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
Answer:
4 hours 25 minutes
Step-by-step explanation:
Multiply the time Alivia spent to how long Jessica spent longer.
2 * 2.25 = 4.5
700,000
Look at the ten thousands place. There is a 7, which is greater than five, so that means you have to round the number 6 up to a seven
Answer:
C. 57
Step-by-step explanation:
all triangles add up to 180. the tick marks show that ∠D and ∠ E are congruent so you do this and solve for x:
(4x + 1) + (4x + 1) + (5x - 4) = 180
13x - 2 = 180
13x = 182
x = 182/13
x = 14
4(14) + 1 = 57
