of the 260 snowboarders are beginners
The resort staff used the distributive property to make the calculation of the total number of beginners on the ski slopes
Beginners in skiers =
of the 300
Beginners in snowboarders =
of the 260
Total number of beginners = Beginners in skiers + Beginners in snowboarders

We have to use distributive property
The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum
<h3>a(b + c) = ab + bc</h3>
<em><u>Therefore, our expression is:</u></em>

We have to take
as common term to get distributive property

Thus distributive property is applied
It’s negative 16 so i guess it’s a negative integer