We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
Answer: 70.8%
56 divided by 79= 0.708
0.708x100=70.8
A. He will have to buy 200 copies
B. He will have to pay $60 for the copies plus the %6 tax which would be a total of $63.60
Answer:
Most credit card companies also apply a late payment penalty if you owe a balance and do not make a payment. Ignoring that fee, Miriam's balance will increase as:
B(n) = 750(1.018)^n
where B(n) is Miriam's balance after n months. The progression will be:
$750.00
$763.50
$777.24
$791.23
$805.48
Step-by-step explanation:
