So Is This (80+15) or something
Answer: 20 children
Step-by-step explanation:
<u>Given</u>
Year 4: 11 cannot swim
Year 5: 21 can swim
Year 6: 18 of 30 can swim
Total 96 children
Total 37 cannot swim
<u>First Step: find the number of people from year 5 who cannot swim</u>
- There are 30-18=12 people who cannot swim in year 6
- There are 11 who cannot swim in year 4
- Thus, we use the total number [37]-[year 4+year 6]=37-23=14 people who cannot swim in the year 5
<u>Second Step: find the number of children in year 5</u>
- There are 21 children who can swim
- There are 14 children who cannot swim
- 21+14=35 children
<u>Third Step: find the number of children in year 4 who can swim</u>
- There are 30 children in year 6
- There are 35 children in year 5
- There are 11 children in year 4 who cannot swim
- There are in total 96 children
- 96-30-35-11=20 children in year 4 who can swim
Hope this helps!! :)
Please let me know if you have any questions
Answer:

Step-by-step explanation:
Given the expression
, we will use laws of indices to get the equivalent expression as shown below;
According to one of the law of indices,


This gives the required expression
The last option all the way to the right
Answer:
a) 40 dollars
b) 480 dollars
Step-by-step explanation:
Given the average property tax on a three bedroom home in a certain community modelled by the equation T(x) =20x²+40x+600, the rate at which the property tax is increasing with respect to time in 2008 can be derived by solving for the function T'(x) at x=0
T'(x) = 2(20)x¹ + 40x° + 0
T'(x) = 40x+40
At x = 0,
T'(0) = 40(0)+40
T'(0) = 40
Hence the property tax was increasing at a rate of 40dollars with respect to the initial year (2008).
b) There are 4 years between 2008 and 2012. To know how much that the tax change between the years 2008 and 2012, we will find T(4) - T(0)
Given T(x) =20x²+40x+600
T(4) =20(4)²+40(4)+600
T(4) = 320+160+600
T(4) = 1080 dollars
Also T(0) =20(0)²+40(0)+600
T(0) = 0+0+600
T(0)= 600 dollars
T(4) - T(0) = 1080 - 600
T(4) - T(0) = 480 dollars
Hence, the tax has changed by $480 between 2008 and 2012