Answer:
Step-by-step explanation:
C THE MODE WILL NOT CHANGE BECAUSE IT WILL STILL BE 2 . BRAINLIEST ???
A quarter = 0.25......200 quarters = 200(0.25) = $ 50
a dime = 0.10...150 dimes = 150(0.10) = $ 15
a penny = 0.01....300 pennies = 300(0.01) = $ 3
for a total of : 50 + 15 + 3 = $ 68
Answer:
- shared short side: 10x +6
- shared long side: 8x +6
Step-by-step explanation:
The factors of the given polynomial are (2x+1) and (x+1). We presume these are the side lengths of each rectangular plot. If the short side (x+1) was common, then the perimeter of the combined lot is ...
4(2x+1) +2(x +1) = 10x +6 . . . units of fence for short side common
If the long side (2x+1) was common, then the perimeter of the combined lot is ...
4(x+1) +2(2x+1) = 8x +6 . . . units of fence for long side common
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
