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%.
Answer:

Step-by-step explanation:
Given that,
The sum of first n term of a sequence is
We need to find the sum of the first 5 terms.
Put n = 5,

So, the sum of first 5 terms is equal to
.
Answer:
The equation for that models the total money and sandwiches bought is $ 15 = X × $4.50 , And The value of X is 3.33
Step-by-step explanation:
Given as :
The total value of gift card = $ 15
The cost of each sandwiches = $4.50
Let The number of sandwiches bought = X
So, According to question
The total value of gift card = cost of each sandwiches × number of sandwiches bought
Or, The total value of gift card = X × $4.50
Or, $ 15 = X × $4.50
∴ X =
I.e X = 3.33
Hence The equation for that models the total money and sandwiches bought is $ 15 = X × $4.50 , And The value of X is 3.33 Answer
The last one I can't get the signs up
Answer:
100°
Step-by-step explanation:
the angles are vertical, so they are equal.